diff --git a/MathJax.js b/MathJax.js
index 68ad0546c..1eed60150 100644
--- a/MathJax.js
+++ b/MathJax.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-if(document.getElementById&&document.childNodes&&document.createElement){if(!(window.MathJax&&MathJax.Hub)){if(window.MathJax){window.MathJax={AuthorConfig:window.MathJax}}else{window.MathJax={}}MathJax.isPacked=true;MathJax.version="2.3";MathJax.fileversion="2.3.1";(function(d){var b=window[d];if(!b){b=window[d]={}}var f=[];var c=function(g){var h=g.constructor;if(!h){h=new Function("")}for(var i in g){if(i!=="constructor"&&g.hasOwnProperty(i)){h[i]=g[i]}}return h};var a=function(){return new Function("return arguments.callee.Init.call(this,arguments)")};var e=a();e.prototype={bug_test:1};if(!e.prototype.bug_test){a=function(){return function(){return arguments.callee.Init.call(this,arguments)}}}b.Object=c({constructor:a(),Subclass:function(g,i){var h=a();h.SUPER=this;h.Init=this.Init;h.Subclass=this.Subclass;h.Augment=this.Augment;h.protoFunction=this.protoFunction;h.can=this.can;h.has=this.has;h.isa=this.isa;h.prototype=new this(f);h.prototype.constructor=h;h.Augment(g,i);return h},Init:function(g){var h=this;if(g.length===1&&g[0]===f){return h}if(!(h instanceof g.callee)){h=new g.callee(f)}return h.Init.apply(h,g)||h},Augment:function(g,h){var i;if(g!=null){for(i in g){if(g.hasOwnProperty(i)){this.protoFunction(i,g[i])}}if(g.toString!==this.prototype.toString&&g.toString!=={}.toString){this.protoFunction("toString",g.toString)}}if(h!=null){for(i in h){if(h.hasOwnProperty(i)){this[i]=h[i]}}}return this},protoFunction:function(h,g){this.prototype[h]=g;if(typeof g==="function"){g.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(g){return g.callee.SUPER},can:function(g){return typeof(this[g])==="function"},has:function(g){return typeof(this[g])!=="undefined"},isa:function(g){return(g instanceof Object)&&(this instanceof g)}},can:function(g){return this.prototype.can.call(this,g)},has:function(g){return this.prototype.has.call(this,g)},isa:function(h){var g=this;while(g){if(g===h){return true}else{g=g.SUPER}}return false},SimpleSUPER:c({constructor:function(g){return this.SimpleSUPER.define(g)},define:function(g){var i={};if(g!=null){for(var h in g){if(g.hasOwnProperty(h)){i[h]=this.wrap(h,g[h])}}if(g.toString!==this.prototype.toString&&g.toString!=={}.toString){i.toString=this.wrap("toString",g.toString)}}return i},wrap:function(i,h){if(typeof(h)==="function"&&h.toString().match(/\.\s*SUPER\s*\(/)){var g=new Function(this.wrapper);g.label=i;g.original=h;h=g;g.toString=this.stringify}return h},wrapper:function(){var h=arguments.callee;this.SUPER=h.SUPER[h.label];try{var g=h.original.apply(this,arguments)}catch(i){delete this.SUPER;throw i}delete this.SUPER;return g}.toString().replace(/^\s*function\s*\(\)\s*\{\s*/i,"").replace(/\s*\}\s*$/i,""),toString:function(){return this.original.toString.apply(this.original,arguments)}})})})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var CALLBACK=function(data){var cb=new Function("return arguments.callee.execute.apply(arguments.callee,arguments)");for(var id in CALLBACK.prototype){if(CALLBACK.prototype.hasOwnProperty(id)){if(typeof(data[id])!=="undefined"){cb[id]=data[id]}else{cb[id]=CALLBACK.prototype[id]}}}cb.toString=CALLBACK.prototype.toString;return cb};CALLBACK.prototype={isCallback:true,hook:function(){},data:[],object:window,execute:function(){if(!this.called||this.autoReset){this.called=!this.autoReset;return this.hook.apply(this.object,this.data.concat([].slice.call(arguments,0)))}},reset:function(){delete this.called},toString:function(){return this.hook.toString.apply(this.hook,arguments)}};var ISCALLBACK=function(f){return(typeof(f)==="function"&&f.isCallback)};var EVAL=function(code){return eval.call(window,code)};EVAL("var __TeSt_VaR__ = 1");if(window.__TeSt_VaR__){try{delete window.__TeSt_VaR__}catch(error){window.__TeSt_VaR__=null}}else{if(window.execScript){EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";window.execScript(code);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(args instanceof Array&&args.length===1){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return CALLBACK({hook:args})}else{if(args instanceof Array){if(typeof(args[0])==="string"&&args[1] instanceof Object&&typeof args[1][args[0]]==="function"){return CALLBACK({hook:args[1][args[0]],object:args[1],data:args.slice(2)})}else{if(typeof args[0]==="function"){return CALLBACK({hook:args[0],data:args.slice(1)})}else{if(typeof args[1]==="function"){return CALLBACK({hook:args[1],object:args[0],data:args.slice(2)})}}}}else{if(typeof(args)==="string"){return CALLBACK({hook:EVAL,data:[args]})}else{if(args instanceof Object){return CALLBACK(args)}else{if(typeof(args)==="undefined"){return CALLBACK({})}}}}}throw Error("Can't make callback from given data")};var DELAY=function(time,callback){callback=USING(callback);callback.timeout=setTimeout(callback,time);return callback};var WAITFOR=function(callback,signal){callback=USING(callback);if(!callback.called){WAITSIGNAL(callback,signal);signal.pending++}};var WAITEXECUTE=function(){var signals=this.signal;delete this.signal;this.execute=this.oldExecute;delete this.oldExecute;var result=this.execute.apply(this,arguments);if(ISCALLBACK(result)&&!result.called){WAITSIGNAL(result,signals)}else{for(var i=0,m=signals.length;i<m;i++){signals[i].pending--;if(signals[i].pending<=0){signals[i].call()}}}};var WAITSIGNAL=function(callback,signals){if(!(signals instanceof Array)){signals=[signals]}if(!callback.signal){callback.oldExecute=callback.execute;callback.execute=WAITEXECUTE;callback.signal=signals}else{if(signals.length===1){callback.signal.push(signals[0])}else{callback.signal=callback.signal.concat(signals)}}};var AFTER=function(callback){callback=USING(callback);callback.pending=0;for(var i=1,m=arguments.length;i<m;i++){if(arguments[i]){WAITFOR(arguments[i],callback)}}if(callback.pending===0){var result=callback();if(ISCALLBACK(result)){callback=result}}return callback};var HOOKS=MathJax.Object.Subclass({Init:function(reset){this.hooks=[];this.reset=reset},Add:function(hook,priority){if(priority==null){priority=10}if(!ISCALLBACK(hook)){hook=USING(hook)}hook.priority=priority;var i=this.hooks.length;while(i>0&&priority<this.hooks[i-1].priority){i--}this.hooks.splice(i,0,hook);return hook},Remove:function(hook){for(var i=0,m=this.hooks.length;i<m;i++){if(this.hooks[i]===hook){this.hooks.splice(i,1);return}}},Execute:function(){var callbacks=[{}];for(var i=0,m=this.hooks.length;i<m;i++){if(this.reset){this.hooks[i].reset()}var result=this.hooks[i].apply(window,arguments);if(ISCALLBACK(result)&&!result.called){callbacks.push(result)}}if(callbacks.length===1){return null}if(callbacks.length===2){return callbacks[1]}return AFTER.apply({},callbacks)}});var EXECUTEHOOKS=function(hooks,data,reset){if(!hooks){return null}if(!(hooks instanceof Array)){hooks=[hooks]}if(!(data instanceof Array)){data=(data==null?[]:[data])}var handler=HOOKS(reset);for(var i=0,m=hooks.length;i<m;i++){handler.Add(hooks[i])}return handler.Execute.apply(handler,data)};var QUEUE=BASE.Object.Subclass({Init:function(){this.pending=0;this.running=0;this.queue=[];this.Push.apply(this,arguments)},Push:function(){var callback;for(var i=0,m=arguments.length;i<m;i++){callback=USING(arguments[i]);if(callback===arguments[i]&&!callback.called){callback=USING(["wait",this,callback])}this.queue.push(callback)}if(!this.running&&!this.pending){this.Process()}return callback},Process:function(queue){while(!this.running&&!this.pending&&this.queue.length){var callback=this.queue[0];queue=this.queue.slice(1);this.queue=[];this.Suspend();var result=callback();this.Resume();if(queue.length){this.queue=queue.concat(this.queue)}if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}}},Suspend:function(){this.running++},Resume:function(){if(this.running){this.running--}},call:function(){this.Process.apply(this,arguments)},wait:function(callback){return callback}});var SIGNAL=QUEUE.Subclass({Init:function(name){QUEUE.prototype.Init.call(this);this.name=name;this.posted=[];this.listeners=HOOKS(true)},Post:function(message,callback,forget){callback=USING(callback);if(this.posting||this.pending){this.Push(["Post",this,message,callback,forget])}else{this.callback=callback;callback.reset();if(!forget){this.posted.push(message)}this.Suspend();this.posting=true;var result=this.listeners.Execute(message);if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}this.Resume();delete this.posting;if(!this.pending){this.call()}}return callback},Clear:function(callback){callback=USING(callback);if(this.posting||this.pending){callback=this.Push(["Clear",this,callback])}else{this.posted=[];callback()}return callback},call:function(){this.callback(this);this.Process()},Interest:function(callback,ignorePast,priority){callback=USING(callback);this.listeners.Add(callback,priority);if(!ignorePast){for(var i=0,m=this.posted.length;i<m;i++){callback.reset();var result=callback(this.posted[i]);if(ISCALLBACK(result)&&i===this.posted.length-1){WAITFOR(result,this)}}}return callback},NoInterest:function(callback){this.listeners.Remove(callback)},MessageHook:function(msg,callback,priority){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=HOOKS(true)}this.hooks[msg].Add(callback,priority);for(var i=0,m=this.posted.length;i<m;i++){if(this.posted[i]==msg){callback.reset();callback(this.posted[i])}}return callback},ExecuteHooks:function(msg,more){var type=((msg instanceof Array)?msg[0]:msg);if(!this.hooks[type]){return null}return this.hooks[type].Execute(msg)}},{signals:{},find:function(name){if(!SIGNAL.signals[name]){SIGNAL.signals[name]=new SIGNAL(name)}return SIGNAL.signals[name]}});BASE.Callback=BASE.CallBack=USING;BASE.Callback.Delay=DELAY;BASE.Callback.After=AFTER;BASE.Callback.Queue=QUEUE;BASE.Callback.Signal=SIGNAL.find;BASE.Callback.Hooks=HOOKS;BASE.Callback.ExecuteHooks=EXECUTEHOOKS})("MathJax");(function(d){var a=window[d];if(!a){a=window[d]={}}var c=(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined");var f=0;var g=function(h){if(document.styleSheets&&document.styleSheets.length>f){f=document.styleSheets.length}if(!h){h=(document.getElementsByTagName("head"))[0];if(!h){h=document.body}}return h};var e=[];var b=function(){for(var j=0,h=e.length;j<h;j++){a.Ajax.head.removeChild(e[j])}e=[]};a.Ajax={loaded:{},loading:{},loadHooks:{},timeout:15*1000,styleDelay:1,config:{root:""},STATUS:{OK:1,ERROR:-1},rootPattern:new RegExp("^\\["+d+"\\]"),fileURL:function(h){return h.replace(this.rootPattern,this.config.root)},Require:function(j,m){m=a.Callback(m);var k;if(j instanceof Object){for(var h in j){if(j.hasOwnProperty(h)){k=h.toUpperCase();j=j[h]}}}else{k=j.split(/\./).pop().toUpperCase()}j=this.fileURL(j);if(this.loaded[j]){m(this.loaded[j])}else{var l={};l[k]=j;this.Load(l,m)}return m},Load:function(j,l){l=a.Callback(l);var k;if(j instanceof Object){for(var h in j){if(j.hasOwnProperty(h)){k=h.toUpperCase();j=j[h]}}}else{k=j.split(/\./).pop().toUpperCase()}j=this.fileURL(j);if(this.loading[j]){this.addHook(j,l)}else{this.head=g(this.head);if(this.loader[k]){this.loader[k].call(this,j,l)}else{throw Error("Can't load files of type "+k)}}return l},LoadHook:function(k,l,j){l=a.Callback(l);if(k instanceof Object){for(var h in k){if(k.hasOwnProperty(h)){k=k[h]}}}k=this.fileURL(k);if(this.loaded[k]){l(this.loaded[k])}else{this.addHook(k,l,j)}return l},addHook:function(i,j,h){if(!this.loadHooks[i]){this.loadHooks[i]=MathJax.Callback.Hooks()}this.loadHooks[i].Add(j,h)},Preloading:function(){for(var k=0,h=arguments.length;k<h;k++){var j=this.fileURL(arguments[k]);if(!this.loading[j]){this.loading[j]={preloaded:true}}}},loader:{JS:function(i,k){var h=document.createElement("script");var j=a.Callback(["loadTimeout",this,i]);this.loading[i]={callback:k,timeout:setTimeout(j,this.timeout),status:this.STATUS.OK,script:h};this.loading[i].message=a.Message.File(i);h.onerror=j;h.type="text/javascript";h.src=i;this.head.appendChild(h)},CSS:function(h,j){var i=document.createElement("link");i.rel="stylesheet";i.type="text/css";i.href=h;this.loading[h]={callback:j,message:a.Message.File(h),status:this.STATUS.OK};this.head.appendChild(i);this.timer.create.call(this,[this.timer.file,h],i)}},timer:{create:function(i,h){i=a.Callback(i);if(h.nodeName==="STYLE"&&h.styleSheet&&typeof(h.styleSheet.cssText)!=="undefined"){i(this.STATUS.OK)}else{if(window.chrome&&h.nodeName==="LINK"){i(this.STATUS.OK)}else{if(c){this.timer.start(this,[this.timer.checkSafari2,f++,i],this.styleDelay)}else{this.timer.start(this,[this.timer.checkLength,h,i],this.styleDelay)}}}return i},start:function(i,h,j,k){h=a.Callback(h);h.execute=this.execute;h.time=this.time;h.STATUS=i.STATUS;h.timeout=k||i.timeout;h.delay=h.total=j||0;if(j){setTimeout(h,j)}else{h()}},time:function(h){this.total+=this.delay;this.delay=Math.floor(this.delay*1.05+5);if(this.total>=this.timeout){h(this.STATUS.ERROR);return 1}return 0},file:function(i,h){if(h<0){a.Ajax.loadTimeout(i)}else{a.Ajax.loadComplete(i)}},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(h,i,j){if(h.time(j)){return}if(document.styleSheets.length>i&&document.styleSheets[i].cssRules&&document.styleSheets[i].cssRules.length){j(h.STATUS.OK)}else{setTimeout(h,h.delay)}},checkLength:function(h,k,m){if(h.time(m)){return}var l=0;var i=(k.sheet||k.styleSheet);try{if((i.cssRules||i.rules||[]).length>0){l=1}}catch(j){if(j.message.match(/protected variable|restricted URI/)){l=1}else{if(j.message.match(/Security error/)){l=1}}}if(l){setTimeout(a.Callback([m,h.STATUS.OK]),0)}else{setTimeout(h,h.delay)}}},loadComplete:function(h){h=this.fileURL(h);var i=this.loading[h];if(i&&!i.preloaded){a.Message.Clear(i.message);clearTimeout(i.timeout);if(i.script){if(e.length===0){setTimeout(b,0)}e.push(i.script)}this.loaded[h]=i.status;delete this.loading[h];this.addHook(h,i.callback)}else{if(i){delete this.loading[h]}this.loaded[h]=this.STATUS.OK;i={status:this.STATUS.OK}}if(!this.loadHooks[h]){return null}return this.loadHooks[h].Execute(i.status)},loadTimeout:function(h){if(this.loading[h].timeout){clearTimeout(this.loading[h].timeout)}this.loading[h].status=this.STATUS.ERROR;this.loadError(h);this.loadComplete(h)},loadError:function(h){a.Message.Set(["LoadFailed","File failed to load: %1",h],null,2000);a.Hub.signal.Post(["file load error",h])},Styles:function(j,k){var h=this.StyleString(j);if(h===""){k=a.Callback(k);k()}else{var i=document.createElement("style");i.type="text/css";this.head=g(this.head);this.head.appendChild(i);if(i.styleSheet&&typeof(i.styleSheet.cssText)!=="undefined"){i.styleSheet.cssText=h}else{i.appendChild(document.createTextNode(h))}k=this.timer.create.call(this,k,i)}return k},StyleString:function(m){if(typeof(m)==="string"){return m}var j="",n,l;for(n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="string"){j+=n+" {"+m[n]+"}\n"}else{if(m[n] instanceof Array){for(var k=0;k<m[n].length;k++){l={};l[n]=m[n][k];j+=this.StyleString(l)}}else{if(n.substr(0,6)==="@media"){j+=n+" {"+this.StyleString(m[n])+"}\n"}else{if(m[n]!=null){l=[];for(var h in m[n]){if(m[n].hasOwnProperty(h)){if(m[n][h]!=null){l[l.length]=h+": "+m[n][h]}}}j+=n+" {"+l.join("; ")+"}\n"}}}}}}return j}}})("MathJax");MathJax.HTML={Element:function(c,e,d){var f=document.createElement(c);if(e){if(e.style){var b=e.style;e.style={};for(var g in b){if(b.hasOwnProperty(g)){e.style[g.replace(/-([a-z])/g,this.ucMatch)]=b[g]}}}MathJax.Hub.Insert(f,e)}if(d){if(!(d instanceof Array)){d=[d]}for(var a=0;a<d.length;a++){if(d[a] instanceof Array){f.appendChild(this.Element(d[a][0],d[a][1],d[a][2]))}else{if(c==="script"){this.setScript(f,d[a])}else{f.appendChild(document.createTextNode(d[a]))}}}}return f},ucMatch:function(a,b){return b.toUpperCase()},addElement:function(b,a,d,c){return b.appendChild(this.Element(a,d,c))},TextNode:function(a){return document.createTextNode(a)},addText:function(a,b){return a.appendChild(this.TextNode(b))},setScript:function(a,b){if(this.setScriptBug){a.text=b}else{while(a.firstChild){a.removeChild(a.firstChild)}this.addText(a,b)}},getScript:function(a){var b=(a.text===""?a.innerHTML:a.text);return b.replace(/^\s+/,"").replace(/\s+$/,"")},Cookie:{prefix:"mjx",expires:365,Set:function(a,e){var d=[];if(e){for(var g in e){if(e.hasOwnProperty(g)){d.push(g+":"+e[g].toString().replace(/&/g,"&&"))}}}var b=this.prefix+"."+a+"="+escape(d.join("&;"));if(this.expires){var f=new Date();f.setDate(f.getDate()+this.expires);b+="; expires="+f.toGMTString()}try{document.cookie=b+"; path=/"}catch(c){}},Get:function(c,h){if(!h){h={}}var g=new RegExp("(?:^|;\\s*)"+this.prefix+"\\."+c+"=([^;]*)(?:;|$)");var b=g.exec(document.cookie);if(b&&b[1]!==""){var e=unescape(b[1]).split("&;");for(var d=0,a=e.length;d<a;d++){b=e[d].match(/([^:]+):(.*)/);var f=b[2].replace(/&&/g,"&");if(f==="true"){f=true}else{if(f==="false"){f=false}else{if(f.match(/^-?(\d+(\.\d+)?|\.\d+)$/)){f=parseFloat(f)}}}h[b[1]]=f}}return h}}};MathJax.Localization={locale:"en",directory:"[MathJax]/localization",strings:{br:{menuTitle:"brezhoneg"},cdo:{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304"},cs:{menuTitle:"\u010Desky"},da:{menuTitle:"dansk"},de:{menuTitle:"Deutsch"},en:{menuTitle:"English",isLoaded:true},eo:{menuTitle:"Esperanto"},es:{menuTitle:"espa\u00F1ol"},fa:{menuTitle:"\u0641\u0627\u0631\u0633\u06CC"},fi:{menuTitle:"suomi"},fr:{menuTitle:"fran\u00E7ais"},gl:{menuTitle:"galego"},he:{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA"},ia:{menuTitle:"interlingua"},it:{menuTitle:"italiano"},ja:{menuTitle:"\u65E5\u672C\u8A9E"},ko:{menuTitle:"\uD55C\uAD6D\uC5B4"},lb:{menuTitle:"L\u00EBtzebuergesch"},mk:{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438"},nl:{menuTitle:"Nederlands"},oc:{menuTitle:"occitan"},pl:{menuTitle:"polski"},"pt-br":{menuTitle:"portugu\u00EAs do Brasil"},pt:{menuTitle:"portugus\u00EA"},ru:{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439"},sl:{menuTitle:"sloven\u0161\u010Dina"},sv:{menuTitle:"svenska"},tr:{menuTitle:"T\u00FCrk\u00E7e"},uk:{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430"},"zh-hans":{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09"}},pattern:/%(\d+|\{\d+\}|\{[a-z]+:\%\d+(?:\|(?:%\{\d+\}|%.|[^\}])*)+\}|.)/g,SPLIT:("axb".split(/(x)/).length===3?function(a,b){return a.split(b)}:function(c,e){var a=[],b,d=0;e.lastIndex=0;while(b=e.exec(c)){a.push(c.substr(d,b.index));a.push.apply(a,b.slice(1));d=b.index+b[0].length}a.push(c.substr(d));return a}),_:function(b,a){if(a instanceof Array){return this.processSnippet(b,a)}return this.processString(this.lookupPhrase(b,a),[].slice.call(arguments,2))},processString:function(l,o,g){var j,e;for(j=0,e=o.length;j<e;j++){if(g&&o[j] instanceof Array){o[j]=this.processSnippet(g,o[j])}}var f=this.SPLIT(l,this.pattern);for(j=1,e=f.length;j<e;j+=2){var p=f[j].charAt(0);if(p>="0"&&p<="9"){f[j]=o[f[j]-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{if(p==="{"){p=f[j].substr(1);if(p>="0"&&p<="9"){f[j]=o[f[j].substr(1,f[j].length-2)-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{var k=f[j].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(k){if(k[1]==="plural"){var d=o[k[2]-1];if(typeof d==="undefined"){f[j]="???"}else{d=this.plural(d)-1;var h=k[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uEFEF").split(/\|/);if(d>=0&&d<h.length){f[j]=this.processString(h[d].replace(/\uEFEF/g,"|"),o,g)}else{f[j]="???"}}}else{f[j]="%"+f[j]}}}}}if(f[j]==null){f[j]="???"}}if(!g){return f.join("")}var a=[],b="";for(j=0;j<e;j++){b+=f[j];j++;if(j<e){if(f[j] instanceof Array){a.push(b);a=a.concat(f[j]);b=""}else{b+=f[j]}}}if(b!==""){a.push(b)}return a},processSnippet:function(g,e){var c=[];for(var d=0,b=e.length;d<b;d++){if(e[d] instanceof Array){var f=e[d];if(typeof f[1]==="string"){var h=f[0];if(!(h instanceof Array)){h=[g,h]}var a=this.lookupPhrase(h,f[1]);c=c.concat(this.processMarkdown(a,f.slice(2),g))}else{if(f[1] instanceof Array){c=c.concat(this.processSnippet.apply(this,f))}else{if(f.length>=3){c.push([f[0],f[1],this.processSnippet(g,f[2])])}else{c.push(e[d])}}}}else{c.push(e[d])}}return c},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(b,h,d){var j=[],e;var c=b.split(this.markdownPattern);var g=c[0];for(var f=1,a=c.length;f<a;f+=8){if(c[f+1]){e=this.processString(c[f+2],h,d);if(!(e instanceof Array)){e=[e]}e=[["b","i","i"][c[f+1].length-1],{},e];if(c[f+1].length===3){e=["b",{},e]}}else{if(c[f+3]){e=this.processString(c[f+4].replace(/^\s/,"").replace(/\s$/,""),h,d);if(!(e instanceof Array)){e=[e]}e=["code",{},e]}else{if(c[f+5]){e=this.processString(c[f+5],h,d);if(!(e instanceof Array)){e=[e]}e=["a",{href:this.processString(c[f+6],h),target:"_blank"},e]}else{g+=c[f];e=null}}}if(e){j=this.concatString(j,g,h,d);j.push(e);g=""}if(c[f+7]!==""){g+=c[f+7]}}j=this.concatString(j,g,h,d);return j},concatString:function(a,c,b,d){if(c!=""){c=this.processString(c,b,d);if(!(c instanceof Array)){c=[c]}a=a.concat(c)}return a},lookupPhrase:function(f,a,d){if(!d){d="_"}if(f instanceof Array){d=(f[0]||"_");f=(f[1]||"")}var c=this.loadDomain(d);if(c){MathJax.Hub.RestartAfter(c)}var b=this.strings[this.locale];if(b){if(b.domains&&d in b.domains){var e=b.domains[d];if(e.strings&&f in e.strings){a=e.strings[f]}}}return a},loadFile:function(b,d,e){e=MathJax.Callback(e||{});b=(d.file||b);if(!b.match(/\.js$/)){b+=".js"}if(!b.match(/^([a-z]+:|\[MathJax\])/)){var a=(this.strings[this.locale].directory||this.directory+"/"+this.locale||"[MathJax]/localization/"+this.locale);b=a+"/"+b}var c=MathJax.Ajax.Require(b,function(){d.isLoaded=true;return e()});return(c.called?null:c)},loadDomain:function(c,e){var b,a=this.strings[this.locale];if(a){if(!a.isLoaded){b=this.loadFile(this.locale,a);if(b){return MathJax.Callback.Queue(b,["loadDomain",this,c]).Push(e)}}if(a.domains&&c in a.domains){var d=a.domains[c];if(!d.isLoaded){b=this.loadFile(c,d);if(b){return MathJax.Callback.Queue(b).Push(e)}}}}return MathJax.Callback(e)()},Try:function(a){a=MathJax.Callback(a);a.autoReset=true;try{a()}catch(b){if(!b.restart){throw b}MathJax.Callback.After(["Try",this,a],b.restart)}},resetLocale:function(a){if(!a){return}a=a.toLowerCase();while(!this.strings[a]){var c=a.lastIndexOf("-");if(c===-1){return}a=a.substring(0,c)}var b=this.strings[a].remap;this.locale=b?b:a},setLocale:function(a){this.resetLocale(a);if(MathJax.Menu){this.loadDomain("MathMenu")}},addTranslation:function(b,e,c){var d=this.strings[b],a=false;if(!d){d=this.strings[b]={};a=true}if(!d.domains){d.domains={}}if(e){if(!d.domains[e]){d.domains[e]={}}d=d.domains[e]}MathJax.Hub.Insert(d,c);if(a&&MathJax.Menu.menu){MathJax.Menu.CreateLocaleMenu()}},setCSS:function(b){var a=this.strings[this.locale];if(a){if(a.fontFamily){b.style.fontFamily=a.fontFamily}if(a.fontDirection){b.style.direction=a.fontDirection;if(a.fontDirection==="rtl"){b.style.textAlign="right"}}}return b},fontFamily:function(){var a=this.strings[this.locale];return(a?a.fontFamily:null)},fontDirection:function(){var a=this.strings[this.locale];return(a?a.fontDirection:null)},plural:function(b){var a=this.strings[this.locale];if(a&&a.plural){return a.plural(b)}if(b==1){return 1}return 2},number:function(b){var a=this.strings[this.locale];if(a&&a.number){return a.number(b)}return b}};MathJax.Message={ready:false,log:[{}],current:null,textNodeBug:(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined")||(window.hasOwnProperty&&window.hasOwnProperty("konqueror")),styles:{"#MathJax_Message":{position:"fixed",left:"1px",bottom:"2px","background-color":"#E6E6E6",border:"1px solid #959595",margin:"0px",padding:"2px 8px","z-index":"102",color:"black","font-size":"80%",width:"auto","white-space":"nowrap"},"#MathJax_MSIE_Frame":{position:"absolute",top:0,left:0,width:"0px","z-index":101,border:"0px",margin:"0px",padding:"0px"}},browsers:{MSIE:function(a){MathJax.Hub.config.styles["#MathJax_Message"].position="absolute";MathJax.Message.quirks=(document.compatMode==="BackCompat")},Chrome:function(a){MathJax.Hub.config.styles["#MathJax_Message"].bottom="1.5em";MathJax.Hub.config.styles["#MathJax_Message"].left="1em"}},Init:function(a){if(a){this.ready=true}if(!document.body||!this.ready){return false}if(this.div&&this.div.parentNode==null){this.div=document.getElementById("MathJax_Message");if(this.div){this.text=this.div.firstChild}}if(!this.div){var b=document.body;if(MathJax.Hub.Browser.isMSIE){b=this.frame=this.addDiv(document.body);b.removeAttribute("id");b.style.position="absolute";b.style.border=b.style.margin=b.style.padding="0px";b.style.zIndex="101";b.style.height="0px";b=this.addDiv(b);b.id="MathJax_MSIE_Frame";window.attachEvent("onscroll",this.MoveFrame);window.attachEvent("onresize",this.MoveFrame);this.MoveFrame()}this.div=this.addDiv(b);this.div.style.display="none";this.text=this.div.appendChild(document.createTextNode(""))}return true},addDiv:function(a){var b=document.createElement("div");b.id="MathJax_Message";if(a.firstChild){a.insertBefore(b,a.firstChild)}else{a.appendChild(b)}return b},MoveFrame:function(){var a=(MathJax.Message.quirks?document.body:document.documentElement);var b=MathJax.Message.frame;b.style.left=a.scrollLeft+"px";b.style.top=a.scrollTop+"px";b.style.width=a.clientWidth+"px";b=b.firstChild;b.style.height=a.clientHeight+"px"},localize:function(a){return MathJax.Localization._(a,a)},filterText:function(a,c,b){if(MathJax.Hub.config.messageStyle==="simple"){if(b==="LoadFile"){if(!this.loading){this.loading=this.localize("Loading")+" "}a=this.loading;this.loading+="."}else{if(b==="ProcessMath"){if(!this.processing){this.processing=this.localize("Processing")+" "}a=this.processing;this.processing+="."}else{if(b==="TypesetMath"){if(!this.typesetting){this.typesetting=this.localize("Typesetting")+" "}a=this.typesetting;this.typesetting+="."}}}}return a},Set:function(c,e,b){if(e==null){e=this.log.length;this.log[e]={}}var d="";if(c instanceof Array){d=c[0];if(d instanceof Array){d=d[1]}try{c=MathJax.Localization._.apply(MathJax.Localization,c)}catch(a){if(!a.restart){throw a}if(!a.restart.called){if(this.log[e].restarted==null){this.log[e].restarted=0}this.log[e].restarted++;delete this.log[e].cleared;MathJax.Callback.After(["Set",this,c,e,b],a.restart);return e}}}if(this.timer){clearTimeout(this.timer);delete this.timer}this.log[e].text=c;this.log[e].filteredText=c=this.filterText(c,e,d);if(typeof(this.log[e].next)==="undefined"){this.log[e].next=this.current;if(this.current!=null){this.log[this.current].prev=e}this.current=e}if(this.current===e&&MathJax.Hub.config.messageStyle!=="none"){if(this.Init()){if(this.textNodeBug){this.div.innerHTML=c}else{this.text.nodeValue=c}this.div.style.display="";if(this.status){window.status="";delete this.status}}else{window.status=c;this.status=true}}if(this.log[e].restarted){if(this.log[e].cleared){b=0}if(--this.log[e].restarted===0){delete this.log[e].cleared}}if(b){setTimeout(MathJax.Callback(["Clear",this,e]),b)}else{if(b==0){this.Clear(e,0)}}return e},Clear:function(b,a){if(this.log[b].prev!=null){this.log[this.log[b].prev].next=this.log[b].next}if(this.log[b].next!=null){this.log[this.log[b].next].prev=this.log[b].prev}if(this.current===b){this.current=this.log[b].next;if(this.text){if(this.div.parentNode==null){this.Init()}if(this.current==null){if(this.timer){clearTimeout(this.timer);delete this.timer}if(a==null){a=600}if(a===0){this.Remove()}else{this.timer=setTimeout(MathJax.Callback(["Remove",this]),a)}}else{if(MathJax.Hub.config.messageStyle!=="none"){if(this.textNodeBug){this.div.innerHTML=this.log[this.current].filteredText}else{this.text.nodeValue=this.log[this.current].filteredText}}}if(this.status){window.status="";delete this.status}}else{if(this.status){window.status=(this.current==null?"":this.log[this.current].text)}}}delete this.log[b].next;delete this.log[b].prev;delete this.log[b].filteredText;if(this.log[b].restarted){this.log[b].cleared=true}},Remove:function(){this.text.nodeValue="";this.div.style.display="none"},File:function(b){var a=MathJax.Ajax.config.root;if(b.substr(0,a.length)===a){b="[MathJax]"+b.substr(a.length)}return this.Set(["LoadFile","Loading %1",b],null,null)},Log:function(){var b=[];for(var c=1,a=this.log.length;c<a;c++){b[c]=this.log[c].text}return b.join("\n")}};MathJax.Hub={config:{root:"",config:[],styleSheets:[],styles:{".MathJax_Preview":{color:"#888"}},jax:[],extensions:[],preJax:null,postJax:null,displayAlign:"center",displayIndent:"0",preRemoveClass:"MathJax_Preview",showProcessingMessages:true,messageStyle:"normal",delayStartupUntil:"none",skipStartupTypeset:false,elements:[],positionToHash:true,showMathMenu:true,showMathMenuMSIE:true,menuSettings:{zoom:"None",CTRL:false,ALT:false,CMD:false,Shift:false,discoverable:false,zscale:"200%",renderer:"",font:"Auto",context:"MathJax",locale:"en",mpContext:false,mpMouse:false,texHints:true},errorSettings:{message:["[",["MathProcessingError","Math Processing Error"],"]"],style:{color:"#CC0000","font-style":"italic"}}},preProcessors:MathJax.Callback.Hooks(true),inputJax:{},outputJax:{order:{}},processUpdateTime:250,processUpdateDelay:10,signal:MathJax.Callback.Signal("Hub"),Config:function(a){this.Insert(this.config,a);if(this.config.Augment){this.Augment(this.config.Augment)}},CombineConfig:function(c,f){var b=this.config,g,e;c=c.split(/\./);for(var d=0,a=c.length;d<a;d++){g=c[d];if(!b[g]){b[g]={}}e=b;b=b[g]}e[g]=b=this.Insert(f,b);return b},Register:{PreProcessor:function(){MathJax.Hub.preProcessors.Add.apply(MathJax.Hub.preProcessors,arguments)},MessageHook:function(){return MathJax.Hub.signal.MessageHook.apply(MathJax.Hub.signal,arguments)},StartupHook:function(){return MathJax.Hub.Startup.signal.MessageHook.apply(MathJax.Hub.Startup.signal,arguments)},LoadHook:function(){return MathJax.Ajax.LoadHook.apply(MathJax.Ajax,arguments)}},getAllJax:function(e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax){c.push(b[d].MathJax.elementJax)}}return c},getJaxByType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].MathJax.elementJax.mimeType===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxByInputType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].type&&b[d].type.replace(/ *;(.|\s)*/,"")===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxFor:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a&&a.MathJax){return a.MathJax.elementJax}if(a&&a.isMathJax){while(a&&!a.jaxID){a=a.parentNode}if(a){return MathJax.OutputJax[a.jaxID].getJaxFromMath(a)}}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a&&a.isMathJax){return 1}if(a&&a.tagName!=null&&a.tagName.toLowerCase()==="script"){if(a.MathJax){return(a.MathJax.state===MathJax.ElementJax.STATE.PROCESSED?1:-1)}if(a.type&&this.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},setRenderer:function(d,c){if(!d){return}if(!MathJax.OutputJax[d]){this.config.menuSettings.renderer="";var b="[MathJax]/jax/output/"+d+"/config.js";return MathJax.Ajax.Require(b,["setRenderer",this,d,c])}else{this.config.menuSettings.renderer=d;if(c==null){c="jax/mml"}var a=this.outputJax;if(a[c]&&a[c].length){if(d!==a[c][0].id){a[c].unshift(MathJax.OutputJax[d]);return this.signal.Post(["Renderer Selected",d])}}return null}},Queue:function(){return this.queue.Push.apply(this.queue,arguments)},Typeset:function(e,f){if(!MathJax.isReady){return null}var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["PreProcess",this,c.elements[d]],["Process",this,c.elements[d]])}}return b.Push(c.callback)},PreProcess:function(e,f){var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["Post",this.signal,["Begin PreProcess",c.elements[d]]],(arguments.callee.disabled?{}:["Execute",this.preProcessors,c.elements[d]]),["Post",this.signal,["End PreProcess",c.elements[d]]])}}return b.Push(c.callback)},Process:function(a,b){return this.takeAction("Process",a,b)},Update:function(a,b){return this.takeAction("Update",a,b)},Reprocess:function(a,b){return this.takeAction("Reprocess",a,b)},Rerender:function(a,b){return this.takeAction("Rerender",a,b)},takeAction:function(g,e,h){var c=this.elementCallback(e,h);var b=MathJax.Callback.Queue(["Clear",this.signal]);for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){var f={scripts:[],start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]};b.Push(["Post",this.signal,["Begin "+g,c.elements[d]]],["Post",this.signal,["Begin Math",c.elements[d],g]],["prepareScripts",this,g,c.elements[d],f],["Post",this.signal,["Begin Math Input",c.elements[d],g]],["processInput",this,f],["Post",this.signal,["End Math Input",c.elements[d],g]],["prepareOutput",this,f,"preProcess"],["Post",this.signal,["Begin Math Output",c.elements[d],g]],["processOutput",this,f],["Post",this.signal,["End Math Output",c.elements[d],g]],["prepareOutput",this,f,"postProcess"],["Post",this.signal,["End Math",c.elements[d],g]],["Post",this.signal,["End "+g,c.elements[d]]])}}return b.Push(c.callback)},scriptAction:{Process:function(a){},Update:function(b){var a=b.MathJax.elementJax;if(a&&a.needsUpdate()){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}else{b.MathJax.state=a.STATE.PROCESSED}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}},Rerender:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.OUTPUT}}},prepareScripts:function(h,e,g){if(arguments.callee.disabled){return}var b=this.elementScripts(e);var f=MathJax.ElementJax.STATE;for(var d=0,a=b.length;d<a;d++){var c=b[d];if(c.type&&this.inputJax[c.type.replace(/ *;(.|\n)*/,"")]){if(c.MathJax){if(c.MathJax.elementJax&&c.MathJax.elementJax.hover){MathJax.Extension.MathEvents.Hover.ClearHover(c.MathJax.elementJax)}if(c.MathJax.state!==f.PENDING){this.scriptAction[h](c)}}if(!c.MathJax){c.MathJax={state:f.PENDING}}if(c.MathJax.state!==f.PROCESSED){g.scripts.push(c)}}}},checkScriptSiblings:function(a){if(a.MathJax.checked){return}var b=this.config,f=a.previousSibling;if(f&&f.nodeName==="#text"){var d,e,c=a.nextSibling;if(c&&c.nodeName!=="#text"){c=null}if(b.preJax){if(typeof(b.preJax)==="string"){b.preJax=new RegExp(b.preJax+"$")}d=f.nodeValue.match(b.preJax)}if(b.postJax&&c){if(typeof(b.postJax)==="string"){b.postJax=new RegExp("^"+b.postJax)}e=c.nodeValue.match(b.postJax)}if(d&&(!b.postJax||e)){f.nodeValue=f.nodeValue.replace(b.preJax,(d.length>1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var h,e,d=a.scripts.length;try{while(a.i<d){h=a.scripts[a.i];if(!h){a.i++;continue}e=h.previousSibling;if(e&&e.className==="MathJax_Error"){e.parentNode.removeChild(e)}if(!h.MathJax||h.MathJax.state===i.PROCESSED){a.i++;continue}if(!h.MathJax.elementJax||h.MathJax.state===i.UPDATE){this.checkScriptSiblings(h);var g=h.type.replace(/ *;(.|\s)*/,"");b=this.inputJax[g].Process(h,a);if(typeof b==="function"){if(b.called){continue}this.RestartAfter(b)}b.Attach(h,this.inputJax[g].id);this.saveScript(b,a,h,i)}else{if(h.MathJax.state===i.OUTPUT){this.saveScript(h.MathJax.elementJax,a,h,i)}}a.i++;var c=new Date().getTime();if(c-a.start>this.processUpdateTime&&a.i<a.scripts.length){a.start=c;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(f){return this.processError(f,a,"Input")}if(a.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["ProcessMath","Processing math: %1%%",100],0)}a.start=new Date().getTime();a.i=a.j=0;return null},saveScript:function(a,d,b,c){if(!this.outputJax[a.mimeType]){b.MathJax.state=c.UPDATE;throw Error("No output jax registered for "+a.mimeType)}a.outputJax=this.outputJax[a.mimeType][0].id;if(!d.jax[a.outputJax]){if(d.jaxIDs.length===0){d.jax[a.outputJax]=d.scripts}else{if(d.jaxIDs.length===1){d.jax[d.jaxIDs[0]]=d.scripts.slice(0,d.i)}d.jax[a.outputJax]=[]}d.jaxIDs.push(a.outputJax)}if(d.jaxIDs.length>1){d.jax[a.outputJax].push(b)}b.MathJax.state=c.OUTPUT},prepareOutput:function(c,f){while(c.j<c.jaxIDs.length){var e=c.jaxIDs[c.j],d=MathJax.OutputJax[e];if(d[f]){try{var a=d[f](c);if(typeof a==="function"){if(a.called){continue}this.RestartAfter(a)}}catch(b){if(!b.restart){MathJax.Message.Set(["PrepError","Error preparing %1 output (%2)",e,f],null,600);MathJax.Hub.lastPrepError=b;c.j++}return MathJax.Callback.After(["prepareOutput",this,c,f],b.restart)}}c.j++}return null},processOutput:function(h){var b,g=MathJax.ElementJax.STATE,d,a=h.scripts.length;try{while(h.i<a){d=h.scripts[h.i];if(!d||!d.MathJax||d.MathJax.error){h.i++;continue}var c=d.MathJax.elementJax;if(!c){h.i++;continue}b=MathJax.OutputJax[c.outputJax].Process(d,h);d.MathJax.state=g.PROCESSED;h.i++;if(d.MathJax.preview){d.MathJax.preview.innerHTML=""}this.signal.Post(["New Math",c.inputID]);var e=new Date().getTime();if(e-h.start>this.processUpdateTime&&h.i<h.scripts.length){h.start=e;this.RestartAfter(MathJax.Callback.Delay(this.processUpdateDelay))}}}catch(f){return this.processError(f,h,"Output")}if(h.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["TypesetMath","Typesetting math: %1%%",100],0);MathJax.Message.Clear(0)}h.i=h.j=0;return null},processMessage:function(d,b){var a=Math.floor(d.i/(d.scripts.length)*100);var c=(b==="Output"?["TypesetMath","Typesetting math: %1%%"]:["ProcessMath","Processing math: %1%%"]);if(this.config.showProcessingMessages){MathJax.Message.Set(c.concat(a),0)}},processError:function(b,c,a){if(!b.restart){if(!this.config.errorSettings.message){throw b}this.formatError(c.scripts[c.i],b);c.i++}this.processMessage(c,a);return MathJax.Callback.After(["process"+a,this,c],b.restart)},formatError:function(b,e){var d="Error: "+e.message+"\n";if(e.sourceURL){d+="\nfile: "+e.sourceURL}if(e.line){d+="\nline: "+e.line}b.MathJax.error=MathJax.OutputJax.Error.Jax(d,b);var f=this.config.errorSettings;var a=MathJax.Localization._(f.messageId,f.message);var c=MathJax.HTML.Element("span",{className:"MathJax_Error",jaxID:"Error",isMathJax:true},a);if(MathJax.Extension.MathEvents){c.oncontextmenu=MathJax.Extension.MathEvents.Event.Menu;c.onmousedown=MathJax.Extension.MathEvents.Event.Mousedown}else{MathJax.Ajax.Require("[MathJax]/extensions/MathEvents.js",function(){c.oncontextmenu=MathJax.Extension.MathEvents.Event.Menu;c.onmousedown=MathJax.Extension.MathEvents.Event.Mousedown})}b.parentNode.insertBefore(c,b);if(b.MathJax.preview){b.MathJax.preview.innerHTML=""}this.lastError=e;this.signal.Post(["Math Processing Error",b,e])},RestartAfter:function(a){throw this.Insert(Error("restart"),{restart:MathJax.Callback(a)})},elementCallback:function(c,f){if(f==null&&(c instanceof Array||typeof c==="function")){try{MathJax.Callback(c);f=c;c=null}catch(d){}}if(c==null){c=this.config.elements||[]}if(!(c instanceof Array)){c=[c]}c=[].concat(c);for(var b=0,a=c.length;b<a;b++){if(typeof(c[b])==="string"){c[b]=document.getElementById(c[b])}}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(c.length==0){c.push(document.body)}if(!f){f={}}return{elements:c,callback:f}},elementScripts:function(d){if(d instanceof Array){var b=[];for(var c=0,a=d.length;c<a;c++){b.push.apply(b,this.elementScripts(d[c]))}return b}if(typeof(d)==="string"){d=document.getElementById(d)}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(d==null){d=document.body}if(d.tagName!=null&&d.tagName.toLowerCase()==="script"){return[d]}return d.getElementsByTagName("script")},Insert:function(c,a){for(var b in a){if(a.hasOwnProperty(b)){if(typeof a[b]==="object"&&!(a[b] instanceof Array)&&(typeof c[b]==="object"||typeof c[b]==="function")){this.Insert(c[b],a[b])}else{c[b]=a[b]}}}return c},SplitList:("trim" in String.prototype?function(a){return a.trim().split(/\s+/)}:function(a){return a.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s+/)})};MathJax.Hub.Insert(MathJax.Hub.config.styles,MathJax.Message.styles);MathJax.Hub.Insert(MathJax.Hub.config.styles,{".MathJax_Error":MathJax.Hub.config.errorSettings.style});MathJax.Extension={};MathJax.Hub.Configured=MathJax.Callback({});MathJax.Hub.Startup={script:"",queue:MathJax.Callback.Queue(),signal:MathJax.Callback.Signal("Startup"),params:{},Config:function(){this.queue.Push(["Post",this.signal,"Begin Config"]);if(this.params.locale){MathJax.Localization.resetLocale(this.params.locale);MathJax.Hub.config.menuSettings.locale=this.params.locale}var b=MathJax.HTML.Cookie.Get("user");if(b.URL||b.Config){if(confirm(MathJax.Localization._("CookieConfig","MathJax has found a user-configuration cookie that includes code to be run. Do you want to run it?\n\n(You should press Cancel unless you set up the cookie yourself.)"))){if(b.URL){this.queue.Push(["Require",MathJax.Ajax,b.URL])}if(b.Config){this.queue.Push(new Function(b.Config))}}else{MathJax.HTML.Cookie.Set("user",{})}}if(this.params.config){var d=this.params.config.split(/,/);for(var c=0,a=d.length;c<a;c++){if(!d[c].match(/\.js$/)){d[c]+=".js"}this.queue.Push(["Require",MathJax.Ajax,this.URL("config",d[c])])}}this.queue.Push(["Config",MathJax.Hub,MathJax.AuthorConfig]);if(this.script.match(/\S/)){this.queue.Push(this.script+";\n1;")}this.queue.Push(["ConfigDelay",this],["ConfigBlocks",this],[function(e){return e.loadArray(MathJax.Hub.config.config,"config",null,true)},this],["Post",this.signal,"End Config"])},ConfigDelay:function(){var a=this.params.delayStartupUntil||MathJax.Hub.config.delayStartupUntil;if(a==="onload"){return this.onload}if(a==="configured"){return MathJax.Hub.Configured}return a},ConfigBlocks:function(){var c=document.getElementsByTagName("script");var f=null,b=MathJax.Callback.Queue();for(var d=0,a=c.length;d<a;d++){var e=String(c[d].type).replace(/ /g,"");if(e.match(/^text\/x-mathjax-config(;.*)?$/)&&!e.match(/;executed=true/)){c[d].type+=";executed=true";f=b.Push(c[d].innerHTML+";\n1;")}}return f},Cookie:function(){return this.queue.Push(["Post",this.signal,"Begin Cookie"],["Get",MathJax.HTML.Cookie,"menu",MathJax.Hub.config.menuSettings],[function(d){if(d.menuSettings.locale){MathJax.Localization.resetLocale(d.menuSettings.locale)}var f=d.menuSettings.renderer,b=d.jax;if(f){var c="output/"+f;b.sort();for(var e=0,a=b.length;e<a;e++){if(b[e].substr(0,7)==="output/"){break}}if(e==a-1){b.pop()}else{while(e<a){if(b[e]===c){b.splice(e,1);break}e++}}b.unshift(c)}},MathJax.Hub.config],["Post",this.signal,"End Cookie"])},Styles:function(){return this.queue.Push(["Post",this.signal,"Begin Styles"],["loadArray",this,MathJax.Hub.config.styleSheets,"config"],["Styles",MathJax.Ajax,MathJax.Hub.config.styles],["Post",this.signal,"End Styles"])},Jax:function(){var f=MathJax.Hub.config,c=MathJax.Hub.outputJax;for(var g=0,b=f.jax.length,d=0;g<b;g++){var e=f.jax[g].substr(7);if(f.jax[g].substr(0,7)==="output/"&&c.order[e]==null){c.order[e]=d;d++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,f.jax,"jax","config.js"],["Post",this.signal,"End Jax"])},Extensions:function(){var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Extensions"],["loadArray",this,MathJax.Hub.config.extensions,"extensions"],["Post",this.signal,"End Extensions"])},Message:function(){MathJax.Message.Init(true)},Menu:function(){var b=MathJax.Hub.config.menuSettings,a=MathJax.Hub.outputJax,d;for(var c in a){if(a.hasOwnProperty(c)){if(a[c].length){d=a[c];break}}}if(d&&d.length){if(b.renderer&&b.renderer!==d[0].id){d.unshift(MathJax.OutputJax[b.renderer])}b.renderer=d[0].id}},Hash:function(){if(MathJax.Hub.config.positionToHash&&document.location.hash&&document.body&&document.body.scrollIntoView){var d=document.location.hash.substr(1);var f=document.getElementById(d);if(!f){var c=document.getElementsByTagName("a");for(var e=0,b=c.length;e<b;e++){if(c[e].name===d){f=c[e];break}}}if(f){while(!f.scrollIntoView){f=f.parentNode}f=this.HashCheck(f);if(f&&f.scrollIntoView){setTimeout(function(){f.scrollIntoView(true)},1)}}}},HashCheck:function(b){if(b.isMathJax){var a=MathJax.Hub.getJaxFor(b);if(a&&MathJax.OutputJax[a.outputJax].hashCheck){b=MathJax.OutputJax[a.outputJax].hashCheck(b)}}return b},MenuZoom:function(){if(!MathJax.Extension.MathMenu){setTimeout(function(){MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/MathMenu.js",{}],["loadDomain",MathJax.Localization,"MathMenu"])},1000)}else{setTimeout(MathJax.Callback(["loadDomain",MathJax.Localization,"MathMenu"]),1000)}if(!MathJax.Extension.MathZoom){setTimeout(MathJax.Callback(["Require",MathJax.Ajax,"[MathJax]/extensions/MathZoom.js",{}]),2000)}},onLoad:function(){var a=this.onload=MathJax.Callback(function(){MathJax.Hub.Startup.signal.Post("onLoad")});if(document.body&&document.readyState){if(MathJax.Hub.Browser.isMSIE){if(document.readyState==="complete"){return[a]}}else{if(document.readyState!=="loading"){return[a]}}}if(window.addEventListener){window.addEventListener("load",a,false);if(!this.params.noDOMContentEvent){window.addEventListener("DOMContentLoaded",a,false)}}else{if(window.attachEvent){window.attachEvent("onload",a)}else{window.onload=a}}return a},Typeset:function(a,b){if(MathJax.Hub.config.skipStartupTypeset){return function(){}}return this.queue.Push(["Post",this.signal,"Begin Typeset"],["Typeset",MathJax.Hub,a,b],["Post",this.signal,"End Typeset"])},URL:function(b,a){if(!a.match(/^([a-z]+:\/\/|\[|\/)/)){a="[MathJax]/"+b+"/"+a}return a},loadArray:function(b,f,c,a){if(b){if(!(b instanceof Array)){b=[b]}if(b.length){var h=MathJax.Callback.Queue(),j={},e;for(var g=0,d=b.length;g<d;g++){e=this.URL(f,b[g]);if(c){e+="/"+c}if(a){h.Push(["Require",MathJax.Ajax,e,j])}else{h.Push(MathJax.Ajax.Require(e,j))}}return h.Push({})}}return null}};(function(d){var b=window[d],e="["+d+"]";var c=b.Hub,a=b.Ajax,f=b.Callback;var g=MathJax.Object.Subclass({JAXFILE:"jax.js",require:null,config:{},Init:function(i,h){if(arguments.length===0){return this}return(this.constructor.Subclass(i,h))()},Augment:function(k,j){var i=this.constructor,h={};if(k!=null){for(var l in k){if(k.hasOwnProperty(l)){if(typeof k[l]==="function"){i.protoFunction(l,k[l])}else{h[l]=k[l]}}}if(k.toString!==i.prototype.toString&&k.toString!=={}.toString){i.protoFunction("toString",k.toString)}}c.Insert(i.prototype,h);i.Augment(null,j);return this},Translate:function(h,i){throw Error(this.directory+"/"+this.JAXFILE+" failed to define the Translate() method")},Register:function(h){},Config:function(){this.config=c.CombineConfig(this.id,this.config);if(this.config.Augment){this.Augment(this.config.Augment)}},Startup:function(){},loadComplete:function(i){if(i==="config.js"){return a.loadComplete(this.directory+"/"+i)}else{var h=f.Queue();h.Push(c.Register.StartupHook("End Config",{}),["Post",c.Startup.signal,this.id+" Jax Config"],["Config",this],["Post",c.Startup.signal,this.id+" Jax Require"],[function(j){return MathJax.Hub.Startup.loadArray(j.require,this.directory)},this],[function(j,k){return MathJax.Hub.Startup.loadArray(j.extensions,"extensions/"+k)},this.config||{},this.id],["Post",c.Startup.signal,this.id+" Jax Startup"],["Startup",this],["Post",c.Startup.signal,this.id+" Jax Ready"]);if(this.copyTranslate){h.Push([function(j){j.preProcess=j.preTranslate;j.Process=j.Translate;j.postProcess=j.postTranslate},this.constructor.prototype])}return h.Push(["loadComplete",a,this.directory+"/"+i])}}},{id:"Jax",version:"2.3",directory:e+"/jax",extensionDir:e+"/extensions"});b.InputJax=g.Subclass({elementJax:"mml",sourceMenuTitle:["Original","Original Form"],copyTranslate:true,Process:function(l,q){var j=f.Queue(),o;var k=this.elementJax;if(!(k instanceof Array)){k=[k]}for(var n=0,h=k.length;n<h;n++){o=b.ElementJax.directory+"/"+k[n]+"/"+this.JAXFILE;if(!this.require){this.require=[]}else{if(!(this.require instanceof Array)){this.require=[this.require]}}this.require.push(o);j.Push(a.Require(o))}o=this.directory+"/"+this.JAXFILE;var p=j.Push(a.Require(o));if(!p.called){this.constructor.prototype.Process=function(){if(!p.called){return p}throw Error(o+" failed to load properly")}}k=c.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},needsUpdate:function(h){var i=h.SourceElement();return(h.originalText!==b.HTML.getScript(i))},Register:function(h){if(!c.inputJax){c.inputJax={}}c.inputJax[h]=this}},{id:"InputJax",version:"2.3",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({copyTranslate:true,preProcess:function(j){var i,h=this.directory+"/"+this.JAXFILE;this.constructor.prototype.preProcess=function(k){if(!i.called){return i}throw Error(h+" failed to load properly")};i=a.Require(h);return i},Register:function(i){var h=c.outputJax;if(!h[i]){h[i]=[]}if(h[i].length&&(this.id===c.config.menuSettings.renderer||(h.order[this.id]||0)<(h.order[h[i][0].id]||0))){h[i].unshift(this)}else{h[i].push(this)}if(!this.require){this.require=[]}else{if(!(this.require instanceof Array)){this.require=[this.require]}}this.require.push(b.ElementJax.directory+"/"+(i.split(/\//)[1])+"/"+this.JAXFILE)},Remove:function(h){}},{id:"OutputJax",version:"2.3",directory:g.directory+"/output",extensionDir:g.extensionDir,fontDir:e+(b.isPacked?"":"/..")+"/fonts",imageDir:e+(b.isPacked?"":"/..")+"/images"});b.ElementJax=g.Subclass({Init:function(i,h){return this.constructor.Subclass(i,h)},inputJax:null,outputJax:null,inputID:null,originalText:"",mimeType:"",sourceMenuTitle:["MathMLcode","MathML Code"],Text:function(i,j){var h=this.SourceElement();b.HTML.setScript(h,i);h.MathJax.state=this.STATE.UPDATE;return c.Update(h,j)},Reprocess:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.UPDATE;return c.Reprocess(h,i)},Update:function(h){return this.Rerender(h)},Rerender:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(h){if(this.hover){this.hover.clear(this)}b.OutputJax[this.outputJax].Remove(this);if(!h){c.signal.Post(["Remove Math",this.inputID]);this.Detach()}},needsUpdate:function(){return b.InputJax[this.inputJax].needsUpdate(this)},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=b.HTML.getScript(i);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}return h},Detach:function(){var h=this.SourceElement();if(!h){return}try{delete h.MathJax}catch(i){h.MathJax=null}if(this.newID){h.id=""}},Clone:function(h){var i;for(i in this){if(!this.hasOwnProperty(i)){continue}if(typeof(h[i])==="undefined"&&i!=="newID"){delete this[i]}}for(i in h){if(!h.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{id:"ElementJax",version:"2.3",directory:g.directory+"/element",extensionDir:g.extensionDir,ID:0,STATE:{PENDING:1,PROCESSED:2,UPDATE:3,OUTPUT:4},GetID:function(){this.ID++;return"MathJax-Element-"+this.ID},Subclass:function(){var h=g.Subclass.apply(this,arguments);h.loadComplete=this.prototype.loadComplete;return h}});b.ElementJax.prototype.STATE=b.ElementJax.STATE;b.OutputJax.Error={id:"Error",version:"2.3",config:{},ContextMenu:function(){return b.Extension.MathEvents.Event.ContextMenu.apply(b.Extension.MathEvents.Event,arguments)},Mousedown:function(){return b.Extension.MathEvents.Event.AltContextMenu.apply(b.Extension.MathEvents.Event,arguments)},getJaxFromMath:function(h){return(h.nextSibling.MathJax||{}).error},Jax:function(j,i){var h=MathJax.Hub.inputJax[i.type.replace(/ *;(.|\s)*/,"")];return{inputJax:(h||{id:"Error"}).id,outputJax:"Error",sourceMenuTitle:["ErrorMessage","Error Message"],sourceMenuFormat:"Error",originalText:MathJax.HTML.getScript(i),errorText:j}}};b.InputJax.Error={id:"Error",version:"2.3",config:{},sourceMenuTitle:["Original","Original Form"]}})("MathJax");(function(l){var f=window[l];if(!f){f=window[l]={}}var c=f.Hub;var q=c.Startup;var u=c.config;var e=document.getElementsByTagName("head")[0];if(!e){e=document.childNodes[0]}var b=(document.documentElement||document).getElementsByTagName("script");var d=new RegExp("(^|/)"+l+"\\.js(\\?.*)?$");for(var o=b.length-1;o>=0;o--){if((b[o].src||"").match(d)){q.script=b[o].innerHTML;if(RegExp.$2){var r=RegExp.$2.substr(1).split(/\&/);for(var n=0,h=r.length;n<h;n++){var k=r[n].match(/(.*)=(.*)/);if(k){q.params[unescape(k[1])]=unescape(k[2])}}}u.root=b[o].src.replace(/(^|\/)[^\/]*(\?.*)?$/,"").replace(/^(https?:\/\/(cdn.mathjax.org|c328740.ssl.cf1.rackcdn.com)\/mathjax\/)(latest)/,"$1"+f.version+"-$3");break}}f.Ajax.config=u;var a={isMac:(navigator.platform.substr(0,3)==="Mac"),isPC:(navigator.platform.substr(0,3)==="Win"),isMSIE:(window.ActiveXObject!=null&&window.clipboardData!=null),isFirefox:(navigator.userAgent.match(/Gecko/)!=null&&navigator.userAgent.match(/KHTML/)==null),isSafari:(navigator.userAgent.match(/ (Apple)?WebKit\//)!=null&&(!window.chrome||window.chrome.loadTimes==null)),isChrome:(window.chrome!=null&&window.chrome.loadTimes!=null),isOpera:(window.opera!=null&&window.opera.version!=null),isKonqueror:(window.hasOwnProperty&&window.hasOwnProperty("konqueror")&&navigator.vendor=="KDE"),versionAtLeast:function(x){var w=(this.version).split(".");x=(new String(x)).split(".");for(var y=0,j=x.length;y<j;y++){if(w[y]!=x[y]){return parseInt(w[y]||"0")>=parseInt(x[y])}}return true},Select:function(j){var i=j[c.Browser];if(i){return i(c.Browser)}return null}};var g=navigator.userAgent.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");c.Browser=c.Insert(c.Insert(new String("Unknown"),{version:"0.0"}),a);for(var t in a){if(a.hasOwnProperty(t)){if(a[t]&&t.substr(0,2)==="is"){t=t.slice(2);if(t==="Mac"||t==="PC"){continue}c.Browser=c.Insert(new String(t),a);var p=new RegExp(".*(Version)/((?:\\d+\\.)+\\d+)|.*("+t+")"+(t=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var s=p.exec(g)||["","","","unknown","0.0"];c.Browser.name=(s[1]=="Version"?t:(s[3]||s[5]));c.Browser.version=s[2]||s[4]||s[6];break}}}c.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=534){j.version="5.1"}else{if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}}j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||navigator.userAgent.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=navigator.userAgent.match(/[\/ ]rv:(\d+\.\d.*?)[\) ]/);if(m){j.version=m[1]}else{var i=(navigator.buildID||navigator.productSub||"0").substr(0,8);if(i>="20111220"){j.version="9.0"}else{if(i>="20111120"){j.version="8.0"}else{if(i>="20110927"){j.version="7.0"}else{if(i>="20110816"){j.version="6.0"}else{if(i>="20110621"){j.version="5.0"}else{if(i>="20110320"){j.version="4.0"}else{if(i>="20100121"){j.version="3.6"}else{if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}}}}}}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||navigator.userAgent.match(/ Fennec\//)!=null||navigator.userAgent.match(/Mobile/)!=null)},Opera:function(i){i.version=opera.version()},MSIE:function(j){j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;var v=false;try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=v=true}catch(m){}try{if(v&&!q.params.NoMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(i);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");j.mpNamespace=true;if(document.readyState&&(document.readyState==="loading"||document.readyState==="interactive")){document.write('<?import namespace="m" implementation="#MathPlayer">');j.mpImported=true}}else{document.namespaces.add("mjx_IE_fix","http://www.w3.org/1999/xlink")}}catch(m){}}});c.Browser.Select(MathJax.Message.browsers);if(f.AuthorConfig&&typeof f.AuthorConfig.AuthorInit==="function"){f.AuthorConfig.AuthorInit()}c.queue=f.Callback.Queue();c.queue.Push(["Post",q.signal,"Begin"],["Config",q],["Cookie",q],["Styles",q],["Message",q],function(){var i=f.Callback.Queue(q.Jax(),q.Extensions());return i.Push({})},["Menu",q],q.onLoad(),function(){MathJax.isReady=true},["Typeset",q],["Hash",q],["MenuZoom",q],["Post",q.signal,"End"])})("MathJax")}};
+if(document.getElementById&&document.childNodes&&document.createElement){if(!(window.MathJax&&MathJax.Hub)){if(window.MathJax){window.MathJax={AuthorConfig:window.MathJax}}else{window.MathJax={}}MathJax.isPacked=true;MathJax.version="2.4-beta";MathJax.fileversion="2.4-beta";MathJax.cdnVersion="";MathJax.cdnFileVersions={};(function(d){var b=window[d];if(!b){b=window[d]={}}var e=[];var c=function(f){var g=f.constructor;if(!g){g=function(){}}for(var h in f){if(h!=="constructor"&&f.hasOwnProperty(h)){g[h]=f[h]}}return g};var a=function(){return function(){return arguments.callee.Init.call(this,arguments)}};b.Object=c({constructor:a(),Subclass:function(f,h){var g=a();g.SUPER=this;g.Init=this.Init;g.Subclass=this.Subclass;g.Augment=this.Augment;g.protoFunction=this.protoFunction;g.can=this.can;g.has=this.has;g.isa=this.isa;g.prototype=new this(e);g.prototype.constructor=g;g.Augment(f,h);return g},Init:function(f){var g=this;if(f.length===1&&f[0]===e){return g}if(!(g instanceof f.callee)){g=new f.callee(e)}return g.Init.apply(g,f)||g},Augment:function(f,g){var h;if(f!=null){for(h in f){if(f.hasOwnProperty(h)){this.protoFunction(h,f[h])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){this.protoFunction("toString",f.toString)}}if(g!=null){for(h in g){if(g.hasOwnProperty(h)){this[h]=g[h]}}}return this},protoFunction:function(g,f){this.prototype[g]=f;if(typeof f==="function"){f.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(f){return f.callee.SUPER},can:function(f){return typeof(this[f])==="function"},has:function(f){return typeof(this[f])!=="undefined"},isa:function(f){return(f instanceof Object)&&(this instanceof f)}},can:function(f){return this.prototype.can.call(this,f)},has:function(f){return this.prototype.has.call(this,f)},isa:function(g){var f=this;while(f){if(f===g){return true}else{f=f.SUPER}}return false},SimpleSUPER:c({constructor:function(f){return this.SimpleSUPER.define(f)},define:function(f){var h={};if(f!=null){for(var g in f){if(f.hasOwnProperty(g)){h[g]=this.wrap(g,f[g])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){h.toString=this.wrap("toString",f.toString)}}return h},wrap:function(i,h){if(typeof(h)!=="function"||!h.toString().match(/\.\s*SUPER\s*\(/)){return h}var g=function(){this.SUPER=g.SUPER[i];try{var f=h.apply(this,arguments)}catch(j){delete this.SUPER;throw j}delete this.SUPER;return f};g.toString=function(){return h.toString.apply(h,arguments)};return g}})})})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var CALLBACK=function(data){var cb=function(){return arguments.callee.execute.apply(arguments.callee,arguments)};for(var id in CALLBACK.prototype){if(CALLBACK.prototype.hasOwnProperty(id)){if(typeof(data[id])!=="undefined"){cb[id]=data[id]}else{cb[id]=CALLBACK.prototype[id]}}}cb.toString=CALLBACK.prototype.toString;return cb};CALLBACK.prototype={isCallback:true,hook:function(){},data:[],object:window,execute:function(){if(!this.called||this.autoReset){this.called=!this.autoReset;return this.hook.apply(this.object,this.data.concat([].slice.call(arguments,0)))}},reset:function(){delete this.called},toString:function(){return this.hook.toString.apply(this.hook,arguments)}};var ISCALLBACK=function(f){return(typeof(f)==="function"&&f.isCallback)};var EVAL=function(code){return eval.call(window,code)};var TESTEVAL=function(){EVAL("var __TeSt_VaR__ = 1");if(window.__TeSt_VaR__){try{delete window.__TeSt_VaR__}catch(error){window.__TeSt_VaR__=null}}else{if(window.execScript){EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";window.execScript(code);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}TESTEVAL=null};var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(args instanceof Array&&args.length===1){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return CALLBACK({hook:args})}else{if(args instanceof Array){if(typeof(args[0])==="string"&&args[1] instanceof Object&&typeof args[1][args[0]]==="function"){return CALLBACK({hook:args[1][args[0]],object:args[1],data:args.slice(2)})}else{if(typeof args[0]==="function"){return CALLBACK({hook:args[0],data:args.slice(1)})}else{if(typeof args[1]==="function"){return CALLBACK({hook:args[1],object:args[0],data:args.slice(2)})}}}}else{if(typeof(args)==="string"){if(TESTEVAL){TESTEVAL()}return CALLBACK({hook:EVAL,data:[args]})}else{if(args instanceof Object){return CALLBACK(args)}else{if(typeof(args)==="undefined"){return CALLBACK({})}}}}}throw Error("Can't make callback from given data")};var DELAY=function(time,callback){callback=USING(callback);callback.timeout=setTimeout(callback,time);return callback};var WAITFOR=function(callback,signal){callback=USING(callback);if(!callback.called){WAITSIGNAL(callback,signal);signal.pending++}};var WAITEXECUTE=function(){var signals=this.signal;delete this.signal;this.execute=this.oldExecute;delete this.oldExecute;var result=this.execute.apply(this,arguments);if(ISCALLBACK(result)&&!result.called){WAITSIGNAL(result,signals)}else{for(var i=0,m=signals.length;i<m;i++){signals[i].pending--;if(signals[i].pending<=0){signals[i].call()}}}};var WAITSIGNAL=function(callback,signals){if(!(signals instanceof Array)){signals=[signals]}if(!callback.signal){callback.oldExecute=callback.execute;callback.execute=WAITEXECUTE;callback.signal=signals}else{if(signals.length===1){callback.signal.push(signals[0])}else{callback.signal=callback.signal.concat(signals)}}};var AFTER=function(callback){callback=USING(callback);callback.pending=0;for(var i=1,m=arguments.length;i<m;i++){if(arguments[i]){WAITFOR(arguments[i],callback)}}if(callback.pending===0){var result=callback();if(ISCALLBACK(result)){callback=result}}return callback};var HOOKS=MathJax.Object.Subclass({Init:function(reset){this.hooks=[];this.reset=reset},Add:function(hook,priority){if(priority==null){priority=10}if(!ISCALLBACK(hook)){hook=USING(hook)}hook.priority=priority;var i=this.hooks.length;while(i>0&&priority<this.hooks[i-1].priority){i--}this.hooks.splice(i,0,hook);return hook},Remove:function(hook){for(var i=0,m=this.hooks.length;i<m;i++){if(this.hooks[i]===hook){this.hooks.splice(i,1);return}}},Execute:function(){var callbacks=[{}];for(var i=0,m=this.hooks.length;i<m;i++){if(this.reset){this.hooks[i].reset()}var result=this.hooks[i].apply(window,arguments);if(ISCALLBACK(result)&&!result.called){callbacks.push(result)}}if(callbacks.length===1){return null}if(callbacks.length===2){return callbacks[1]}return AFTER.apply({},callbacks)}});var EXECUTEHOOKS=function(hooks,data,reset){if(!hooks){return null}if(!(hooks instanceof Array)){hooks=[hooks]}if(!(data instanceof Array)){data=(data==null?[]:[data])}var handler=HOOKS(reset);for(var i=0,m=hooks.length;i<m;i++){handler.Add(hooks[i])}return handler.Execute.apply(handler,data)};var QUEUE=BASE.Object.Subclass({Init:function(){this.pending=0;this.running=0;this.queue=[];this.Push.apply(this,arguments)},Push:function(){var callback;for(var i=0,m=arguments.length;i<m;i++){callback=USING(arguments[i]);if(callback===arguments[i]&&!callback.called){callback=USING(["wait",this,callback])}this.queue.push(callback)}if(!this.running&&!this.pending){this.Process()}return callback},Process:function(queue){while(!this.running&&!this.pending&&this.queue.length){var callback=this.queue[0];queue=this.queue.slice(1);this.queue=[];this.Suspend();var result=callback();this.Resume();if(queue.length){this.queue=queue.concat(this.queue)}if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}}},Suspend:function(){this.running++},Resume:function(){if(this.running){this.running--}},call:function(){this.Process.apply(this,arguments)},wait:function(callback){return callback}});var SIGNAL=QUEUE.Subclass({Init:function(name){QUEUE.prototype.Init.call(this);this.name=name;this.posted=[];this.listeners=HOOKS(true)},Post:function(message,callback,forget){callback=USING(callback);if(this.posting||this.pending){this.Push(["Post",this,message,callback,forget])}else{this.callback=callback;callback.reset();if(!forget){this.posted.push(message)}this.Suspend();this.posting=true;var result=this.listeners.Execute(message);if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}this.Resume();delete this.posting;if(!this.pending){this.call()}}return callback},Clear:function(callback){callback=USING(callback);if(this.posting||this.pending){callback=this.Push(["Clear",this,callback])}else{this.posted=[];callback()}return callback},call:function(){this.callback(this);this.Process()},Interest:function(callback,ignorePast,priority){callback=USING(callback);this.listeners.Add(callback,priority);if(!ignorePast){for(var i=0,m=this.posted.length;i<m;i++){callback.reset();var result=callback(this.posted[i]);if(ISCALLBACK(result)&&i===this.posted.length-1){WAITFOR(result,this)}}}return callback},NoInterest:function(callback){this.listeners.Remove(callback)},MessageHook:function(msg,callback,priority){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=HOOKS(true)}this.hooks[msg].Add(callback,priority);for(var i=0,m=this.posted.length;i<m;i++){if(this.posted[i]==msg){callback.reset();callback(this.posted[i])}}return callback},ExecuteHooks:function(msg){var type=((msg instanceof Array)?msg[0]:msg);if(!this.hooks[type]){return null}return this.hooks[type].Execute(msg)}},{signals:{},find:function(name){if(!SIGNAL.signals[name]){SIGNAL.signals[name]=new SIGNAL(name)}return SIGNAL.signals[name]}});BASE.Callback=BASE.CallBack=USING;BASE.Callback.Delay=DELAY;BASE.Callback.After=AFTER;BASE.Callback.Queue=QUEUE;BASE.Callback.Signal=SIGNAL.find;BASE.Callback.Hooks=HOOKS;BASE.Callback.ExecuteHooks=EXECUTEHOOKS})("MathJax");(function(e){var a=window[e];if(!a){a=window[e]={}}var d=(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined");var g=0;var h=function(i){if(document.styleSheets&&document.styleSheets.length>g){g=document.styleSheets.length}if(!i){i=(document.getElementsByTagName("head"))[0];if(!i){i=document.body}}return i};var f=[];var c=function(){for(var k=0,j=f.length;k<j;k++){a.Ajax.head.removeChild(f[k])}f=[]};var b={};b[e]="";a.Ajax={loaded:{},loading:{},loadHooks:{},timeout:15*1000,styleDelay:1,config:{root:"",path:b},STATUS:{OK:1,ERROR:-1},fileURL:function(j){var i=j.match(/^\[([-._a-z0-9]+)\]/i);if(i&&i[1] in b){j=(b[i[1]]||this.config.root)+j.substr(i[1].length+2)}return j},fileName:function(j){var i=this.config.root;if(j.substr(0,i.length)===i){j="["+e+"]"+j.substr(i.length)}else{for(var k in b){if(b.hasOwnProperty(k)&&b[k]){if(j.substr(0,b[k].length)===b[k]){j="["+k+"]"+j.substr(b[k].length);break}}}}return j},fileRev:function(j){var i=a.cdnFileVersions[name]||a.cdnVersion;if(i){i="?rev="+i}return i},urlRev:function(i){return this.fileURL(i)+this.fileRev(i)},Require:function(k,n){n=a.Callback(n);var l;if(k instanceof Object){for(var j in k){if(k.hasOwnProperty(j)){l=j.toUpperCase();k=k[j]}}}else{l=k.split(/\./).pop().toUpperCase()}k=this.fileURL(k);if(this.loaded[k]){n(this.loaded[k])}else{var m={};m[l]=k;this.Load(m,n)}return n},Load:function(k,m){m=a.Callback(m);var l;if(k instanceof Object){for(var j in k){if(k.hasOwnProperty(j)){l=j.toUpperCase();k=k[j]}}}else{l=k.split(/\./).pop().toUpperCase()}k=this.fileURL(k);if(this.loading[k]){this.addHook(k,m)}else{this.head=h(this.head);if(this.loader[l]){this.loader[l].call(this,k,m)}else{throw Error("Can't load files of type "+l)}}return m},LoadHook:function(l,m,k){m=a.Callback(m);if(l instanceof Object){for(var j in l){if(l.hasOwnProperty(j)){l=l[j]}}}l=this.fileURL(l);if(this.loaded[l]){m(this.loaded[l])}else{this.addHook(l,m,k)}return m},addHook:function(j,k,i){if(!this.loadHooks[j]){this.loadHooks[j]=MathJax.Callback.Hooks()}this.loadHooks[j].Add(k,i)},Preloading:function(){for(var l=0,j=arguments.length;l<j;l++){var k=this.fileURL(arguments[l]);if(!this.loading[k]){this.loading[k]={preloaded:true}}}},loader:{JS:function(k,m){var j=this.fileName(k);var i=document.createElement("script");var l=a.Callback(["loadTimeout",this,k]);this.loading[k]={callback:m,timeout:setTimeout(l,this.timeout),status:this.STATUS.OK,script:i};this.loading[k].message=a.Message.File(j);i.onerror=l;i.type="text/javascript";i.src=k+this.fileRev(j);this.head.appendChild(i)},CSS:function(j,l){var i=this.fileName(j);var k=document.createElement("link");k.rel="stylesheet";k.type="text/css";k.href=j+this.fileRev(i);this.loading[j]={callback:l,message:a.Message.File(i),status:this.STATUS.OK};this.head.appendChild(k);this.timer.create.call(this,[this.timer.file,j],k)}},timer:{create:function(j,i){j=a.Callback(j);if(i.nodeName==="STYLE"&&i.styleSheet&&typeof(i.styleSheet.cssText)!=="undefined"){j(this.STATUS.OK)}else{if(window.chrome&&i.nodeName==="LINK"){j(this.STATUS.OK)}else{if(d){this.timer.start(this,[this.timer.checkSafari2,g++,j],this.styleDelay)}else{this.timer.start(this,[this.timer.checkLength,i,j],this.styleDelay)}}}return j},start:function(j,i,k,l){i=a.Callback(i);i.execute=this.execute;i.time=this.time;i.STATUS=j.STATUS;i.timeout=l||j.timeout;i.delay=i.total=k||0;if(k){setTimeout(i,k)}else{i()}},time:function(i){this.total+=this.delay;this.delay=Math.floor(this.delay*1.05+5);if(this.total>=this.timeout){i(this.STATUS.ERROR);return 1}return 0},file:function(j,i){if(i<0){a.Ajax.loadTimeout(j)}else{a.Ajax.loadComplete(j)}},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(i,j,k){if(i.time(k)){return}if(document.styleSheets.length>j&&document.styleSheets[j].cssRules&&document.styleSheets[j].cssRules.length){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},checkLength:function(i,l,n){if(i.time(n)){return}var m=0;var j=(l.sheet||l.styleSheet);try{if((j.cssRules||j.rules||[]).length>0){m=1}}catch(k){if(k.message.match(/protected variable|restricted URI/)){m=1}else{if(k.message.match(/Security error/)){m=1}}}if(m){setTimeout(a.Callback([n,i.STATUS.OK]),0)}else{setTimeout(i,i.delay)}}},loadComplete:function(i){i=this.fileURL(i);var j=this.loading[i];if(j&&!j.preloaded){a.Message.Clear(j.message);clearTimeout(j.timeout);if(j.script){if(f.length===0){setTimeout(c,0)}f.push(j.script)}this.loaded[i]=j.status;delete this.loading[i];this.addHook(i,j.callback)}else{if(j){delete this.loading[i]}this.loaded[i]=this.STATUS.OK;j={status:this.STATUS.OK}}if(!this.loadHooks[i]){return null}return this.loadHooks[i].Execute(j.status)},loadTimeout:function(i){if(this.loading[i].timeout){clearTimeout(this.loading[i].timeout)}this.loading[i].status=this.STATUS.ERROR;this.loadError(i);this.loadComplete(i)},loadError:function(i){a.Message.Set(["LoadFailed","File failed to load: %1",i],null,2000);a.Hub.signal.Post(["file load error",i])},Styles:function(k,l){var i=this.StyleString(k);if(i===""){l=a.Callback(l);l()}else{var j=document.createElement("style");j.type="text/css";this.head=h(this.head);this.head.appendChild(j);if(j.styleSheet&&typeof(j.styleSheet.cssText)!=="undefined"){j.styleSheet.cssText=i}else{j.appendChild(document.createTextNode(i))}l=this.timer.create.call(this,l,j)}return l},StyleString:function(n){if(typeof(n)==="string"){return n}var k="",o,m;for(o in n){if(n.hasOwnProperty(o)){if(typeof n[o]==="string"){k+=o+" {"+n[o]+"}\n"}else{if(n[o] instanceof Array){for(var l=0;l<n[o].length;l++){m={};m[o]=n[o][l];k+=this.StyleString(m)}}else{if(o.substr(0,6)==="@media"){k+=o+" {"+this.StyleString(n[o])+"}\n"}else{if(n[o]!=null){m=[];for(var j in n[o]){if(n[o].hasOwnProperty(j)){if(n[o][j]!=null){m[m.length]=j+": "+n[o][j]}}}k+=o+" {"+m.join("; ")+"}\n"}}}}}}return k}}})("MathJax");MathJax.HTML={Element:function(c,e,d){var f=document.createElement(c);if(e){if(e.style){var b=e.style;e.style={};for(var g in b){if(b.hasOwnProperty(g)){e.style[g.replace(/-([a-z])/g,this.ucMatch)]=b[g]}}}MathJax.Hub.Insert(f,e)}if(d){if(!(d instanceof Array)){d=[d]}for(var a=0;a<d.length;a++){if(d[a] instanceof Array){f.appendChild(this.Element(d[a][0],d[a][1],d[a][2]))}else{if(c==="script"){this.setScript(f,d[a])}else{f.appendChild(document.createTextNode(d[a]))}}}}return f},ucMatch:function(a,b){return b.toUpperCase()},addElement:function(b,a,d,c){return b.appendChild(this.Element(a,d,c))},TextNode:function(a){return document.createTextNode(a)},addText:function(a,b){return a.appendChild(this.TextNode(b))},setScript:function(a,b){if(this.setScriptBug){a.text=b}else{while(a.firstChild){a.removeChild(a.firstChild)}this.addText(a,b)}},getScript:function(a){var b=(a.text===""?a.innerHTML:a.text);return b.replace(/^\s+/,"").replace(/\s+$/,"")},Cookie:{prefix:"mjx",expires:365,Set:function(a,e){var d=[];if(e){for(var g in e){if(e.hasOwnProperty(g)){d.push(g+":"+e[g].toString().replace(/&/g,"&&"))}}}var b=this.prefix+"."+a+"="+escape(d.join("&;"));if(this.expires){var f=new Date();f.setDate(f.getDate()+this.expires);b+="; expires="+f.toGMTString()}try{document.cookie=b+"; path=/"}catch(c){}},Get:function(c,h){if(!h){h={}}var g=new RegExp("(?:^|;\\s*)"+this.prefix+"\\."+c+"=([^;]*)(?:;|$)");var b=g.exec(document.cookie);if(b&&b[1]!==""){var e=unescape(b[1]).split("&;");for(var d=0,a=e.length;d<a;d++){b=e[d].match(/([^:]+):(.*)/);var f=b[2].replace(/&&/g,"&");if(f==="true"){f=true}else{if(f==="false"){f=false}else{if(f.match(/^-?(\d+(\.\d+)?|\.\d+)$/)){f=parseFloat(f)}}}h[b[1]]=f}}return h}}};MathJax.Localization={locale:"en",directory:"[MathJax]/localization",strings:{ast:{menuTitle:"asturianu"},br:{menuTitle:"brezhoneg"},ca:{menuTitle:"catal\u00E0"},cdo:{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304"},cs:{menuTitle:"\u010De\u0161tina"},da:{menuTitle:"dansk"},de:{menuTitle:"Deutsch"},en:{menuTitle:"English",isLoaded:true},eo:{menuTitle:"Esperanto"},es:{menuTitle:"espa\u00F1ol"},fa:{menuTitle:"\u0641\u0627\u0631\u0633\u06CC"},fi:{menuTitle:"suomi"},fr:{menuTitle:"fran\u00E7ais"},gl:{menuTitle:"galego"},he:{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA"},ia:{menuTitle:"interlingua"},it:{menuTitle:"italiano"},ja:{menuTitle:"\u65E5\u672C\u8A9E"},kn:{menuTitle:"\u0C95\u0CA8\u0CCD\u0CA8\u0CA1"},ko:{menuTitle:"\uD55C\uAD6D\uC5B4"},lb:{menuTitle:"L\u00EBtzebuergesch"},mk:{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438"},nl:{menuTitle:"Nederlands"},oc:{menuTitle:"occitan"},pl:{menuTitle:"polski"},pt:{menuTitle:"portugus\u00EA"},"pt-br":{menuTitle:"portugu\u00EAs do Brasil"},ru:{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439"},sl:{menuTitle:"sloven\u0161\u010Dina"},sv:{menuTitle:"svenska"},tr:{menuTitle:"T\u00FCrk\u00E7e"},uk:{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430"},vi:{menuTitle:"Ti\u1EBFng Vi\u1EC7t"},"zh-hans":{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09"}},pattern:/%(\d+|\{\d+\}|\{[a-z]+:\%\d+(?:\|(?:%\{\d+\}|%.|[^\}])*)+\}|.)/g,SPLIT:("axb".split(/(x)/).length===3?function(a,b){return a.split(b)}:function(c,e){var a=[],b,d=0;e.lastIndex=0;while(b=e.exec(c)){a.push(c.substr(d,b.index-d));a.push.apply(a,b.slice(1));d=b.index+b[0].length}a.push(c.substr(d));return a}),_:function(b,a){if(a instanceof Array){return this.processSnippet(b,a)}return this.processString(this.lookupPhrase(b,a),[].slice.call(arguments,2))},processString:function(l,o,g){var j,e;for(j=0,e=o.length;j<e;j++){if(g&&o[j] instanceof Array){o[j]=this.processSnippet(g,o[j])}}var f=this.SPLIT(l,this.pattern);for(j=1,e=f.length;j<e;j+=2){var p=f[j].charAt(0);if(p>="0"&&p<="9"){f[j]=o[f[j]-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{if(p==="{"){p=f[j].substr(1);if(p>="0"&&p<="9"){f[j]=o[f[j].substr(1,f[j].length-2)-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{var k=f[j].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(k){if(k[1]==="plural"){var d=o[k[2]-1];if(typeof d==="undefined"){f[j]="???"}else{d=this.plural(d)-1;var h=k[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uEFEF").split(/\|/);if(d>=0&&d<h.length){f[j]=this.processString(h[d].replace(/\uEFEF/g,"|"),o,g)}else{f[j]="???"}}}else{f[j]="%"+f[j]}}}}}if(f[j]==null){f[j]="???"}}if(!g){return f.join("")}var a=[],b="";for(j=0;j<e;j++){b+=f[j];j++;if(j<e){if(f[j] instanceof Array){a.push(b);a=a.concat(f[j]);b=""}else{b+=f[j]}}}if(b!==""){a.push(b)}return a},processSnippet:function(g,e){var c=[];for(var d=0,b=e.length;d<b;d++){if(e[d] instanceof Array){var f=e[d];if(typeof f[1]==="string"){var h=f[0];if(!(h instanceof Array)){h=[g,h]}var a=this.lookupPhrase(h,f[1]);c=c.concat(this.processMarkdown(a,f.slice(2),g))}else{if(f[1] instanceof Array){c=c.concat(this.processSnippet.apply(this,f))}else{if(f.length>=3){c.push([f[0],f[1],this.processSnippet(g,f[2])])}else{c.push(e[d])}}}}else{c.push(e[d])}}return c},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(b,h,d){var j=[],e;var c=b.split(this.markdownPattern);var g=c[0];for(var f=1,a=c.length;f<a;f+=8){if(c[f+1]){e=this.processString(c[f+2],h,d);if(!(e instanceof Array)){e=[e]}e=[["b","i","i"][c[f+1].length-1],{},e];if(c[f+1].length===3){e=["b",{},e]}}else{if(c[f+3]){e=this.processString(c[f+4].replace(/^\s/,"").replace(/\s$/,""),h,d);if(!(e instanceof Array)){e=[e]}e=["code",{},e]}else{if(c[f+5]){e=this.processString(c[f+5],h,d);if(!(e instanceof Array)){e=[e]}e=["a",{href:this.processString(c[f+6],h),target:"_blank"},e]}else{g+=c[f];e=null}}}if(e){j=this.concatString(j,g,h,d);j.push(e);g=""}if(c[f+7]!==""){g+=c[f+7]}}j=this.concatString(j,g,h,d);return j},concatString:function(a,c,b,d){if(c!=""){c=this.processString(c,b,d);if(!(c instanceof Array)){c=[c]}a=a.concat(c)}return a},lookupPhrase:function(f,a,d){if(!d){d="_"}if(f instanceof Array){d=(f[0]||"_");f=(f[1]||"")}var c=this.loadDomain(d);if(c){MathJax.Hub.RestartAfter(c)}var b=this.strings[this.locale];if(b){if(b.domains&&d in b.domains){var e=b.domains[d];if(e.strings&&f in e.strings){a=e.strings[f]}}}return a},loadFile:function(b,d,e){e=MathJax.Callback(e);b=(d.file||b);if(!b.match(/\.js$/)){b+=".js"}if(!b.match(/^([a-z]+:|\[MathJax\])/)){var a=(this.strings[this.locale].directory||this.directory+"/"+this.locale||"[MathJax]/localization/"+this.locale);b=a+"/"+b}var c=MathJax.Ajax.Require(b,function(){d.isLoaded=true;return e()});return(c.called?null:c)},loadDomain:function(c,e){var b,a=this.strings[this.locale];if(a){if(!a.isLoaded){b=this.loadFile(this.locale,a);if(b){return MathJax.Callback.Queue(b,["loadDomain",this,c]).Push(e||{})}}if(a.domains&&c in a.domains){var d=a.domains[c];if(!d.isLoaded){b=this.loadFile(c,d);if(b){return MathJax.Callback.Queue(b).Push(e)}}}}return MathJax.Callback(e)()},Try:function(a){a=MathJax.Callback(a);a.autoReset=true;try{a()}catch(b){if(!b.restart){throw b}MathJax.Callback.After(["Try",this,a],b.restart)}},resetLocale:function(a){if(!a){return}a=a.toLowerCase();while(!this.strings[a]){var c=a.lastIndexOf("-");if(c===-1){return}a=a.substring(0,c)}var b=this.strings[a].remap;this.locale=b?b:a},setLocale:function(a){this.resetLocale(a);if(MathJax.Menu){this.loadDomain("MathMenu")}},addTranslation:function(b,e,c){var d=this.strings[b],a=false;if(!d){d=this.strings[b]={};a=true}if(!d.domains){d.domains={}}if(e){if(!d.domains[e]){d.domains[e]={}}d=d.domains[e]}MathJax.Hub.Insert(d,c);if(a&&MathJax.Menu.menu){MathJax.Menu.CreateLocaleMenu()}},setCSS:function(b){var a=this.strings[this.locale];if(a){if(a.fontFamily){b.style.fontFamily=a.fontFamily}if(a.fontDirection){b.style.direction=a.fontDirection;if(a.fontDirection==="rtl"){b.style.textAlign="right"}}}return b},fontFamily:function(){var a=this.strings[this.locale];return(a?a.fontFamily:null)},fontDirection:function(){var a=this.strings[this.locale];return(a?a.fontDirection:null)},plural:function(b){var a=this.strings[this.locale];if(a&&a.plural){return a.plural(b)}if(b==1){return 1}return 2},number:function(b){var a=this.strings[this.locale];if(a&&a.number){return a.number(b)}return b}};MathJax.Message={ready:false,log:[{}],current:null,textNodeBug:(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined")||(window.hasOwnProperty&&window.hasOwnProperty("konqueror")),styles:{"#MathJax_Message":{position:"fixed",left:"1px",bottom:"2px","background-color":"#E6E6E6",border:"1px solid #959595",margin:"0px",padding:"2px 8px","z-index":"102",color:"black","font-size":"80%",width:"auto","white-space":"nowrap"},"#MathJax_MSIE_Frame":{position:"absolute",top:0,left:0,width:"0px","z-index":101,border:"0px",margin:"0px",padding:"0px"}},browsers:{MSIE:function(a){MathJax.Message.msieFixedPositionBug=((document.documentMode||0)<7);if(MathJax.Message.msieFixedPositionBug){MathJax.Hub.config.styles["#MathJax_Message"].position="absolute"}MathJax.Message.quirks=(document.compatMode==="BackCompat")},Chrome:function(a){MathJax.Hub.config.styles["#MathJax_Message"].bottom="1.5em";MathJax.Hub.config.styles["#MathJax_Message"].left="1em"}},Init:function(a){if(a){this.ready=true}if(!document.body||!this.ready){return false}if(this.div&&this.div.parentNode==null){this.div=document.getElementById("MathJax_Message");if(this.div){this.text=this.div.firstChild}}if(!this.div){var b=document.body;if(this.msieFixedPositionBug&&window.attachEvent){b=this.frame=this.addDiv(document.body);b.removeAttribute("id");b.style.position="absolute";b.style.border=b.style.margin=b.style.padding="0px";b.style.zIndex="101";b.style.height="0px";b=this.addDiv(b);b.id="MathJax_MSIE_Frame";window.attachEvent("onscroll",this.MoveFrame);window.attachEvent("onresize",this.MoveFrame);this.MoveFrame()}this.div=this.addDiv(b);this.div.style.display="none";this.text=this.div.appendChild(document.createTextNode(""))}return true},addDiv:function(a){var b=document.createElement("div");b.id="MathJax_Message";if(a.firstChild){a.insertBefore(b,a.firstChild)}else{a.appendChild(b)}return b},MoveFrame:function(){var a=(MathJax.Message.quirks?document.body:document.documentElement);var b=MathJax.Message.frame;b.style.left=a.scrollLeft+"px";b.style.top=a.scrollTop+"px";b.style.width=a.clientWidth+"px";b=b.firstChild;b.style.height=a.clientHeight+"px"},localize:function(a){return MathJax.Localization._(a,a)},filterText:function(a,c,b){if(MathJax.Hub.config.messageStyle==="simple"){if(b==="LoadFile"){if(!this.loading){this.loading=this.localize("Loading")+" "}a=this.loading;this.loading+="."}else{if(b==="ProcessMath"){if(!this.processing){this.processing=this.localize("Processing")+" "}a=this.processing;this.processing+="."}else{if(b==="TypesetMath"){if(!this.typesetting){this.typesetting=this.localize("Typesetting")+" "}a=this.typesetting;this.typesetting+="."}}}}return a},Set:function(c,e,b){if(e==null){e=this.log.length;this.log[e]={}}var d="";if(c instanceof Array){d=c[0];if(d instanceof Array){d=d[1]}try{c=MathJax.Localization._.apply(MathJax.Localization,c)}catch(a){if(!a.restart){throw a}if(!a.restart.called){if(this.log[e].restarted==null){this.log[e].restarted=0}this.log[e].restarted++;delete this.log[e].cleared;MathJax.Callback.After(["Set",this,c,e,b],a.restart);return e}}}if(this.timer){clearTimeout(this.timer);delete this.timer}this.log[e].text=c;this.log[e].filteredText=c=this.filterText(c,e,d);if(typeof(this.log[e].next)==="undefined"){this.log[e].next=this.current;if(this.current!=null){this.log[this.current].prev=e}this.current=e}if(this.current===e&&MathJax.Hub.config.messageStyle!=="none"){if(this.Init()){if(this.textNodeBug){this.div.innerHTML=c}else{this.text.nodeValue=c}this.div.style.display="";if(this.status){window.status="";delete this.status}}else{window.status=c;this.status=true}}if(this.log[e].restarted){if(this.log[e].cleared){b=0}if(--this.log[e].restarted===0){delete this.log[e].cleared}}if(b){setTimeout(MathJax.Callback(["Clear",this,e]),b)}else{if(b==0){this.Clear(e,0)}}return e},Clear:function(b,a){if(this.log[b].prev!=null){this.log[this.log[b].prev].next=this.log[b].next}if(this.log[b].next!=null){this.log[this.log[b].next].prev=this.log[b].prev}if(this.current===b){this.current=this.log[b].next;if(this.text){if(this.div.parentNode==null){this.Init()}if(this.current==null){if(this.timer){clearTimeout(this.timer);delete this.timer}if(a==null){a=600}if(a===0){this.Remove()}else{this.timer=setTimeout(MathJax.Callback(["Remove",this]),a)}}else{if(MathJax.Hub.config.messageStyle!=="none"){if(this.textNodeBug){this.div.innerHTML=this.log[this.current].filteredText}else{this.text.nodeValue=this.log[this.current].filteredText}}}if(this.status){window.status="";delete this.status}}else{if(this.status){window.status=(this.current==null?"":this.log[this.current].text)}}}delete this.log[b].next;delete this.log[b].prev;delete this.log[b].filteredText;if(this.log[b].restarted){this.log[b].cleared=true}},Remove:function(){this.text.nodeValue="";this.div.style.display="none"},File:function(a){return this.Set(["LoadFile","Loading %1",a],null,null)},Log:function(){var b=[];for(var c=1,a=this.log.length;c<a;c++){b[c]=this.log[c].text}return b.join("\n")}};MathJax.Hub={config:{root:"",config:[],styleSheets:[],styles:{".MathJax_Preview":{color:"#888"}},jax:[],extensions:[],preJax:null,postJax:null,displayAlign:"center",displayIndent:"0",preRemoveClass:"MathJax_Preview",showProcessingMessages:true,messageStyle:"normal",delayStartupUntil:"none",skipStartupTypeset:false,elements:[],positionToHash:true,showMathMenu:true,showMathMenuMSIE:true,menuSettings:{zoom:"None",CTRL:false,ALT:false,CMD:false,Shift:false,discoverable:false,zscale:"200%",renderer:"",font:"Auto",context:"MathJax",locale:"en",mpContext:false,mpMouse:false,texHints:true},errorSettings:{message:["[",["MathProcessingError","Math Processing Error"],"]"],style:{color:"#CC0000","font-style":"italic"}}},preProcessors:MathJax.Callback.Hooks(true),inputJax:{},outputJax:{order:{}},processUpdateTime:250,processUpdateDelay:10,signal:MathJax.Callback.Signal("Hub"),Config:function(a){this.Insert(this.config,a);if(this.config.Augment){this.Augment(this.config.Augment)}},CombineConfig:function(c,f){var b=this.config,g,e;c=c.split(/\./);for(var d=0,a=c.length;d<a;d++){g=c[d];if(!b[g]){b[g]={}}e=b;b=b[g]}e[g]=b=this.Insert(f,b);return b},Register:{PreProcessor:function(){MathJax.Hub.preProcessors.Add.apply(MathJax.Hub.preProcessors,arguments)},MessageHook:function(){return MathJax.Hub.signal.MessageHook.apply(MathJax.Hub.signal,arguments)},StartupHook:function(){return MathJax.Hub.Startup.signal.MessageHook.apply(MathJax.Hub.Startup.signal,arguments)},LoadHook:function(){return MathJax.Ajax.LoadHook.apply(MathJax.Ajax,arguments)}},getAllJax:function(e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax){c.push(b[d].MathJax.elementJax)}}return c},getJaxByType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].MathJax.elementJax.mimeType===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxByInputType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].type&&b[d].type.replace(/ *;(.|\s)*/,"")===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxFor:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a&&a.MathJax){return a.MathJax.elementJax}if(a&&a.isMathJax){while(a&&!a.jaxID){a=a.parentNode}if(a){return MathJax.OutputJax[a.jaxID].getJaxFromMath(a)}}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a&&a.isMathJax){return 1}if(a&&a.tagName!=null&&a.tagName.toLowerCase()==="script"){if(a.MathJax){return(a.MathJax.state===MathJax.ElementJax.STATE.PROCESSED?1:-1)}if(a.type&&this.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},setRenderer:function(d,c){if(!d){return}if(!MathJax.OutputJax[d]){this.config.menuSettings.renderer="";var b="[MathJax]/jax/output/"+d+"/config.js";return MathJax.Ajax.Require(b,["setRenderer",this,d,c])}else{this.config.menuSettings.renderer=d;if(c==null){c="jax/mml"}var a=this.outputJax;if(a[c]&&a[c].length){if(d!==a[c][0].id){a[c].unshift(MathJax.OutputJax[d]);return this.signal.Post(["Renderer Selected",d])}}return null}},Queue:function(){return this.queue.Push.apply(this.queue,arguments)},Typeset:function(e,f){if(!MathJax.isReady){return null}var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["PreProcess",this,c.elements[d]],["Process",this,c.elements[d]])}}return b.Push(c.callback)},PreProcess:function(e,f){var c=this.elementCallback(e,f);var b=MathJax.Callback.Queue();for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){b.Push(["Post",this.signal,["Begin PreProcess",c.elements[d]]],(arguments.callee.disabled?{}:["Execute",this.preProcessors,c.elements[d]]),["Post",this.signal,["End PreProcess",c.elements[d]]])}}return b.Push(c.callback)},Process:function(a,b){return this.takeAction("Process",a,b)},Update:function(a,b){return this.takeAction("Update",a,b)},Reprocess:function(a,b){return this.takeAction("Reprocess",a,b)},Rerender:function(a,b){return this.takeAction("Rerender",a,b)},takeAction:function(g,e,h){var c=this.elementCallback(e,h);var b=MathJax.Callback.Queue(["Clear",this.signal]);for(var d=0,a=c.elements.length;d<a;d++){if(c.elements[d]){var f={scripts:[],start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]};b.Push(["Post",this.signal,["Begin "+g,c.elements[d]]],["Post",this.signal,["Begin Math",c.elements[d],g]],["prepareScripts",this,g,c.elements[d],f],["Post",this.signal,["Begin Math Input",c.elements[d],g]],["processInput",this,f],["Post",this.signal,["End Math Input",c.elements[d],g]],["prepareOutput",this,f,"preProcess"],["Post",this.signal,["Begin Math Output",c.elements[d],g]],["processOutput",this,f],["Post",this.signal,["End Math Output",c.elements[d],g]],["prepareOutput",this,f,"postProcess"],["Post",this.signal,["End Math",c.elements[d],g]],["Post",this.signal,["End "+g,c.elements[d]]])}}return b.Push(c.callback)},scriptAction:{Process:function(a){},Update:function(b){var a=b.MathJax.elementJax;if(a&&a.needsUpdate()){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}else{b.MathJax.state=a.STATE.PROCESSED}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}},Rerender:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.OUTPUT}}},prepareScripts:function(h,e,g){if(arguments.callee.disabled){return}var b=this.elementScripts(e);var f=MathJax.ElementJax.STATE;for(var d=0,a=b.length;d<a;d++){var c=b[d];if(c.type&&this.inputJax[c.type.replace(/ *;(.|\n)*/,"")]){if(c.MathJax){if(c.MathJax.elementJax&&c.MathJax.elementJax.hover){MathJax.Extension.MathEvents.Hover.ClearHover(c.MathJax.elementJax)}if(c.MathJax.state!==f.PENDING){this.scriptAction[h](c)}}if(!c.MathJax){c.MathJax={state:f.PENDING}}if(c.MathJax.state!==f.PROCESSED){g.scripts.push(c)}}}},checkScriptSiblings:function(a){if(a.MathJax.checked){return}var b=this.config,f=a.previousSibling;if(f&&f.nodeName==="#text"){var d,e,c=a.nextSibling;if(c&&c.nodeName!=="#text"){c=null}if(b.preJax){if(typeof(b.preJax)==="string"){b.preJax=new RegExp(b.preJax+"$")}d=f.nodeValue.match(b.preJax)}if(b.postJax&&c){if(typeof(b.postJax)==="string"){b.postJax=new RegExp("^"+b.postJax)}e=c.nodeValue.match(b.postJax)}if(d&&(!b.postJax||e)){f.nodeValue=f.nodeValue.replace(b.preJax,(d.length>1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var h,e,d=a.scripts.length;try{while(a.i<d){h=a.scripts[a.i];if(!h){a.i++;continue}e=h.previousSibling;if(e&&e.className==="MathJax_Error"){e.parentNode.removeChild(e)}if(!h.MathJax||h.MathJax.state===i.PROCESSED){a.i++;continue}if(!h.MathJax.elementJax||h.MathJax.state===i.UPDATE){this.checkScriptSiblings(h);var g=h.type.replace(/ *;(.|\s)*/,"");b=this.inputJax[g].Process(h,a);if(typeof b==="function"){if(b.called){continue}this.RestartAfter(b)}b.Attach(h,this.inputJax[g].id);this.saveScript(b,a,h,i)}else{if(h.MathJax.state===i.OUTPUT){this.saveScript(h.MathJax.elementJax,a,h,i)}}a.i++;var c=new Date().getTime();if(c-a.start>this.processUpdateTime&&a.i<a.scripts.length){a.start=c;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(f){return this.processError(f,a,"Input")}if(a.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["ProcessMath","Processing math: %1%%",100],0)}a.start=new Date().getTime();a.i=a.j=0;return null},saveScript:function(a,d,b,c){if(!this.outputJax[a.mimeType]){b.MathJax.state=c.UPDATE;throw Error("No output jax registered for "+a.mimeType)}a.outputJax=this.outputJax[a.mimeType][0].id;if(!d.jax[a.outputJax]){if(d.jaxIDs.length===0){d.jax[a.outputJax]=d.scripts}else{if(d.jaxIDs.length===1){d.jax[d.jaxIDs[0]]=d.scripts.slice(0,d.i)}d.jax[a.outputJax]=[]}d.jaxIDs.push(a.outputJax)}if(d.jaxIDs.length>1){d.jax[a.outputJax].push(b)}b.MathJax.state=c.OUTPUT},prepareOutput:function(c,f){while(c.j<c.jaxIDs.length){var e=c.jaxIDs[c.j],d=MathJax.OutputJax[e];if(d[f]){try{var a=d[f](c);if(typeof a==="function"){if(a.called){continue}this.RestartAfter(a)}}catch(b){if(!b.restart){MathJax.Message.Set(["PrepError","Error preparing %1 output (%2)",e,f],null,600);MathJax.Hub.lastPrepError=b;c.j++}return MathJax.Callback.After(["prepareOutput",this,c,f],b.restart)}}c.j++}return null},processOutput:function(h){var b,g=MathJax.ElementJax.STATE,d,a=h.scripts.length;try{while(h.i<a){d=h.scripts[h.i];if(!d||!d.MathJax||d.MathJax.error){h.i++;continue}var c=d.MathJax.elementJax;if(!c){h.i++;continue}b=MathJax.OutputJax[c.outputJax].Process(d,h);d.MathJax.state=g.PROCESSED;h.i++;if(d.MathJax.preview){d.MathJax.preview.innerHTML=""}this.signal.Post(["New Math",c.inputID]);var e=new Date().getTime();if(e-h.start>this.processUpdateTime&&h.i<h.scripts.length){h.start=e;this.RestartAfter(MathJax.Callback.Delay(this.processUpdateDelay))}}}catch(f){return this.processError(f,h,"Output")}if(h.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["TypesetMath","Typesetting math: %1%%",100],0);MathJax.Message.Clear(0)}h.i=h.j=0;return null},processMessage:function(d,b){var a=Math.floor(d.i/(d.scripts.length)*100);var c=(b==="Output"?["TypesetMath","Typesetting math: %1%%"]:["ProcessMath","Processing math: %1%%"]);if(this.config.showProcessingMessages){MathJax.Message.Set(c.concat(a),0)}},processError:function(b,c,a){if(!b.restart){if(!this.config.errorSettings.message){throw b}this.formatError(c.scripts[c.i],b);c.i++}this.processMessage(c,a);return MathJax.Callback.After(["process"+a,this,c],b.restart)},formatError:function(b,e){var d="Error: "+e.message+"\n";if(e.sourceURL){d+="\nfile: "+e.sourceURL}if(e.line){d+="\nline: "+e.line}b.MathJax.error=MathJax.OutputJax.Error.Jax(d,b);var f=this.config.errorSettings;var a=MathJax.Localization._(f.messageId,f.message);var c=MathJax.HTML.Element("span",{className:"MathJax_Error",jaxID:"Error",isMathJax:true},a);if(MathJax.Extension.MathEvents){c.oncontextmenu=MathJax.Extension.MathEvents.Event.Menu;c.onmousedown=MathJax.Extension.MathEvents.Event.Mousedown}else{MathJax.Ajax.Require("[MathJax]/extensions/MathEvents.js",function(){c.oncontextmenu=MathJax.Extension.MathEvents.Event.Menu;c.onmousedown=MathJax.Extension.MathEvents.Event.Mousedown})}b.parentNode.insertBefore(c,b);if(b.MathJax.preview){b.MathJax.preview.innerHTML=""}this.lastError=e;this.signal.Post(["Math Processing Error",b,e])},RestartAfter:function(a){throw this.Insert(Error("restart"),{restart:MathJax.Callback(a)})},elementCallback:function(c,f){if(f==null&&(c instanceof Array||typeof c==="function")){try{MathJax.Callback(c);f=c;c=null}catch(d){}}if(c==null){c=this.config.elements||[]}if(!(c instanceof Array)){c=[c]}c=[].concat(c);for(var b=0,a=c.length;b<a;b++){if(typeof(c[b])==="string"){c[b]=document.getElementById(c[b])}}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(c.length==0){c.push(document.body)}if(!f){f={}}return{elements:c,callback:f}},elementScripts:function(d){if(d instanceof Array){var b=[];for(var c=0,a=d.length;c<a;c++){b.push.apply(b,this.elementScripts(d[c]))}return b}if(typeof(d)==="string"){d=document.getElementById(d)}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(d==null){d=document.body}if(d.tagName!=null&&d.tagName.toLowerCase()==="script"){return[d]}return d.getElementsByTagName("script")},Insert:function(c,a){for(var b in a){if(a.hasOwnProperty(b)){if(typeof a[b]==="object"&&!(a[b] instanceof Array)&&(typeof c[b]==="object"||typeof c[b]==="function")){this.Insert(c[b],a[b])}else{c[b]=a[b]}}}return c},SplitList:("trim" in String.prototype?function(a){return a.trim().split(/\s+/)}:function(a){return a.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s+/)})};MathJax.Hub.Insert(MathJax.Hub.config.styles,MathJax.Message.styles);MathJax.Hub.Insert(MathJax.Hub.config.styles,{".MathJax_Error":MathJax.Hub.config.errorSettings.style});MathJax.Extension={};MathJax.Hub.Configured=MathJax.Callback({});MathJax.Hub.Startup={script:"",queue:MathJax.Callback.Queue(),signal:MathJax.Callback.Signal("Startup"),params:{},Config:function(){this.queue.Push(["Post",this.signal,"Begin Config"]);if(this.params.locale){MathJax.Localization.resetLocale(this.params.locale);MathJax.Hub.config.menuSettings.locale=this.params.locale}if(this.params.config){var c=this.params.config.split(/,/);for(var b=0,a=c.length;b<a;b++){if(!c[b].match(/\.js$/)){c[b]+=".js"}this.queue.Push(["Require",MathJax.Ajax,this.URL("config",c[b])])}}this.queue.Push(["Config",MathJax.Hub,MathJax.AuthorConfig]);if(this.script.match(/\S/)){this.queue.Push(this.script+";\n1;")}this.queue.Push(["ConfigDelay",this],["ConfigBlocks",this],[function(d){return d.loadArray(MathJax.Hub.config.config,"config",null,true)},this],["Post",this.signal,"End Config"])},ConfigDelay:function(){var a=this.params.delayStartupUntil||MathJax.Hub.config.delayStartupUntil;if(a==="onload"){return this.onload}if(a==="configured"){return MathJax.Hub.Configured}return a},ConfigBlocks:function(){var c=document.getElementsByTagName("script");var f=null,b=MathJax.Callback.Queue();for(var d=0,a=c.length;d<a;d++){var e=String(c[d].type).replace(/ /g,"");if(e.match(/^text\/x-mathjax-config(;.*)?$/)&&!e.match(/;executed=true/)){c[d].type+=";executed=true";f=b.Push(c[d].innerHTML+";\n1;")}}return f},Cookie:function(){return this.queue.Push(["Post",this.signal,"Begin Cookie"],["Get",MathJax.HTML.Cookie,"menu",MathJax.Hub.config.menuSettings],[function(d){if(d.menuSettings.locale){MathJax.Localization.resetLocale(d.menuSettings.locale)}var f=d.menuSettings.renderer,b=d.jax;if(f){var c="output/"+f;b.sort();for(var e=0,a=b.length;e<a;e++){if(b[e].substr(0,7)==="output/"){break}}if(e==a-1){b.pop()}else{while(e<a){if(b[e]===c){b.splice(e,1);break}e++}}b.unshift(c)}},MathJax.Hub.config],["Post",this.signal,"End Cookie"])},Styles:function(){return this.queue.Push(["Post",this.signal,"Begin Styles"],["loadArray",this,MathJax.Hub.config.styleSheets,"config"],["Styles",MathJax.Ajax,MathJax.Hub.config.styles],["Post",this.signal,"End Styles"])},Jax:function(){var f=MathJax.Hub.config,c=MathJax.Hub.outputJax;for(var g=0,b=f.jax.length,d=0;g<b;g++){var e=f.jax[g].substr(7);if(f.jax[g].substr(0,7)==="output/"&&c.order[e]==null){c.order[e]=d;d++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,f.jax,"jax","config.js"],["Post",this.signal,"End Jax"])},Extensions:function(){var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Extensions"],["loadArray",this,MathJax.Hub.config.extensions,"extensions"],["Post",this.signal,"End Extensions"])},Message:function(){MathJax.Message.Init(true)},Menu:function(){var b=MathJax.Hub.config.menuSettings,a=MathJax.Hub.outputJax,d;for(var c in a){if(a.hasOwnProperty(c)){if(a[c].length){d=a[c];break}}}if(d&&d.length){if(b.renderer&&b.renderer!==d[0].id){d.unshift(MathJax.OutputJax[b.renderer])}b.renderer=d[0].id}},Hash:function(){if(MathJax.Hub.config.positionToHash&&document.location.hash&&document.body&&document.body.scrollIntoView){var d=document.location.hash.substr(1);var f=document.getElementById(d);if(!f){var c=document.getElementsByTagName("a");for(var e=0,b=c.length;e<b;e++){if(c[e].name===d){f=c[e];break}}}if(f){while(!f.scrollIntoView){f=f.parentNode}f=this.HashCheck(f);if(f&&f.scrollIntoView){setTimeout(function(){f.scrollIntoView(true)},1)}}}},HashCheck:function(b){if(b.isMathJax){var a=MathJax.Hub.getJaxFor(b);if(a&&MathJax.OutputJax[a.outputJax].hashCheck){b=MathJax.OutputJax[a.outputJax].hashCheck(b)}}return b},MenuZoom:function(){if(MathJax.Hub.config.showMathMenu){if(!MathJax.Extension.MathMenu){setTimeout(function(){MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/MathMenu.js",{}],["loadDomain",MathJax.Localization,"MathMenu"])},1000)}else{setTimeout(MathJax.Callback(["loadDomain",MathJax.Localization,"MathMenu"]),1000)}if(!MathJax.Extension.MathZoom){setTimeout(MathJax.Callback(["Require",MathJax.Ajax,"[MathJax]/extensions/MathZoom.js",{}]),2000)}}},onLoad:function(){var a=this.onload=MathJax.Callback(function(){MathJax.Hub.Startup.signal.Post("onLoad")});if(document.body&&document.readyState){if(MathJax.Hub.Browser.isMSIE){if(document.readyState==="complete"){return[a]}}else{if(document.readyState!=="loading"){return[a]}}}if(window.addEventListener){window.addEventListener("load",a,false);if(!this.params.noDOMContentEvent){window.addEventListener("DOMContentLoaded",a,false)}}else{if(window.attachEvent){window.attachEvent("onload",a)}else{window.onload=a}}return a},Typeset:function(a,b){if(MathJax.Hub.config.skipStartupTypeset){return function(){}}return this.queue.Push(["Post",this.signal,"Begin Typeset"],["Typeset",MathJax.Hub,a,b],["Post",this.signal,"End Typeset"])},URL:function(b,a){if(!a.match(/^([a-z]+:\/\/|\[|\/)/)){a="[MathJax]/"+b+"/"+a}return a},loadArray:function(b,f,c,a){if(b){if(!(b instanceof Array)){b=[b]}if(b.length){var h=MathJax.Callback.Queue(),j={},e;for(var g=0,d=b.length;g<d;g++){e=this.URL(f,b[g]);if(c){e+="/"+c}if(a){h.Push(["Require",MathJax.Ajax,e,j])}else{h.Push(MathJax.Ajax.Require(e,j))}}return h.Push({})}}return null}};(function(d){var b=window[d],e="["+d+"]";var c=b.Hub,a=b.Ajax,f=b.Callback;var g=MathJax.Object.Subclass({JAXFILE:"jax.js",require:null,config:{},Init:function(i,h){if(arguments.length===0){return this}return(this.constructor.Subclass(i,h))()},Augment:function(k,j){var i=this.constructor,h={};if(k!=null){for(var l in k){if(k.hasOwnProperty(l)){if(typeof k[l]==="function"){i.protoFunction(l,k[l])}else{h[l]=k[l]}}}if(k.toString!==i.prototype.toString&&k.toString!=={}.toString){i.protoFunction("toString",k.toString)}}c.Insert(i.prototype,h);i.Augment(null,j);return this},Translate:function(h,i){throw Error(this.directory+"/"+this.JAXFILE+" failed to define the Translate() method")},Register:function(h){},Config:function(){this.config=c.CombineConfig(this.id,this.config);if(this.config.Augment){this.Augment(this.config.Augment)}},Startup:function(){},loadComplete:function(i){if(i==="config.js"){return a.loadComplete(this.directory+"/"+i)}else{var h=f.Queue();h.Push(c.Register.StartupHook("End Config",{}),["Post",c.Startup.signal,this.id+" Jax Config"],["Config",this],["Post",c.Startup.signal,this.id+" Jax Require"],[function(j){return MathJax.Hub.Startup.loadArray(j.require,this.directory)},this],[function(j,k){return MathJax.Hub.Startup.loadArray(j.extensions,"extensions/"+k)},this.config||{},this.id],["Post",c.Startup.signal,this.id+" Jax Startup"],["Startup",this],["Post",c.Startup.signal,this.id+" Jax Ready"]);if(this.copyTranslate){h.Push([function(j){j.preProcess=j.preTranslate;j.Process=j.Translate;j.postProcess=j.postTranslate},this.constructor.prototype])}return h.Push(["loadComplete",a,this.directory+"/"+i])}}},{id:"Jax",version:"2.4-beta",directory:e+"/jax",extensionDir:e+"/extensions"});b.InputJax=g.Subclass({elementJax:"mml",sourceMenuTitle:["Original","Original Form"],copyTranslate:true,Process:function(l,q){var j=f.Queue(),o;var k=this.elementJax;if(!(k instanceof Array)){k=[k]}for(var n=0,h=k.length;n<h;n++){o=b.ElementJax.directory+"/"+k[n]+"/"+this.JAXFILE;if(!this.require){this.require=[]}else{if(!(this.require instanceof Array)){this.require=[this.require]}}this.require.push(o);j.Push(a.Require(o))}o=this.directory+"/"+this.JAXFILE;var p=j.Push(a.Require(o));if(!p.called){this.constructor.prototype.Process=function(){if(!p.called){return p}throw Error(o+" failed to load properly")}}k=c.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},needsUpdate:function(h){var i=h.SourceElement();return(h.originalText!==b.HTML.getScript(i))},Register:function(h){if(!c.inputJax){c.inputJax={}}c.inputJax[h]=this}},{id:"InputJax",version:"2.4-beta",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({copyTranslate:true,preProcess:function(j){var i,h=this.directory+"/"+this.JAXFILE;this.constructor.prototype.preProcess=function(k){if(!i.called){return i}throw Error(h+" failed to load properly")};i=a.Require(h);return i},Register:function(i){var h=c.outputJax;if(!h[i]){h[i]=[]}if(h[i].length&&(this.id===c.config.menuSettings.renderer||(h.order[this.id]||0)<(h.order[h[i][0].id]||0))){h[i].unshift(this)}else{h[i].push(this)}if(!this.require){this.require=[]}else{if(!(this.require instanceof Array)){this.require=[this.require]}}this.require.push(b.ElementJax.directory+"/"+(i.split(/\//)[1])+"/"+this.JAXFILE)},Remove:function(h){}},{id:"OutputJax",version:"2.4-beta",directory:g.directory+"/output",extensionDir:g.extensionDir,fontDir:e+(b.isPacked?"":"/..")+"/fonts",imageDir:e+(b.isPacked?"":"/..")+"/images"});b.ElementJax=g.Subclass({Init:function(i,h){return this.constructor.Subclass(i,h)},inputJax:null,outputJax:null,inputID:null,originalText:"",mimeType:"",sourceMenuTitle:["MathMLcode","MathML Code"],Text:function(i,j){var h=this.SourceElement();b.HTML.setScript(h,i);h.MathJax.state=this.STATE.UPDATE;return c.Update(h,j)},Reprocess:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.UPDATE;return c.Reprocess(h,i)},Update:function(h){return this.Rerender(h)},Rerender:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(h){if(this.hover){this.hover.clear(this)}b.OutputJax[this.outputJax].Remove(this);if(!h){c.signal.Post(["Remove Math",this.inputID]);this.Detach()}},needsUpdate:function(){return b.InputJax[this.inputJax].needsUpdate(this)},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=b.HTML.getScript(i);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}return h},Detach:function(){var h=this.SourceElement();if(!h){return}try{delete h.MathJax}catch(i){h.MathJax=null}if(this.newID){h.id=""}},Clone:function(h){var i;for(i in this){if(!this.hasOwnProperty(i)){continue}if(typeof(h[i])==="undefined"&&i!=="newID"){delete this[i]}}for(i in h){if(!h.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{id:"ElementJax",version:"2.4-beta",directory:g.directory+"/element",extensionDir:g.extensionDir,ID:0,STATE:{PENDING:1,PROCESSED:2,UPDATE:3,OUTPUT:4},GetID:function(){this.ID++;return"MathJax-Element-"+this.ID},Subclass:function(){var h=g.Subclass.apply(this,arguments);h.loadComplete=this.prototype.loadComplete;return h}});b.ElementJax.prototype.STATE=b.ElementJax.STATE;b.OutputJax.Error={id:"Error",version:"2.4-beta",config:{},ContextMenu:function(){return b.Extension.MathEvents.Event.ContextMenu.apply(b.Extension.MathEvents.Event,arguments)},Mousedown:function(){return b.Extension.MathEvents.Event.AltContextMenu.apply(b.Extension.MathEvents.Event,arguments)},getJaxFromMath:function(h){return(h.nextSibling.MathJax||{}).error},Jax:function(j,i){var h=MathJax.Hub.inputJax[i.type.replace(/ *;(.|\s)*/,"")];return{inputJax:(h||{id:"Error"}).id,outputJax:"Error",sourceMenuTitle:["ErrorMessage","Error Message"],sourceMenuFormat:"Error",originalText:MathJax.HTML.getScript(i),errorText:j}}};b.InputJax.Error={id:"Error",version:"2.4-beta",config:{},sourceMenuTitle:["Original","Original Form"]}})("MathJax");(function(n){var g=window[n];if(!g){g=window[n]={}}var c=g.Hub;var r=c.Startup;var v=c.config;var f=document.getElementsByTagName("head")[0];if(!f){f=document.childNodes[0]}var b=(document.documentElement||document).getElementsByTagName("script");var e=new RegExp("(^|/)"+n+"\\.js(\\?.*)?$");for(var p=b.length-1;p>=0;p--){if((b[p].src||"").match(e)){r.script=b[p].innerHTML;if(RegExp.$2){var s=RegExp.$2.substr(1).split(/\&/);for(var o=0,k=s.length;o<k;o++){var l=s[o].match(/(.*)=(.*)/);if(l){r.params[unescape(l[1])]=unescape(l[2])}}}v.root=b[p].src.replace(/(^|\/)[^\/]*(\?.*)?$/,"").replace(/^(https?:\/\/(cdn.mathjax.org|[0-9a-f]+(-[0-9a-f]+)?.ssl.cf1.rackcdn.com)\/mathjax\/)(latest)/,"$1"+g.version+"-$4");g.Ajax.config.root=v.root;break}}var h=navigator.userAgent;var a={isMac:(navigator.platform.substr(0,3)==="Mac"),isPC:(navigator.platform.substr(0,3)==="Win"),isMSIE:("ActiveXObject" in window&&"clipboardData" in window),isFirefox:(h.match(/Gecko\//)&&!h.match(/like Gecko/)),isSafari:(h.match(/ (Apple)?WebKit\//)!=null&&(!window.chrome||window.chrome.loadTimes==null)),isChrome:(window.chrome!=null&&window.chrome.loadTimes!=null),isOpera:(window.opera!=null&&window.opera.version!=null),isKonqueror:("konqueror" in window&&navigator.vendor=="KDE"),versionAtLeast:function(x){var w=(this.version).split(".");x=(new String(x)).split(".");for(var y=0,j=x.length;y<j;y++){if(w[y]!=x[y]){return parseInt(w[y]||"0")>=parseInt(x[y])}}return true},Select:function(j){var i=j[c.Browser];if(i){return i(c.Browser)}return null}};var d=h.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");c.Browser=c.Insert(c.Insert(new String("Unknown"),{version:"0.0"}),a);for(var u in a){if(a.hasOwnProperty(u)){if(a[u]&&u.substr(0,2)==="is"){u=u.slice(2);if(u==="Mac"||u==="PC"){continue}c.Browser=c.Insert(new String(u),a);var q=new RegExp(".*(Version/| Trident/.*; rv:)((?:\\d+\\.)+\\d+)|.*("+u+")"+(u=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var t=q.exec(d)||["","","","unknown","0.0"];c.Browser.name=(t[1]!=""?u:(t[3]||t[5]));c.Browser.version=t[2]||t[4]||t[6];break}}}c.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=534){j.version="5.1"}else{if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}}j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||h.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=h.match(/[\/ ]rv:(\d+\.\d.*?)[\) ]/);if(m){j.version=m[1]}else{var i=(navigator.buildID||navigator.productSub||"0").substr(0,8);if(i>="20111220"){j.version="9.0"}else{if(i>="20111120"){j.version="8.0"}else{if(i>="20110927"){j.version="7.0"}else{if(i>="20110816"){j.version="6.0"}else{if(i>="20110621"){j.version="5.0"}else{if(i>="20110320"){j.version="4.0"}else{if(i>="20100121"){j.version="3.6"}else{if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}}}}}}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||h.match(/ Fennec\//)!=null||h.match(/Mobile/)!=null)},Opera:function(i){i.version=opera.version()},MSIE:function(j){j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;var w=false;try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=w=true}catch(m){}try{if(w&&!r.params.NoMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(i);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");j.mpNamespace=true;if(document.readyState&&(document.readyState==="loading"||document.readyState==="interactive")){document.write('<?import namespace="m" implementation="#MathPlayer">');j.mpImported=true}}else{document.namespaces.add("mjx_IE_fix","http://www.w3.org/1999/xlink")}}catch(m){}}});c.Browser.Select(MathJax.Message.browsers);if(g.AuthorConfig&&typeof g.AuthorConfig.AuthorInit==="function"){g.AuthorConfig.AuthorInit()}c.queue=g.Callback.Queue();c.queue.Push(["Post",r.signal,"Begin"],["Config",r],["Cookie",r],["Styles",r],["Message",r],function(){var i=g.Callback.Queue(r.Jax(),r.Extensions());return i.Push({})},["Menu",r],r.onLoad(),function(){MathJax.isReady=true},["Typeset",r],["Hash",r],["MenuZoom",r],["Post",r.signal,"End"])})("MathJax")}};
diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js
index f35bbbe0f..67fcd86f9 100644
--- a/config/AM_HTMLorMML-full.js
+++ b/config/AM_HTMLorMML-full.js
@@ -33,18 +33,18 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.3",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.asciimath2jax={version:"2.3",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.4-beta",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.asciimath2jax={version:"2.4-beta",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(ag){var k;var aa=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(i){if(i.parent){i.parent.removeChild(i)}if(this.lastChild){this.lastChild.nextSibling=i}if(!this.firstChild){this.firstChild=i}this.childNodes.push(i);i.parent=this;this.lastChild=i;return i},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.childNodes[ak]=al;al.nextSibling=aj.nextSibling;aj.nextSibling=aj.parent=null;return aj},toString:function(){return"{"+this.childNodes.join("")+"}"}});var E=function(){k=MathJax.ElementJax.mml;var i=k.mbase.prototype.Init;k.mbase.Augment({firstChild:null,lastChild:null,nodeValue:"",nextSibling:null,Init:function(){var ai=i.apply(this,arguments)||this;ai.childNodes=ai.data;ai.nodeName=ai.type;return ai},appendChild:function(al){if(al.parent){al.parent.removeChild(al)}var aj=arguments;if(al.isa(aa)){aj=al.childNodes;al.data=al.childNodes=[];al.firstChild=al.lastChild=null}for(var ak=0,ai=aj.length;ak<ai;ak++){al=aj[ak];if(this.lastChild){this.lastChild.nextSibling=al}if(!this.firstChild){this.firstChild=al}this.Append(al);this.lastChild=al;this.nodeValue+=al.nodeValue}return al},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}this.nodeValue="";for(aj=0,ai=this.childNodes.length;aj<ai;aj++){this.nodeValue+=this.childNodes[aj].nodeValue}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.SetData(ak,al);al.nextSibling=aj.nextSibling;this.nodeValue="";for(ak=0,ai=this.childNodes.length;ak<ai;ak++){this.nodeValue+=this.childNodes[ak].nodeValue}aj.nextSibling=aj.parent=null;return aj},setAttribute:function(ai,aj){this[ai]=aj}})};var S={};var g={getElementById:true,createElementNS:function(ai,i){return k[i]()},createTextNode:function(i){return k.chars(i).With({nodeValue:i})},createDocumentFragment:function(){return aa()}};var O={appName:"MathJax"};var ac;var I="red";var ad="serif";var t=true;var C=true;var f=".";var q=g.createElementNS==null;function V(i){if(q){return g.createElement(i)}else{return g.createElementNS("http://www.w3.org/1999/xhtml",i)}}var J=[61237,8492,61238,61239,8496,8497,61240,8459,8464,61241,61242,8466,8499,61243,61244,61245,61246,8475,61247,61248,61249,61250,61251,61252,61253,61254];var N=[61277,61278,8493,61279,61280,61281,61282,8460,8465,61283,61284,61285,61286,61287,61288,61289,61290,8476,61291,61292,61293,61294,61295,61296,61297,8488];var D=[61324,61325,8450,61326,61327,61328,61329,8461,61330,61331,61332,61333,61334,8469,61335,8473,8474,8477,61336,61337,61338,61339,61340,61341,61342,8484];var d=0,H=1,X=2,m=3,b=4,l=5,a=6,P=7,Z=8,r=9,ab=10;var j={input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:H},af={input:"root",tag:"mroot",output:"root",tex:null,ttype:X},A={input:"frac",tag:"mfrac",output:"/",tex:null,ttype:X},Q={input:"/",tag:"mfrac",output:"/",tex:null,ttype:m},o={input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:X},s={input:"_",tag:"msub",output:"_",tex:null,ttype:m},h={input:"^",tag:"msup",output:"^",tex:null,ttype:m},ah={input:"text",tag:"mtext",output:"text",tex:null,ttype:ab},x={input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:ab},p={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:ab};var G=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:d},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:d},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:d},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:d},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:d},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:d},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:d},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:d},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:d},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:d},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:d},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:d},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:d},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:d},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:d},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:d},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:d},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:d},{input:"phi",tag:"mi",output:"\u03C6",tex:null,ttype:d},{input:"varphi",tag:"mi",output:"\u03D5",tex:null,ttype:d},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:d},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:d},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:d},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:d},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:d},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:d},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:d},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:d},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:d},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:d},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:d},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:d},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:d},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:d},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:d},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:d},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:d},{input:"**",tag:"mo",output:"\u22C6",tex:"star",ttype:d},{input:"//",tag:"mo",output:"/",tex:null,ttype:d},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:d},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:d},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:d},{input:"-:",tag:"mo",output:"\u00F7",tex:"divide",ttype:d},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:d},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:d},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:d},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:d},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:P},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:P},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:d},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:P},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:d},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:P},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:d},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:P},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:d},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:P},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:d},{input:":=",tag:"mo",output:":=",tex:null,ttype:d},{input:"lt",tag:"mo",output:"<",tex:null,ttype:d},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:d},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:d},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:d},{input:"geq",tag:"mo",output:"\u2265",tex:null,ttype:d},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:d},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:d},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:d},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:d},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:d},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:d},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:d},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:d},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:d},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:d},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:d},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:d},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:d},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:d},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:d},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:d},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:d},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:d},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:d},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:d},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:d},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:d},{input:"(",tag:"mo",output:"(",tex:null,ttype:b},{input:")",tag:"mo",output:")",tex:null,ttype:l},{input:"[",tag:"mo",output:"[",tex:null,ttype:b},{input:"]",tag:"mo",output:"]",tex:null,ttype:l},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:l},{input:"|",tag:"mo",output:"|",tex:null,ttype:r},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:l},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:l},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:l,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:d},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:Z},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:Z},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:Z},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:Z},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:d},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:d},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:d},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:d},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:d},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:d},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:d},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:d},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:d},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:d},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:d},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:d},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:d},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:d},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:d},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:d},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:d},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:d},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:d},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:d},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:d},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:d},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:d},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:d},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:d},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:d},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:d},{input:"f",tag:"mi",output:"f",tex:null,ttype:H,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:H,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:P},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:P},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:H,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:H,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:H,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:H,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:H,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:H,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:H,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:H,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:H,func:true},{input:"log",tag:"mo",output:"log",tex:null,ttype:H,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:H,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:H,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:d},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:d},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:H,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:H,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:d},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:d},{input:"min",tag:"mo",output:"min",tex:null,ttype:P},{input:"max",tag:"mo",output:"max",tex:null,ttype:P},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:d},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:d},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:d},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:d},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:d},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:d},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:d},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:d},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:d},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:d},j,af,A,Q,o,s,h,{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:H,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:H,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:H,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:H,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:H,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:H,acc:true},ah,x,p,{input:"bb",tag:"mstyle",atname:"fontweight",atval:"bold",output:"bb",tex:null,ttype:H},{input:"mathbf",tag:"mstyle",atname:"fontweight",atval:"bold",output:"mathbf",tex:null,ttype:H},{input:"sf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"sf",tex:null,ttype:H},{input:"mathsf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"mathsf",tex:null,ttype:H},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:H,codes:D},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:H,codes:D},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:H,codes:J},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:H,codes:J},{input:"tt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"tt",tex:null,ttype:H},{input:"mathtt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"mathtt",tex:null,ttype:H},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:H,codes:N},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:H,codes:N}];function W(ai,i){if(ai.input>i.input){return 1}else{return -1}}var U=[];function v(){var aj=[],ai;for(ai=0;ai<G.length;ai++){if(G[ai].tex){aj[aj.length]={input:G[ai].tex,tag:G[ai].tag,output:G[ai].output,ttype:G[ai].ttype}}}G=G.concat(aj);G.sort(W);for(ai=0;ai<G.length;ai++){U[ai]=G[ai].input}}var Y="http://www.w3.org/1998/Math/MathML";function R(i){if(q){return g.createElement("m:"+i)}else{return g.createElementNS(Y,i)}}function M(i,aj){if(q){var ai=g.createElement("m:"+i)}else{ai=g.createElementNS(Y,i)}ai.appendChild(aj);return ai}function B(i,ai){G=G.concat([{input:i,tag:"mo",output:ai,tex:null,ttype:Z}]);G.sort(W);for(ac=0;ac<G.length;ac++){U[ac]=G[ac].input}}function u(ak,al){var ai;if(ak.charAt(al)=="\\"&&ak.charAt(al+1)!="\\"&&ak.charAt(al+1)!=" "){ai=ak.slice(al+1)}else{ai=ak.slice(al)}for(var aj=0;aj<ai.length&&ai.charCodeAt(aj)<=32;aj=aj+1){}return ai.slice(aj)}function c(aj,am,an){if(an==0){var al,ai;an=-1;al=aj.length;while(an+1<al){ai=(an+al)>>1;if(aj[ai]<am){an=ai}else{al=ai}}return al}else{for(var ak=an;ak<aj.length&&aj[ak]<am;ak++){}}return ak}function n(ao){var ai=0;var aj=0;var al;var ar;var aq;var am="";var an=true;for(var ak=1;ak<=ao.length&&an;ak++){ar=ao.slice(0,ak);aj=ai;ai=c(U,ar,aj);if(ai<U.length&&ao.slice(0,U[ai].length)==U[ai]){am=U[ai];al=ai;ak=am.length}an=ai<U.length&&ao.slice(0,U[ai].length)>=U[ai]}y=F;if(am!=""){F=G[al].ttype;return G[al]}F=d;ai=1;ar=ao.slice(0,1);var ap=true;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}if(ar==f){ar=ao.slice(ai,ai+1);if("0"<=ar&&ar<="9"){ap=false;ai++;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}}}if((ap&&ai>1)||ai>2){ar=ao.slice(0,ai-1);aq="mn"}else{ai=2;ar=ao.slice(0,1);aq=(("A">ar||ar>"Z")&&("a">ar||ar>"z")?"mo":"mi")}if(ar=="-"&&y==m){F=m;return{input:ar,tag:aq,output:ar,ttype:H,func:true}}return{input:ar,tag:aq,output:ar,ttype:d}}function T(ai){var i;if(ai.nodeName=="mrow"){i=ai.firstChild.firstChild.nodeValue;if(i=="("||i=="["||i=="{"){ai.removeChild(ai.firstChild)}}if(ai.nodeName=="mrow"){i=ai.lastChild.firstChild.nodeValue;if(i==")"||i=="]"||i=="}"){ai.removeChild(ai.lastChild)}}}var K,y,F;function L(ao){var ak,aj,ar,am,aq,an=g.createDocumentFragment();ao=u(ao,0);ak=n(ao);if(ak==null||ak.ttype==l&&K>0){return[null,ao]}if(ak.ttype==Z){ao=ak.output+u(ao,ak.input.length);ak=n(ao)}switch(ak.ttype){case P:case d:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao];case b:K++;ao=u(ao,ak.input.length);ar=w(ao,true);K--;if(typeof ak.invisible=="boolean"&&ak.invisible){aj=M("mrow",ar[0])}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0])}return[aj,ar[1]];case ab:if(ak!=p){ao=u(ao,ak.input.length)}if(ao.charAt(0)=="{"){am=ao.indexOf("}")}else{if(ao.charAt(0)=="("){am=ao.indexOf(")")}else{if(ao.charAt(0)=="["){am=ao.indexOf("]")}else{if(ak==p){am=ao.slice(1).indexOf('"')+1}else{am=0}}}}if(am==-1){am=ao.length}aq=ao.slice(1,am);if(aq.charAt(0)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}an.appendChild(M(ak.tag,g.createTextNode(aq)));if(aq.charAt(aq.length-1)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}ao=u(ao,am+1);return[M("mrow",an),ao];case H:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M(ak.tag,g.createTextNode(ak.output)),ao]}if(typeof ak.func=="boolean"&&ak.func){aq=ao.charAt(0);if(aq=="^"||aq=="_"||aq=="/"||aq=="|"||aq==","){return[M(ak.tag,g.createTextNode(ak.output)),ao]}else{aj=M("mrow",M(ak.tag,g.createTextNode(ak.output)));aj.appendChild(ar[0]);return[aj,ar[1]]}}T(ar[0]);if(ak.input=="sqrt"){return[M(ak.tag,ar[0]),ar[1]]}else{if(typeof ak.acc=="boolean"&&ak.acc){aj=M(ak.tag,ar[0]);aj.appendChild(M("mo",g.createTextNode(ak.output)));return[aj,ar[1]]}else{if(!q&&typeof ak.codes!="undefined"){for(am=0;am<ar[0].childNodes.length;am++){if(ar[0].childNodes[am].nodeName=="mi"||ar[0].nodeName=="mi"){aq=(ar[0].nodeName=="mi"?ar[0].firstChild.nodeValue:ar[0].childNodes[am].firstChild.nodeValue);var ap=[];for(var al=0;al<aq.length;al++){if(aq.charCodeAt(al)>64&&aq.charCodeAt(al)<91){ap=ap+String.fromCharCode(ak.codes[aq.charCodeAt(al)-65])}else{ap=ap+aq.charAt(al)}}if(ar[0].nodeName=="mi"){ar[0]=R("mo").appendChild(g.createTextNode(ap))}else{ar[0].replaceChild(R("mo").appendChild(g.createTextNode(ap)),ar[0].childNodes[am])}}}}aj=M(ak.tag,ar[0]);aj.setAttribute(ak.atname,ak.atval);return[aj,ar[1]]}}case X:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ar[0]);var ai=L(ar[1]);if(ai[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ai[0]);if(ak.input=="root"||ak.input=="stackrel"){an.appendChild(ai[0])}an.appendChild(ar[0]);if(ak.input=="frac"){an.appendChild(ai[0])}return[M(ak.tag,an),ai[1]];case m:ao=u(ao,ak.input.length);return[M("mo",g.createTextNode(ak.output)),ao];case a:ao=u(ao,ak.input.length);aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);an.appendChild(M(ak.tag,g.createTextNode(ak.output)));aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);return[M("mrow",an),ao];case r:K++;ao=u(ao,ak.input.length);ar=w(ao,false);K--;aq="";if(ar[0].lastChild!=null){aq=ar[0].lastChild.firstChild.nodeValue}if(aq=="|"){aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0]);return[aj,ar[1]]}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);return[aj,ao]}default:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao]}}function z(an){var al,ao,am,ak,i,aj;an=u(an,0);ao=n(an);i=L(an);ak=i[0];an=i[1];al=n(an);if(al.ttype==m&&al.input!="/"){an=u(an,al.input.length);i=L(an);if(i[0]==null){i[0]=M("mo",g.createTextNode("\u25A1"))}else{T(i[0])}an=i[1];if(al.input=="_"){am=n(an);aj=(ao.ttype==P);if(am.input=="^"){an=u(an,am.input.length);var ai=L(an);T(ai[0]);an=ai[1];ak=M((aj?"munderover":"msubsup"),ak);ak.appendChild(i[0]);ak.appendChild(ai[0]);ak=M("mrow",ak)}else{ak=M((aj?"munder":"msub"),ak);ak.appendChild(i[0])}}else{ak=M(al.tag,ak);ak.appendChild(i[0])}}return[ak,an]}function w(aq,ap){var av,ar,am,ay,an=g.createDocumentFragment();do{aq=u(aq,0);am=z(aq);ar=am[0];aq=am[1];av=n(aq);if(av.ttype==m&&av.input=="/"){aq=u(aq,av.input.length);am=z(aq);if(am[0]==null){am[0]=M("mo",g.createTextNode("\u25A1"))}else{T(am[0])}aq=am[1];T(ar);ar=M(av.tag,ar);ar.appendChild(am[0]);an.appendChild(ar);av=n(aq)}else{if(ar!=undefined){an.appendChild(ar)}}}while((av.ttype!=l&&(av.ttype!=r||ap)||K==0)&&av!=null&&av.output!="");if(av.ttype==l||av.ttype==r){var az=an.childNodes.length;if(az>0&&an.childNodes[az-1].nodeName=="mrow"&&az>1&&an.childNodes[az-2].nodeName=="mo"&&an.childNodes[az-2].firstChild.nodeValue==","){var aB=an.childNodes[az-1].lastChild.firstChild.nodeValue;if(aB==")"||aB=="]"){var aj=an.childNodes[az-1].firstChild.firstChild.nodeValue;if(aj=="("&&aB==")"&&av.output!="}"||aj=="["&&aB=="]"){var ak=[];var aw=true;var at=an.childNodes.length;for(ay=0;aw&&ay<at;ay=ay+2){ak[ay]=[];ar=an.childNodes[ay];if(aw){aw=ar.nodeName=="mrow"&&(ay==at-1||ar.nextSibling.nodeName=="mo"&&ar.nextSibling.firstChild.nodeValue==",")&&ar.firstChild.firstChild.nodeValue==aj&&ar.lastChild.firstChild.nodeValue==aB}if(aw){for(var ax=0;ax<ar.childNodes.length;ax++){if(ar.childNodes[ax].firstChild.nodeValue==","){ak[ay][ak[ay].length]=ax}}}if(aw&&ay>1){aw=ak[ay].length==ak[ay-2].length}}if(aw){var al,ai,ao,au,aA=g.createDocumentFragment();for(ay=0;ay<at;ay=ay+2){al=g.createDocumentFragment();ai=g.createDocumentFragment();ar=an.firstChild;ao=ar.childNodes.length;au=0;ar.removeChild(ar.firstChild);for(ax=1;ax<ao-1;ax++){if(typeof ak[ay][au]!="undefined"&&ax==ak[ay][au]){ar.removeChild(ar.firstChild);al.appendChild(M("mtd",ai));au++}else{ai.appendChild(ar.firstChild)}}al.appendChild(M("mtd",ai));if(an.childNodes.length>2){an.removeChild(an.firstChild);an.removeChild(an.firstChild)}aA.appendChild(M("mtr",al))}ar=M("mtable",aA);if(typeof av.invisible=="boolean"&&av.invisible){ar.setAttribute("columnalign","left")}an.replaceChild(ar,an.firstChild)}}}}aq=u(aq,av.input.length);if(typeof av.invisible!="boolean"||!av.invisible){ar=M("mo",g.createTextNode(av.output));an.appendChild(ar)}}return[an,aq]}function e(aj){var ai=R("mstyle");if(I!=""){ai.setAttribute("mathcolor",I)}if(t){ai.setAttribute("displaystyle","true")}if(ad!=""){ai.setAttribute("fontfamily",ad)}K=0;ai.appendChild(w(aj.replace(/^\s+/g,""),false)[0]);ai=M("math",ai);if(C){ai.setAttribute("title",aj.replace(/\s+/g," "))}if(ad!=""&&(q||ad!="serif")){var i=V("font");i.setAttribute("face",ad);i.appendChild(ai);return i}return ai}C=false;ad="";I="";(function(){for(var aj=0,ai=G.length;aj<ai;aj++){if(G[aj].codes){delete G[aj].codes}if(G[aj].func){G[aj].tag="mi"}if(G[aj].atname==="fontfamily"||G[aj].atname==="fontweight"){G[aj].atname="mathvariant"}}})();G.push({input:"gt",tag:"mo",output:">",tex:null,ttype:d},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:d},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:d},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:d},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:d},{input:"arcsin",tag:"mi",output:"arcsin",tex:null,ttype:H,func:true},{input:"arccos",tag:"mi",output:"arccos",tex:null,ttype:H,func:true},{input:"arctan",tag:"mi",output:"arctan",tex:null,ttype:H,func:true},{input:"coth",tag:"mi",output:"coth",tex:null,ttype:H,func:true},{input:"sech",tag:"mi",output:"sech",tex:null,ttype:H,func:true},{input:"csch",tag:"mi",output:"csch",tex:null,ttype:H,func:true},{input:"abs",tag:"mi",output:"abs",tex:null,ttype:H,func:true},{input:"exp",tag:"mi",output:"exp",tex:null,ttype:H,func:true},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:H,acc:true});ag.Augment({AM:{Init:function(){t=ag.config.displaystyle;f=(ag.config.decimal||ag.config.decimalsign);E();v()},Augment:function(i){for(var ai in i){if(i.hasOwnProperty(ai)){switch(ai){case"displaystyle":t=i[ai];break;case"decimal":decimal=i[ai];break;case"parseMath":e=i[ai];break;case"parseExpr":w=i[ai];break;case"parseIexpr":z=i[ai];break;case"parseSexpr":L=i[ai];break;case"removeBrackets":T=i[ai];break;case"getSymbol":n=i[ai];break;case"position":c=i[ai];break;case"removeCharsAndBlanks":u=i[ai];break;case"createMmlNode":M=i[ai];break;case"createElementMathML":R=i[ai];break;case"createElementXHTML":V=i[ai];break;case"initSymbols":v=i[ai];break;case"compareNames":comareNames=i[ai];break}this[ai]=i[ai]}}},parseMath:e,parseExpr:w,parseIexpr:z,parseSexr:L,removeBrackets:T,getSymbol:n,position:c,removeCharsAndBlanks:u,createMmlNode:M,createElementMathML:R,createElementXHTML:V,initSymbols:v,compareNames:W,createDocumentFragment:aa,document:g,define:B,symbols:G,names:U,TOKEN:{CONST:d,UNARY:H,BINARY:X,INFIX:m,LEFTBRACKET:b,RIGHTBRACKET:l,SPACE:a,UNDEROVER:P,DEFINITION:Z,LEFTRIGHT:r,TEXT:ab}}});var ae=[S,O];ae=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};this.prefilterHooks.Execute(g);f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline"},"div.MathJax_MathML":{display:"block"},".MathJax_mmlExBox":{display:"block",overflow:"hidden",height:"1px",width:"60ex",padding:0,border:0,margin:0}}},settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!i){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(i){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame"),n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.style.width=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(p){var t=this.defaults;var v=(this.attrNames||f.copyAttributeNames),r=f.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){t=f.math.prototype.defaults}for(var u in t){if(!r[u]&&t.hasOwnProperty(u)){if(this[u]!=null){p.setAttribute(u,this.NativeMMLattribute(this[u]))}}}}for(var q=0,o=v.length;q<o;q++){var s=(this.attr||{})[v[q]];if(s==null){s=this[v[q]]}if(s!=null){p.setAttribute(v[q],this.NativeMMLattribute(s))}}this.NativeMMLclass(p)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(i?document.createElement("m:"+o):document.createElementNS(l.MMLnamespace,o));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}})}f.math.Augment({toNativeMML:function(v){var x=this.NativeMMLelement(this.type),u=x,p;var t,r;l.adjustWidths=[];x.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(x);if(l.widthBug){x=x.appendChild(this.NativeMMLelement("mrow"))}for(t=0,r=this.data.length;t<r;t++){if(this.data[t]){this.data[t].toNativeMML(x)}else{x.appendChild(this.NativeMMLelement("mrow"))}}var s=((this.data[0]||[]).data[0]||{});if(s.nMMLhasLabels){if(s.nMMLforceWidth||!s.nMMLlaMatch){x.setAttribute("style","width:100%");v.style.width=v.parentNode.style.width="100%"}if(s.nMMLlaMatch){if(v.parentNode.parentNode.nodeName.toLowerCase()==="div"){v.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}v.appendChild(u);if(l.widthBug&&!(s.nMMLhasLabels&&(s.nMMLforceWidth||!s.nMMLlaMatch))){v.style.width=(u.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";p=c.getJaxFor(v);if(p){p.NativeMML.scrollWidth=u.firstChild.scrollWidth}}if(l.adjustWidths.length){var w=[];for(t=0,r=l.adjustWidths.length;t<r;t++){x=l.adjustWidths[t];var o=x.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){w.push(x.scrollWidth);var q=(x.scrollWidth/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");x.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(v)}if(p){p.NativeMML.mtds=w}u.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}base=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(base);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}base=o}q.appendChild(base);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,base)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.operaPositionBug=true;l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=true;l.widthBug=true;l.spaceWidthBug=!m.versionAtLeast("20.0");l.mtdWidthBug=true;l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(h,b,d){var g,i=b.Browser.isMobile;var e=function(){var k=[].slice.call(arguments,0);k[0][0]=["HTML-CSS",k[0][0]];return MathJax.Message.Set.apply(MathJax.Message,k)};var f=MathJax.Object.Subclass({timeout:(i?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"},"STIX-Web":{family:"STIXWeb_Size1",testString:"() {} []"},"Asana-Math":{family:"AsanaMath_Size1",testString:"() {} []"},"Gyre-Pagella":{family:"GyrePagella_Size1",testString:"() {} []"},"Gyre-Termes":{family:"GyreTermes_Size1",testString:"() {} []"},"Latin-Modern":{family:"LatinModern_Size1",testString:"() {} []"},"Neo-Euler":{family:"NeoEuler_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(o,l){if(l&&this.testCollection(l)){return l}for(var n=0,k=o.length;n<k;n++){if(o[n]===l){continue}if(this.testCollection(o[n])){return o[n]}}return null},testCollection:function(k){return this.testFont(this.FontInfo[k])},testFont:function(n){if(n.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(n.weight||"normal");this.div.style.fontStyle=(n.style||"normal")}var l=this.getComparisonWidths(n.testString,n.noStyleChar);if(l){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==l[0]){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[l[2]];if(this.div.offsetWidth==l[1]){return false}}if(this.div.offsetWidth!=l[3]||this.div.offsetHeight!=l[4]){if(n.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var o=0,k=this.testSize.length;o<k;o++){if(this.testStyleChar(n,this.testSize[o])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(m,p){var s=3+(m.weight?2:0)+(m.style?4:0);var l="",o=0;var r=this.div.style.fontSize;this.div.style.fontSize=p;if(d.msieItalicWidthBug&&m.style==="italic"){this.text.nodeValue=l=this.compChar;o=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+l}else{this.text.nodeValue=this.compChar+l}var k=this.div.offsetWidth-o;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+l}else{this.text.nodeValue=this.styleChar+l}var q=Math.floor((this.div.offsetWidth-o)/k+0.5);if(q===s){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+l}else{this.text.nodeValue=this.versionChar+l}m.version=Math.floor((this.div.offsetWidth-o)/k+1.5)/2}this.div.style.fontSize=r;return(q===s)},getComparisonWidths:function(p,n){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!n){p+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=p}else{this.text.nodeValue=p}this.div.style.fontFamily=this.comparisonFont[0];var l=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var r=this.div.offsetWidth,o=this.div.offsetHeight;for(var q=1,k=this.comparisonFont.length;q<k;q++){this.div.style.fontFamily=this.comparisonFont[q];if(this.div.offsetWidth!=l){return[l,this.div.offsetWidth,q,r,o]}}return null},loadWebFont:function(l){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+l.directory);var o=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+l.directory]);var k=MathJax.Callback({});var m=MathJax.Callback(["loadComplete",this,l,o,k]);h.timer.start(h,[this.checkWebFont,l,m],0,this.timeout);return k},loadComplete:function(m,p,l,k){MathJax.Message.Clear(p);if(k===h.STATUS.OK){this.webFontLoaded=true;l();return}this.loadError(m);if(b.Browser.isFirefox&&d.allowWebFonts){var o=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){o+=":"+document.location.port}o+="/";if(h.fileURL(d.webfontDir).substr(0,o.length)!==o){this.firefoxFontError(m)}}if(!this.webFontLoaded){d.loadWebFontError(m,l)}else{l()}},loadError:function(k){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+k.directory],null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+k.directory,k])},firefoxFontError:function(k){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(k,l,m){if(k.time(m)){return}if(d.Font.testFont(l)){m(k.STATUS.OK)}else{setTimeout(k,k.delay)}},fontFace:function(m){var n=d.allowWebFonts;var p=d.FONTDATA.FONTS[m];if(d.msieFontCSSBug&&!p.family.match(/-Web$/)){p.family+="-Web"}var l=h.fileURL(d.webfontDir+"/"+n);var k=m.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!k.match(/-/)){k+="-Regular"}if(n==="svg"){k+=".svg#"+k}else{k+="."+n}var o={"font-family":p.family,src:"url('"+l+"/"+k+"')"};if(n==="otf"){o.src+=" format('opentype')";l=h.fileURL(d.webfontDir+"/woff");o.src="url('"+l+"/"+k.replace(/otf$/,"woff")+"') format('woff'), "+o.src}else{if(n!=="eot"){o.src+=" format('"+n+"')"}}if(!(d.FontFaceBug&&p.isWebFont)){if(m.match(/-bold/)){o["font-weight"]="bold"}if(m.match(/-italic/)){o["font-style"]="italic"}}return o}});var j,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var l=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(l.scale){this.config.scale=l.scale}if(l.font&&l.font!=="Auto"){if(l.font==="TeXLocal"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(l.font==="TeXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(l.font==="TeXimage"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}else{if(l.font==="STIXlocal"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="STIX-Web"}else{if(l.font==="STIXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="STIX-Web"}else{if(l.font==="AsanaMathWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Asana-Math"}else{if(l.font==="GyrePagellaWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Pagella"}else{if(l.font==="GyreTermesWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Termes"}else{if(l.font==="LatinModernWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Latin-Modern"}else{if(l.font==="NeoEulerWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Neo-Euler"}}}}}}}}}}}var k=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!k&&this.allowWebFonts){k=this.config.webFont;if(k){this.webFonts=true}}if(!k&&this.config.imageFont){k=this.config.imageFont;this.imgFonts=true}if(k){this.fontInUse=k;this.fontDir+="/"+k;this.webfontDir+="/"+k;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);this.fontInUse="generic";this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{fonts:[]},"-largeOp":{fonts:[]},"-smallOp":{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var l=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=l.offsetWidth/5;this.hiddenDiv.removeChild(l);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(k){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(n){for(var l=0,k=n.length;l<k;l++){if(n[l]==="STIX"){n.splice(l,1);k--;l--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=n[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var l=0,k=d.config.preloadWebFonts.length;l<k;l++){var n=d.FONTDATA.FONTS[d.config.preloadWebFonts[l]];if(!n.available){d.Font.testFont(n)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(o){var u=o.jax[this.id],v,r=u.length,z,t,A,n,y,l,x,q,s,k,w=false,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}t=z.previousSibling;if(t&&String(t.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)){t.parentNode.removeChild(t)}l=z.MathJax.elementJax;if(!l){continue}l.HTMLCSS={display:(l.root.Get("display")==="block")};A=n=this.Element("span",{className:"MathJax",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick});if(b.Browser.noContextMenu){A.ontouchstart=a.start;A.ontouchend=a.end}if(l.HTMLCSS.display){n=this.Element("div",{className:"MathJax_Display"});n.appendChild(A)}else{if(this.msieDisappearingBug){A.style.display="inline-block"}}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.EmExSpan.cloneNode(true),z);if(w){n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;q=y.lastChild.firstChild.offsetHeight/60;if(w){k=n.previousSibling.firstChild.offsetWidth}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.HTMLCSS.isHidden=true;x=this.defaultEx;q=this.defaultEm;if(w){k=this.defaultWidth}}s=(this.config.matchFontHeight?x/this.TeX.x_height/q:1);s=Math.floor(Math.max(this.config.minScaleAdjust/100,s)*this.config.scale);l.HTMLCSS.scale=s/100;l.HTMLCSS.fontSize=s+"%";l.HTMLCSS.em=l.HTMLCSS.outerEm=q;this.em=q*s/100;l.HTMLCSS.ex=x;l.HTMLCSS.lineWidth=(B?this.length2em(p,1,k/this.em):1000000)}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=u[v].previousSibling;l=u[v].MathJax.elementJax;if(!l){continue}if(w){A=y.previousSibling;if(!l.HTMLCSS.isHidden){A=A.previousSibling}A.parentNode.removeChild(A)}y.parentNode.removeChild(y)}o.HTMLCSSeqn=o.HTMLCSSlast=0;o.HTMLCSSi=-1;o.HTMLCSSchunk=this.config.EqnChunk;o.HTMLCSSdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.HTMLCSSdelay){p.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.HTMLCSS.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.HTMLCSS.em*k.HTMLCSS.scale;this.outerEm=k.HTMLCSS.em;this.scale=k.HTMLCSS.scale;this.linebreakWidth=k.HTMLCSS.lineWidth;if(this.scale!==1){m.style.fontSize=k.HTMLCSS.fontSize}this.initImg(m);this.initHTML(o,m);o.setTeXclass();try{o.toHTML(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}if(k.HTMLCSS.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_Processed";if(l.MathJax.preview){k.HTMLCSS.preview=l.MathJax.preview;delete l.MathJax.preview}p.HTMLCSSeqn+=(p.i-p.HTMLCSSi);p.HTMLCSSi=p.i;if(p.HTMLCSSeqn>=p.HTMLCSSlast+p.HTMLCSSchunk){this.postTranslate(p,true);p.HTMLCSSchunk=Math.floor(p.HTMLCSSchunk*this.config.EqnChunkFactor);p.HTMLCSSdelay=true}}},postTranslate:function(s,o){var l=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=s.HTMLCSSlast,k=s.HTMLCSSeqn;q<k;q++){var n=l[q];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var r=n.MathJax.elementJax.HTMLCSS;if(r.preview){r.preview.innerHTML="";n.MathJax.preview=r.preview;delete r.preview}}}if(this.forceReflow){var p=(document.styleSheets||[])[0]||{};p.disabled=true;p.disabled=false}s.HTMLCSSlast=s.HTMLCSSeqn},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return b.getJaxFor(k)},getHoverSpan:function(k,l){return k.root.HTMLspanElement()},getHoverBBox:function(k,n,o){var p=n.bbox,m=k.HTMLCSS.outerEm;var l={w:p.w*m,h:p.h*m,d:p.d*m};if(p.width){l.width=p.width}return l},Zoom:function(l,v,u,k,s){v.className="MathJax";v.style.fontSize=l.HTMLCSS.fontSize;var x=v.appendChild(this.EmExSpan.cloneNode(true));var o=x.lastChild.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o;this.outerEm=o/l.HTMLCSS.scale;x.parentNode.removeChild(x);this.idPostfix="-zoom";l.root.toHTML(v,v);this.idPostfix="";var n=l.root.HTMLspanElement().bbox.width;if(n){v.style.width=Math.floor(k-1.5*d.em)+"px";v.style.display="inline-block";var m=(l.root.id||"MathJax-Span-"+l.root.spanID)+"-zoom";var p=document.getElementById(m).firstChild;while(p&&p.style.width!==n){p=p.nextSibling}if(p){p.style.width="100%"}}v.style.position="absolute";if(!n){u.style.position="absolute"}var t=v.offsetWidth,r=v.offsetHeight,w=u.offsetHeight,q=u.offsetWidth;if(q===0){q=u.parentNode.offsetWidth}v.style.position=u.style.position="";return{Y:-j.getBBox(v).h,mW:q,mH:w,zW:t,zH:r}},initImg:function(k){},initHTML:function(l,k){},initFont:function(k){var m=d.FONTDATA.FONTS,l=d.config.availableFonts;if(l&&l.length&&d.Font.testFont(m[k])){m[k].available=true;return null}if(!this.allowWebFonts){return null}m[k].isWebFont=true;if(d.FontFaceBug){m[k].family=k;if(d.msieFontCSSBug){m[k].family+="-Web"}}return h.Styles({"@font-face":this.Font.fontFace(k)})},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.HTMLCSS.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.HTMLCSS},getHD:function(l){var k=l.style.position;l.style.position="absolute";this.HDimg.style.height="0px";l.appendChild(this.HDspan);var m={h:l.offsetHeight};this.HDimg.style.height=m.h+"px";m.d=l.offsetHeight-m.h;m.h-=m.d;m.h/=this.em;m.d/=this.em;l.removeChild(this.HDspan);l.style.position=k;return m},getW:function(o){var l,n,m=(o.bbox||{}).w,p=o;if(o.bbox&&o.bbox.exactW){return m}if((o.bbox&&m>=0&&!this.initialSkipBug)||this.negativeBBoxes||!o.firstChild){l=o.offsetWidth;n=o.parentNode.offsetHeight}else{if(o.bbox&&m<0&&this.msieNegativeBBoxBug){l=-o.offsetWidth,n=o.parentNode.offsetHeight}else{if(this.initialSkipBug){var k=o.style.position;o.style.position="absolute";p=this.startMarker;o.insertBefore(p,o.firstChild)}o.appendChild(this.endMarker);l=this.endMarker.offsetLeft-p.offsetLeft;o.removeChild(this.endMarker);if(this.initialSkipBug){o.removeChild(p);o.style.position=k}}}if(n!=null){o.parentNode.HH=n/this.em}return l/this.em},Measured:function(m,l){var n=m.bbox;if(n.width==null&&n.w&&!n.isMultiline){var k=this.getW(m);n.rw+=k-n.w;n.w=k;n.exactW=true}if(!l){l=m.parentNode}if(!l.bbox){l.bbox=n}return m},Remeasured:function(l,k){k.bbox=this.Measured(l,k).bbox},MeasureSpans:function(o){var r=[],t,q,n,u,k,p,l,s;for(q=0,n=o.length;q<n;q++){t=o[q];if(!t){continue}u=t.bbox;s=this.parentNode(t);if(u.exactW||u.width||u.w===0||u.isMultiline){if(!s.bbox){s.bbox=u}continue}if(this.negativeBBoxes||!t.firstChild||(u.w>=0&&!this.initialSkipBug)||(u.w<0&&this.msieNegativeBBoxBug)){r.push([t])}else{if(this.initialSkipBug){k=this.startMarker.cloneNode(true);p=this.endMarker.cloneNode(true);t.insertBefore(k,t.firstChild);t.appendChild(p);r.push([t,k,p,t.style.position]);t.style.position="absolute"}else{p=this.endMarker.cloneNode(true);t.appendChild(p);r.push([t,null,p])}}}for(q=0,n=r.length;q<n;q++){t=r[q][0];u=t.bbox;s=this.parentNode(t);if((u.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!t.firstChild){l=t.offsetWidth;s.HH=s.offsetHeight/this.em}else{if(u.w<0&&this.msieNegativeBBoxBug){l=-t.offsetWidth,s.HH=s.offsetHeight/this.em}else{l=r[q][2].offsetLeft-((r[q][1]||{}).offsetLeft||0)}}l/=this.em;u.rw+=l-u.w;u.w=l;u.exactW=true;if(!s.bbox){s.bbox=u}}for(q=0,n=r.length;q<n;q++){t=r[q];if(t[1]){t[1].parentNode.removeChild(t[1]),t[0].style.position=t[3]}if(t[2]){t[2].parentNode.removeChild(t[2])}}},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(k){k=(Math.round(k*d.em)+0.05)/d.em;if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(k){return parseFloat(k)},Px:function(k){k*=this.em;var l=(k<0?"-":"");return l+Math.abs(k).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(k){return parseFloat(k)/this.em},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(r,l,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===g.SIZE.NORMAL){return 1}if(r===g.SIZE.BIG){return 2}if(r===g.SIZE.SMALL){return 0.71}if(r==="infinity"){return d.BIGDIMEN}var o=this.FONTDATA.TeX_factor;if(r.match(/mathspace$/)){return d.MATHSPACE[r]*o}var n=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1"),q=n[2];if(p==null){p=1}if(l==null){l=1}if(q==="em"){return k*o}if(q==="ex"){return k*d.TeX.x_height*o}if(q==="%"){return k/100*p}if(q==="px"){return k/d.em}if(q==="pt"){return k/10*o}if(q==="pc"){return k*1.2*o}if(q==="in"){return k*this.pxPerInch/d.em}if(q==="cm"){return k*this.pxPerInch/d.em/2.54}if(q==="mm"){return k*this.pxPerInch/d.em/25.4}if(q==="mu"){return k/18*o*l}return k*o*p},thickness2em:function(l,k){var m=d.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(p){var m={top:0,right:0,bottom:0,left:0},n={},l=false;for(var q in m){if(m.hasOwnProperty(q)){var k="border"+q.charAt(0).toUpperCase()+q.substr(1);var o=p.style[k+"Style"];if(o){l=true;m[q]=this.length2em(p.style[k+"Width"]);n[k]=[p.style[k+"Width"],p.style[k+"Style"],p.style[k+"Color"]].join(" ")}}}m.css=n;return(l?m:false)},setBorders:function(k,l){if(l){for(var m in l.css){if(l.css.hasOwnProperty(m)){k.style[m]=l.css[m]}}}},createStrut:function(m,l,n){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:l+"px",width:"1px",marginRight:"-1px"}});if(n){m.insertBefore(k,m.firstChild)}else{m.appendChild(k)}return k},createBlank:function(l,k,m){var n=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(k)}});if(m){l.insertBefore(n,l.firstChild)}else{l.appendChild(n)}return n},createShift:function(l,k,n){var m=this.Element("span",{style:{marginLeft:this.Em(k)},isMathJax:true});if(n){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}return m},createSpace:function(p,n,o,q,m,s){if(n<-o){o=-n}var r=this.Em(n+o),k=this.Em(-o);if(this.msieInlineBlockAlignBug){k=this.Em(d.getHD(p.parentNode).d-o)}if(p.isBox||s){var l=(p.scale==null?1:p.scale);p.bbox={exactW:true,h:n*l,d:o*l,w:q*l,rw:q*l,lw:0};p.style.height=r;p.style.verticalAlign=k;p.HH=(n+o)*l}else{p=this.addElement(p,"span",{style:{height:r,verticalAlign:k},isMathJax:true})}if(q>=0){p.style.width=this.Em(q);p.style.display="inline-block";p.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){p.style.height=""}p.style.marginLeft=this.Em(q);if(d.safariNegativeSpaceBug&&p.parentNode.firstChild==p){this.createBlank(p,0,true)}}if(m&&m!==g.COLOR.TRANSPARENT){p.style.backgroundColor=m;p.style.position="relative"}return p},createRule:function(r,n,p,s,l){if(n<-p){p=-n}var m=d.TeX.min_rule_thickness,o=1;if(s>0&&s*this.em<m){s=m/this.em}if(n+p>0&&(n+p)*this.em<m){o=1/(n+p)*(m/this.em);n*=o;p*=o}if(!l){l="solid"}else{l="solid "+l}l=this.Em(s)+" "+l;var t=(o===1?this.Em(n+p):m+"px"),k=this.Em(-p);var q=this.addElement(r,"span",{style:{borderLeft:l,display:"inline-block",overflow:"hidden",width:0,height:t,verticalAlign:k},bbox:{h:n,d:p,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:n+p,isMathJax:true});if(s>0&&q.offsetWidth==0){q.style.width=this.Em(s)}if(r.isBox||r.className=="mspace"){r.bbox=q.bbox,r.HH=n+p}return q},createFrame:function(s,q,r,u,x,l){if(q<-r){r=-q}var p=2*x;if(this.msieFrameSizeBug){if(u<p){u=p}if(q+r<p){q=p-r}}if(this.msieBorderWidthBug){p=0}var v=this.Em(q+r-p),k=this.Em(-r-x),o=this.Em(u-p);var m=this.Em(x)+" "+l;var n=this.addElement(s,"span",{style:{border:m,display:"inline-block",overflow:"hidden",width:o,height:v},bbox:{h:q,d:r,w:u,rw:u,lw:0,exactW:true},noAdjust:true,HH:q+r,isMathJax:true});if(k){n.style.verticalAlign=k}return n},parentNode:function(l){var k=l.parentNode;if(k.nodeName.toLowerCase()==="a"){k=k.parentNode}return k},createStack:function(m,o,l){if(this.msiePaddingWidthBug){this.createStrut(m,0)}var n=String(l).match(/%$/);var k=(!n&&l!=null?l:0);m=this.addElement(m,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(n?"100%":this.Em(k)),height:0}});if(!o){m.parentNode.bbox=m.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:k,lw:this.BIGDIMEN,rw:(!n&&l!=null?l:-this.BIGDIMEN)};if(n){m.bbox.width=l}}return m},createBox:function(l,k){var m=this.addElement(l,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(k!=null){m.style.width=k}return m},addBox:function(k,l){l.style.position="absolute";l.isBox=l.isMathJax=true;return k.appendChild(l)},placeBox:function(u,s,q,o){u.isMathJax=true;var v=d.parentNode(u),C=u.bbox,z=v.bbox;if(this.msiePlaceBoxBug){this.addText(u,this.NBSP)}if(this.imgSpaceBug){this.addText(u,this.imgSpace)}var w,F=0;if(u.HH!=null){w=u.HH}else{if(C){w=Math.max(3,C.h+C.d)}else{w=u.offsetHeight/this.em}}if(!u.noAdjust){w+=1;w=Math.round(w*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(u,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(w)}})}else{this.addElement(u,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(w)}});if(d.chromeHeightBug){w-=(u.lastChild.offsetHeight-Math.round(w*this.em))/this.em}}}if(C){if(this.initialSkipBug){if(C.lw<0){F=C.lw;d.createBlank(u,-F,true)}if(C.rw>C.w){d.createBlank(u,C.rw-C.w+0.1)}}if(!this.msieClipRectBug&&!C.noclip&&!o){var B=3/this.em;var A=(C.H==null?C.h:C.H),m=(C.D==null?C.d:C.D);var E=w-A-B,p=w+m+B,n=C.lw-3*B,k=1000;if(this.initialSkipBug&&C.lw<0){n=-3*B}if(C.isFixed){k=C.width-n}u.style.clip="rect("+this.Em(E)+" "+this.Em(k)+" "+this.Em(p)+" "+this.Em(n)+")"}}u.style.top=this.Em(-q-w);u.style.left=this.Em(s+F);if(C&&z){if(C.H!=null&&(z.H==null||C.H+q>z.H)){z.H=C.H+q}if(C.D!=null&&(z.D==null||C.D-q>z.D)){z.D=C.D-q}if(C.h+q>z.h){z.h=C.h+q}if(C.d-q>z.d){z.d=C.d-q}if(z.H!=null&&z.H<=z.h){delete z.H}if(z.D!=null&&z.D<=z.d){delete z.D}if(C.w+s>z.w){z.w=C.w+s;if(z.width==null){v.style.width=this.Em(z.w)}}if(C.rw+s>z.rw){z.rw=C.rw+s}if(C.lw+s<z.lw){z.lw=C.lw+s}if(C.width!=null&&!C.isFixed){if(z.width==null){v.style.width=z.width="100%";if(C.minWidth){v.style.minWidth=z.minWidth=C.minWidth}}u.style.width=C.width}}},alignBox:function(n,t,s){this.placeBox(n,0,s);var p=n.bbox;if(p.isMultiline){return}var m=p.width!=null&&!p.isFixed;var o=0,q=-p.w/2,k="50%";if(this.initialSkipBug){o=p.w-p.rw-0.1;q+=p.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(m){q="";k=(50-parseFloat(p.width)/2)+"%"}b.Insert(n.style,({right:{left:"",right:this.Em(o)},center:{left:k,marginLeft:q}})[t])},setStackWidth:function(l,k){if(typeof(k)==="number"){l.style.width=this.Em(Math.max(0,k));var m=l.bbox;if(m){m.w=k;m.exactW=true}m=l.parentNode.bbox;if(m){m.w=k;m.exactW=true}}else{l.style.width=l.parentNode.style.width="100%";if(l.bbox){l.bbox.width=k}if(l.parentNode.bbox){l.parentNode.bbox.width=k}}},createDelimiter:function(u,k,n,q,o){if(!k){u.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};u.bbox.rw=u.bbox.w;this.createSpace(u,u.bbox.h,u.bbox.d,u.bbox.w);return}if(!q){q=1}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){b.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var s=0,p=l.HW.length;s<p;s++){if(l.HW[s][0]*q>=n-0.01||(s==p-1&&!l.stretch)){if(l.HW[s][2]){q*=l.HW[s][2]}if(l.HW[s][3]){k=l.HW[s][3]}var r=this.addElement(u,"span");this.createChar(r,[k,l.HW[s][1]],q,o);u.bbox=r.bbox;u.offset=0.65*u.bbox.w;u.scale=q;return}}if(l.stretch){this["extendDelimiter"+l.dir](u,t,l.stretch,q,o)}},extendDelimiterV:function(A,t,E,F,w){var o=this.createStack(A,true);var v=this.createBox(o),u=this.createBox(o);this.createChar(v,(E.top||E.ext),F,w);this.createChar(u,(E.bot||E.ext),F,w);var m={bbox:{w:0,lw:0,rw:0}},D=m,p;var B=v.bbox.h+v.bbox.d+u.bbox.h+u.bbox.d;var r=-v.bbox.h;this.placeBox(v,0,r,true);r-=v.bbox.d;if(E.mid){D=this.createBox(o);this.createChar(D,E.mid,F,w);B+=D.bbox.h+D.bbox.d}if(E.min&&t<B*E.min){t=B*E.min}if(t>B){m=this.Element("span");this.createChar(m,E.ext,F,w);var C=m.bbox.h+m.bbox.d,l=C-0.05,x,q,z=(E.mid?2:1);q=x=Math.min(Math.ceil((t-B)/(z*l)),this.maxStretchyParts);if(!E.fullExtenders){l=(t-B)/(z*x)}var s=(x/(x+1))*(C-l);l=C-s;r+=s+l-m.bbox.h;while(z-->0){while(x-->0){if(!this.msieCloneNodeBug){p=m.cloneNode(true)}else{p=this.Element("span");this.createChar(p,E.ext,F,w)}p.bbox=m.bbox;r-=l;this.placeBox(this.addBox(o,p),0,r,true)}r+=s-m.bbox.d;if(E.mid&&z){this.placeBox(D,0,r-D.bbox.h,true);x=q;r+=-(D.bbox.h+D.bbox.d)+s+l-m.bbox.h}}}else{r+=(B-t)/2;if(E.mid){this.placeBox(D,0,r-D.bbox.h,true);r+=-(D.bbox.h+D.bbox.d)}r+=(B-t)/2}this.placeBox(u,0,r-u.bbox.h,true);r-=u.bbox.h+u.bbox.d;A.bbox={w:Math.max(v.bbox.w,m.bbox.w,u.bbox.w,D.bbox.w),lw:Math.min(v.bbox.lw,m.bbox.lw,u.bbox.lw,D.bbox.lw),rw:Math.max(v.bbox.rw,m.bbox.rw,u.bbox.rw,D.bbox.rw),h:0,d:-r,exactW:true};A.scale=F;A.offset=0.55*A.bbox.w;A.isMultiChar=true;this.setStackWidth(o,A.bbox.w)},extendDelimiterH:function(B,o,E,G,y){var r=this.createStack(B,true);var p=this.createBox(r),C=this.createBox(r);this.createChar(p,(E.left||E.rep),G,y);this.createChar(C,(E.right||E.rep),G,y);var l=this.Element("span");this.createChar(l,E.rep,G,y);var D={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},m;this.placeBox(p,-p.bbox.lw,0,true);var u=(p.bbox.rw-p.bbox.lw)+(C.bbox.rw-C.bbox.lw)-0.05,t=p.bbox.rw-p.bbox.lw-0.025,v;if(E.mid){D=this.createBox(r);this.createChar(D,E.mid,G,y);u+=D.bbox.w}if(E.min&&o<u*E.min){o=u*E.min}if(o>u){var F=l.bbox.rw-l.bbox.lw,q=F-0.05,z,s,A=(E.mid?2:1);s=z=Math.min(Math.ceil((o-u)/(A*q)),this.maxStretchyParts);if(!E.fillExtenders){q=(o-u)/(A*z)}v=(z/(z+1))*(F-q);q=F-v;t-=l.bbox.lw+v;while(A-->0){while(z-->0){if(!this.cloneNodeBug){m=l.cloneNode(true)}else{m=this.Element("span");this.createChar(m,E.rep,G,y)}m.bbox=l.bbox;this.placeBox(this.addBox(r,m),t,0,true);t+=q}if(E.mid&&A){this.placeBox(D,t,0,true);t+=D.bbox.w-v;z=s}}}else{t-=(u-o)/2;if(E.mid){this.placeBox(D,t,0,true);t+=D.bbox.w}t-=(u-o)/2}this.placeBox(C,t,0,true);B.bbox={w:t+C.bbox.rw,lw:0,rw:t+C.bbox.rw,H:Math.max(p.bbox.h,l.bbox.h,C.bbox.h,D.bbox.h),D:Math.max(p.bbox.d,l.bbox.d,C.bbox.d,D.bbox.d),h:l.bbox.h,d:l.bbox.d,exactW:true};B.scale=G;B.isMultiChar=true;this.setStackWidth(r,B.bbox.w)},createChar:function(s,p,n,k){s.isMathJax=true;var r=s,t="",o={fonts:[p[1]],noRemap:true};if(k&&k===g.VARIANT.BOLD){o.fonts=[p[1]+"-bold",p[1]]}if(typeof(p[1])!=="string"){o=p[1]}if(p[0] instanceof Array){for(var q=0,l=p[0].length;q<l;q++){t+=String.fromCharCode(p[0][q])}}else{t=String.fromCharCode(p[0])}if(p[4]){n*=p[4]}if(n!==1||p[3]){r=this.addElement(s,"span",{style:{fontSize:this.Percent(n)},scale:n,isMathJax:true});this.handleVariant(r,o,t);s.bbox=r.bbox}else{this.handleVariant(s,o,t)}if(p[2]){s.style.marginLeft=this.Em(p[2])}if(p[3]){s.firstChild.style.verticalAlign=this.Em(p[3]);s.bbox.h+=p[3];if(s.bbox.h<0){s.bbox.h=0}}if(p[5]){s.bbox.h+=p[5]}if(p[6]){s.bbox.d+=p[6]}if(this.AccentBug&&s.bbox.w===0){r.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(l,k){k-=l.bbox.h;l.bbox.d-=k;l.bbox.h+=k;if(k){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&l.isMultiChar)){if(l.firstChild.style.display===""&&l.style.top!==""){l=l.firstChild;k-=d.unEm(l.style.top)}l.style.position="relative";l.style.top=this.Em(-k)}else{l.style.verticalAlign=this.Em(k);if(d.ffVerticalAlignBug){d.createRule(l.parentNode,l.bbox.h,0,0)}}}},handleVariant:function(A,p,s){var z="",x,C,t,D,k=A,l=!!A.style.fontFamily;if(s.length===0){return}if(!A.bbox){A.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!p){p=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}D=p;for(var B=0,y=s.length;B<y;B++){p=D;x=s.charCodeAt(B);C=s.charAt(B);if(x>=55296&&x<56319){B++;x=(((x-55296)<<10)+(s.charCodeAt(B)-56320))+65536;if(this.FONTDATA.RemapPlane1){var E=this.FONTDATA.RemapPlane1(x,p);x=E.n;p=E.variant}}else{var u,r,v=this.FONTDATA.RANGES;for(u=0,r=v.length;u<r;u++){if(v[u].name==="alpha"&&p.noLowerCase){continue}var q=p["offset"+v[u].offset];if(q&&x>=v[u].low&&x<=v[u].high){if(v[u].remap&&v[u].remap[x]){x=q+v[u].remap[x]}else{x=x-v[u].low+q;if(v[u].add){x+=v[u].add}}if(p["variant"+v[u].offset]){p=this.FONTDATA.VARIANT[p["variant"+v[u].offset]]}break}}}if(p.remap&&p.remap[x]){if(p.remap[x] instanceof Array){var o=p.remap[x];x=o[0];p=this.FONTDATA.VARIANT[o[1]]}else{if(typeof(p.remap[x])==="string"){s=p.remap[x]+s.substr(B+1);B=0;y=s.length;x=s.charCodeAt(0)}else{x=p.remap[x];if(p.remap.variant){p=this.FONTDATA.VARIANT[p.remap.variant]}}}}if(this.FONTDATA.REMAP[x]&&!p.noRemap){x=this.FONTDATA.REMAP[x];if(x instanceof Array){p=this.FONTDATA.VARIANT[x[1]];x=x[0]}if(typeof(x)==="string"){s=x+s.substr(B+1);B=0;y=s.length;x=x.charCodeAt(0)}}t=this.lookupChar(p,x);C=t[x];if(l||(!this.checkFont(t,k.style)&&!C[5].img)){if(z.length){this.addText(k,z);z=""}var w=!!k.style.fontFamily||!!A.style.fontStyle||!!A.style.fontWeight||!t.directory||l;l=false;if(k!==A){w=!this.checkFont(t,A.style);k=A}if(w){k=this.addElement(A,"span",{isMathJax:true,subSpan:true})}this.handleFont(k,t,k!==A)}z=this.handleChar(k,t,C,x,z);if(!(C[5]||{}).space){if(C[0]/1000>A.bbox.h){A.bbox.h=C[0]/1000}if(C[1]/1000>A.bbox.d){A.bbox.d=C[1]/1000}}if(A.bbox.w+C[3]/1000<A.bbox.lw){A.bbox.lw=A.bbox.w+C[3]/1000}if(A.bbox.w+C[4]/1000>A.bbox.rw){A.bbox.rw=A.bbox.w+C[4]/1000}A.bbox.w+=C[2]/1000}if(z.length){this.addText(k,z)}if(A.scale&&A.scale!==1){A.bbox.h*=A.scale;A.bbox.d*=A.scale;A.bbox.w*=A.scale;A.bbox.lw*=A.scale;A.bbox.rw*=A.scale}if(s.length==1&&t.skew&&t.skew[x]){A.bbox.skew=t.skew[x]}},checkFont:function(k,l){var m=(l.fontWeight||"normal");if(m.match(/^\d+$/)){m=(parseInt(m)>=600?"bold":"normal")}return(k.family.replace(/'/g,"")===l.fontFamily.replace(/'/g,"")&&(k.style||"normal")===(l.fontStyle||"normal")&&(k.weight||"normal")===m)},handleFont:function(m,k,o){m.style.fontFamily=k.family;if(!k.directory){m.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&k.isWebFont)){var l=k.style||"normal",n=k.weight||"normal";if(l!=="normal"||o){m.style.fontStyle=l}if(n!=="normal"||o){m.style.fontWeight=n}}},handleChar:function(l,k,s,r,q){var p=s[5];if(p.space){if(q.length){this.addText(l,q)}d.createShift(l,s[2]/1000);return""}if(p.img){return this.handleImg(l,k,s,r,q)}if(p.isUnknown&&this.FONTDATA.DELIMITERS[r]){if(q.length){this.addText(l,q)}var o=l.scale;d.createDelimiter(l,r,0,1,k);if(this.FONTDATA.DELIMITERS[r].dir==="V"){l.style.verticalAlign=this.Em(l.bbox.d);l.bbox.h+=l.bbox.d;l.bbox.d=0}l.scale=o;s[0]=l.bbox.h*1000;s[1]=l.bbox.d*1000;s[2]=l.bbox.w*1000;s[3]=l.bbox.lw*1000;s[4]=l.bbox.rw*1000;return""}if(p.c==null){if(r<=65535){p.c=String.fromCharCode(r)}else{var m=r-65536;p.c=String.fromCharCode((m>>10)+55296)+String.fromCharCode((m&1023)+56320)}}if(p.rfix){this.addText(l,q+p.c);d.createShift(l,p.rfix/1000);return""}if(s[2]||!this.msieAccentBug||q.length){return q+p.c}d.createShift(l,s[3]/1000);d.createShift(l,(s[4]-s[3])/1000);this.addText(l,p.c);d.createShift(l,-s[4]/1000);return""},handleImg:function(l,k,p,o,m){return m},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]]);r[q[o]].name=q[o]}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){if(l[s].length===5){l[s][5]={}}if(d.allowWebFonts&&!l.available){this.loadWebFont(l)}else{return l}}else{this.findBlock(l,s)}}return this.unknownChar(p,s)},unknownChar:function(k,m){var l=(k.defaultFont||{family:d.config.undefinedFamily});if(k.bold){l.weight="bold"}if(k.italic){l.style="italic"}if(!l[m]){l[m]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",m,k]);return l},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(l){var k=MathJax.Callback.Queue();k.Push(["Require",h,this.fontDir+"/"+l]);if(this.imgFonts){if(!MathJax.isPacked){l=l.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}k.Push(["Require",h,this.webfontDir+"/png/"+l])}b.RestartAfter(k.Push({}))},loadWebFont:function(k){k.available=k.isWebFont=true;if(d.FontFaceBug){k.family=k.name;if(d.msieFontCSSBug){k.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(k))},loadWebFontError:function(l,k){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");l.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);h.Require(this.directory+"/imageFonts.js",k)}else{this.allowWebFonts=false;k()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.type!="mrow"){o=this.HTMLhandleSize(o)}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o)}}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}if(this.HTMLlineBreaks(o)){o=this.HTMLmultiline(o)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){g.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(q,p,o,k){if(o==null){o=0}if(k==null){k=this.data.length}var n=q.bbox={exactW:true},r=[];while(o<k){var l=this.data[o];if(!l){continue}if(!p&&l.HTMLcanStretch("Vertical")){r.push(l);l=(l.CoreMO()||l)}this.HTMLcombineBBoxes(l,n);o++}this.HTMLcleanBBox(n);return r},HTMLcombineBBoxes:function(k,l){if(l.w==null){this.HTMLemptyBBox(l)}var n=(k.bbox?k:k.HTMLspanElement());if(!n||!n.bbox){return}var m=n.bbox;if(m.d>l.d){l.d=m.d}if(m.h>l.h){l.h=m.h}if(m.D!=null&&m.D>l.D){l.D=m.D}if(m.H!=null&&m.H>l.H){l.H=m.H}if(n.style.paddingLeft){l.w+=d.unEm(n.style.paddingLeft)*(n.scale||1)}if(l.w+m.lw<l.lw){l.lw=l.w+m.lw}if(l.w+m.rw>l.rw){l.rw=l.w+m.rw}l.w+=m.w;if(n.style.paddingRight){l.w+=d.unEm(n.style.paddingRight)*(n.scale||1)}if(m.width){l.width=m.width;l.minWidth=m.minWidth}if(m.ic){l.ic=m.ic}else{delete l.ic}if(l.exactW&&!m.exactW){delete l.exactW}},HTMLemptyBBox:function(k){k.h=k.d=k.H=k.D=k.rw=-d.BIGDIMEN;k.w=0;k.lw=d.BIGDIMEN;return k},HTMLcleanBBox:function(k){if(k.h===this.BIGDIMEN){k.h=k.d=k.H=k.D=k.w=k.rw=k.lw=0}if(k.D<=k.d){delete k.D}if(k.H<=k.h){delete k.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(l){if(this.isEmbellished()){var k=this.Core();if(k&&k!==this){return k.HTMLcanStretch(l)}}return false},HTMLstretchH:function(l,k){return this.HTMLspanElement()},HTMLstretchV:function(l,k,m){return this.HTMLspanElement()},HTMLnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},HTMLmeasureChild:function(l,k){if(this.data[l]){d.Measured(this.data[l].toHTML(k),k)}else{k.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(l,k){if(!this.data[l]){this.SetData(l,g.mrow())}return this.data[l].toHTML(k)},HTMLcreateSpan:function(k){if(this.spanID){var l=this.HTMLspanElement();if(l&&(l.parentNode===k||(l.parentNode||{}).parentNode===k)){while(l.firstChild){l.removeChild(l.firstChild)}l.bbox=this.HTMLzeroBBox();l.scale=1;l.isMultChar=l.HH=null;l.style.cssText="";return l}}if(this.href){k=d.addElement(k,"a",{href:this.href,isMathJax:true})}k=d.addElement(k,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){k.style.display="inline-block"}if(this["class"]){k.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}k.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;k.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){k.style.cssText=this.style;if(k.style.fontSize){this.mathsize=k.style.fontSize;k.style.fontSize=""}this.styles={border:d.getBorders(k),padding:d.getPadding(k)};if(this.styles.border){k.style.border=""}if(this.styles.padding){k.style.padding=""}}if(this.href){k.parentNode.bbox=k.bbox}return k},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(l,k,m){d.handleVariant(l,k,m)},HTMLhandleSize:function(k){if(!k.scale){k.scale=this.HTMLgetScale();if(k.scale!==1){k.style.fontSize=d.Percent(k.scale)}}return k},HTMLhandleDir:function(l){var k=this.Get("dir",true);if(k){l.dir=k}return l},HTMLhandleColor:function(w){var y=this.getValues("mathcolor","color");if(this.mathbackground){y.mathbackground=this.mathbackground}if(this.background){y.background=this.background}if(this.style&&w.style.backgroundColor){y.mathbackground=w.style.backgroundColor;w.style.backgroundColor="transparent"}var t=(this.styles||{}).border,v=(this.styles||{}).padding;if(y.color&&!this.mathcolor){y.mathcolor=y.color}if(y.background&&!this.mathbackground){y.mathbackground=y.background}if(y.mathcolor){w.style.color=y.mathcolor}if((y.mathbackground&&y.mathbackground!==g.COLOR.TRANSPARENT)||t||v){var A=w.bbox,z=(A.exact?0:1/d.em),u=0,s=0,m=w.style.paddingLeft,q=w.style.paddingRight;if(this.isToken){u=A.lw;s=A.rw-A.w}if(m!==""){u+=d.unEm(m)*(w.scale||1)}if(q!==""){s-=d.unEm(q)*(w.scale||1)}var l=(d.PaddingWidthBug||A.keepPadding||A.exactW?0:s-u);var o=Math.max(0,d.getW(w)+l);var x=A.h+A.d,k=-A.d,r=0,p=0;if(o>0){o+=2*z;u-=z}if(x>0){x+=2*z;k-=z}s=-o-u;if(t){s-=t.right;k-=t.bottom;r+=t.left;p+=t.right;A.h+=t.top;A.d+=t.bottom;A.w+=t.left+t.right;A.lw-=t.left;A.rw+=t.right}if(v){x+=v.top+v.bottom;o+=v.left+v.right;s-=v.right;k-=v.bottom;r+=v.left;p+=v.right;A.h+=v.top;A.d+=v.bottom;A.w+=v.left+v.right;A.lw-=v.left;A.rw+=v.right}if(p){w.style.paddingRight=d.Em(p)}var n=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:y.mathbackground,width:d.Em(o),height:d.Em(x),verticalAlign:d.Em(k),marginLeft:d.Em(u),marginRight:d.Em(s)}});d.setBorders(n,t);if(A.width){n.style.width=A.width;n.style.marginRight="-"+A.width}if(d.msieInlineBlockAlignBug){n.style.position="relative";n.style.width=n.style.height=0;n.style.verticalAlign=n.style.marginLeft=n.style.marginRight="";n.style.border=n.style.padding="";if(t&&d.msieBorderWidthBug){x+=t.top+t.bottom;o+=t.left+t.right}n.style.width=d.Em(r+z);d.placeBox(d.addElement(n,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(y.mathbackground||"transparent"),width:d.Em(o),height:d.Em(x)}}),u,A.h+z);d.setBorders(n.firstChild,t)}w.parentNode.insertBefore(n,w);if(d.msieColorPositionBug){w.style.position="relative"}return n}return null},HTMLremoveColor:function(){var k=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(k){k.parentNode.removeChild(k)}},HTMLhandleSpace:function(o){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.HTMLgetMu(o);m.lspace=Math.max(0,d.length2em(m.lspace,l));m.rspace=Math.max(0,d.length2em(m.rspace,l));var k=this,n=this.Parent();while(n&&n.isEmbellished()&&n.Core()===k){k=n;n=n.Parent();o=k.HTMLspanElement()}if(m.lspace){o.style.paddingLeft=d.Em(m.lspace)}if(m.rspace){o.style.paddingRight=d.Em(m.rspace)}}}else{var p=this.texSpacing();if(p!==""){p=d.length2em(p,this.HTMLgetScale())/(o.scale||1);if(o.style.paddingLeft){p+=d.unEm(o.style.paddingLeft)}o.style.paddingLeft=d.Em(p)}}},HTMLgetScale:function(){var m=1,k=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var l=this.HTMLspanElement();if(l.style.fontSize!=""){k.fontsize=l.style.fontSize}}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}m=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=d.length2em(this.Get("scriptminsize"));if(m<k.scriptminsize){m=k.scriptminsize}}if(this.isToken){m*=d.length2em(k.mathsize)}return m},HTMLgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},HTMLgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.style){var m=this.HTMLspanElement();if(!k.family&&m.style.fontFamily){k.family=m.style.fontFamily}if(!k.weight&&m.style.fontWeight){k.weight=m.style.fontWeight}if(!k.style&&m.style.fontStyle){k.style=m.style.fontStyle}}if(k.weight&&k.weight.match(/^\d+$/)){k.weight=(parseInt(k.weight)>600?"bold":"normal")}var l=k.mathvariant;if(this.variantForm){l="-"+d.fontInUse+"-variant"}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:k.family,style:k.style,weight:k.weight}}}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}if(!(l in d.FONTDATA.VARIANT)){l="normal"}return d.FONTDATA.VARIANT[l]}},{HTMLautoload:function(){var k=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(h.Require(k))},HTMLautoloadFile:function(k){var l=d.autoloadDir+"/"+k+".js";b.RestartAfter(h.Require(l))},HTMLstretchH:function(l,k){this.HTMLremoveColor();return this.toHTML(l,k)},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();return this.toHTML(l,k,m)}});g.chars.Augment({toHTML:function(n,m,l,o){var r=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.entity.Augment({toHTML:function(n,m,l,o){var r=this.toString().replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.mi.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}var q=this.data.join(""),p=o.bbox;if(p.skew&&q.length!==1){delete p.skew}if(p.rw>p.w&&q.length===1&&!n.noIC){p.ic=p.rw-p.w;d.createBlank(o,p.ic);p.w=p.rw}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mn.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mo.Augment({toHTML:function(u){u=this.HTMLhandleSize(this.HTMLcreateSpan(u));if(this.data.length==0){return u}else{u.bbox=null}var x=this.data.join("");var q=this.HTMLgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){q=d.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var v=this.CoreParent(),o=(v&&v.isa(g.msubsup)&&this!==v.data[v.base]),l=(o?this.HTMLremapChars:null);if(x.length===1&&v&&v.isa(g.munderover)&&this.CoreText(v.data[v.base]).length===1){var s=v.data[v.over],t=v.data[v.under];if(s&&this===s.CoreMO()&&v.Get("accent")){l=d.FONTDATA.REMAPACCENT}else{if(t&&this===t.CoreMO()&&v.Get("accentunder")){l=d.FONTDATA.REMAPACCENTUNDER}}}if(o&&x.match(/['`"\u00B4\u2032-\u2037\u2057]/)){q=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var r=0,n=this.data.length;r<n;r++){if(this.data[r]){this.data[r].toHTML(u,q,this.HTMLremap,l)}}if(!u.bbox){u.bbox=this.HTMLzeroBBox()}if(x.length!==1){delete u.bbox.skew}if(d.AccentBug&&u.bbox.w===0&&x.length===1&&u.firstChild){u.firstChild.nodeValue+=d.NBSP;d.createSpace(u,0,0,-u.offsetWidth/d.em)}if(w.largeop){var k=(u.bbox.h-u.bbox.d)/2-d.TeX.axis_height*u.scale;if(d.safariVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.lastChild.style.verticalAlign=d.Em(d.unEm(u.lastChild.style.verticalAlign||0)/d.em-k/u.scale)}else{if(d.konquerorVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.style.position="relative";u.lastChild.style.position="relative";u.lastChild.style.top=d.Em(k/u.scale)}else{u.style.verticalAlign=d.Em(-k/u.scale)}}u.bbox.h-=k;u.bbox.d+=k;if(u.bbox.rw>u.bbox.w){u.bbox.ic=u.bbox.rw-u.bbox.w;d.createBlank(u,u.bbox.ic);u.bbox.w=u.bbox.rw}}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);this.HTMLhandleDir(u);return u},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while((k.isa(g.mrow)||k.isa(g.TeXAtom)||k.isa(g.mstyle)||k.isa(g.mphantom))&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},HTMLcanStretch:function(n){if(!this.Get("stretchy")){return false}var o=this.data.join("");if(o.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var m=l.data[l.over],k=l.data[l.under];if(m&&this===m.CoreMO()&&l.Get("accent")){o=d.FONTDATA.REMAPACCENT[o]||o}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER[o]||o}}}o=d.FONTDATA.DELIMITERS[o.charCodeAt(0)];return(o&&o.dir==n.substr(0,1))},HTMLstretchV:function(m,n,o){this.HTMLremoveColor();var r=this.getValues("symmetric","maxsize","minsize");var p=this.HTMLspanElement(),s=this.HTMLgetMu(p),q;var k=d.TeX.axis_height,l=p.scale;if(r.symmetric){q=2*Math.max(n-k,o+k)}else{q=n+o}r.maxsize=d.length2em(r.maxsize,s,p.bbox.h+p.bbox.d);r.minsize=d.length2em(r.minsize,s,p.bbox.h+p.bbox.d);q=Math.max(r.minsize,Math.min(r.maxsize,q));p=this.HTMLcreateSpan(m);d.createDelimiter(p,this.data.join("").charCodeAt(0),q,l);if(r.symmetric){q=(p.bbox.h+p.bbox.d)/2+k}else{q=(p.bbox.h+p.bbox.d)*n/(n+o)}d.positionDelimiter(p,q);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p},HTMLstretchH:function(o,k){this.HTMLremoveColor();var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}var n=this.HTMLspanElement(),l=this.HTMLgetMu(n),p=n.scale;m.maxsize=d.length2em(m.maxsize,l,n.bbox.w);m.minsize=d.length2em(m.minsize,l,n.bbox.w);k=Math.max(m.minsize,Math.min(m.maxsize,k));n=this.HTMLcreateSpan(o);d.createDelimiter(n,this.data.join("").charCodeAt(0),k,p,m.mathvariant);this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});g.mtext.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));var n=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){n={bold:n.bold,italic:n.italic,fontInherit:true}}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.merror.Augment({toHTML:function(l){var n=MathJax.HTML.addElement(l,"span",{style:{display:"inline-block"}});l=this.SUPER(arguments).toHTML.call(this,n);var m=d.getHD(n),k=d.getW(n);n.bbox={h:m.h,d:m.d,w:k,lw:0,rw:k,exactW:true};n.id=l.id;l.id=null;return n}});g.ms.Augment({toHTML:g.mbase.HTMLautoload});g.mglyph.Augment({toHTML:g.mbase.HTMLautoload});g.mspace.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);var m=this.getValues("height","depth","width");var l=this.HTMLgetMu(o);m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var n=d.length2em(m.height,l),p=d.length2em(m.depth,l),k=d.length2em(m.width,l);d.createSpace(o,n,p,k,m.mathbackground,true);return o}});g.mphantom.Augment({toHTML:function(o,l,q){o=this.HTMLcreateSpan(o);if(this.data[0]!=null){var p=this.data[0].toHTML(o);if(q!=null){d.Remeasured(this.data[0].HTMLstretchV(o,l,q),o)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(o,l),o)}else{p=d.Measured(p,o)}}o.bbox={w:p.bbox.w,h:p.bbox.h,d:p.bbox.d,lw:0,rw:0,exactW:true};for(var n=0,k=o.childNodes.length;n<k;n++){o.childNodes[n].style.visibility="hidden"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mpadded.Augment({toHTML:function(s,m,k){s=this.HTMLcreateSpan(s);if(this.data[0]!=null){var q=d.createStack(s,true);var n=d.createBox(q);var l=this.data[0].toHTML(n);if(k!=null){d.Remeasured(this.data[0].HTMLstretchV(n,m,k),n)}else{if(m!=null){d.Remeasured(this.data[0].HTMLstretchH(n,m),n)}else{d.Measured(l,n)}}var t=this.getValues("height","depth","width","lspace","voffset"),r=0,p=0,u=this.HTMLgetMu(s);if(t.lspace){r=this.HTMLlength2em(n,t.lspace,u)}if(t.voffset){p=this.HTMLlength2em(n,t.voffset,u)}d.placeBox(n,r,p);s.bbox={h:n.bbox.h,d:n.bbox.d,w:n.bbox.w,exactW:true,lw:Math.min(0,n.bbox.lw+r),rw:Math.max(n.bbox.w,n.bbox.rw+r),H:Math.max((n.bbox.H==null?-d.BIGDIMEN:n.bbox.H),n.bbox.h+p),D:Math.max((n.bbox.D==null?-d.BIGDIMEN:n.bbox.D),n.bbox.d-p)};if(t.height!==""){s.bbox.h=this.HTMLlength2em(n,t.height,u,"h",0)}if(t.depth!==""){s.bbox.d=this.HTMLlength2em(n,t.depth,u,"d",0)}if(t.width!==""){s.bbox.w=this.HTMLlength2em(n,t.width,u,"w",0)}if(s.bbox.H<=s.bbox.h){delete s.bbox.H}if(s.bbox.D<=s.bbox.d){delete s.bbox.D}var o=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;s.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||o.exec(t.height)||o.exec(t.width)||o.exec(t.depth));d.setStackWidth(q,s.bbox.w)}this.HTMLhandleSpace(s);this.HTMLhandleColor(s);return s},HTMLlength2em:function(q,r,l,s,k){if(k==null){k=-d.BIGDIMEN}var o=String(r).match(/width|height|depth/);var p=(o?q.bbox[o[0].charAt(0)]:(s?q.bbox[s]:0));var n=d.length2em(r,l,p);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,q.bbox[s]+n)}else{return n}},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mrow.Augment({HTMLlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&k.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(m,k){this.HTMLremoveColor();var l=this.HTMLspanElement();this.data[this.core].HTMLstretchH(l,k);this.HTMLcomputeBBox(l,true);this.HTMLhandleColor(l);return l},HTMLstretchV:function(m,l,n){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchV(k,l,n);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k}});g.mstyle.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mfrac.Augment({toHTML:function(D){D=this.HTMLcreateSpan(D);var m=d.createStack(D);var r=d.createBox(m),o=d.createBox(m);d.MeasureSpans([this.HTMLboxChild(0,r),this.HTMLboxChild(1,o)]);var k=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var I=this.HTMLgetScale(),C=k.displaystyle;var G=d.TeX.axis_height*I;if(k.bevelled){var F=(C?0.4:0.15);var s=Math.max(r.bbox.h+r.bbox.d,o.bbox.h+o.bbox.d)+2*F;var E=d.createBox(m);d.createDelimiter(E,47,s);d.placeBox(r,0,(r.bbox.d-r.bbox.h)/2+G+F);d.placeBox(E,r.bbox.w-F/2,(E.bbox.d-E.bbox.h)/2+G);d.placeBox(o,r.bbox.w+E.bbox.w-F,(o.bbox.d-o.bbox.h)/2+G-F)}else{var l=Math.max(r.bbox.w,o.bbox.w);var y=d.thickness2em(k.linethickness,I),A,z,x,w;var B=d.TeX.min_rule_thickness/this.em;if(C){x=d.TeX.num1;w=d.TeX.denom1}else{x=(y===0?d.TeX.num3:d.TeX.num2);w=d.TeX.denom2}x*=I;w*=I;if(y===0){A=Math.max((C?7:3)*d.TeX.rule_thickness,2*B);z=(x-r.bbox.d)-(o.bbox.h-w);if(z<A){x+=(A-z)/2;w+=(A-z)/2}}else{A=Math.max((C?2:0)*B+y,y/2+1.5*B);z=(x-r.bbox.d)-(G+y/2);if(z<A){x+=A-z}z=(G-y/2)-(o.bbox.h-w);if(z<A){w+=A-z}var n=d.createBox(m);d.createRule(n,y,0,l+2*y);d.placeBox(n,0,G-y/2)}d.alignBox(r,k.numalign,x);d.alignBox(o,k.denomalign,-w)}this.HTMLhandleSpace(D);this.HTMLhandleColor(D);return D},HTMLcanStretch:function(k){return false},HTMLhandleSpace:function(k){if(!this.texWithDelims){var l=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;k.style.paddingLeft=d.Em(l);k.style.paddingRight=d.Em(0.12)}}});g.msqrt.Augment({toHTML:function(w){w=this.HTMLcreateSpan(w);var z=d.createStack(w);var n=d.createBox(z),u=d.createBox(z),s=d.createBox(z);var r=this.HTMLgetScale();var A=d.TeX.rule_thickness*r,m,l,y,o;if(this.Get("displaystyle")){m=d.TeX.x_height*r}else{m=A}l=Math.max(A+m/4,1.5*d.TeX.min_rule_thickness/this.em);var k=this.HTMLboxChild(0,n);y=k.bbox.h+k.bbox.d+l+A;d.createDelimiter(s,8730,y,r);d.MeasureSpans([k,s]);o=k.bbox.w;var v=0;if(s.isMultiChar||(d.AdjustSurd&&d.imgFonts)){s.bbox.w*=0.95}if(s.bbox.h+s.bbox.d>y){l=((s.bbox.h+s.bbox.d)-(y-A))/2}var B=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!B||o<B.HW[0][0]*r||r<0.75){d.createRule(u,0,A,o)}else{d.createDelimiter(u,d.FONTDATA.RULECHAR,o,r)}y=k.bbox.h+l+A;l=y*d.rfuzz;if(s.isMultiChar){l=d.rfuzz}v=this.HTMLaddRoot(z,s,v,s.bbox.h+s.bbox.d-y,r);d.placeBox(s,v,y-s.bbox.h);d.placeBox(u,v+s.bbox.w,y-u.bbox.h+l);d.placeBox(n,v+s.bbox.w,0);this.HTMLhandleSpace(w);this.HTMLhandleColor(w);return w},HTMLaddRoot:function(m,l,k,o,n){return k}});g.mroot.Augment({toHTML:g.msqrt.prototype.toHTML,HTMLaddRoot:function(s,l,q,o,k){var m=d.createBox(s);if(this.data[1]){var p=this.data[1].toHTML(m);p.style.paddingRight=p.style.paddingLeft="";d.Measured(p,m)}else{m.bbox=this.HTMLzeroBBox()}var n=this.HTMLrootHeight(l.bbox.h+l.bbox.d,k,m)-o;var r=Math.min(m.bbox.w,m.bbox.rw);q=Math.max(r,l.offset);d.placeBox(m,q-r,n);return q-l.offset},HTMLrootHeight:function(m,l,k){return 0.45*(m-0.9*l)+0.6*l+Math.max(0,k.bbox.d-0.075)}});g.mfenced.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.data.open){this.data.open.toHTML(o)}if(this.data[0]!=null){this.data[0].toHTML(o)}for(var l=1,k=this.data.length;l<k;l++){if(this.data[l]){if(this.data["sep"+l]){this.data["sep"+l].toHTML(o)}this.data[l].toHTML(o)}}if(this.data.close){this.data.close.toHTML(o)}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLcomputeBBox:function(p,o){var l=p.bbox={},q=[];this.HTMLcheckStretchy(this.data.open,l,q,o);this.HTMLcheckStretchy(this.data[0],l,q,o);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.HTMLcheckStretchy(this.data["sep"+n],l,q,o);this.HTMLcheckStretchy(this.data[n],l,q,o)}}this.HTMLcheckStretchy(this.data.close,l,q,o);this.HTMLcleanBBox(l);return q},HTMLcheckStretchy:function(k,l,n,m){if(k){if(!m&&k.HTMLcanStretch("Vertical")){n.push(k);k=(k.CoreMO()||k)}this.HTMLcombineBBoxes(k,l)}}});g.menclose.Augment({toHTML:g.mbase.HTMLautoload});g.maction.Augment({toHTML:g.mbase.HTMLautoload});g.semantics.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.munderover.Augment({toHTML:function(L,H,F){var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toHTML.call(this,L)}L=this.HTMLcreateSpan(L);var P=this.HTMLgetScale();var q=d.createStack(L);var r=[],o=[],N=[],w,M,I;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M]=d.createBox(q);o[M]=this.data[M].toHTML(w);if(M==this.base){if(F!=null){this.data[this.base].HTMLstretchV(w,H,F)}else{if(H!=null){this.data[this.base].HTMLstretchH(w,H)}}N[M]=(F==null&&H!=null?false:this.data[M].HTMLcanStretch("Horizontal"))}else{N[M]=this.data[M].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(o);var n=-d.BIGDIMEN,K=n;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]){if(r[M].bbox.w>K){K=r[M].bbox.w}if(!N[M]&&K>n){n=K}}}if(F==null&&H!=null){n=H}else{if(n==-d.BIGDIMEN){n=K}}for(M=K=0,I=this.data.length;M<I;M++){if(this.data[M]){w=r[M];if(N[M]){w.bbox=this.data[M].HTMLstretchH(w,n).bbox}if(w.bbox.w>K){K=w.bbox.w}}}var E=d.TeX.rule_thickness,G=d.FONTDATA.TeX_factor;var p=r[this.base]||{bbox:this.HTMLzeroBBox()};var v,s,A,z,u,C,J,O=0;if(p.bbox.ic){O=1.3*p.bbox.ic+0.05}for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M];u=d.TeX.big_op_spacing5*P;var B=(M!=this.base&&l[this.ACCENTS[M]]);if(B&&w.bbox.w<=1/d.em+0.0001){w.bbox.w=w.bbox.rw-w.bbox.lw;w.bbox.noclip=true;if(w.bbox.lw){w.insertBefore(d.createSpace(w.parentNode,0,0,-w.bbox.lw),w.firstChild)}d.createBlank(w,0,0,w.bbox.rw+0.1)}C={left:0,center:(K-w.bbox.w)/2,right:K-w.bbox.w}[l.align];v=C;s=0;if(M==this.over){if(B){J=Math.max(E*P*G,2.5/this.em);u=0;if(p.bbox.skew){v+=p.bbox.skew}}else{A=d.TeX.big_op_spacing1*P*G;z=d.TeX.big_op_spacing3*P*G;J=Math.max(A,z-Math.max(0,w.bbox.d))}J=Math.max(J,1.5/this.em);v+=O/2;s=p.bbox.h+w.bbox.d+J;w.bbox.h+=u}else{if(M==this.under){if(B){J=3*E*P*G;u=0}else{A=d.TeX.big_op_spacing2*P*G;z=d.TeX.big_op_spacing4*P*G;J=Math.max(A,z-w.bbox.h)}J=Math.max(J,1.5/this.em);v-=O/2;s=-(p.bbox.d+w.bbox.h+J);w.bbox.d+=u}}d.placeBox(w,v,s)}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);return L},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.msubsup.Augment({toHTML:function(K,I,C){K=this.HTMLcreateSpan(K);var N=this.HTMLgetScale(),H=this.HTMLgetMu(K);var w=d.createStack(K),l,n=[];var o=d.createBox(w);if(this.data[this.base]){n.push(this.data[this.base].toHTML(o));if(C!=null){this.data[this.base].HTMLstretchV(o,I,C)}else{if(I!=null){this.data[this.base].HTMLstretchH(o,I)}}}else{o.bbox=this.HTMLzeroBBox()}var L=d.TeX.x_height*N,B=d.TeX.scriptspace*N*0.75;var k,x;if(this.HTMLnotEmpty(this.data[this.sup])){k=d.createBox(w);n.push(this.data[this.sup].toHTML(k))}if(this.HTMLnotEmpty(this.data[this.sub])){x=d.createBox(w);n.push(this.data[this.sub].toHTML(x))}d.MeasureSpans(n);if(k){k.bbox.w+=B;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}if(x){x.bbox.w+=B;x.bbox.rw=Math.max(x.bbox.w,x.bbox.rw)}d.placeBox(o,0,0);var m;if(k){m=this.data[this.sup].HTMLgetScale()}else{if(x){m=this.data[this.sub].HTMLgetScale()}else{m=this.HTMLgetScale()}}var F=d.TeX.sup_drop*m,E=d.TeX.sub_drop*m;var z=o.bbox.h-F,y=o.bbox.d+E,M=0,G;if(o.bbox.ic){o.bbox.w-=o.bbox.ic;M=1.3*o.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&o.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=y=0}}var J=this.getValues("subscriptshift","superscriptshift");J.subscriptshift=(J.subscriptshift===""?0:d.length2em(J.subscriptshift,H));J.superscriptshift=(J.superscriptshift===""?0:d.length2em(J.superscriptshift,H));if(!k){if(x){y=Math.max(y,d.TeX.sub1*N,x.bbox.h-(4/5)*L,J.subscriptshift);d.placeBox(x,o.bbox.w,-y,x.bbox)}}else{if(!x){l=this.getValues("displaystyle","texprimestyle");G=d.TeX[(l.displaystyle?"sup1":(l.texprimestyle?"sup3":"sup2"))];z=Math.max(z,G*N,k.bbox.d+(1/4)*L,J.superscriptshift);d.placeBox(k,o.bbox.w+M,z,k.bbox)}else{y=Math.max(y,d.TeX.sub2*N);var A=d.TeX.rule_thickness*N;if((z-k.bbox.d)-(x.bbox.h-y)<3*A){y=3*A-z+k.bbox.d+x.bbox.h;F=(4/5)*L-(z-k.bbox.d);if(F>0){z+=F;y-=F}}d.placeBox(k,o.bbox.w+M,Math.max(z,J.superscriptshift));d.placeBox(x,o.bbox.w,-Math.max(y,J.subscriptshift))}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mmultiscripts.Augment({toHTML:g.mbase.HTMLautoload});g.mtable.Augment({toHTML:g.mbase.HTMLautoload});g["annotation-xml"].Augment({toHTML:g.mbase.HTMLautoload});g.math.Augment({toHTML:function(u,l){var r=this.Get("alttext");if(r&&r!==""){l.setAttribute("aria-label",r)}var m=d.addElement(u,"nobr",{isMathJax:true});u=this.HTMLcreateSpan(m);var s=d.createStack(u),n=d.createBox(s),t;s.style.fontSize=m.parentNode.style.fontSize;m.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}g.mbase.prototype.displayAlign=b.config.displayAlign;g.mbase.prototype.displayIndent=b.config.displayIndent;var o=this.data[0].toHTML(n);o.bbox.exactW=false;t=d.Measured(o,n)}d.placeBox(n,0,0);u.style.width=d.Em((Math.round(t.bbox.w*this.em)+0.25)/d.outerEm);u.style.display="inline-block";var k=1/d.em,q=d.em/d.outerEm;d.em/=q;u.bbox.h*=q;u.bbox.d*=q;u.bbox.w*=q;u.bbox.lw*=q;u.bbox.rw*=q;if(t&&t.bbox.width!=null){u.style.minWidth=(t.bbox.minWidth||u.style.width);u.style.width=s.style.width=t.bbox.width;n.style.width="100%"}this.HTMLhandleColor(u);if(t){d.createRule(u,(t.bbox.h+k)*q,(t.bbox.d+k)*q,0)}if(!this.isMultiline&&this.Get("display")==="block"&&u.bbox.width==null){var v=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(v.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){v.indentalign=v.indentalignfirst}if(v.indentalign===g.INDENTALIGN.AUTO){v.indentalign=this.displayAlign}l.style.textAlign=v.indentalign;if(v.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){v.indentshift=v.indentshiftfirst}if(v.indentshift==="auto"){v.indentshift=this.displayIndent}if(v.indentshift&&v.indentalign!==g.INDENTALIGN.CENTER){u.style[{left:"marginLeft",right:"marginRight"}[v.indentalign]]=d.Em(d.length2em(v.indentshift))}}return u},HTMLspanElement:g.mbase.prototype.HTMLspanElement});g.TeXAtom.Augment({toHTML:function(l){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){if(this.texClass===g.TEXCLASS.VCENTER){var k=d.createStack(l);var m=d.createBox(k);d.Measured(this.data[0].toHTML(m),m);d.placeBox(m,0,d.TeX.axis_height-(m.bbox.h+m.bbox.d)/2+m.bbox.d)}else{l.bbox=this.data[0].toHTML(l).bbox}}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(k){var o=(document.documentMode||0);var n=k.versionAtLeast("7.0");var m=k.versionAtLeast("8.0")&&o>7;var l=(document.compatMode==="BackCompat");if(o<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:l,msieDisappearingBug:(o>=8),msieMarginScaleBug:(o<8),msiePaddingWidthBug:true,msieBorderWidthBug:l,msieFrameSizeBug:(o<=8),msieInlineBlockAlignBug:(!m||l),msiePlaceBoxBug:(m&&!l),msieClipRectBug:!m,msieNegativeSpaceBug:l,cloneNodeBug:(m&&k.version==="8.0"),initialSkipBug:(o<8),msieNegativeBBoxBug:(o>=8),msieIE6:!n,msieItalicWidthBug:true,FontFaceBug:true,msieFontCSSBug:k.isIE9,allowWebFonts:(o>=9?"woff":"eot")})},Firefox:function(l){var m=false;if(l.versionAtLeast("3.5")){var k=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,k.length)===k){m="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:m})},Safari:function(p){var n=p.versionAtLeast("3.0");var m=p.versionAtLeast("3.1");var k=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var l=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var q=(m&&p.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!p.versionAtLeast("5.0"))||(l!=null&&(l[1]<2||(l[1]==2&&l[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!m,safariTextNodeBug:!n,forceReflow:true,allowWebFonts:(m&&!q?"otf":false)});if(k){d.Augment({webFontDefault:(p.isMobile?"sans-serif":"serif")})}if(p.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(q){var o=b.config["HTML-CSS"];if(o){o.availableFonts=[];o.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(k){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(k.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(k){k.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:k.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(k.versionAtLeast("10.0")&&!k.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(k){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aJ=K.width.match(/%$/);var ay=b.createStack(t);var aG=this.HTMLgetScale(),aA=this.HTMLgetMu(t),aB=-1;var aq=[],au=[],ak=[],aw=[],av=[],af,ae,ap=-1,ad,ao,Z,aF,R,aC,aO=[];var al=b.FONTDATA.baselineskip*aG*K.useHeight,aT,I=b.FONTDATA.lineH*aG,O=b.FONTDATA.lineD*aG;for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);aw[af]=[];aq[af]=au[af]=0;for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){if(ak[ae]==null){if(ae>ap){ap=ae}av[ae]=b.createStack(b.createBox(ay));ak[ae]=-b.BIGDIMEN}aw[af][ae]=b.createBox(av[ae]);aO.push(aF.data[ae-Z].toHTML(aw[af][ae]))}}b.MeasureSpans(aO);for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){R=aF.data[ae-Z];if(R.isMultiline){aw[af][ae].style.width="100%"}if(R.isEmbellished()){aC=R.CoreMO();var aS=aC.Get("minsize",true);if(aS){var aL=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aT=aL.h+aL.d;if(aT){aS=b.length2em(aS,aA,aT);if(aS*aL.h/aT>aq[af]){aq[af]=aS*aL.h/aT}if(aS*aL.d/aT>au[af]){au[af]=aS*aL.d/aT}}}else{if(aC.HTMLcanStretch("Horizontal")){aS=b.length2em(aS,aA,aL.w);if(aS>ak[ae]){ak[ae]=aS}}}}}if(aw[af][ae].bbox.h>aq[af]){aq[af]=aw[af][ae].bbox.h}if(aw[af][ae].bbox.d>au[af]){au[af]=aw[af][ae].bbox.d}if(aw[af][ae].bbox.w>ak[ae]){ak[ae]=aw[af][ae].bbox.w}}}if(aq[0]+au[0]){aq[0]=Math.max(aq[0],I)}if(aq[aw.length-1]+au[aw.length-1]){au[aw.length-1]=Math.max(au[aw.length-1],O)}var aE=MathJax.Hub.SplitList;var az=aE(K.columnspacing),aQ=aE(K.rowspacing),e=aE(K.columnalign),E=aE(K.rowalign),d=aE(K.columnlines),z=aE(K.rowlines),aM=aE(K.columnwidth),V=[];for(af=0,ad=az.length;af<ad;af++){az[af]=b.length2em(az[af],aA)}for(af=0,ad=aQ.length;af<ad;af++){aQ[af]=b.length2em(aQ[af],aA)}while(az.length<ap){az.push(az[az.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aM.length<=ap){aM.push(aM[aM.length-1])}while(aQ.length<aw.length){aQ.push(aQ[aQ.length-1])}while(E.length<=aw.length){E.push(E[E.length-1])}while(z.length<aw.length){z.push(z[z.length-1])}if(av[aB]){e[aB]=(K.side.substr(0,1)==="l"?"left":"right");az[aB]=-ak[aB]}for(af=0,ad=aw.length;af<ad;af++){aF=this.data[af];V[af]=[];if(aF.rowalign){E[af]=aF.rowalign}if(aF.columnalign){V[af]=aE(aF.columnalign);while(V[af].length<=ap){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aD=Math.max.apply(Math,aq),X=Math.max.apply(Math,au);for(af=0,ad=aw.length;af<ad;af++){Z=((aD+X)-(aq[af]+au[af]))/2;aq[af]+=Z;au[af]+=Z}}aT=aq[0]+au[aw.length-1];for(af=0,ad=aw.length-1;af<ad;af++){aT+=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}var aI=0,aH=0,aV,g=aT;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aE(K.framespacing);if(w.length!=2){w=aE(this.defaults.framespacing)}aI=b.length2em(w[0],aA);aH=b.length2em(w[1],aA);g=aT+2*aH}var aj,aU,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=aw.length+1+ab}if(ab<1){ab=1}else{if(ab>aw.length){ab=aw.length}}aj=0;aU=-(aT+aH)+aq[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af]);aj+=N;aU+=N}}else{aj=({top:-(aq[0]+aH),bottom:aT+aH-aq[0],center:aT/2-aq[0],baseline:aT/2-aq[0],axis:aT/2+b.TeX.axis_height*aG-aq[0]})[K.align];aU=({top:-(aT+2*aH),bottom:0,center:-(aT/2+aH),baseline:-(aT/2+aH),axis:b.TeX.axis_height*aG-aT/2-aH})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,an=[],at=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aJ){ac=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){aM[af]=ac}ac=0;ag=1;ah=ap+1;for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac+=az[af]}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}ac/=ap+1;for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){if(aM[af]==="auto"){B+=ak[af]}else{if(aM[af]==="fit"){at[ah]=af;ah++;B+=ak[af]}else{if(aM[af].match(/%$/)){an[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aM[af],aA,1)}else{ak[af]=b.length2em(aM[af],aA);B+=ak[af]}}}}if(aJ){ac=0;for(af=0,ad=Math.min(ap,az.length);af<ad;af++){ac+=az[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}}for(af=0,ad=an.length;af<ad;af++){ak[an[af]]=b.length2em(aM[an[af]],aA,ac*S);B+=ak[an[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=at.length;af<ad;af++){ak[at[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ap;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ap;ae++){ak[ae]=Q}}}}var T=aj,o,r,aR;Z=(av[aB]?aB:0);for(ae=Z;ae<=ap;ae++){for(af=0,ad=aw.length;af<ad;af++){if(aw[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aB:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){aw[af][ae].bbox=R.HTMLstretchH(av[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aC=R.CoreMO();var aK=aC.symmetric;aC.symmetric=false;aw[af][ae].bbox=R.HTMLstretchV(av[ae],aq[af],au[af]).bbox;aw[af][ae].HH=null;aC.symmetric=aK}}aR=R.rowalign||this.data[af].rowalign||E[af];o=({top:aq[af]-aw[af][ae].bbox.h,bottom:aw[af][ae].bbox.d-au[af],center:((aq[af]-au[af])-(aw[af][ae].bbox.h-aw[af][ae].bbox.d))/2,baseline:0,axis:0})[aR]||0;aR=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(aw[af][ae],aR,T+o)}if(af<aw.length-1){T-=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}}T=aj}if(aJ){var G=b.createBox(ay);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aI);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ay.bbox}var aP=0,aW=aI,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ap+1);l=B/(ap+1)}for(ae=0;ae<=ap;ae++){b.placeBox(av[ae].parentNode,0,0);av[ae].style.position="relative";av[ae].style.left=b.Em(aW);av[ae].style.width="100%";av[ae].parentNode.parentNode.removeChild(av[ae].parentNode);var am=b.createBox(G);b.addBox(am,av[ae]);av[ae]=am;var h=am.style;h.display="inline-block";h.left=aP+"%";if(aM[ae].match(/%$/)){var u=parseFloat(aM[ae])*S;if(ah===0){h.width=(k+u)+"%";aP+=k+u;am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l);aW-=l}else{h.width=u+"%";aP+=u}}else{if(aM[ae]==="fit"||ah===0){h.width=k+"%";am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l-ak[ae]);aW+=ak[ae]-l;aP+=k}else{h.width=b.Em(ak[ae]);aW+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(am.firstChild,b.NBSP);am.firstChild.style.position="relative"}aW+=az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createBox(G);r.style.left=aP+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ay.bbox;b.placeBox(r,aW-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}else{var U=aI;for(ae=0;ae<=ap;ae++){if(!av[ae].bbox.width){b.setStackWidth(av[ae],ak[ae])}if(aM[ae]!=="auto"&&aM[ae]!=="fit"){av[ae].bbox.width=ak[ae];av[ae].bbox.isFixed=true}b.placeBox(av[ae].parentNode,U,0);U+=ak[ae]+az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}ay.bbox.d=-aU;ay.bbox.h=g+aU;b.setStackWidth(ay,ay.bbox.w+aI);aV=ay.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ay,g,0,aV,1.25/b.em,K.frame);b.addBox(ay,ai);b.placeBox(ai,0,aU,true);if(aJ){ai.style.width="100%"}}T=aj;for(af=0,ad=aw.length-1;af<ad;af++){o=Math.max(al,au[af]+aq[af+1]+aQ[af]);if(z[af]!=="none"){r=b.createRule(ay,1.25/b.em,0,aV);b.addBox(ay,r);r.bbox={h:1.25/b.em,d:0,w:aV,rw:aV,lw:0};b.placeBox(r,0,T-au[af]-(o-au[af]-aq[af+1])/2,true);if(z[af]==="dashed"||aJ){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aJ){r.style.width="100%"}}}T-=o}if(aJ){t.bbox.width=K.width;ay.style.width="100%"}if(av[aB]){var ax=ay.bbox.w,q;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift=this.displayIndent}var aN=b.createStack(t,false,"100%");b.addBox(aN,ay);b.alignBox(ay,ar.indentalign,0);if(ar.indentshift&&ar.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(ar.indentshift,aA);ax+=q;ay.style[ar.indentalign]=b.Em(q)}av[aB].parentNode.parentNode.removeChild(av[aB].parentNode);b.addBox(aN,av[aB]);b.alignBox(av[aB],e[aB],0);if(b.msieRelativeWidthBug){ay.style.top=av[aB].style.top=""}if(aJ){ay.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,aA);av[aB].style.marginRight=av[aB].style.marginLeft=b.Em(q);if(ar.indentalign===a.INDENTALIGN.CENTER){ax+=4*q+2*av[aB].bbox.w}else{if(ar.indentalign!==e[aB]){ax+=2*q+av[aB].bbox.w}}t.style.minWidth=t.bbox.minWidth=aN.style.minWidth=aN.bbox.minWidth=b.Em(ax)}if(!aJ){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aJ){if(!ai){ai=b.createFrame(ay,g,0,aV,0,"none");b.addBox(ay,ai);b.placeBox(ai,0,aU,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aI=K.width.match(/%$/);var ax=b.createStack(t);var aF=this.HTMLgetScale(),az=this.HTMLgetMu(t),aA=-1;var ap=[],at=[],ak=[],av=[],au=[],af,ae,ao=-1,ad,an,Z,aE,R,aB,aN=[],aS;var I=b.FONTDATA.lineH*aF*K.useHeight,O=b.FONTDATA.lineD*aF*K.useHeight;for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);av[af]=[];ap[af]=I;at[af]=O;for(ae=Z,an=aE.data.length+Z;ae<an;ae++){if(ak[ae]==null){if(ae>ao){ao=ae}au[ae]=b.createStack(b.createBox(ax));ak[ae]=-b.BIGDIMEN}av[af][ae]=b.createBox(au[ae]);aN.push(aE.data[ae-Z].toHTML(av[af][ae]))}}b.MeasureSpans(aN);for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);for(ae=Z,an=aE.data.length+Z;ae<an;ae++){R=aE.data[ae-Z];if(R.isMultiline){av[af][ae].style.width="100%"}if(R.isEmbellished()){aB=R.CoreMO();var aR=aB.Get("minsize",true);if(aR){var aK=aB.HTMLspanElement().bbox;if(aB.HTMLcanStretch("Vertical")){aS=aK.h+aK.d;if(aS){aR=b.length2em(aR,az,aS);if(aR*aK.h/aS>ap[af]){ap[af]=aR*aK.h/aS}if(aR*aK.d/aS>at[af]){at[af]=aR*aK.d/aS}}}else{if(aB.HTMLcanStretch("Horizontal")){aR=b.length2em(aR,az,aK.w);if(aR>ak[ae]){ak[ae]=aR}}}}}if(av[af][ae].bbox.h>ap[af]){ap[af]=av[af][ae].bbox.h}if(av[af][ae].bbox.d>at[af]){at[af]=av[af][ae].bbox.d}if(av[af][ae].bbox.w>ak[ae]){ak[ae]=av[af][ae].bbox.w}}}var aD=MathJax.Hub.SplitList;var ay=aD(K.columnspacing),aP=aD(K.rowspacing),e=aD(K.columnalign),E=aD(K.rowalign),d=aD(K.columnlines),z=aD(K.rowlines),aL=aD(K.columnwidth),V=[];for(af=0,ad=ay.length;af<ad;af++){ay[af]=b.length2em(ay[af],az)}for(af=0,ad=aP.length;af<ad;af++){aP[af]=b.length2em(aP[af],az)}while(ay.length<ao){ay.push(ay[ay.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aL.length<=ao){aL.push(aL[aL.length-1])}while(aP.length<av.length){aP.push(aP[aP.length-1])}while(E.length<=av.length){E.push(E[E.length-1])}while(z.length<av.length){z.push(z[z.length-1])}if(au[aA]){e[aA]=(K.side.substr(0,1)==="l"?"left":"right");ay[aA]=-ak[aA]}for(af=0,ad=av.length;af<ad;af++){aE=this.data[af];V[af]=[];if(aE.rowalign){E[af]=aE.rowalign}if(aE.columnalign){V[af]=aD(aE.columnalign);while(V[af].length<=ao){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aC=Math.max.apply(Math,ap),X=Math.max.apply(Math,at);for(af=0,ad=av.length;af<ad;af++){Z=((aC+X)-(ap[af]+at[af]))/2;ap[af]+=Z;at[af]+=Z}}aS=ap[0]+at[av.length-1];for(af=0,ad=av.length-1;af<ad;af++){aS+=Math.max(0,at[af]+ap[af+1]+aP[af])}var aH=0,aG=0,aU,g=aS;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aD(K.framespacing);if(w.length!=2){w=aD(this.defaults.framespacing)}aH=b.length2em(w[0],az);aG=b.length2em(w[1],az);g=aS+2*aG}var aj,aT,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=av.length+1+ab}if(ab<1){ab=1}else{if(ab>av.length){ab=av.length}}aj=0;aT=-(aS+aG)+ap[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max(0,at[af]+ap[af+1]+aP[af]);aj+=N;aT+=N}}else{aj=({top:-(ap[0]+aG),bottom:aS+aG-ap[0],center:aS/2-ap[0],baseline:aS/2-ap[0],axis:aS/2+b.TeX.axis_height*aF-ap[0]})[K.align];aT=({top:-(aS+2*aG),bottom:0,center:-(aS/2+aG),baseline:-(aS/2+aG),axis:b.TeX.axis_height*aF-aS/2-aG})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,am=[],ar=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aI){ac=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){aL[af]=ac}ac=0;ag=1;ah=ao+1;for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac+=ay[af]}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}ac/=ao+1;for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){if(aL[af]==="auto"){B+=ak[af]}else{if(aL[af]==="fit"){ar[ah]=af;ah++;B+=ak[af]}else{if(aL[af].match(/%$/)){am[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aL[af],az,1)}else{ak[af]=b.length2em(aL[af],az);B+=ak[af]}}}}if(aI){ac=0;for(af=0,ad=Math.min(ao,ay.length);af<ad;af++){ac+=ay[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}}for(af=0,ad=am.length;af<ad;af++){ak[am[af]]=b.length2em(aL[am[af]],az,ac*S);B+=ak[am[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=ar.length;af<ad;af++){ak[ar[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ao;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ao;ae++){ak[ae]=Q}}}}var T=aj,o,r,aQ;Z=(au[aA]?aA:0);for(ae=Z;ae<=ao;ae++){for(af=0,ad=av.length;af<ad;af++){if(av[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aA:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){av[af][ae].bbox=R.HTMLstretchH(au[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aB=R.CoreMO();var aJ=aB.symmetric;aB.symmetric=false;av[af][ae].bbox=R.HTMLstretchV(au[ae],ap[af],at[af]).bbox;av[af][ae].HH=null;if(av[af][ae].bbox.h>ap[af]){av[af][ae].bbox.H=av[af][ae].bbox.h;av[af][ae].bbox.h=ap[af]}if(av[af][ae].bbox.d>at[af]){av[af][ae].bbox.D=av[af][ae].bbox.d;av[af][ae].bbox.d=at[af]}aB.symmetric=aJ}}aQ=R.rowalign||this.data[af].rowalign||E[af];o=({top:ap[af]-av[af][ae].bbox.h,bottom:av[af][ae].bbox.d-at[af],center:((ap[af]-at[af])-(av[af][ae].bbox.h-av[af][ae].bbox.d))/2,baseline:0,axis:0})[aQ]||0;aQ=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(av[af][ae],aQ,T+o)}if(af<av.length-1){T-=Math.max(0,at[af]+ap[af+1]+aP[af])}}T=aj}if(aI){var G=b.createBox(ax);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aH);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ax.bbox}var aO=0,aV=aH,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ao+1);l=B/(ao+1)}for(ae=0;ae<=ao;ae++){b.placeBox(au[ae].parentNode,0,0);au[ae].style.position="relative";au[ae].style.left=b.Em(aV);au[ae].style.width="100%";au[ae].parentNode.parentNode.removeChild(au[ae].parentNode);var al=b.createBox(G);b.addBox(al,au[ae]);au[ae]=al;var h=al.style;h.display="inline-block";h.left=aO+"%";if(aL[ae].match(/%$/)){var u=parseFloat(aL[ae])*S;if(ah===0){h.width=(k+u)+"%";aO+=k+u;al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l);aV-=l}else{h.width=u+"%";aO+=u}}else{if(aL[ae]==="fit"||ah===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l-ak[ae]);aV+=ak[ae]-l;aO+=k}else{h.width=b.Em(ak[ae]);aV+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}aV+=ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createBox(G);r.style.left=aO+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ax.bbox;b.placeBox(r,aV-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}else{var U=aH;for(ae=0;ae<=ao;ae++){if(!au[ae].bbox.width){b.setStackWidth(au[ae],ak[ae])}if(aL[ae]!=="auto"&&aL[ae]!=="fit"){au[ae].bbox.width=ak[ae];au[ae].bbox.isFixed=true}b.placeBox(au[ae].parentNode,U,0);U+=ak[ae]+ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}ax.bbox.d=-aT;ax.bbox.h=g+aT;b.setStackWidth(ax,ax.bbox.w+aH);aU=ax.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ax,g,0,aU,1.25/b.em,K.frame);b.addBox(ax,ai);b.placeBox(ai,0,aT,true);if(aI){ai.style.width="100%"}}T=aj;for(af=0,ad=av.length-1;af<ad;af++){o=Math.max(0,at[af]+ap[af+1]+aP[af]);if(z[af]!=="none"){r=b.createRule(ax,1.25/b.em,0,aU);b.addBox(ax,r);r.bbox={h:1.25/b.em,d:0,w:aU,rw:aU,lw:0};b.placeBox(r,0,T-at[af]-(o-at[af]-ap[af+1])/2,true);if(z[af]==="dashed"||aI){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aI){r.style.width="100%"}}}T-=o}if(aI){t.bbox.width=K.width;ax.style.width="100%"}if(au[aA]){var aw=ax.bbox.w,q;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift=this.displayIndent}var aM=b.createStack(t,false,"100%");b.addBox(aM,ax);b.alignBox(ax,aq.indentalign,0);if(aq.indentshift&&aq.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(aq.indentshift,az);aw+=q;ax.style[aq.indentalign]=b.Em(q)}au[aA].parentNode.parentNode.removeChild(au[aA].parentNode);b.addBox(aM,au[aA]);b.alignBox(au[aA],e[aA],0);if(b.msieRelativeWidthBug){ax.style.top=au[aA].style.top=""}if(aI){ax.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,az);au[aA].style.marginRight=au[aA].style.marginLeft=b.Em(q);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*q+2*au[aA].bbox.w}else{if(aq.indentalign!==e[aA]){aw+=2*q+au[aA].bbox.w}}t.style.minWidth=t.bbox.minWidth=aM.style.minWidth=aM.bbox.minWidth=b.Em(aw)}if(!aI){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aI){if(!ai){ai=b.createFrame(ax,g,0,aU,0,"none");b.addBox(ax,ai);b.placeBox(ai,0,aT,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML-full.js");
diff --git a/config/AM_HTMLorMML.js b/config/AM_HTMLorMML.js
index 9f44aba9b..88e21a448 100644
--- a/config/AM_HTMLorMML.js
+++ b/config/AM_HTMLorMML.js
@@ -30,15 +30,15 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.3",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.asciimath2jax={version:"2.3",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.4-beta",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.asciimath2jax={version:"2.4-beta",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(ag){var k;var aa=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(i){if(i.parent){i.parent.removeChild(i)}if(this.lastChild){this.lastChild.nextSibling=i}if(!this.firstChild){this.firstChild=i}this.childNodes.push(i);i.parent=this;this.lastChild=i;return i},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.childNodes[ak]=al;al.nextSibling=aj.nextSibling;aj.nextSibling=aj.parent=null;return aj},toString:function(){return"{"+this.childNodes.join("")+"}"}});var E=function(){k=MathJax.ElementJax.mml;var i=k.mbase.prototype.Init;k.mbase.Augment({firstChild:null,lastChild:null,nodeValue:"",nextSibling:null,Init:function(){var ai=i.apply(this,arguments)||this;ai.childNodes=ai.data;ai.nodeName=ai.type;return ai},appendChild:function(al){if(al.parent){al.parent.removeChild(al)}var aj=arguments;if(al.isa(aa)){aj=al.childNodes;al.data=al.childNodes=[];al.firstChild=al.lastChild=null}for(var ak=0,ai=aj.length;ak<ai;ak++){al=aj[ak];if(this.lastChild){this.lastChild.nextSibling=al}if(!this.firstChild){this.firstChild=al}this.Append(al);this.lastChild=al;this.nodeValue+=al.nodeValue}return al},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}this.nodeValue="";for(aj=0,ai=this.childNodes.length;aj<ai;aj++){this.nodeValue+=this.childNodes[aj].nodeValue}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.SetData(ak,al);al.nextSibling=aj.nextSibling;this.nodeValue="";for(ak=0,ai=this.childNodes.length;ak<ai;ak++){this.nodeValue+=this.childNodes[ak].nodeValue}aj.nextSibling=aj.parent=null;return aj},setAttribute:function(ai,aj){this[ai]=aj}})};var S={};var g={getElementById:true,createElementNS:function(ai,i){return k[i]()},createTextNode:function(i){return k.chars(i).With({nodeValue:i})},createDocumentFragment:function(){return aa()}};var O={appName:"MathJax"};var ac;var I="red";var ad="serif";var t=true;var C=true;var f=".";var q=g.createElementNS==null;function V(i){if(q){return g.createElement(i)}else{return g.createElementNS("http://www.w3.org/1999/xhtml",i)}}var J=[61237,8492,61238,61239,8496,8497,61240,8459,8464,61241,61242,8466,8499,61243,61244,61245,61246,8475,61247,61248,61249,61250,61251,61252,61253,61254];var N=[61277,61278,8493,61279,61280,61281,61282,8460,8465,61283,61284,61285,61286,61287,61288,61289,61290,8476,61291,61292,61293,61294,61295,61296,61297,8488];var D=[61324,61325,8450,61326,61327,61328,61329,8461,61330,61331,61332,61333,61334,8469,61335,8473,8474,8477,61336,61337,61338,61339,61340,61341,61342,8484];var d=0,H=1,X=2,m=3,b=4,l=5,a=6,P=7,Z=8,r=9,ab=10;var j={input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:H},af={input:"root",tag:"mroot",output:"root",tex:null,ttype:X},A={input:"frac",tag:"mfrac",output:"/",tex:null,ttype:X},Q={input:"/",tag:"mfrac",output:"/",tex:null,ttype:m},o={input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:X},s={input:"_",tag:"msub",output:"_",tex:null,ttype:m},h={input:"^",tag:"msup",output:"^",tex:null,ttype:m},ah={input:"text",tag:"mtext",output:"text",tex:null,ttype:ab},x={input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:ab},p={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:ab};var G=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:d},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:d},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:d},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:d},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:d},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:d},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:d},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:d},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:d},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:d},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:d},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:d},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:d},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:d},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:d},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:d},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:d},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:d},{input:"phi",tag:"mi",output:"\u03C6",tex:null,ttype:d},{input:"varphi",tag:"mi",output:"\u03D5",tex:null,ttype:d},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:d},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:d},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:d},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:d},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:d},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:d},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:d},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:d},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:d},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:d},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:d},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:d},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:d},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:d},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:d},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:d},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:d},{input:"**",tag:"mo",output:"\u22C6",tex:"star",ttype:d},{input:"//",tag:"mo",output:"/",tex:null,ttype:d},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:d},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:d},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:d},{input:"-:",tag:"mo",output:"\u00F7",tex:"divide",ttype:d},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:d},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:d},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:d},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:d},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:P},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:P},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:d},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:P},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:d},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:P},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:d},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:P},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:d},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:P},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:d},{input:":=",tag:"mo",output:":=",tex:null,ttype:d},{input:"lt",tag:"mo",output:"<",tex:null,ttype:d},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:d},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:d},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:d},{input:"geq",tag:"mo",output:"\u2265",tex:null,ttype:d},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:d},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:d},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:d},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:d},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:d},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:d},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:d},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:d},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:d},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:d},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:d},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:d},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:d},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:d},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:d},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:d},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:d},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:d},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:d},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:d},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:d},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:d},{input:"(",tag:"mo",output:"(",tex:null,ttype:b},{input:")",tag:"mo",output:")",tex:null,ttype:l},{input:"[",tag:"mo",output:"[",tex:null,ttype:b},{input:"]",tag:"mo",output:"]",tex:null,ttype:l},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:l},{input:"|",tag:"mo",output:"|",tex:null,ttype:r},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:l},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:l},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:l,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:d},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:Z},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:Z},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:Z},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:Z},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:d},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:d},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:d},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:d},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:d},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:d},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:d},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:d},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:d},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:d},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:d},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:d},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:d},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:d},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:d},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:d},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:d},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:d},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:d},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:d},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:d},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:d},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:d},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:d},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:d},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:d},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:d},{input:"f",tag:"mi",output:"f",tex:null,ttype:H,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:H,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:P},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:P},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:H,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:H,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:H,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:H,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:H,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:H,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:H,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:H,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:H,func:true},{input:"log",tag:"mo",output:"log",tex:null,ttype:H,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:H,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:H,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:d},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:d},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:H,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:H,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:d},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:d},{input:"min",tag:"mo",output:"min",tex:null,ttype:P},{input:"max",tag:"mo",output:"max",tex:null,ttype:P},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:d},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:d},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:d},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:d},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:d},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:d},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:d},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:d},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:d},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:d},j,af,A,Q,o,s,h,{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:H,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:H,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:H,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:H,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:H,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:H,acc:true},ah,x,p,{input:"bb",tag:"mstyle",atname:"fontweight",atval:"bold",output:"bb",tex:null,ttype:H},{input:"mathbf",tag:"mstyle",atname:"fontweight",atval:"bold",output:"mathbf",tex:null,ttype:H},{input:"sf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"sf",tex:null,ttype:H},{input:"mathsf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"mathsf",tex:null,ttype:H},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:H,codes:D},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:H,codes:D},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:H,codes:J},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:H,codes:J},{input:"tt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"tt",tex:null,ttype:H},{input:"mathtt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"mathtt",tex:null,ttype:H},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:H,codes:N},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:H,codes:N}];function W(ai,i){if(ai.input>i.input){return 1}else{return -1}}var U=[];function v(){var aj=[],ai;for(ai=0;ai<G.length;ai++){if(G[ai].tex){aj[aj.length]={input:G[ai].tex,tag:G[ai].tag,output:G[ai].output,ttype:G[ai].ttype}}}G=G.concat(aj);G.sort(W);for(ai=0;ai<G.length;ai++){U[ai]=G[ai].input}}var Y="http://www.w3.org/1998/Math/MathML";function R(i){if(q){return g.createElement("m:"+i)}else{return g.createElementNS(Y,i)}}function M(i,aj){if(q){var ai=g.createElement("m:"+i)}else{ai=g.createElementNS(Y,i)}ai.appendChild(aj);return ai}function B(i,ai){G=G.concat([{input:i,tag:"mo",output:ai,tex:null,ttype:Z}]);G.sort(W);for(ac=0;ac<G.length;ac++){U[ac]=G[ac].input}}function u(ak,al){var ai;if(ak.charAt(al)=="\\"&&ak.charAt(al+1)!="\\"&&ak.charAt(al+1)!=" "){ai=ak.slice(al+1)}else{ai=ak.slice(al)}for(var aj=0;aj<ai.length&&ai.charCodeAt(aj)<=32;aj=aj+1){}return ai.slice(aj)}function c(aj,am,an){if(an==0){var al,ai;an=-1;al=aj.length;while(an+1<al){ai=(an+al)>>1;if(aj[ai]<am){an=ai}else{al=ai}}return al}else{for(var ak=an;ak<aj.length&&aj[ak]<am;ak++){}}return ak}function n(ao){var ai=0;var aj=0;var al;var ar;var aq;var am="";var an=true;for(var ak=1;ak<=ao.length&&an;ak++){ar=ao.slice(0,ak);aj=ai;ai=c(U,ar,aj);if(ai<U.length&&ao.slice(0,U[ai].length)==U[ai]){am=U[ai];al=ai;ak=am.length}an=ai<U.length&&ao.slice(0,U[ai].length)>=U[ai]}y=F;if(am!=""){F=G[al].ttype;return G[al]}F=d;ai=1;ar=ao.slice(0,1);var ap=true;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}if(ar==f){ar=ao.slice(ai,ai+1);if("0"<=ar&&ar<="9"){ap=false;ai++;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}}}if((ap&&ai>1)||ai>2){ar=ao.slice(0,ai-1);aq="mn"}else{ai=2;ar=ao.slice(0,1);aq=(("A">ar||ar>"Z")&&("a">ar||ar>"z")?"mo":"mi")}if(ar=="-"&&y==m){F=m;return{input:ar,tag:aq,output:ar,ttype:H,func:true}}return{input:ar,tag:aq,output:ar,ttype:d}}function T(ai){var i;if(ai.nodeName=="mrow"){i=ai.firstChild.firstChild.nodeValue;if(i=="("||i=="["||i=="{"){ai.removeChild(ai.firstChild)}}if(ai.nodeName=="mrow"){i=ai.lastChild.firstChild.nodeValue;if(i==")"||i=="]"||i=="}"){ai.removeChild(ai.lastChild)}}}var K,y,F;function L(ao){var ak,aj,ar,am,aq,an=g.createDocumentFragment();ao=u(ao,0);ak=n(ao);if(ak==null||ak.ttype==l&&K>0){return[null,ao]}if(ak.ttype==Z){ao=ak.output+u(ao,ak.input.length);ak=n(ao)}switch(ak.ttype){case P:case d:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao];case b:K++;ao=u(ao,ak.input.length);ar=w(ao,true);K--;if(typeof ak.invisible=="boolean"&&ak.invisible){aj=M("mrow",ar[0])}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0])}return[aj,ar[1]];case ab:if(ak!=p){ao=u(ao,ak.input.length)}if(ao.charAt(0)=="{"){am=ao.indexOf("}")}else{if(ao.charAt(0)=="("){am=ao.indexOf(")")}else{if(ao.charAt(0)=="["){am=ao.indexOf("]")}else{if(ak==p){am=ao.slice(1).indexOf('"')+1}else{am=0}}}}if(am==-1){am=ao.length}aq=ao.slice(1,am);if(aq.charAt(0)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}an.appendChild(M(ak.tag,g.createTextNode(aq)));if(aq.charAt(aq.length-1)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}ao=u(ao,am+1);return[M("mrow",an),ao];case H:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M(ak.tag,g.createTextNode(ak.output)),ao]}if(typeof ak.func=="boolean"&&ak.func){aq=ao.charAt(0);if(aq=="^"||aq=="_"||aq=="/"||aq=="|"||aq==","){return[M(ak.tag,g.createTextNode(ak.output)),ao]}else{aj=M("mrow",M(ak.tag,g.createTextNode(ak.output)));aj.appendChild(ar[0]);return[aj,ar[1]]}}T(ar[0]);if(ak.input=="sqrt"){return[M(ak.tag,ar[0]),ar[1]]}else{if(typeof ak.acc=="boolean"&&ak.acc){aj=M(ak.tag,ar[0]);aj.appendChild(M("mo",g.createTextNode(ak.output)));return[aj,ar[1]]}else{if(!q&&typeof ak.codes!="undefined"){for(am=0;am<ar[0].childNodes.length;am++){if(ar[0].childNodes[am].nodeName=="mi"||ar[0].nodeName=="mi"){aq=(ar[0].nodeName=="mi"?ar[0].firstChild.nodeValue:ar[0].childNodes[am].firstChild.nodeValue);var ap=[];for(var al=0;al<aq.length;al++){if(aq.charCodeAt(al)>64&&aq.charCodeAt(al)<91){ap=ap+String.fromCharCode(ak.codes[aq.charCodeAt(al)-65])}else{ap=ap+aq.charAt(al)}}if(ar[0].nodeName=="mi"){ar[0]=R("mo").appendChild(g.createTextNode(ap))}else{ar[0].replaceChild(R("mo").appendChild(g.createTextNode(ap)),ar[0].childNodes[am])}}}}aj=M(ak.tag,ar[0]);aj.setAttribute(ak.atname,ak.atval);return[aj,ar[1]]}}case X:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ar[0]);var ai=L(ar[1]);if(ai[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ai[0]);if(ak.input=="root"||ak.input=="stackrel"){an.appendChild(ai[0])}an.appendChild(ar[0]);if(ak.input=="frac"){an.appendChild(ai[0])}return[M(ak.tag,an),ai[1]];case m:ao=u(ao,ak.input.length);return[M("mo",g.createTextNode(ak.output)),ao];case a:ao=u(ao,ak.input.length);aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);an.appendChild(M(ak.tag,g.createTextNode(ak.output)));aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);return[M("mrow",an),ao];case r:K++;ao=u(ao,ak.input.length);ar=w(ao,false);K--;aq="";if(ar[0].lastChild!=null){aq=ar[0].lastChild.firstChild.nodeValue}if(aq=="|"){aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0]);return[aj,ar[1]]}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);return[aj,ao]}default:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao]}}function z(an){var al,ao,am,ak,i,aj;an=u(an,0);ao=n(an);i=L(an);ak=i[0];an=i[1];al=n(an);if(al.ttype==m&&al.input!="/"){an=u(an,al.input.length);i=L(an);if(i[0]==null){i[0]=M("mo",g.createTextNode("\u25A1"))}else{T(i[0])}an=i[1];if(al.input=="_"){am=n(an);aj=(ao.ttype==P);if(am.input=="^"){an=u(an,am.input.length);var ai=L(an);T(ai[0]);an=ai[1];ak=M((aj?"munderover":"msubsup"),ak);ak.appendChild(i[0]);ak.appendChild(ai[0]);ak=M("mrow",ak)}else{ak=M((aj?"munder":"msub"),ak);ak.appendChild(i[0])}}else{ak=M(al.tag,ak);ak.appendChild(i[0])}}return[ak,an]}function w(aq,ap){var av,ar,am,ay,an=g.createDocumentFragment();do{aq=u(aq,0);am=z(aq);ar=am[0];aq=am[1];av=n(aq);if(av.ttype==m&&av.input=="/"){aq=u(aq,av.input.length);am=z(aq);if(am[0]==null){am[0]=M("mo",g.createTextNode("\u25A1"))}else{T(am[0])}aq=am[1];T(ar);ar=M(av.tag,ar);ar.appendChild(am[0]);an.appendChild(ar);av=n(aq)}else{if(ar!=undefined){an.appendChild(ar)}}}while((av.ttype!=l&&(av.ttype!=r||ap)||K==0)&&av!=null&&av.output!="");if(av.ttype==l||av.ttype==r){var az=an.childNodes.length;if(az>0&&an.childNodes[az-1].nodeName=="mrow"&&az>1&&an.childNodes[az-2].nodeName=="mo"&&an.childNodes[az-2].firstChild.nodeValue==","){var aB=an.childNodes[az-1].lastChild.firstChild.nodeValue;if(aB==")"||aB=="]"){var aj=an.childNodes[az-1].firstChild.firstChild.nodeValue;if(aj=="("&&aB==")"&&av.output!="}"||aj=="["&&aB=="]"){var ak=[];var aw=true;var at=an.childNodes.length;for(ay=0;aw&&ay<at;ay=ay+2){ak[ay]=[];ar=an.childNodes[ay];if(aw){aw=ar.nodeName=="mrow"&&(ay==at-1||ar.nextSibling.nodeName=="mo"&&ar.nextSibling.firstChild.nodeValue==",")&&ar.firstChild.firstChild.nodeValue==aj&&ar.lastChild.firstChild.nodeValue==aB}if(aw){for(var ax=0;ax<ar.childNodes.length;ax++){if(ar.childNodes[ax].firstChild.nodeValue==","){ak[ay][ak[ay].length]=ax}}}if(aw&&ay>1){aw=ak[ay].length==ak[ay-2].length}}if(aw){var al,ai,ao,au,aA=g.createDocumentFragment();for(ay=0;ay<at;ay=ay+2){al=g.createDocumentFragment();ai=g.createDocumentFragment();ar=an.firstChild;ao=ar.childNodes.length;au=0;ar.removeChild(ar.firstChild);for(ax=1;ax<ao-1;ax++){if(typeof ak[ay][au]!="undefined"&&ax==ak[ay][au]){ar.removeChild(ar.firstChild);al.appendChild(M("mtd",ai));au++}else{ai.appendChild(ar.firstChild)}}al.appendChild(M("mtd",ai));if(an.childNodes.length>2){an.removeChild(an.firstChild);an.removeChild(an.firstChild)}aA.appendChild(M("mtr",al))}ar=M("mtable",aA);if(typeof av.invisible=="boolean"&&av.invisible){ar.setAttribute("columnalign","left")}an.replaceChild(ar,an.firstChild)}}}}aq=u(aq,av.input.length);if(typeof av.invisible!="boolean"||!av.invisible){ar=M("mo",g.createTextNode(av.output));an.appendChild(ar)}}return[an,aq]}function e(aj){var ai=R("mstyle");if(I!=""){ai.setAttribute("mathcolor",I)}if(t){ai.setAttribute("displaystyle","true")}if(ad!=""){ai.setAttribute("fontfamily",ad)}K=0;ai.appendChild(w(aj.replace(/^\s+/g,""),false)[0]);ai=M("math",ai);if(C){ai.setAttribute("title",aj.replace(/\s+/g," "))}if(ad!=""&&(q||ad!="serif")){var i=V("font");i.setAttribute("face",ad);i.appendChild(ai);return i}return ai}C=false;ad="";I="";(function(){for(var aj=0,ai=G.length;aj<ai;aj++){if(G[aj].codes){delete G[aj].codes}if(G[aj].func){G[aj].tag="mi"}if(G[aj].atname==="fontfamily"||G[aj].atname==="fontweight"){G[aj].atname="mathvariant"}}})();G.push({input:"gt",tag:"mo",output:">",tex:null,ttype:d},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:d},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:d},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:d},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:d},{input:"arcsin",tag:"mi",output:"arcsin",tex:null,ttype:H,func:true},{input:"arccos",tag:"mi",output:"arccos",tex:null,ttype:H,func:true},{input:"arctan",tag:"mi",output:"arctan",tex:null,ttype:H,func:true},{input:"coth",tag:"mi",output:"coth",tex:null,ttype:H,func:true},{input:"sech",tag:"mi",output:"sech",tex:null,ttype:H,func:true},{input:"csch",tag:"mi",output:"csch",tex:null,ttype:H,func:true},{input:"abs",tag:"mi",output:"abs",tex:null,ttype:H,func:true},{input:"exp",tag:"mi",output:"exp",tex:null,ttype:H,func:true},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:H,acc:true});ag.Augment({AM:{Init:function(){t=ag.config.displaystyle;f=(ag.config.decimal||ag.config.decimalsign);E();v()},Augment:function(i){for(var ai in i){if(i.hasOwnProperty(ai)){switch(ai){case"displaystyle":t=i[ai];break;case"decimal":decimal=i[ai];break;case"parseMath":e=i[ai];break;case"parseExpr":w=i[ai];break;case"parseIexpr":z=i[ai];break;case"parseSexpr":L=i[ai];break;case"removeBrackets":T=i[ai];break;case"getSymbol":n=i[ai];break;case"position":c=i[ai];break;case"removeCharsAndBlanks":u=i[ai];break;case"createMmlNode":M=i[ai];break;case"createElementMathML":R=i[ai];break;case"createElementXHTML":V=i[ai];break;case"initSymbols":v=i[ai];break;case"compareNames":comareNames=i[ai];break}this[ai]=i[ai]}}},parseMath:e,parseExpr:w,parseIexpr:z,parseSexr:L,removeBrackets:T,getSymbol:n,position:c,removeCharsAndBlanks:u,createMmlNode:M,createElementMathML:R,createElementXHTML:V,initSymbols:v,compareNames:W,createDocumentFragment:aa,document:g,define:B,symbols:G,names:U,TOKEN:{CONST:d,UNARY:H,BINARY:X,INFIX:m,LEFTBRACKET:b,RIGHTBRACKET:l,SPACE:a,UNDEROVER:P,DEFINITION:Z,LEFTRIGHT:r,TEXT:ab}}});var ae=[S,O];ae=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};this.prefilterHooks.Execute(g);f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML.js");
diff --git a/config/Accessible-full.js b/config/Accessible-full.js
index b03fe3738..04583b4ea 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -52,25 +52,25 @@ MathJax.Hub.Config({
   
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline"},"div.MathJax_MathML":{display:"block"},".MathJax_mmlExBox":{display:"block",overflow:"hidden",height:"1px",width:"60ex",padding:0,border:0,margin:0}}},settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!i){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(i){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame"),n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.style.width=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(p){var t=this.defaults;var v=(this.attrNames||f.copyAttributeNames),r=f.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){t=f.math.prototype.defaults}for(var u in t){if(!r[u]&&t.hasOwnProperty(u)){if(this[u]!=null){p.setAttribute(u,this.NativeMMLattribute(this[u]))}}}}for(var q=0,o=v.length;q<o;q++){var s=(this.attr||{})[v[q]];if(s==null){s=this[v[q]]}if(s!=null){p.setAttribute(v[q],this.NativeMMLattribute(s))}}this.NativeMMLclass(p)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(i?document.createElement("m:"+o):document.createElementNS(l.MMLnamespace,o));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}})}f.math.Augment({toNativeMML:function(v){var x=this.NativeMMLelement(this.type),u=x,p;var t,r;l.adjustWidths=[];x.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(x);if(l.widthBug){x=x.appendChild(this.NativeMMLelement("mrow"))}for(t=0,r=this.data.length;t<r;t++){if(this.data[t]){this.data[t].toNativeMML(x)}else{x.appendChild(this.NativeMMLelement("mrow"))}}var s=((this.data[0]||[]).data[0]||{});if(s.nMMLhasLabels){if(s.nMMLforceWidth||!s.nMMLlaMatch){x.setAttribute("style","width:100%");v.style.width=v.parentNode.style.width="100%"}if(s.nMMLlaMatch){if(v.parentNode.parentNode.nodeName.toLowerCase()==="div"){v.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}v.appendChild(u);if(l.widthBug&&!(s.nMMLhasLabels&&(s.nMMLforceWidth||!s.nMMLlaMatch))){v.style.width=(u.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";p=c.getJaxFor(v);if(p){p.NativeMML.scrollWidth=u.firstChild.scrollWidth}}if(l.adjustWidths.length){var w=[];for(t=0,r=l.adjustWidths.length;t<r;t++){x=l.adjustWidths[t];var o=x.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){w.push(x.scrollWidth);var q=(x.scrollWidth/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");x.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(v)}if(p){p.NativeMML.mtds=w}u.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}base=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(base);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}base=o}q.appendChild(base);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,base)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.operaPositionBug=true;l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=true;l.widthBug=true;l.spaceWidthBug=!m.versionAtLeast("20.0");l.mtdWidthBug=true;l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(h,b,d){var g,i=b.Browser.isMobile;var e=function(){var k=[].slice.call(arguments,0);k[0][0]=["HTML-CSS",k[0][0]];return MathJax.Message.Set.apply(MathJax.Message,k)};var f=MathJax.Object.Subclass({timeout:(i?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"},"STIX-Web":{family:"STIXWeb_Size1",testString:"() {} []"},"Asana-Math":{family:"AsanaMath_Size1",testString:"() {} []"},"Gyre-Pagella":{family:"GyrePagella_Size1",testString:"() {} []"},"Gyre-Termes":{family:"GyreTermes_Size1",testString:"() {} []"},"Latin-Modern":{family:"LatinModern_Size1",testString:"() {} []"},"Neo-Euler":{family:"NeoEuler_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(o,l){if(l&&this.testCollection(l)){return l}for(var n=0,k=o.length;n<k;n++){if(o[n]===l){continue}if(this.testCollection(o[n])){return o[n]}}return null},testCollection:function(k){return this.testFont(this.FontInfo[k])},testFont:function(n){if(n.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(n.weight||"normal");this.div.style.fontStyle=(n.style||"normal")}var l=this.getComparisonWidths(n.testString,n.noStyleChar);if(l){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==l[0]){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[l[2]];if(this.div.offsetWidth==l[1]){return false}}if(this.div.offsetWidth!=l[3]||this.div.offsetHeight!=l[4]){if(n.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var o=0,k=this.testSize.length;o<k;o++){if(this.testStyleChar(n,this.testSize[o])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(m,p){var s=3+(m.weight?2:0)+(m.style?4:0);var l="",o=0;var r=this.div.style.fontSize;this.div.style.fontSize=p;if(d.msieItalicWidthBug&&m.style==="italic"){this.text.nodeValue=l=this.compChar;o=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+l}else{this.text.nodeValue=this.compChar+l}var k=this.div.offsetWidth-o;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+l}else{this.text.nodeValue=this.styleChar+l}var q=Math.floor((this.div.offsetWidth-o)/k+0.5);if(q===s){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+l}else{this.text.nodeValue=this.versionChar+l}m.version=Math.floor((this.div.offsetWidth-o)/k+1.5)/2}this.div.style.fontSize=r;return(q===s)},getComparisonWidths:function(p,n){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!n){p+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=p}else{this.text.nodeValue=p}this.div.style.fontFamily=this.comparisonFont[0];var l=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var r=this.div.offsetWidth,o=this.div.offsetHeight;for(var q=1,k=this.comparisonFont.length;q<k;q++){this.div.style.fontFamily=this.comparisonFont[q];if(this.div.offsetWidth!=l){return[l,this.div.offsetWidth,q,r,o]}}return null},loadWebFont:function(l){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+l.directory);var o=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+l.directory]);var k=MathJax.Callback({});var m=MathJax.Callback(["loadComplete",this,l,o,k]);h.timer.start(h,[this.checkWebFont,l,m],0,this.timeout);return k},loadComplete:function(m,p,l,k){MathJax.Message.Clear(p);if(k===h.STATUS.OK){this.webFontLoaded=true;l();return}this.loadError(m);if(b.Browser.isFirefox&&d.allowWebFonts){var o=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){o+=":"+document.location.port}o+="/";if(h.fileURL(d.webfontDir).substr(0,o.length)!==o){this.firefoxFontError(m)}}if(!this.webFontLoaded){d.loadWebFontError(m,l)}else{l()}},loadError:function(k){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+k.directory],null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+k.directory,k])},firefoxFontError:function(k){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(k,l,m){if(k.time(m)){return}if(d.Font.testFont(l)){m(k.STATUS.OK)}else{setTimeout(k,k.delay)}},fontFace:function(m){var n=d.allowWebFonts;var p=d.FONTDATA.FONTS[m];if(d.msieFontCSSBug&&!p.family.match(/-Web$/)){p.family+="-Web"}var l=h.fileURL(d.webfontDir+"/"+n);var k=m.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!k.match(/-/)){k+="-Regular"}if(n==="svg"){k+=".svg#"+k}else{k+="."+n}var o={"font-family":p.family,src:"url('"+l+"/"+k+"')"};if(n==="otf"){o.src+=" format('opentype')";l=h.fileURL(d.webfontDir+"/woff");o.src="url('"+l+"/"+k.replace(/otf$/,"woff")+"') format('woff'), "+o.src}else{if(n!=="eot"){o.src+=" format('"+n+"')"}}if(!(d.FontFaceBug&&p.isWebFont)){if(m.match(/-bold/)){o["font-weight"]="bold"}if(m.match(/-italic/)){o["font-style"]="italic"}}return o}});var j,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var l=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(l.scale){this.config.scale=l.scale}if(l.font&&l.font!=="Auto"){if(l.font==="TeXLocal"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(l.font==="TeXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(l.font==="TeXimage"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}else{if(l.font==="STIXlocal"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="STIX-Web"}else{if(l.font==="STIXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="STIX-Web"}else{if(l.font==="AsanaMathWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Asana-Math"}else{if(l.font==="GyrePagellaWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Pagella"}else{if(l.font==="GyreTermesWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Termes"}else{if(l.font==="LatinModernWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Latin-Modern"}else{if(l.font==="NeoEulerWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Neo-Euler"}}}}}}}}}}}var k=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!k&&this.allowWebFonts){k=this.config.webFont;if(k){this.webFonts=true}}if(!k&&this.config.imageFont){k=this.config.imageFont;this.imgFonts=true}if(k){this.fontInUse=k;this.fontDir+="/"+k;this.webfontDir+="/"+k;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);this.fontInUse="generic";this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{fonts:[]},"-largeOp":{fonts:[]},"-smallOp":{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var l=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=l.offsetWidth/5;this.hiddenDiv.removeChild(l);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(k){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(n){for(var l=0,k=n.length;l<k;l++){if(n[l]==="STIX"){n.splice(l,1);k--;l--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=n[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var l=0,k=d.config.preloadWebFonts.length;l<k;l++){var n=d.FONTDATA.FONTS[d.config.preloadWebFonts[l]];if(!n.available){d.Font.testFont(n)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(o){var u=o.jax[this.id],v,r=u.length,z,t,A,n,y,l,x,q,s,k,w=false,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}t=z.previousSibling;if(t&&String(t.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)){t.parentNode.removeChild(t)}l=z.MathJax.elementJax;if(!l){continue}l.HTMLCSS={display:(l.root.Get("display")==="block")};A=n=this.Element("span",{className:"MathJax",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick});if(b.Browser.noContextMenu){A.ontouchstart=a.start;A.ontouchend=a.end}if(l.HTMLCSS.display){n=this.Element("div",{className:"MathJax_Display"});n.appendChild(A)}else{if(this.msieDisappearingBug){A.style.display="inline-block"}}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.EmExSpan.cloneNode(true),z);if(w){n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;q=y.lastChild.firstChild.offsetHeight/60;if(w){k=n.previousSibling.firstChild.offsetWidth}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.HTMLCSS.isHidden=true;x=this.defaultEx;q=this.defaultEm;if(w){k=this.defaultWidth}}s=(this.config.matchFontHeight?x/this.TeX.x_height/q:1);s=Math.floor(Math.max(this.config.minScaleAdjust/100,s)*this.config.scale);l.HTMLCSS.scale=s/100;l.HTMLCSS.fontSize=s+"%";l.HTMLCSS.em=l.HTMLCSS.outerEm=q;this.em=q*s/100;l.HTMLCSS.ex=x;l.HTMLCSS.lineWidth=(B?this.length2em(p,1,k/this.em):1000000)}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=u[v].previousSibling;l=u[v].MathJax.elementJax;if(!l){continue}if(w){A=y.previousSibling;if(!l.HTMLCSS.isHidden){A=A.previousSibling}A.parentNode.removeChild(A)}y.parentNode.removeChild(y)}o.HTMLCSSeqn=o.HTMLCSSlast=0;o.HTMLCSSi=-1;o.HTMLCSSchunk=this.config.EqnChunk;o.HTMLCSSdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.HTMLCSSdelay){p.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.HTMLCSS.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.HTMLCSS.em*k.HTMLCSS.scale;this.outerEm=k.HTMLCSS.em;this.scale=k.HTMLCSS.scale;this.linebreakWidth=k.HTMLCSS.lineWidth;if(this.scale!==1){m.style.fontSize=k.HTMLCSS.fontSize}this.initImg(m);this.initHTML(o,m);o.setTeXclass();try{o.toHTML(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}if(k.HTMLCSS.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_Processed";if(l.MathJax.preview){k.HTMLCSS.preview=l.MathJax.preview;delete l.MathJax.preview}p.HTMLCSSeqn+=(p.i-p.HTMLCSSi);p.HTMLCSSi=p.i;if(p.HTMLCSSeqn>=p.HTMLCSSlast+p.HTMLCSSchunk){this.postTranslate(p,true);p.HTMLCSSchunk=Math.floor(p.HTMLCSSchunk*this.config.EqnChunkFactor);p.HTMLCSSdelay=true}}},postTranslate:function(s,o){var l=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=s.HTMLCSSlast,k=s.HTMLCSSeqn;q<k;q++){var n=l[q];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var r=n.MathJax.elementJax.HTMLCSS;if(r.preview){r.preview.innerHTML="";n.MathJax.preview=r.preview;delete r.preview}}}if(this.forceReflow){var p=(document.styleSheets||[])[0]||{};p.disabled=true;p.disabled=false}s.HTMLCSSlast=s.HTMLCSSeqn},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return b.getJaxFor(k)},getHoverSpan:function(k,l){return k.root.HTMLspanElement()},getHoverBBox:function(k,n,o){var p=n.bbox,m=k.HTMLCSS.outerEm;var l={w:p.w*m,h:p.h*m,d:p.d*m};if(p.width){l.width=p.width}return l},Zoom:function(l,v,u,k,s){v.className="MathJax";v.style.fontSize=l.HTMLCSS.fontSize;var x=v.appendChild(this.EmExSpan.cloneNode(true));var o=x.lastChild.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o;this.outerEm=o/l.HTMLCSS.scale;x.parentNode.removeChild(x);this.idPostfix="-zoom";l.root.toHTML(v,v);this.idPostfix="";var n=l.root.HTMLspanElement().bbox.width;if(n){v.style.width=Math.floor(k-1.5*d.em)+"px";v.style.display="inline-block";var m=(l.root.id||"MathJax-Span-"+l.root.spanID)+"-zoom";var p=document.getElementById(m).firstChild;while(p&&p.style.width!==n){p=p.nextSibling}if(p){p.style.width="100%"}}v.style.position="absolute";if(!n){u.style.position="absolute"}var t=v.offsetWidth,r=v.offsetHeight,w=u.offsetHeight,q=u.offsetWidth;if(q===0){q=u.parentNode.offsetWidth}v.style.position=u.style.position="";return{Y:-j.getBBox(v).h,mW:q,mH:w,zW:t,zH:r}},initImg:function(k){},initHTML:function(l,k){},initFont:function(k){var m=d.FONTDATA.FONTS,l=d.config.availableFonts;if(l&&l.length&&d.Font.testFont(m[k])){m[k].available=true;return null}if(!this.allowWebFonts){return null}m[k].isWebFont=true;if(d.FontFaceBug){m[k].family=k;if(d.msieFontCSSBug){m[k].family+="-Web"}}return h.Styles({"@font-face":this.Font.fontFace(k)})},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.HTMLCSS.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.HTMLCSS},getHD:function(l){var k=l.style.position;l.style.position="absolute";this.HDimg.style.height="0px";l.appendChild(this.HDspan);var m={h:l.offsetHeight};this.HDimg.style.height=m.h+"px";m.d=l.offsetHeight-m.h;m.h-=m.d;m.h/=this.em;m.d/=this.em;l.removeChild(this.HDspan);l.style.position=k;return m},getW:function(o){var l,n,m=(o.bbox||{}).w,p=o;if(o.bbox&&o.bbox.exactW){return m}if((o.bbox&&m>=0&&!this.initialSkipBug)||this.negativeBBoxes||!o.firstChild){l=o.offsetWidth;n=o.parentNode.offsetHeight}else{if(o.bbox&&m<0&&this.msieNegativeBBoxBug){l=-o.offsetWidth,n=o.parentNode.offsetHeight}else{if(this.initialSkipBug){var k=o.style.position;o.style.position="absolute";p=this.startMarker;o.insertBefore(p,o.firstChild)}o.appendChild(this.endMarker);l=this.endMarker.offsetLeft-p.offsetLeft;o.removeChild(this.endMarker);if(this.initialSkipBug){o.removeChild(p);o.style.position=k}}}if(n!=null){o.parentNode.HH=n/this.em}return l/this.em},Measured:function(m,l){var n=m.bbox;if(n.width==null&&n.w&&!n.isMultiline){var k=this.getW(m);n.rw+=k-n.w;n.w=k;n.exactW=true}if(!l){l=m.parentNode}if(!l.bbox){l.bbox=n}return m},Remeasured:function(l,k){k.bbox=this.Measured(l,k).bbox},MeasureSpans:function(o){var r=[],t,q,n,u,k,p,l,s;for(q=0,n=o.length;q<n;q++){t=o[q];if(!t){continue}u=t.bbox;s=this.parentNode(t);if(u.exactW||u.width||u.w===0||u.isMultiline){if(!s.bbox){s.bbox=u}continue}if(this.negativeBBoxes||!t.firstChild||(u.w>=0&&!this.initialSkipBug)||(u.w<0&&this.msieNegativeBBoxBug)){r.push([t])}else{if(this.initialSkipBug){k=this.startMarker.cloneNode(true);p=this.endMarker.cloneNode(true);t.insertBefore(k,t.firstChild);t.appendChild(p);r.push([t,k,p,t.style.position]);t.style.position="absolute"}else{p=this.endMarker.cloneNode(true);t.appendChild(p);r.push([t,null,p])}}}for(q=0,n=r.length;q<n;q++){t=r[q][0];u=t.bbox;s=this.parentNode(t);if((u.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!t.firstChild){l=t.offsetWidth;s.HH=s.offsetHeight/this.em}else{if(u.w<0&&this.msieNegativeBBoxBug){l=-t.offsetWidth,s.HH=s.offsetHeight/this.em}else{l=r[q][2].offsetLeft-((r[q][1]||{}).offsetLeft||0)}}l/=this.em;u.rw+=l-u.w;u.w=l;u.exactW=true;if(!s.bbox){s.bbox=u}}for(q=0,n=r.length;q<n;q++){t=r[q];if(t[1]){t[1].parentNode.removeChild(t[1]),t[0].style.position=t[3]}if(t[2]){t[2].parentNode.removeChild(t[2])}}},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(k){k=(Math.round(k*d.em)+0.05)/d.em;if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(k){return parseFloat(k)},Px:function(k){k*=this.em;var l=(k<0?"-":"");return l+Math.abs(k).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(k){return parseFloat(k)/this.em},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(r,l,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===g.SIZE.NORMAL){return 1}if(r===g.SIZE.BIG){return 2}if(r===g.SIZE.SMALL){return 0.71}if(r==="infinity"){return d.BIGDIMEN}var o=this.FONTDATA.TeX_factor;if(r.match(/mathspace$/)){return d.MATHSPACE[r]*o}var n=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1"),q=n[2];if(p==null){p=1}if(l==null){l=1}if(q==="em"){return k*o}if(q==="ex"){return k*d.TeX.x_height*o}if(q==="%"){return k/100*p}if(q==="px"){return k/d.em}if(q==="pt"){return k/10*o}if(q==="pc"){return k*1.2*o}if(q==="in"){return k*this.pxPerInch/d.em}if(q==="cm"){return k*this.pxPerInch/d.em/2.54}if(q==="mm"){return k*this.pxPerInch/d.em/25.4}if(q==="mu"){return k/18*o*l}return k*o*p},thickness2em:function(l,k){var m=d.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(p){var m={top:0,right:0,bottom:0,left:0},n={},l=false;for(var q in m){if(m.hasOwnProperty(q)){var k="border"+q.charAt(0).toUpperCase()+q.substr(1);var o=p.style[k+"Style"];if(o){l=true;m[q]=this.length2em(p.style[k+"Width"]);n[k]=[p.style[k+"Width"],p.style[k+"Style"],p.style[k+"Color"]].join(" ")}}}m.css=n;return(l?m:false)},setBorders:function(k,l){if(l){for(var m in l.css){if(l.css.hasOwnProperty(m)){k.style[m]=l.css[m]}}}},createStrut:function(m,l,n){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:l+"px",width:"1px",marginRight:"-1px"}});if(n){m.insertBefore(k,m.firstChild)}else{m.appendChild(k)}return k},createBlank:function(l,k,m){var n=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(k)}});if(m){l.insertBefore(n,l.firstChild)}else{l.appendChild(n)}return n},createShift:function(l,k,n){var m=this.Element("span",{style:{marginLeft:this.Em(k)},isMathJax:true});if(n){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}return m},createSpace:function(p,n,o,q,m,s){if(n<-o){o=-n}var r=this.Em(n+o),k=this.Em(-o);if(this.msieInlineBlockAlignBug){k=this.Em(d.getHD(p.parentNode).d-o)}if(p.isBox||s){var l=(p.scale==null?1:p.scale);p.bbox={exactW:true,h:n*l,d:o*l,w:q*l,rw:q*l,lw:0};p.style.height=r;p.style.verticalAlign=k;p.HH=(n+o)*l}else{p=this.addElement(p,"span",{style:{height:r,verticalAlign:k},isMathJax:true})}if(q>=0){p.style.width=this.Em(q);p.style.display="inline-block";p.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){p.style.height=""}p.style.marginLeft=this.Em(q);if(d.safariNegativeSpaceBug&&p.parentNode.firstChild==p){this.createBlank(p,0,true)}}if(m&&m!==g.COLOR.TRANSPARENT){p.style.backgroundColor=m;p.style.position="relative"}return p},createRule:function(r,n,p,s,l){if(n<-p){p=-n}var m=d.TeX.min_rule_thickness,o=1;if(s>0&&s*this.em<m){s=m/this.em}if(n+p>0&&(n+p)*this.em<m){o=1/(n+p)*(m/this.em);n*=o;p*=o}if(!l){l="solid"}else{l="solid "+l}l=this.Em(s)+" "+l;var t=(o===1?this.Em(n+p):m+"px"),k=this.Em(-p);var q=this.addElement(r,"span",{style:{borderLeft:l,display:"inline-block",overflow:"hidden",width:0,height:t,verticalAlign:k},bbox:{h:n,d:p,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:n+p,isMathJax:true});if(s>0&&q.offsetWidth==0){q.style.width=this.Em(s)}if(r.isBox||r.className=="mspace"){r.bbox=q.bbox,r.HH=n+p}return q},createFrame:function(s,q,r,u,x,l){if(q<-r){r=-q}var p=2*x;if(this.msieFrameSizeBug){if(u<p){u=p}if(q+r<p){q=p-r}}if(this.msieBorderWidthBug){p=0}var v=this.Em(q+r-p),k=this.Em(-r-x),o=this.Em(u-p);var m=this.Em(x)+" "+l;var n=this.addElement(s,"span",{style:{border:m,display:"inline-block",overflow:"hidden",width:o,height:v},bbox:{h:q,d:r,w:u,rw:u,lw:0,exactW:true},noAdjust:true,HH:q+r,isMathJax:true});if(k){n.style.verticalAlign=k}return n},parentNode:function(l){var k=l.parentNode;if(k.nodeName.toLowerCase()==="a"){k=k.parentNode}return k},createStack:function(m,o,l){if(this.msiePaddingWidthBug){this.createStrut(m,0)}var n=String(l).match(/%$/);var k=(!n&&l!=null?l:0);m=this.addElement(m,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(n?"100%":this.Em(k)),height:0}});if(!o){m.parentNode.bbox=m.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:k,lw:this.BIGDIMEN,rw:(!n&&l!=null?l:-this.BIGDIMEN)};if(n){m.bbox.width=l}}return m},createBox:function(l,k){var m=this.addElement(l,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(k!=null){m.style.width=k}return m},addBox:function(k,l){l.style.position="absolute";l.isBox=l.isMathJax=true;return k.appendChild(l)},placeBox:function(u,s,q,o){u.isMathJax=true;var v=d.parentNode(u),C=u.bbox,z=v.bbox;if(this.msiePlaceBoxBug){this.addText(u,this.NBSP)}if(this.imgSpaceBug){this.addText(u,this.imgSpace)}var w,F=0;if(u.HH!=null){w=u.HH}else{if(C){w=Math.max(3,C.h+C.d)}else{w=u.offsetHeight/this.em}}if(!u.noAdjust){w+=1;w=Math.round(w*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(u,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(w)}})}else{this.addElement(u,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(w)}});if(d.chromeHeightBug){w-=(u.lastChild.offsetHeight-Math.round(w*this.em))/this.em}}}if(C){if(this.initialSkipBug){if(C.lw<0){F=C.lw;d.createBlank(u,-F,true)}if(C.rw>C.w){d.createBlank(u,C.rw-C.w+0.1)}}if(!this.msieClipRectBug&&!C.noclip&&!o){var B=3/this.em;var A=(C.H==null?C.h:C.H),m=(C.D==null?C.d:C.D);var E=w-A-B,p=w+m+B,n=C.lw-3*B,k=1000;if(this.initialSkipBug&&C.lw<0){n=-3*B}if(C.isFixed){k=C.width-n}u.style.clip="rect("+this.Em(E)+" "+this.Em(k)+" "+this.Em(p)+" "+this.Em(n)+")"}}u.style.top=this.Em(-q-w);u.style.left=this.Em(s+F);if(C&&z){if(C.H!=null&&(z.H==null||C.H+q>z.H)){z.H=C.H+q}if(C.D!=null&&(z.D==null||C.D-q>z.D)){z.D=C.D-q}if(C.h+q>z.h){z.h=C.h+q}if(C.d-q>z.d){z.d=C.d-q}if(z.H!=null&&z.H<=z.h){delete z.H}if(z.D!=null&&z.D<=z.d){delete z.D}if(C.w+s>z.w){z.w=C.w+s;if(z.width==null){v.style.width=this.Em(z.w)}}if(C.rw+s>z.rw){z.rw=C.rw+s}if(C.lw+s<z.lw){z.lw=C.lw+s}if(C.width!=null&&!C.isFixed){if(z.width==null){v.style.width=z.width="100%";if(C.minWidth){v.style.minWidth=z.minWidth=C.minWidth}}u.style.width=C.width}}},alignBox:function(n,t,s){this.placeBox(n,0,s);var p=n.bbox;if(p.isMultiline){return}var m=p.width!=null&&!p.isFixed;var o=0,q=-p.w/2,k="50%";if(this.initialSkipBug){o=p.w-p.rw-0.1;q+=p.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(m){q="";k=(50-parseFloat(p.width)/2)+"%"}b.Insert(n.style,({right:{left:"",right:this.Em(o)},center:{left:k,marginLeft:q}})[t])},setStackWidth:function(l,k){if(typeof(k)==="number"){l.style.width=this.Em(Math.max(0,k));var m=l.bbox;if(m){m.w=k;m.exactW=true}m=l.parentNode.bbox;if(m){m.w=k;m.exactW=true}}else{l.style.width=l.parentNode.style.width="100%";if(l.bbox){l.bbox.width=k}if(l.parentNode.bbox){l.parentNode.bbox.width=k}}},createDelimiter:function(u,k,n,q,o){if(!k){u.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};u.bbox.rw=u.bbox.w;this.createSpace(u,u.bbox.h,u.bbox.d,u.bbox.w);return}if(!q){q=1}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){b.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var s=0,p=l.HW.length;s<p;s++){if(l.HW[s][0]*q>=n-0.01||(s==p-1&&!l.stretch)){if(l.HW[s][2]){q*=l.HW[s][2]}if(l.HW[s][3]){k=l.HW[s][3]}var r=this.addElement(u,"span");this.createChar(r,[k,l.HW[s][1]],q,o);u.bbox=r.bbox;u.offset=0.65*u.bbox.w;u.scale=q;return}}if(l.stretch){this["extendDelimiter"+l.dir](u,t,l.stretch,q,o)}},extendDelimiterV:function(A,t,E,F,w){var o=this.createStack(A,true);var v=this.createBox(o),u=this.createBox(o);this.createChar(v,(E.top||E.ext),F,w);this.createChar(u,(E.bot||E.ext),F,w);var m={bbox:{w:0,lw:0,rw:0}},D=m,p;var B=v.bbox.h+v.bbox.d+u.bbox.h+u.bbox.d;var r=-v.bbox.h;this.placeBox(v,0,r,true);r-=v.bbox.d;if(E.mid){D=this.createBox(o);this.createChar(D,E.mid,F,w);B+=D.bbox.h+D.bbox.d}if(E.min&&t<B*E.min){t=B*E.min}if(t>B){m=this.Element("span");this.createChar(m,E.ext,F,w);var C=m.bbox.h+m.bbox.d,l=C-0.05,x,q,z=(E.mid?2:1);q=x=Math.min(Math.ceil((t-B)/(z*l)),this.maxStretchyParts);if(!E.fullExtenders){l=(t-B)/(z*x)}var s=(x/(x+1))*(C-l);l=C-s;r+=s+l-m.bbox.h;while(z-->0){while(x-->0){if(!this.msieCloneNodeBug){p=m.cloneNode(true)}else{p=this.Element("span");this.createChar(p,E.ext,F,w)}p.bbox=m.bbox;r-=l;this.placeBox(this.addBox(o,p),0,r,true)}r+=s-m.bbox.d;if(E.mid&&z){this.placeBox(D,0,r-D.bbox.h,true);x=q;r+=-(D.bbox.h+D.bbox.d)+s+l-m.bbox.h}}}else{r+=(B-t)/2;if(E.mid){this.placeBox(D,0,r-D.bbox.h,true);r+=-(D.bbox.h+D.bbox.d)}r+=(B-t)/2}this.placeBox(u,0,r-u.bbox.h,true);r-=u.bbox.h+u.bbox.d;A.bbox={w:Math.max(v.bbox.w,m.bbox.w,u.bbox.w,D.bbox.w),lw:Math.min(v.bbox.lw,m.bbox.lw,u.bbox.lw,D.bbox.lw),rw:Math.max(v.bbox.rw,m.bbox.rw,u.bbox.rw,D.bbox.rw),h:0,d:-r,exactW:true};A.scale=F;A.offset=0.55*A.bbox.w;A.isMultiChar=true;this.setStackWidth(o,A.bbox.w)},extendDelimiterH:function(B,o,E,G,y){var r=this.createStack(B,true);var p=this.createBox(r),C=this.createBox(r);this.createChar(p,(E.left||E.rep),G,y);this.createChar(C,(E.right||E.rep),G,y);var l=this.Element("span");this.createChar(l,E.rep,G,y);var D={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},m;this.placeBox(p,-p.bbox.lw,0,true);var u=(p.bbox.rw-p.bbox.lw)+(C.bbox.rw-C.bbox.lw)-0.05,t=p.bbox.rw-p.bbox.lw-0.025,v;if(E.mid){D=this.createBox(r);this.createChar(D,E.mid,G,y);u+=D.bbox.w}if(E.min&&o<u*E.min){o=u*E.min}if(o>u){var F=l.bbox.rw-l.bbox.lw,q=F-0.05,z,s,A=(E.mid?2:1);s=z=Math.min(Math.ceil((o-u)/(A*q)),this.maxStretchyParts);if(!E.fillExtenders){q=(o-u)/(A*z)}v=(z/(z+1))*(F-q);q=F-v;t-=l.bbox.lw+v;while(A-->0){while(z-->0){if(!this.cloneNodeBug){m=l.cloneNode(true)}else{m=this.Element("span");this.createChar(m,E.rep,G,y)}m.bbox=l.bbox;this.placeBox(this.addBox(r,m),t,0,true);t+=q}if(E.mid&&A){this.placeBox(D,t,0,true);t+=D.bbox.w-v;z=s}}}else{t-=(u-o)/2;if(E.mid){this.placeBox(D,t,0,true);t+=D.bbox.w}t-=(u-o)/2}this.placeBox(C,t,0,true);B.bbox={w:t+C.bbox.rw,lw:0,rw:t+C.bbox.rw,H:Math.max(p.bbox.h,l.bbox.h,C.bbox.h,D.bbox.h),D:Math.max(p.bbox.d,l.bbox.d,C.bbox.d,D.bbox.d),h:l.bbox.h,d:l.bbox.d,exactW:true};B.scale=G;B.isMultiChar=true;this.setStackWidth(r,B.bbox.w)},createChar:function(s,p,n,k){s.isMathJax=true;var r=s,t="",o={fonts:[p[1]],noRemap:true};if(k&&k===g.VARIANT.BOLD){o.fonts=[p[1]+"-bold",p[1]]}if(typeof(p[1])!=="string"){o=p[1]}if(p[0] instanceof Array){for(var q=0,l=p[0].length;q<l;q++){t+=String.fromCharCode(p[0][q])}}else{t=String.fromCharCode(p[0])}if(p[4]){n*=p[4]}if(n!==1||p[3]){r=this.addElement(s,"span",{style:{fontSize:this.Percent(n)},scale:n,isMathJax:true});this.handleVariant(r,o,t);s.bbox=r.bbox}else{this.handleVariant(s,o,t)}if(p[2]){s.style.marginLeft=this.Em(p[2])}if(p[3]){s.firstChild.style.verticalAlign=this.Em(p[3]);s.bbox.h+=p[3];if(s.bbox.h<0){s.bbox.h=0}}if(p[5]){s.bbox.h+=p[5]}if(p[6]){s.bbox.d+=p[6]}if(this.AccentBug&&s.bbox.w===0){r.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(l,k){k-=l.bbox.h;l.bbox.d-=k;l.bbox.h+=k;if(k){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&l.isMultiChar)){if(l.firstChild.style.display===""&&l.style.top!==""){l=l.firstChild;k-=d.unEm(l.style.top)}l.style.position="relative";l.style.top=this.Em(-k)}else{l.style.verticalAlign=this.Em(k);if(d.ffVerticalAlignBug){d.createRule(l.parentNode,l.bbox.h,0,0)}}}},handleVariant:function(A,p,s){var z="",x,C,t,D,k=A,l=!!A.style.fontFamily;if(s.length===0){return}if(!A.bbox){A.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!p){p=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}D=p;for(var B=0,y=s.length;B<y;B++){p=D;x=s.charCodeAt(B);C=s.charAt(B);if(x>=55296&&x<56319){B++;x=(((x-55296)<<10)+(s.charCodeAt(B)-56320))+65536;if(this.FONTDATA.RemapPlane1){var E=this.FONTDATA.RemapPlane1(x,p);x=E.n;p=E.variant}}else{var u,r,v=this.FONTDATA.RANGES;for(u=0,r=v.length;u<r;u++){if(v[u].name==="alpha"&&p.noLowerCase){continue}var q=p["offset"+v[u].offset];if(q&&x>=v[u].low&&x<=v[u].high){if(v[u].remap&&v[u].remap[x]){x=q+v[u].remap[x]}else{x=x-v[u].low+q;if(v[u].add){x+=v[u].add}}if(p["variant"+v[u].offset]){p=this.FONTDATA.VARIANT[p["variant"+v[u].offset]]}break}}}if(p.remap&&p.remap[x]){if(p.remap[x] instanceof Array){var o=p.remap[x];x=o[0];p=this.FONTDATA.VARIANT[o[1]]}else{if(typeof(p.remap[x])==="string"){s=p.remap[x]+s.substr(B+1);B=0;y=s.length;x=s.charCodeAt(0)}else{x=p.remap[x];if(p.remap.variant){p=this.FONTDATA.VARIANT[p.remap.variant]}}}}if(this.FONTDATA.REMAP[x]&&!p.noRemap){x=this.FONTDATA.REMAP[x];if(x instanceof Array){p=this.FONTDATA.VARIANT[x[1]];x=x[0]}if(typeof(x)==="string"){s=x+s.substr(B+1);B=0;y=s.length;x=x.charCodeAt(0)}}t=this.lookupChar(p,x);C=t[x];if(l||(!this.checkFont(t,k.style)&&!C[5].img)){if(z.length){this.addText(k,z);z=""}var w=!!k.style.fontFamily||!!A.style.fontStyle||!!A.style.fontWeight||!t.directory||l;l=false;if(k!==A){w=!this.checkFont(t,A.style);k=A}if(w){k=this.addElement(A,"span",{isMathJax:true,subSpan:true})}this.handleFont(k,t,k!==A)}z=this.handleChar(k,t,C,x,z);if(!(C[5]||{}).space){if(C[0]/1000>A.bbox.h){A.bbox.h=C[0]/1000}if(C[1]/1000>A.bbox.d){A.bbox.d=C[1]/1000}}if(A.bbox.w+C[3]/1000<A.bbox.lw){A.bbox.lw=A.bbox.w+C[3]/1000}if(A.bbox.w+C[4]/1000>A.bbox.rw){A.bbox.rw=A.bbox.w+C[4]/1000}A.bbox.w+=C[2]/1000}if(z.length){this.addText(k,z)}if(A.scale&&A.scale!==1){A.bbox.h*=A.scale;A.bbox.d*=A.scale;A.bbox.w*=A.scale;A.bbox.lw*=A.scale;A.bbox.rw*=A.scale}if(s.length==1&&t.skew&&t.skew[x]){A.bbox.skew=t.skew[x]}},checkFont:function(k,l){var m=(l.fontWeight||"normal");if(m.match(/^\d+$/)){m=(parseInt(m)>=600?"bold":"normal")}return(k.family.replace(/'/g,"")===l.fontFamily.replace(/'/g,"")&&(k.style||"normal")===(l.fontStyle||"normal")&&(k.weight||"normal")===m)},handleFont:function(m,k,o){m.style.fontFamily=k.family;if(!k.directory){m.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&k.isWebFont)){var l=k.style||"normal",n=k.weight||"normal";if(l!=="normal"||o){m.style.fontStyle=l}if(n!=="normal"||o){m.style.fontWeight=n}}},handleChar:function(l,k,s,r,q){var p=s[5];if(p.space){if(q.length){this.addText(l,q)}d.createShift(l,s[2]/1000);return""}if(p.img){return this.handleImg(l,k,s,r,q)}if(p.isUnknown&&this.FONTDATA.DELIMITERS[r]){if(q.length){this.addText(l,q)}var o=l.scale;d.createDelimiter(l,r,0,1,k);if(this.FONTDATA.DELIMITERS[r].dir==="V"){l.style.verticalAlign=this.Em(l.bbox.d);l.bbox.h+=l.bbox.d;l.bbox.d=0}l.scale=o;s[0]=l.bbox.h*1000;s[1]=l.bbox.d*1000;s[2]=l.bbox.w*1000;s[3]=l.bbox.lw*1000;s[4]=l.bbox.rw*1000;return""}if(p.c==null){if(r<=65535){p.c=String.fromCharCode(r)}else{var m=r-65536;p.c=String.fromCharCode((m>>10)+55296)+String.fromCharCode((m&1023)+56320)}}if(p.rfix){this.addText(l,q+p.c);d.createShift(l,p.rfix/1000);return""}if(s[2]||!this.msieAccentBug||q.length){return q+p.c}d.createShift(l,s[3]/1000);d.createShift(l,(s[4]-s[3])/1000);this.addText(l,p.c);d.createShift(l,-s[4]/1000);return""},handleImg:function(l,k,p,o,m){return m},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]]);r[q[o]].name=q[o]}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){if(l[s].length===5){l[s][5]={}}if(d.allowWebFonts&&!l.available){this.loadWebFont(l)}else{return l}}else{this.findBlock(l,s)}}return this.unknownChar(p,s)},unknownChar:function(k,m){var l=(k.defaultFont||{family:d.config.undefinedFamily});if(k.bold){l.weight="bold"}if(k.italic){l.style="italic"}if(!l[m]){l[m]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",m,k]);return l},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(l){var k=MathJax.Callback.Queue();k.Push(["Require",h,this.fontDir+"/"+l]);if(this.imgFonts){if(!MathJax.isPacked){l=l.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}k.Push(["Require",h,this.webfontDir+"/png/"+l])}b.RestartAfter(k.Push({}))},loadWebFont:function(k){k.available=k.isWebFont=true;if(d.FontFaceBug){k.family=k.name;if(d.msieFontCSSBug){k.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(k))},loadWebFontError:function(l,k){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");l.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);h.Require(this.directory+"/imageFonts.js",k)}else{this.allowWebFonts=false;k()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.type!="mrow"){o=this.HTMLhandleSize(o)}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o)}}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}if(this.HTMLlineBreaks(o)){o=this.HTMLmultiline(o)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){g.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(q,p,o,k){if(o==null){o=0}if(k==null){k=this.data.length}var n=q.bbox={exactW:true},r=[];while(o<k){var l=this.data[o];if(!l){continue}if(!p&&l.HTMLcanStretch("Vertical")){r.push(l);l=(l.CoreMO()||l)}this.HTMLcombineBBoxes(l,n);o++}this.HTMLcleanBBox(n);return r},HTMLcombineBBoxes:function(k,l){if(l.w==null){this.HTMLemptyBBox(l)}var n=(k.bbox?k:k.HTMLspanElement());if(!n||!n.bbox){return}var m=n.bbox;if(m.d>l.d){l.d=m.d}if(m.h>l.h){l.h=m.h}if(m.D!=null&&m.D>l.D){l.D=m.D}if(m.H!=null&&m.H>l.H){l.H=m.H}if(n.style.paddingLeft){l.w+=d.unEm(n.style.paddingLeft)*(n.scale||1)}if(l.w+m.lw<l.lw){l.lw=l.w+m.lw}if(l.w+m.rw>l.rw){l.rw=l.w+m.rw}l.w+=m.w;if(n.style.paddingRight){l.w+=d.unEm(n.style.paddingRight)*(n.scale||1)}if(m.width){l.width=m.width;l.minWidth=m.minWidth}if(m.ic){l.ic=m.ic}else{delete l.ic}if(l.exactW&&!m.exactW){delete l.exactW}},HTMLemptyBBox:function(k){k.h=k.d=k.H=k.D=k.rw=-d.BIGDIMEN;k.w=0;k.lw=d.BIGDIMEN;return k},HTMLcleanBBox:function(k){if(k.h===this.BIGDIMEN){k.h=k.d=k.H=k.D=k.w=k.rw=k.lw=0}if(k.D<=k.d){delete k.D}if(k.H<=k.h){delete k.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(l){if(this.isEmbellished()){var k=this.Core();if(k&&k!==this){return k.HTMLcanStretch(l)}}return false},HTMLstretchH:function(l,k){return this.HTMLspanElement()},HTMLstretchV:function(l,k,m){return this.HTMLspanElement()},HTMLnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},HTMLmeasureChild:function(l,k){if(this.data[l]){d.Measured(this.data[l].toHTML(k),k)}else{k.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(l,k){if(!this.data[l]){this.SetData(l,g.mrow())}return this.data[l].toHTML(k)},HTMLcreateSpan:function(k){if(this.spanID){var l=this.HTMLspanElement();if(l&&(l.parentNode===k||(l.parentNode||{}).parentNode===k)){while(l.firstChild){l.removeChild(l.firstChild)}l.bbox=this.HTMLzeroBBox();l.scale=1;l.isMultChar=l.HH=null;l.style.cssText="";return l}}if(this.href){k=d.addElement(k,"a",{href:this.href,isMathJax:true})}k=d.addElement(k,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){k.style.display="inline-block"}if(this["class"]){k.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}k.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;k.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){k.style.cssText=this.style;if(k.style.fontSize){this.mathsize=k.style.fontSize;k.style.fontSize=""}this.styles={border:d.getBorders(k),padding:d.getPadding(k)};if(this.styles.border){k.style.border=""}if(this.styles.padding){k.style.padding=""}}if(this.href){k.parentNode.bbox=k.bbox}return k},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(l,k,m){d.handleVariant(l,k,m)},HTMLhandleSize:function(k){if(!k.scale){k.scale=this.HTMLgetScale();if(k.scale!==1){k.style.fontSize=d.Percent(k.scale)}}return k},HTMLhandleDir:function(l){var k=this.Get("dir",true);if(k){l.dir=k}return l},HTMLhandleColor:function(w){var y=this.getValues("mathcolor","color");if(this.mathbackground){y.mathbackground=this.mathbackground}if(this.background){y.background=this.background}if(this.style&&w.style.backgroundColor){y.mathbackground=w.style.backgroundColor;w.style.backgroundColor="transparent"}var t=(this.styles||{}).border,v=(this.styles||{}).padding;if(y.color&&!this.mathcolor){y.mathcolor=y.color}if(y.background&&!this.mathbackground){y.mathbackground=y.background}if(y.mathcolor){w.style.color=y.mathcolor}if((y.mathbackground&&y.mathbackground!==g.COLOR.TRANSPARENT)||t||v){var A=w.bbox,z=(A.exact?0:1/d.em),u=0,s=0,m=w.style.paddingLeft,q=w.style.paddingRight;if(this.isToken){u=A.lw;s=A.rw-A.w}if(m!==""){u+=d.unEm(m)*(w.scale||1)}if(q!==""){s-=d.unEm(q)*(w.scale||1)}var l=(d.PaddingWidthBug||A.keepPadding||A.exactW?0:s-u);var o=Math.max(0,d.getW(w)+l);var x=A.h+A.d,k=-A.d,r=0,p=0;if(o>0){o+=2*z;u-=z}if(x>0){x+=2*z;k-=z}s=-o-u;if(t){s-=t.right;k-=t.bottom;r+=t.left;p+=t.right;A.h+=t.top;A.d+=t.bottom;A.w+=t.left+t.right;A.lw-=t.left;A.rw+=t.right}if(v){x+=v.top+v.bottom;o+=v.left+v.right;s-=v.right;k-=v.bottom;r+=v.left;p+=v.right;A.h+=v.top;A.d+=v.bottom;A.w+=v.left+v.right;A.lw-=v.left;A.rw+=v.right}if(p){w.style.paddingRight=d.Em(p)}var n=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:y.mathbackground,width:d.Em(o),height:d.Em(x),verticalAlign:d.Em(k),marginLeft:d.Em(u),marginRight:d.Em(s)}});d.setBorders(n,t);if(A.width){n.style.width=A.width;n.style.marginRight="-"+A.width}if(d.msieInlineBlockAlignBug){n.style.position="relative";n.style.width=n.style.height=0;n.style.verticalAlign=n.style.marginLeft=n.style.marginRight="";n.style.border=n.style.padding="";if(t&&d.msieBorderWidthBug){x+=t.top+t.bottom;o+=t.left+t.right}n.style.width=d.Em(r+z);d.placeBox(d.addElement(n,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(y.mathbackground||"transparent"),width:d.Em(o),height:d.Em(x)}}),u,A.h+z);d.setBorders(n.firstChild,t)}w.parentNode.insertBefore(n,w);if(d.msieColorPositionBug){w.style.position="relative"}return n}return null},HTMLremoveColor:function(){var k=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(k){k.parentNode.removeChild(k)}},HTMLhandleSpace:function(o){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.HTMLgetMu(o);m.lspace=Math.max(0,d.length2em(m.lspace,l));m.rspace=Math.max(0,d.length2em(m.rspace,l));var k=this,n=this.Parent();while(n&&n.isEmbellished()&&n.Core()===k){k=n;n=n.Parent();o=k.HTMLspanElement()}if(m.lspace){o.style.paddingLeft=d.Em(m.lspace)}if(m.rspace){o.style.paddingRight=d.Em(m.rspace)}}}else{var p=this.texSpacing();if(p!==""){p=d.length2em(p,this.HTMLgetScale())/(o.scale||1);if(o.style.paddingLeft){p+=d.unEm(o.style.paddingLeft)}o.style.paddingLeft=d.Em(p)}}},HTMLgetScale:function(){var m=1,k=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var l=this.HTMLspanElement();if(l.style.fontSize!=""){k.fontsize=l.style.fontSize}}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}m=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=d.length2em(this.Get("scriptminsize"));if(m<k.scriptminsize){m=k.scriptminsize}}if(this.isToken){m*=d.length2em(k.mathsize)}return m},HTMLgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},HTMLgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.style){var m=this.HTMLspanElement();if(!k.family&&m.style.fontFamily){k.family=m.style.fontFamily}if(!k.weight&&m.style.fontWeight){k.weight=m.style.fontWeight}if(!k.style&&m.style.fontStyle){k.style=m.style.fontStyle}}if(k.weight&&k.weight.match(/^\d+$/)){k.weight=(parseInt(k.weight)>600?"bold":"normal")}var l=k.mathvariant;if(this.variantForm){l="-"+d.fontInUse+"-variant"}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:k.family,style:k.style,weight:k.weight}}}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}if(!(l in d.FONTDATA.VARIANT)){l="normal"}return d.FONTDATA.VARIANT[l]}},{HTMLautoload:function(){var k=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(h.Require(k))},HTMLautoloadFile:function(k){var l=d.autoloadDir+"/"+k+".js";b.RestartAfter(h.Require(l))},HTMLstretchH:function(l,k){this.HTMLremoveColor();return this.toHTML(l,k)},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();return this.toHTML(l,k,m)}});g.chars.Augment({toHTML:function(n,m,l,o){var r=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.entity.Augment({toHTML:function(n,m,l,o){var r=this.toString().replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.mi.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}var q=this.data.join(""),p=o.bbox;if(p.skew&&q.length!==1){delete p.skew}if(p.rw>p.w&&q.length===1&&!n.noIC){p.ic=p.rw-p.w;d.createBlank(o,p.ic);p.w=p.rw}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mn.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mo.Augment({toHTML:function(u){u=this.HTMLhandleSize(this.HTMLcreateSpan(u));if(this.data.length==0){return u}else{u.bbox=null}var x=this.data.join("");var q=this.HTMLgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){q=d.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var v=this.CoreParent(),o=(v&&v.isa(g.msubsup)&&this!==v.data[v.base]),l=(o?this.HTMLremapChars:null);if(x.length===1&&v&&v.isa(g.munderover)&&this.CoreText(v.data[v.base]).length===1){var s=v.data[v.over],t=v.data[v.under];if(s&&this===s.CoreMO()&&v.Get("accent")){l=d.FONTDATA.REMAPACCENT}else{if(t&&this===t.CoreMO()&&v.Get("accentunder")){l=d.FONTDATA.REMAPACCENTUNDER}}}if(o&&x.match(/['`"\u00B4\u2032-\u2037\u2057]/)){q=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var r=0,n=this.data.length;r<n;r++){if(this.data[r]){this.data[r].toHTML(u,q,this.HTMLremap,l)}}if(!u.bbox){u.bbox=this.HTMLzeroBBox()}if(x.length!==1){delete u.bbox.skew}if(d.AccentBug&&u.bbox.w===0&&x.length===1&&u.firstChild){u.firstChild.nodeValue+=d.NBSP;d.createSpace(u,0,0,-u.offsetWidth/d.em)}if(w.largeop){var k=(u.bbox.h-u.bbox.d)/2-d.TeX.axis_height*u.scale;if(d.safariVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.lastChild.style.verticalAlign=d.Em(d.unEm(u.lastChild.style.verticalAlign||0)/d.em-k/u.scale)}else{if(d.konquerorVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.style.position="relative";u.lastChild.style.position="relative";u.lastChild.style.top=d.Em(k/u.scale)}else{u.style.verticalAlign=d.Em(-k/u.scale)}}u.bbox.h-=k;u.bbox.d+=k;if(u.bbox.rw>u.bbox.w){u.bbox.ic=u.bbox.rw-u.bbox.w;d.createBlank(u,u.bbox.ic);u.bbox.w=u.bbox.rw}}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);this.HTMLhandleDir(u);return u},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while((k.isa(g.mrow)||k.isa(g.TeXAtom)||k.isa(g.mstyle)||k.isa(g.mphantom))&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},HTMLcanStretch:function(n){if(!this.Get("stretchy")){return false}var o=this.data.join("");if(o.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var m=l.data[l.over],k=l.data[l.under];if(m&&this===m.CoreMO()&&l.Get("accent")){o=d.FONTDATA.REMAPACCENT[o]||o}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER[o]||o}}}o=d.FONTDATA.DELIMITERS[o.charCodeAt(0)];return(o&&o.dir==n.substr(0,1))},HTMLstretchV:function(m,n,o){this.HTMLremoveColor();var r=this.getValues("symmetric","maxsize","minsize");var p=this.HTMLspanElement(),s=this.HTMLgetMu(p),q;var k=d.TeX.axis_height,l=p.scale;if(r.symmetric){q=2*Math.max(n-k,o+k)}else{q=n+o}r.maxsize=d.length2em(r.maxsize,s,p.bbox.h+p.bbox.d);r.minsize=d.length2em(r.minsize,s,p.bbox.h+p.bbox.d);q=Math.max(r.minsize,Math.min(r.maxsize,q));p=this.HTMLcreateSpan(m);d.createDelimiter(p,this.data.join("").charCodeAt(0),q,l);if(r.symmetric){q=(p.bbox.h+p.bbox.d)/2+k}else{q=(p.bbox.h+p.bbox.d)*n/(n+o)}d.positionDelimiter(p,q);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p},HTMLstretchH:function(o,k){this.HTMLremoveColor();var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}var n=this.HTMLspanElement(),l=this.HTMLgetMu(n),p=n.scale;m.maxsize=d.length2em(m.maxsize,l,n.bbox.w);m.minsize=d.length2em(m.minsize,l,n.bbox.w);k=Math.max(m.minsize,Math.min(m.maxsize,k));n=this.HTMLcreateSpan(o);d.createDelimiter(n,this.data.join("").charCodeAt(0),k,p,m.mathvariant);this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});g.mtext.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));var n=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){n={bold:n.bold,italic:n.italic,fontInherit:true}}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.merror.Augment({toHTML:function(l){var n=MathJax.HTML.addElement(l,"span",{style:{display:"inline-block"}});l=this.SUPER(arguments).toHTML.call(this,n);var m=d.getHD(n),k=d.getW(n);n.bbox={h:m.h,d:m.d,w:k,lw:0,rw:k,exactW:true};n.id=l.id;l.id=null;return n}});g.ms.Augment({toHTML:g.mbase.HTMLautoload});g.mglyph.Augment({toHTML:g.mbase.HTMLautoload});g.mspace.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);var m=this.getValues("height","depth","width");var l=this.HTMLgetMu(o);m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var n=d.length2em(m.height,l),p=d.length2em(m.depth,l),k=d.length2em(m.width,l);d.createSpace(o,n,p,k,m.mathbackground,true);return o}});g.mphantom.Augment({toHTML:function(o,l,q){o=this.HTMLcreateSpan(o);if(this.data[0]!=null){var p=this.data[0].toHTML(o);if(q!=null){d.Remeasured(this.data[0].HTMLstretchV(o,l,q),o)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(o,l),o)}else{p=d.Measured(p,o)}}o.bbox={w:p.bbox.w,h:p.bbox.h,d:p.bbox.d,lw:0,rw:0,exactW:true};for(var n=0,k=o.childNodes.length;n<k;n++){o.childNodes[n].style.visibility="hidden"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mpadded.Augment({toHTML:function(s,m,k){s=this.HTMLcreateSpan(s);if(this.data[0]!=null){var q=d.createStack(s,true);var n=d.createBox(q);var l=this.data[0].toHTML(n);if(k!=null){d.Remeasured(this.data[0].HTMLstretchV(n,m,k),n)}else{if(m!=null){d.Remeasured(this.data[0].HTMLstretchH(n,m),n)}else{d.Measured(l,n)}}var t=this.getValues("height","depth","width","lspace","voffset"),r=0,p=0,u=this.HTMLgetMu(s);if(t.lspace){r=this.HTMLlength2em(n,t.lspace,u)}if(t.voffset){p=this.HTMLlength2em(n,t.voffset,u)}d.placeBox(n,r,p);s.bbox={h:n.bbox.h,d:n.bbox.d,w:n.bbox.w,exactW:true,lw:Math.min(0,n.bbox.lw+r),rw:Math.max(n.bbox.w,n.bbox.rw+r),H:Math.max((n.bbox.H==null?-d.BIGDIMEN:n.bbox.H),n.bbox.h+p),D:Math.max((n.bbox.D==null?-d.BIGDIMEN:n.bbox.D),n.bbox.d-p)};if(t.height!==""){s.bbox.h=this.HTMLlength2em(n,t.height,u,"h",0)}if(t.depth!==""){s.bbox.d=this.HTMLlength2em(n,t.depth,u,"d",0)}if(t.width!==""){s.bbox.w=this.HTMLlength2em(n,t.width,u,"w",0)}if(s.bbox.H<=s.bbox.h){delete s.bbox.H}if(s.bbox.D<=s.bbox.d){delete s.bbox.D}var o=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;s.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||o.exec(t.height)||o.exec(t.width)||o.exec(t.depth));d.setStackWidth(q,s.bbox.w)}this.HTMLhandleSpace(s);this.HTMLhandleColor(s);return s},HTMLlength2em:function(q,r,l,s,k){if(k==null){k=-d.BIGDIMEN}var o=String(r).match(/width|height|depth/);var p=(o?q.bbox[o[0].charAt(0)]:(s?q.bbox[s]:0));var n=d.length2em(r,l,p);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,q.bbox[s]+n)}else{return n}},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mrow.Augment({HTMLlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&k.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(m,k){this.HTMLremoveColor();var l=this.HTMLspanElement();this.data[this.core].HTMLstretchH(l,k);this.HTMLcomputeBBox(l,true);this.HTMLhandleColor(l);return l},HTMLstretchV:function(m,l,n){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchV(k,l,n);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k}});g.mstyle.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mfrac.Augment({toHTML:function(D){D=this.HTMLcreateSpan(D);var m=d.createStack(D);var r=d.createBox(m),o=d.createBox(m);d.MeasureSpans([this.HTMLboxChild(0,r),this.HTMLboxChild(1,o)]);var k=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var I=this.HTMLgetScale(),C=k.displaystyle;var G=d.TeX.axis_height*I;if(k.bevelled){var F=(C?0.4:0.15);var s=Math.max(r.bbox.h+r.bbox.d,o.bbox.h+o.bbox.d)+2*F;var E=d.createBox(m);d.createDelimiter(E,47,s);d.placeBox(r,0,(r.bbox.d-r.bbox.h)/2+G+F);d.placeBox(E,r.bbox.w-F/2,(E.bbox.d-E.bbox.h)/2+G);d.placeBox(o,r.bbox.w+E.bbox.w-F,(o.bbox.d-o.bbox.h)/2+G-F)}else{var l=Math.max(r.bbox.w,o.bbox.w);var y=d.thickness2em(k.linethickness,I),A,z,x,w;var B=d.TeX.min_rule_thickness/this.em;if(C){x=d.TeX.num1;w=d.TeX.denom1}else{x=(y===0?d.TeX.num3:d.TeX.num2);w=d.TeX.denom2}x*=I;w*=I;if(y===0){A=Math.max((C?7:3)*d.TeX.rule_thickness,2*B);z=(x-r.bbox.d)-(o.bbox.h-w);if(z<A){x+=(A-z)/2;w+=(A-z)/2}}else{A=Math.max((C?2:0)*B+y,y/2+1.5*B);z=(x-r.bbox.d)-(G+y/2);if(z<A){x+=A-z}z=(G-y/2)-(o.bbox.h-w);if(z<A){w+=A-z}var n=d.createBox(m);d.createRule(n,y,0,l+2*y);d.placeBox(n,0,G-y/2)}d.alignBox(r,k.numalign,x);d.alignBox(o,k.denomalign,-w)}this.HTMLhandleSpace(D);this.HTMLhandleColor(D);return D},HTMLcanStretch:function(k){return false},HTMLhandleSpace:function(k){if(!this.texWithDelims){var l=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;k.style.paddingLeft=d.Em(l);k.style.paddingRight=d.Em(0.12)}}});g.msqrt.Augment({toHTML:function(w){w=this.HTMLcreateSpan(w);var z=d.createStack(w);var n=d.createBox(z),u=d.createBox(z),s=d.createBox(z);var r=this.HTMLgetScale();var A=d.TeX.rule_thickness*r,m,l,y,o;if(this.Get("displaystyle")){m=d.TeX.x_height*r}else{m=A}l=Math.max(A+m/4,1.5*d.TeX.min_rule_thickness/this.em);var k=this.HTMLboxChild(0,n);y=k.bbox.h+k.bbox.d+l+A;d.createDelimiter(s,8730,y,r);d.MeasureSpans([k,s]);o=k.bbox.w;var v=0;if(s.isMultiChar||(d.AdjustSurd&&d.imgFonts)){s.bbox.w*=0.95}if(s.bbox.h+s.bbox.d>y){l=((s.bbox.h+s.bbox.d)-(y-A))/2}var B=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!B||o<B.HW[0][0]*r||r<0.75){d.createRule(u,0,A,o)}else{d.createDelimiter(u,d.FONTDATA.RULECHAR,o,r)}y=k.bbox.h+l+A;l=y*d.rfuzz;if(s.isMultiChar){l=d.rfuzz}v=this.HTMLaddRoot(z,s,v,s.bbox.h+s.bbox.d-y,r);d.placeBox(s,v,y-s.bbox.h);d.placeBox(u,v+s.bbox.w,y-u.bbox.h+l);d.placeBox(n,v+s.bbox.w,0);this.HTMLhandleSpace(w);this.HTMLhandleColor(w);return w},HTMLaddRoot:function(m,l,k,o,n){return k}});g.mroot.Augment({toHTML:g.msqrt.prototype.toHTML,HTMLaddRoot:function(s,l,q,o,k){var m=d.createBox(s);if(this.data[1]){var p=this.data[1].toHTML(m);p.style.paddingRight=p.style.paddingLeft="";d.Measured(p,m)}else{m.bbox=this.HTMLzeroBBox()}var n=this.HTMLrootHeight(l.bbox.h+l.bbox.d,k,m)-o;var r=Math.min(m.bbox.w,m.bbox.rw);q=Math.max(r,l.offset);d.placeBox(m,q-r,n);return q-l.offset},HTMLrootHeight:function(m,l,k){return 0.45*(m-0.9*l)+0.6*l+Math.max(0,k.bbox.d-0.075)}});g.mfenced.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.data.open){this.data.open.toHTML(o)}if(this.data[0]!=null){this.data[0].toHTML(o)}for(var l=1,k=this.data.length;l<k;l++){if(this.data[l]){if(this.data["sep"+l]){this.data["sep"+l].toHTML(o)}this.data[l].toHTML(o)}}if(this.data.close){this.data.close.toHTML(o)}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLcomputeBBox:function(p,o){var l=p.bbox={},q=[];this.HTMLcheckStretchy(this.data.open,l,q,o);this.HTMLcheckStretchy(this.data[0],l,q,o);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.HTMLcheckStretchy(this.data["sep"+n],l,q,o);this.HTMLcheckStretchy(this.data[n],l,q,o)}}this.HTMLcheckStretchy(this.data.close,l,q,o);this.HTMLcleanBBox(l);return q},HTMLcheckStretchy:function(k,l,n,m){if(k){if(!m&&k.HTMLcanStretch("Vertical")){n.push(k);k=(k.CoreMO()||k)}this.HTMLcombineBBoxes(k,l)}}});g.menclose.Augment({toHTML:g.mbase.HTMLautoload});g.maction.Augment({toHTML:g.mbase.HTMLautoload});g.semantics.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.munderover.Augment({toHTML:function(L,H,F){var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toHTML.call(this,L)}L=this.HTMLcreateSpan(L);var P=this.HTMLgetScale();var q=d.createStack(L);var r=[],o=[],N=[],w,M,I;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M]=d.createBox(q);o[M]=this.data[M].toHTML(w);if(M==this.base){if(F!=null){this.data[this.base].HTMLstretchV(w,H,F)}else{if(H!=null){this.data[this.base].HTMLstretchH(w,H)}}N[M]=(F==null&&H!=null?false:this.data[M].HTMLcanStretch("Horizontal"))}else{N[M]=this.data[M].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(o);var n=-d.BIGDIMEN,K=n;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]){if(r[M].bbox.w>K){K=r[M].bbox.w}if(!N[M]&&K>n){n=K}}}if(F==null&&H!=null){n=H}else{if(n==-d.BIGDIMEN){n=K}}for(M=K=0,I=this.data.length;M<I;M++){if(this.data[M]){w=r[M];if(N[M]){w.bbox=this.data[M].HTMLstretchH(w,n).bbox}if(w.bbox.w>K){K=w.bbox.w}}}var E=d.TeX.rule_thickness,G=d.FONTDATA.TeX_factor;var p=r[this.base]||{bbox:this.HTMLzeroBBox()};var v,s,A,z,u,C,J,O=0;if(p.bbox.ic){O=1.3*p.bbox.ic+0.05}for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M];u=d.TeX.big_op_spacing5*P;var B=(M!=this.base&&l[this.ACCENTS[M]]);if(B&&w.bbox.w<=1/d.em+0.0001){w.bbox.w=w.bbox.rw-w.bbox.lw;w.bbox.noclip=true;if(w.bbox.lw){w.insertBefore(d.createSpace(w.parentNode,0,0,-w.bbox.lw),w.firstChild)}d.createBlank(w,0,0,w.bbox.rw+0.1)}C={left:0,center:(K-w.bbox.w)/2,right:K-w.bbox.w}[l.align];v=C;s=0;if(M==this.over){if(B){J=Math.max(E*P*G,2.5/this.em);u=0;if(p.bbox.skew){v+=p.bbox.skew}}else{A=d.TeX.big_op_spacing1*P*G;z=d.TeX.big_op_spacing3*P*G;J=Math.max(A,z-Math.max(0,w.bbox.d))}J=Math.max(J,1.5/this.em);v+=O/2;s=p.bbox.h+w.bbox.d+J;w.bbox.h+=u}else{if(M==this.under){if(B){J=3*E*P*G;u=0}else{A=d.TeX.big_op_spacing2*P*G;z=d.TeX.big_op_spacing4*P*G;J=Math.max(A,z-w.bbox.h)}J=Math.max(J,1.5/this.em);v-=O/2;s=-(p.bbox.d+w.bbox.h+J);w.bbox.d+=u}}d.placeBox(w,v,s)}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);return L},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.msubsup.Augment({toHTML:function(K,I,C){K=this.HTMLcreateSpan(K);var N=this.HTMLgetScale(),H=this.HTMLgetMu(K);var w=d.createStack(K),l,n=[];var o=d.createBox(w);if(this.data[this.base]){n.push(this.data[this.base].toHTML(o));if(C!=null){this.data[this.base].HTMLstretchV(o,I,C)}else{if(I!=null){this.data[this.base].HTMLstretchH(o,I)}}}else{o.bbox=this.HTMLzeroBBox()}var L=d.TeX.x_height*N,B=d.TeX.scriptspace*N*0.75;var k,x;if(this.HTMLnotEmpty(this.data[this.sup])){k=d.createBox(w);n.push(this.data[this.sup].toHTML(k))}if(this.HTMLnotEmpty(this.data[this.sub])){x=d.createBox(w);n.push(this.data[this.sub].toHTML(x))}d.MeasureSpans(n);if(k){k.bbox.w+=B;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}if(x){x.bbox.w+=B;x.bbox.rw=Math.max(x.bbox.w,x.bbox.rw)}d.placeBox(o,0,0);var m;if(k){m=this.data[this.sup].HTMLgetScale()}else{if(x){m=this.data[this.sub].HTMLgetScale()}else{m=this.HTMLgetScale()}}var F=d.TeX.sup_drop*m,E=d.TeX.sub_drop*m;var z=o.bbox.h-F,y=o.bbox.d+E,M=0,G;if(o.bbox.ic){o.bbox.w-=o.bbox.ic;M=1.3*o.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&o.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=y=0}}var J=this.getValues("subscriptshift","superscriptshift");J.subscriptshift=(J.subscriptshift===""?0:d.length2em(J.subscriptshift,H));J.superscriptshift=(J.superscriptshift===""?0:d.length2em(J.superscriptshift,H));if(!k){if(x){y=Math.max(y,d.TeX.sub1*N,x.bbox.h-(4/5)*L,J.subscriptshift);d.placeBox(x,o.bbox.w,-y,x.bbox)}}else{if(!x){l=this.getValues("displaystyle","texprimestyle");G=d.TeX[(l.displaystyle?"sup1":(l.texprimestyle?"sup3":"sup2"))];z=Math.max(z,G*N,k.bbox.d+(1/4)*L,J.superscriptshift);d.placeBox(k,o.bbox.w+M,z,k.bbox)}else{y=Math.max(y,d.TeX.sub2*N);var A=d.TeX.rule_thickness*N;if((z-k.bbox.d)-(x.bbox.h-y)<3*A){y=3*A-z+k.bbox.d+x.bbox.h;F=(4/5)*L-(z-k.bbox.d);if(F>0){z+=F;y-=F}}d.placeBox(k,o.bbox.w+M,Math.max(z,J.superscriptshift));d.placeBox(x,o.bbox.w,-Math.max(y,J.subscriptshift))}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mmultiscripts.Augment({toHTML:g.mbase.HTMLautoload});g.mtable.Augment({toHTML:g.mbase.HTMLautoload});g["annotation-xml"].Augment({toHTML:g.mbase.HTMLautoload});g.math.Augment({toHTML:function(u,l){var r=this.Get("alttext");if(r&&r!==""){l.setAttribute("aria-label",r)}var m=d.addElement(u,"nobr",{isMathJax:true});u=this.HTMLcreateSpan(m);var s=d.createStack(u),n=d.createBox(s),t;s.style.fontSize=m.parentNode.style.fontSize;m.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}g.mbase.prototype.displayAlign=b.config.displayAlign;g.mbase.prototype.displayIndent=b.config.displayIndent;var o=this.data[0].toHTML(n);o.bbox.exactW=false;t=d.Measured(o,n)}d.placeBox(n,0,0);u.style.width=d.Em((Math.round(t.bbox.w*this.em)+0.25)/d.outerEm);u.style.display="inline-block";var k=1/d.em,q=d.em/d.outerEm;d.em/=q;u.bbox.h*=q;u.bbox.d*=q;u.bbox.w*=q;u.bbox.lw*=q;u.bbox.rw*=q;if(t&&t.bbox.width!=null){u.style.minWidth=(t.bbox.minWidth||u.style.width);u.style.width=s.style.width=t.bbox.width;n.style.width="100%"}this.HTMLhandleColor(u);if(t){d.createRule(u,(t.bbox.h+k)*q,(t.bbox.d+k)*q,0)}if(!this.isMultiline&&this.Get("display")==="block"&&u.bbox.width==null){var v=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(v.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){v.indentalign=v.indentalignfirst}if(v.indentalign===g.INDENTALIGN.AUTO){v.indentalign=this.displayAlign}l.style.textAlign=v.indentalign;if(v.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){v.indentshift=v.indentshiftfirst}if(v.indentshift==="auto"){v.indentshift=this.displayIndent}if(v.indentshift&&v.indentalign!==g.INDENTALIGN.CENTER){u.style[{left:"marginLeft",right:"marginRight"}[v.indentalign]]=d.Em(d.length2em(v.indentshift))}}return u},HTMLspanElement:g.mbase.prototype.HTMLspanElement});g.TeXAtom.Augment({toHTML:function(l){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){if(this.texClass===g.TEXCLASS.VCENTER){var k=d.createStack(l);var m=d.createBox(k);d.Measured(this.data[0].toHTML(m),m);d.placeBox(m,0,d.TeX.axis_height-(m.bbox.h+m.bbox.d)/2+m.bbox.d)}else{l.bbox=this.data[0].toHTML(l).bbox}}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(k){var o=(document.documentMode||0);var n=k.versionAtLeast("7.0");var m=k.versionAtLeast("8.0")&&o>7;var l=(document.compatMode==="BackCompat");if(o<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:l,msieDisappearingBug:(o>=8),msieMarginScaleBug:(o<8),msiePaddingWidthBug:true,msieBorderWidthBug:l,msieFrameSizeBug:(o<=8),msieInlineBlockAlignBug:(!m||l),msiePlaceBoxBug:(m&&!l),msieClipRectBug:!m,msieNegativeSpaceBug:l,cloneNodeBug:(m&&k.version==="8.0"),initialSkipBug:(o<8),msieNegativeBBoxBug:(o>=8),msieIE6:!n,msieItalicWidthBug:true,FontFaceBug:true,msieFontCSSBug:k.isIE9,allowWebFonts:(o>=9?"woff":"eot")})},Firefox:function(l){var m=false;if(l.versionAtLeast("3.5")){var k=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,k.length)===k){m="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:m})},Safari:function(p){var n=p.versionAtLeast("3.0");var m=p.versionAtLeast("3.1");var k=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var l=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var q=(m&&p.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!p.versionAtLeast("5.0"))||(l!=null&&(l[1]<2||(l[1]==2&&l[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!m,safariTextNodeBug:!n,forceReflow:true,allowWebFonts:(m&&!q?"otf":false)});if(k){d.Augment({webFontDefault:(p.isMobile?"sans-serif":"serif")})}if(p.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(q){var o=b.config["HTML-CSS"];if(o){o.availableFonts=[];o.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(k){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(k.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(k){k.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:k.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(k.versionAtLeast("10.0")&&!k.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(k){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aJ=K.width.match(/%$/);var ay=b.createStack(t);var aG=this.HTMLgetScale(),aA=this.HTMLgetMu(t),aB=-1;var aq=[],au=[],ak=[],aw=[],av=[],af,ae,ap=-1,ad,ao,Z,aF,R,aC,aO=[];var al=b.FONTDATA.baselineskip*aG*K.useHeight,aT,I=b.FONTDATA.lineH*aG,O=b.FONTDATA.lineD*aG;for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);aw[af]=[];aq[af]=au[af]=0;for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){if(ak[ae]==null){if(ae>ap){ap=ae}av[ae]=b.createStack(b.createBox(ay));ak[ae]=-b.BIGDIMEN}aw[af][ae]=b.createBox(av[ae]);aO.push(aF.data[ae-Z].toHTML(aw[af][ae]))}}b.MeasureSpans(aO);for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){R=aF.data[ae-Z];if(R.isMultiline){aw[af][ae].style.width="100%"}if(R.isEmbellished()){aC=R.CoreMO();var aS=aC.Get("minsize",true);if(aS){var aL=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aT=aL.h+aL.d;if(aT){aS=b.length2em(aS,aA,aT);if(aS*aL.h/aT>aq[af]){aq[af]=aS*aL.h/aT}if(aS*aL.d/aT>au[af]){au[af]=aS*aL.d/aT}}}else{if(aC.HTMLcanStretch("Horizontal")){aS=b.length2em(aS,aA,aL.w);if(aS>ak[ae]){ak[ae]=aS}}}}}if(aw[af][ae].bbox.h>aq[af]){aq[af]=aw[af][ae].bbox.h}if(aw[af][ae].bbox.d>au[af]){au[af]=aw[af][ae].bbox.d}if(aw[af][ae].bbox.w>ak[ae]){ak[ae]=aw[af][ae].bbox.w}}}if(aq[0]+au[0]){aq[0]=Math.max(aq[0],I)}if(aq[aw.length-1]+au[aw.length-1]){au[aw.length-1]=Math.max(au[aw.length-1],O)}var aE=MathJax.Hub.SplitList;var az=aE(K.columnspacing),aQ=aE(K.rowspacing),e=aE(K.columnalign),E=aE(K.rowalign),d=aE(K.columnlines),z=aE(K.rowlines),aM=aE(K.columnwidth),V=[];for(af=0,ad=az.length;af<ad;af++){az[af]=b.length2em(az[af],aA)}for(af=0,ad=aQ.length;af<ad;af++){aQ[af]=b.length2em(aQ[af],aA)}while(az.length<ap){az.push(az[az.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aM.length<=ap){aM.push(aM[aM.length-1])}while(aQ.length<aw.length){aQ.push(aQ[aQ.length-1])}while(E.length<=aw.length){E.push(E[E.length-1])}while(z.length<aw.length){z.push(z[z.length-1])}if(av[aB]){e[aB]=(K.side.substr(0,1)==="l"?"left":"right");az[aB]=-ak[aB]}for(af=0,ad=aw.length;af<ad;af++){aF=this.data[af];V[af]=[];if(aF.rowalign){E[af]=aF.rowalign}if(aF.columnalign){V[af]=aE(aF.columnalign);while(V[af].length<=ap){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aD=Math.max.apply(Math,aq),X=Math.max.apply(Math,au);for(af=0,ad=aw.length;af<ad;af++){Z=((aD+X)-(aq[af]+au[af]))/2;aq[af]+=Z;au[af]+=Z}}aT=aq[0]+au[aw.length-1];for(af=0,ad=aw.length-1;af<ad;af++){aT+=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}var aI=0,aH=0,aV,g=aT;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aE(K.framespacing);if(w.length!=2){w=aE(this.defaults.framespacing)}aI=b.length2em(w[0],aA);aH=b.length2em(w[1],aA);g=aT+2*aH}var aj,aU,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=aw.length+1+ab}if(ab<1){ab=1}else{if(ab>aw.length){ab=aw.length}}aj=0;aU=-(aT+aH)+aq[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af]);aj+=N;aU+=N}}else{aj=({top:-(aq[0]+aH),bottom:aT+aH-aq[0],center:aT/2-aq[0],baseline:aT/2-aq[0],axis:aT/2+b.TeX.axis_height*aG-aq[0]})[K.align];aU=({top:-(aT+2*aH),bottom:0,center:-(aT/2+aH),baseline:-(aT/2+aH),axis:b.TeX.axis_height*aG-aT/2-aH})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,an=[],at=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aJ){ac=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){aM[af]=ac}ac=0;ag=1;ah=ap+1;for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac+=az[af]}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}ac/=ap+1;for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){if(aM[af]==="auto"){B+=ak[af]}else{if(aM[af]==="fit"){at[ah]=af;ah++;B+=ak[af]}else{if(aM[af].match(/%$/)){an[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aM[af],aA,1)}else{ak[af]=b.length2em(aM[af],aA);B+=ak[af]}}}}if(aJ){ac=0;for(af=0,ad=Math.min(ap,az.length);af<ad;af++){ac+=az[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}}for(af=0,ad=an.length;af<ad;af++){ak[an[af]]=b.length2em(aM[an[af]],aA,ac*S);B+=ak[an[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=at.length;af<ad;af++){ak[at[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ap;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ap;ae++){ak[ae]=Q}}}}var T=aj,o,r,aR;Z=(av[aB]?aB:0);for(ae=Z;ae<=ap;ae++){for(af=0,ad=aw.length;af<ad;af++){if(aw[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aB:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){aw[af][ae].bbox=R.HTMLstretchH(av[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aC=R.CoreMO();var aK=aC.symmetric;aC.symmetric=false;aw[af][ae].bbox=R.HTMLstretchV(av[ae],aq[af],au[af]).bbox;aw[af][ae].HH=null;aC.symmetric=aK}}aR=R.rowalign||this.data[af].rowalign||E[af];o=({top:aq[af]-aw[af][ae].bbox.h,bottom:aw[af][ae].bbox.d-au[af],center:((aq[af]-au[af])-(aw[af][ae].bbox.h-aw[af][ae].bbox.d))/2,baseline:0,axis:0})[aR]||0;aR=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(aw[af][ae],aR,T+o)}if(af<aw.length-1){T-=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}}T=aj}if(aJ){var G=b.createBox(ay);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aI);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ay.bbox}var aP=0,aW=aI,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ap+1);l=B/(ap+1)}for(ae=0;ae<=ap;ae++){b.placeBox(av[ae].parentNode,0,0);av[ae].style.position="relative";av[ae].style.left=b.Em(aW);av[ae].style.width="100%";av[ae].parentNode.parentNode.removeChild(av[ae].parentNode);var am=b.createBox(G);b.addBox(am,av[ae]);av[ae]=am;var h=am.style;h.display="inline-block";h.left=aP+"%";if(aM[ae].match(/%$/)){var u=parseFloat(aM[ae])*S;if(ah===0){h.width=(k+u)+"%";aP+=k+u;am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l);aW-=l}else{h.width=u+"%";aP+=u}}else{if(aM[ae]==="fit"||ah===0){h.width=k+"%";am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l-ak[ae]);aW+=ak[ae]-l;aP+=k}else{h.width=b.Em(ak[ae]);aW+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(am.firstChild,b.NBSP);am.firstChild.style.position="relative"}aW+=az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createBox(G);r.style.left=aP+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ay.bbox;b.placeBox(r,aW-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}else{var U=aI;for(ae=0;ae<=ap;ae++){if(!av[ae].bbox.width){b.setStackWidth(av[ae],ak[ae])}if(aM[ae]!=="auto"&&aM[ae]!=="fit"){av[ae].bbox.width=ak[ae];av[ae].bbox.isFixed=true}b.placeBox(av[ae].parentNode,U,0);U+=ak[ae]+az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}ay.bbox.d=-aU;ay.bbox.h=g+aU;b.setStackWidth(ay,ay.bbox.w+aI);aV=ay.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ay,g,0,aV,1.25/b.em,K.frame);b.addBox(ay,ai);b.placeBox(ai,0,aU,true);if(aJ){ai.style.width="100%"}}T=aj;for(af=0,ad=aw.length-1;af<ad;af++){o=Math.max(al,au[af]+aq[af+1]+aQ[af]);if(z[af]!=="none"){r=b.createRule(ay,1.25/b.em,0,aV);b.addBox(ay,r);r.bbox={h:1.25/b.em,d:0,w:aV,rw:aV,lw:0};b.placeBox(r,0,T-au[af]-(o-au[af]-aq[af+1])/2,true);if(z[af]==="dashed"||aJ){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aJ){r.style.width="100%"}}}T-=o}if(aJ){t.bbox.width=K.width;ay.style.width="100%"}if(av[aB]){var ax=ay.bbox.w,q;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift=this.displayIndent}var aN=b.createStack(t,false,"100%");b.addBox(aN,ay);b.alignBox(ay,ar.indentalign,0);if(ar.indentshift&&ar.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(ar.indentshift,aA);ax+=q;ay.style[ar.indentalign]=b.Em(q)}av[aB].parentNode.parentNode.removeChild(av[aB].parentNode);b.addBox(aN,av[aB]);b.alignBox(av[aB],e[aB],0);if(b.msieRelativeWidthBug){ay.style.top=av[aB].style.top=""}if(aJ){ay.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,aA);av[aB].style.marginRight=av[aB].style.marginLeft=b.Em(q);if(ar.indentalign===a.INDENTALIGN.CENTER){ax+=4*q+2*av[aB].bbox.w}else{if(ar.indentalign!==e[aB]){ax+=2*q+av[aB].bbox.w}}t.style.minWidth=t.bbox.minWidth=aN.style.minWidth=aN.bbox.minWidth=b.Em(ax)}if(!aJ){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aJ){if(!ai){ai=b.createFrame(ay,g,0,aV,0,"none");b.addBox(ay,ai);b.placeBox(ai,0,aU,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aI=K.width.match(/%$/);var ax=b.createStack(t);var aF=this.HTMLgetScale(),az=this.HTMLgetMu(t),aA=-1;var ap=[],at=[],ak=[],av=[],au=[],af,ae,ao=-1,ad,an,Z,aE,R,aB,aN=[],aS;var I=b.FONTDATA.lineH*aF*K.useHeight,O=b.FONTDATA.lineD*aF*K.useHeight;for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);av[af]=[];ap[af]=I;at[af]=O;for(ae=Z,an=aE.data.length+Z;ae<an;ae++){if(ak[ae]==null){if(ae>ao){ao=ae}au[ae]=b.createStack(b.createBox(ax));ak[ae]=-b.BIGDIMEN}av[af][ae]=b.createBox(au[ae]);aN.push(aE.data[ae-Z].toHTML(av[af][ae]))}}b.MeasureSpans(aN);for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);for(ae=Z,an=aE.data.length+Z;ae<an;ae++){R=aE.data[ae-Z];if(R.isMultiline){av[af][ae].style.width="100%"}if(R.isEmbellished()){aB=R.CoreMO();var aR=aB.Get("minsize",true);if(aR){var aK=aB.HTMLspanElement().bbox;if(aB.HTMLcanStretch("Vertical")){aS=aK.h+aK.d;if(aS){aR=b.length2em(aR,az,aS);if(aR*aK.h/aS>ap[af]){ap[af]=aR*aK.h/aS}if(aR*aK.d/aS>at[af]){at[af]=aR*aK.d/aS}}}else{if(aB.HTMLcanStretch("Horizontal")){aR=b.length2em(aR,az,aK.w);if(aR>ak[ae]){ak[ae]=aR}}}}}if(av[af][ae].bbox.h>ap[af]){ap[af]=av[af][ae].bbox.h}if(av[af][ae].bbox.d>at[af]){at[af]=av[af][ae].bbox.d}if(av[af][ae].bbox.w>ak[ae]){ak[ae]=av[af][ae].bbox.w}}}var aD=MathJax.Hub.SplitList;var ay=aD(K.columnspacing),aP=aD(K.rowspacing),e=aD(K.columnalign),E=aD(K.rowalign),d=aD(K.columnlines),z=aD(K.rowlines),aL=aD(K.columnwidth),V=[];for(af=0,ad=ay.length;af<ad;af++){ay[af]=b.length2em(ay[af],az)}for(af=0,ad=aP.length;af<ad;af++){aP[af]=b.length2em(aP[af],az)}while(ay.length<ao){ay.push(ay[ay.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aL.length<=ao){aL.push(aL[aL.length-1])}while(aP.length<av.length){aP.push(aP[aP.length-1])}while(E.length<=av.length){E.push(E[E.length-1])}while(z.length<av.length){z.push(z[z.length-1])}if(au[aA]){e[aA]=(K.side.substr(0,1)==="l"?"left":"right");ay[aA]=-ak[aA]}for(af=0,ad=av.length;af<ad;af++){aE=this.data[af];V[af]=[];if(aE.rowalign){E[af]=aE.rowalign}if(aE.columnalign){V[af]=aD(aE.columnalign);while(V[af].length<=ao){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aC=Math.max.apply(Math,ap),X=Math.max.apply(Math,at);for(af=0,ad=av.length;af<ad;af++){Z=((aC+X)-(ap[af]+at[af]))/2;ap[af]+=Z;at[af]+=Z}}aS=ap[0]+at[av.length-1];for(af=0,ad=av.length-1;af<ad;af++){aS+=Math.max(0,at[af]+ap[af+1]+aP[af])}var aH=0,aG=0,aU,g=aS;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aD(K.framespacing);if(w.length!=2){w=aD(this.defaults.framespacing)}aH=b.length2em(w[0],az);aG=b.length2em(w[1],az);g=aS+2*aG}var aj,aT,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=av.length+1+ab}if(ab<1){ab=1}else{if(ab>av.length){ab=av.length}}aj=0;aT=-(aS+aG)+ap[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max(0,at[af]+ap[af+1]+aP[af]);aj+=N;aT+=N}}else{aj=({top:-(ap[0]+aG),bottom:aS+aG-ap[0],center:aS/2-ap[0],baseline:aS/2-ap[0],axis:aS/2+b.TeX.axis_height*aF-ap[0]})[K.align];aT=({top:-(aS+2*aG),bottom:0,center:-(aS/2+aG),baseline:-(aS/2+aG),axis:b.TeX.axis_height*aF-aS/2-aG})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,am=[],ar=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aI){ac=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){aL[af]=ac}ac=0;ag=1;ah=ao+1;for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac+=ay[af]}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}ac/=ao+1;for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){if(aL[af]==="auto"){B+=ak[af]}else{if(aL[af]==="fit"){ar[ah]=af;ah++;B+=ak[af]}else{if(aL[af].match(/%$/)){am[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aL[af],az,1)}else{ak[af]=b.length2em(aL[af],az);B+=ak[af]}}}}if(aI){ac=0;for(af=0,ad=Math.min(ao,ay.length);af<ad;af++){ac+=ay[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}}for(af=0,ad=am.length;af<ad;af++){ak[am[af]]=b.length2em(aL[am[af]],az,ac*S);B+=ak[am[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=ar.length;af<ad;af++){ak[ar[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ao;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ao;ae++){ak[ae]=Q}}}}var T=aj,o,r,aQ;Z=(au[aA]?aA:0);for(ae=Z;ae<=ao;ae++){for(af=0,ad=av.length;af<ad;af++){if(av[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aA:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){av[af][ae].bbox=R.HTMLstretchH(au[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aB=R.CoreMO();var aJ=aB.symmetric;aB.symmetric=false;av[af][ae].bbox=R.HTMLstretchV(au[ae],ap[af],at[af]).bbox;av[af][ae].HH=null;if(av[af][ae].bbox.h>ap[af]){av[af][ae].bbox.H=av[af][ae].bbox.h;av[af][ae].bbox.h=ap[af]}if(av[af][ae].bbox.d>at[af]){av[af][ae].bbox.D=av[af][ae].bbox.d;av[af][ae].bbox.d=at[af]}aB.symmetric=aJ}}aQ=R.rowalign||this.data[af].rowalign||E[af];o=({top:ap[af]-av[af][ae].bbox.h,bottom:av[af][ae].bbox.d-at[af],center:((ap[af]-at[af])-(av[af][ae].bbox.h-av[af][ae].bbox.d))/2,baseline:0,axis:0})[aQ]||0;aQ=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(av[af][ae],aQ,T+o)}if(af<av.length-1){T-=Math.max(0,at[af]+ap[af+1]+aP[af])}}T=aj}if(aI){var G=b.createBox(ax);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aH);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ax.bbox}var aO=0,aV=aH,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ao+1);l=B/(ao+1)}for(ae=0;ae<=ao;ae++){b.placeBox(au[ae].parentNode,0,0);au[ae].style.position="relative";au[ae].style.left=b.Em(aV);au[ae].style.width="100%";au[ae].parentNode.parentNode.removeChild(au[ae].parentNode);var al=b.createBox(G);b.addBox(al,au[ae]);au[ae]=al;var h=al.style;h.display="inline-block";h.left=aO+"%";if(aL[ae].match(/%$/)){var u=parseFloat(aL[ae])*S;if(ah===0){h.width=(k+u)+"%";aO+=k+u;al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l);aV-=l}else{h.width=u+"%";aO+=u}}else{if(aL[ae]==="fit"||ah===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l-ak[ae]);aV+=ak[ae]-l;aO+=k}else{h.width=b.Em(ak[ae]);aV+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}aV+=ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createBox(G);r.style.left=aO+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ax.bbox;b.placeBox(r,aV-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}else{var U=aH;for(ae=0;ae<=ao;ae++){if(!au[ae].bbox.width){b.setStackWidth(au[ae],ak[ae])}if(aL[ae]!=="auto"&&aL[ae]!=="fit"){au[ae].bbox.width=ak[ae];au[ae].bbox.isFixed=true}b.placeBox(au[ae].parentNode,U,0);U+=ak[ae]+ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}ax.bbox.d=-aT;ax.bbox.h=g+aT;b.setStackWidth(ax,ax.bbox.w+aH);aU=ax.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ax,g,0,aU,1.25/b.em,K.frame);b.addBox(ax,ai);b.placeBox(ai,0,aT,true);if(aI){ai.style.width="100%"}}T=aj;for(af=0,ad=av.length-1;af<ad;af++){o=Math.max(0,at[af]+ap[af+1]+aP[af]);if(z[af]!=="none"){r=b.createRule(ax,1.25/b.em,0,aU);b.addBox(ax,r);r.bbox={h:1.25/b.em,d:0,w:aU,rw:aU,lw:0};b.placeBox(r,0,T-at[af]-(o-at[af]-ap[af+1])/2,true);if(z[af]==="dashed"||aI){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aI){r.style.width="100%"}}}T-=o}if(aI){t.bbox.width=K.width;ax.style.width="100%"}if(au[aA]){var aw=ax.bbox.w,q;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift=this.displayIndent}var aM=b.createStack(t,false,"100%");b.addBox(aM,ax);b.alignBox(ax,aq.indentalign,0);if(aq.indentshift&&aq.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(aq.indentshift,az);aw+=q;ax.style[aq.indentalign]=b.Em(q)}au[aA].parentNode.parentNode.removeChild(au[aA].parentNode);b.addBox(aM,au[aA]);b.alignBox(au[aA],e[aA],0);if(b.msieRelativeWidthBug){ax.style.top=au[aA].style.top=""}if(aI){ax.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,az);au[aA].style.marginRight=au[aA].style.marginLeft=b.Em(q);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*q+2*au[aA].bbox.w}else{if(aq.indentalign!==e[aA]){aw+=2*q+au[aA].bbox.w}}t.style.minWidth=t.bbox.minWidth=aM.style.minWidth=aM.bbox.minWidth=b.Em(aw)}if(!aI){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aI){if(!ai){ai=b.createFrame(ax,g,0,aU,0,"none");b.addBox(ax,ai);b.placeBox(ai,0,aT,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 MathJax.Ajax.loadComplete("[MathJax]/config/Accessible-full.js");
diff --git a/config/Accessible.js b/config/Accessible.js
index 370a0fd4f..a6caf5ab9 100644
--- a/config/Accessible.js
+++ b/config/Accessible.js
@@ -49,22 +49,22 @@ MathJax.Hub.Config({
   
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 MathJax.Ajax.loadComplete("[MathJax]/config/Accessible.js");
diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
index 526128f5d..37323c04b 100644
--- a/config/MML_HTMLorMML-full.js
+++ b/config/MML_HTMLorMML-full.js
@@ -33,18 +33,18 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline"},"div.MathJax_MathML":{display:"block"},".MathJax_mmlExBox":{display:"block",overflow:"hidden",height:"1px",width:"60ex",padding:0,border:0,margin:0}}},settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!i){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(i){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame"),n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.style.width=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(p){var t=this.defaults;var v=(this.attrNames||f.copyAttributeNames),r=f.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){t=f.math.prototype.defaults}for(var u in t){if(!r[u]&&t.hasOwnProperty(u)){if(this[u]!=null){p.setAttribute(u,this.NativeMMLattribute(this[u]))}}}}for(var q=0,o=v.length;q<o;q++){var s=(this.attr||{})[v[q]];if(s==null){s=this[v[q]]}if(s!=null){p.setAttribute(v[q],this.NativeMMLattribute(s))}}this.NativeMMLclass(p)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(i?document.createElement("m:"+o):document.createElementNS(l.MMLnamespace,o));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}})}f.math.Augment({toNativeMML:function(v){var x=this.NativeMMLelement(this.type),u=x,p;var t,r;l.adjustWidths=[];x.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(x);if(l.widthBug){x=x.appendChild(this.NativeMMLelement("mrow"))}for(t=0,r=this.data.length;t<r;t++){if(this.data[t]){this.data[t].toNativeMML(x)}else{x.appendChild(this.NativeMMLelement("mrow"))}}var s=((this.data[0]||[]).data[0]||{});if(s.nMMLhasLabels){if(s.nMMLforceWidth||!s.nMMLlaMatch){x.setAttribute("style","width:100%");v.style.width=v.parentNode.style.width="100%"}if(s.nMMLlaMatch){if(v.parentNode.parentNode.nodeName.toLowerCase()==="div"){v.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}v.appendChild(u);if(l.widthBug&&!(s.nMMLhasLabels&&(s.nMMLforceWidth||!s.nMMLlaMatch))){v.style.width=(u.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";p=c.getJaxFor(v);if(p){p.NativeMML.scrollWidth=u.firstChild.scrollWidth}}if(l.adjustWidths.length){var w=[];for(t=0,r=l.adjustWidths.length;t<r;t++){x=l.adjustWidths[t];var o=x.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){w.push(x.scrollWidth);var q=(x.scrollWidth/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");x.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(v)}if(p){p.NativeMML.mtds=w}u.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}base=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(base);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}base=o}q.appendChild(base);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,base)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.operaPositionBug=true;l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=true;l.widthBug=true;l.spaceWidthBug=!m.versionAtLeast("20.0");l.mtdWidthBug=true;l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(h,b,d){var g,i=b.Browser.isMobile;var e=function(){var k=[].slice.call(arguments,0);k[0][0]=["HTML-CSS",k[0][0]];return MathJax.Message.Set.apply(MathJax.Message,k)};var f=MathJax.Object.Subclass({timeout:(i?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"},"STIX-Web":{family:"STIXWeb_Size1",testString:"() {} []"},"Asana-Math":{family:"AsanaMath_Size1",testString:"() {} []"},"Gyre-Pagella":{family:"GyrePagella_Size1",testString:"() {} []"},"Gyre-Termes":{family:"GyreTermes_Size1",testString:"() {} []"},"Latin-Modern":{family:"LatinModern_Size1",testString:"() {} []"},"Neo-Euler":{family:"NeoEuler_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(o,l){if(l&&this.testCollection(l)){return l}for(var n=0,k=o.length;n<k;n++){if(o[n]===l){continue}if(this.testCollection(o[n])){return o[n]}}return null},testCollection:function(k){return this.testFont(this.FontInfo[k])},testFont:function(n){if(n.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(n.weight||"normal");this.div.style.fontStyle=(n.style||"normal")}var l=this.getComparisonWidths(n.testString,n.noStyleChar);if(l){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==l[0]){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[l[2]];if(this.div.offsetWidth==l[1]){return false}}if(this.div.offsetWidth!=l[3]||this.div.offsetHeight!=l[4]){if(n.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var o=0,k=this.testSize.length;o<k;o++){if(this.testStyleChar(n,this.testSize[o])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(m,p){var s=3+(m.weight?2:0)+(m.style?4:0);var l="",o=0;var r=this.div.style.fontSize;this.div.style.fontSize=p;if(d.msieItalicWidthBug&&m.style==="italic"){this.text.nodeValue=l=this.compChar;o=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+l}else{this.text.nodeValue=this.compChar+l}var k=this.div.offsetWidth-o;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+l}else{this.text.nodeValue=this.styleChar+l}var q=Math.floor((this.div.offsetWidth-o)/k+0.5);if(q===s){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+l}else{this.text.nodeValue=this.versionChar+l}m.version=Math.floor((this.div.offsetWidth-o)/k+1.5)/2}this.div.style.fontSize=r;return(q===s)},getComparisonWidths:function(p,n){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!n){p+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=p}else{this.text.nodeValue=p}this.div.style.fontFamily=this.comparisonFont[0];var l=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var r=this.div.offsetWidth,o=this.div.offsetHeight;for(var q=1,k=this.comparisonFont.length;q<k;q++){this.div.style.fontFamily=this.comparisonFont[q];if(this.div.offsetWidth!=l){return[l,this.div.offsetWidth,q,r,o]}}return null},loadWebFont:function(l){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+l.directory);var o=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+l.directory]);var k=MathJax.Callback({});var m=MathJax.Callback(["loadComplete",this,l,o,k]);h.timer.start(h,[this.checkWebFont,l,m],0,this.timeout);return k},loadComplete:function(m,p,l,k){MathJax.Message.Clear(p);if(k===h.STATUS.OK){this.webFontLoaded=true;l();return}this.loadError(m);if(b.Browser.isFirefox&&d.allowWebFonts){var o=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){o+=":"+document.location.port}o+="/";if(h.fileURL(d.webfontDir).substr(0,o.length)!==o){this.firefoxFontError(m)}}if(!this.webFontLoaded){d.loadWebFontError(m,l)}else{l()}},loadError:function(k){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+k.directory],null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+k.directory,k])},firefoxFontError:function(k){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(k,l,m){if(k.time(m)){return}if(d.Font.testFont(l)){m(k.STATUS.OK)}else{setTimeout(k,k.delay)}},fontFace:function(m){var n=d.allowWebFonts;var p=d.FONTDATA.FONTS[m];if(d.msieFontCSSBug&&!p.family.match(/-Web$/)){p.family+="-Web"}var l=h.fileURL(d.webfontDir+"/"+n);var k=m.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!k.match(/-/)){k+="-Regular"}if(n==="svg"){k+=".svg#"+k}else{k+="."+n}var o={"font-family":p.family,src:"url('"+l+"/"+k+"')"};if(n==="otf"){o.src+=" format('opentype')";l=h.fileURL(d.webfontDir+"/woff");o.src="url('"+l+"/"+k.replace(/otf$/,"woff")+"') format('woff'), "+o.src}else{if(n!=="eot"){o.src+=" format('"+n+"')"}}if(!(d.FontFaceBug&&p.isWebFont)){if(m.match(/-bold/)){o["font-weight"]="bold"}if(m.match(/-italic/)){o["font-style"]="italic"}}return o}});var j,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var l=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(l.scale){this.config.scale=l.scale}if(l.font&&l.font!=="Auto"){if(l.font==="TeXLocal"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(l.font==="TeXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(l.font==="TeXimage"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}else{if(l.font==="STIXlocal"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="STIX-Web"}else{if(l.font==="STIXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="STIX-Web"}else{if(l.font==="AsanaMathWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Asana-Math"}else{if(l.font==="GyrePagellaWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Pagella"}else{if(l.font==="GyreTermesWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Termes"}else{if(l.font==="LatinModernWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Latin-Modern"}else{if(l.font==="NeoEulerWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Neo-Euler"}}}}}}}}}}}var k=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!k&&this.allowWebFonts){k=this.config.webFont;if(k){this.webFonts=true}}if(!k&&this.config.imageFont){k=this.config.imageFont;this.imgFonts=true}if(k){this.fontInUse=k;this.fontDir+="/"+k;this.webfontDir+="/"+k;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);this.fontInUse="generic";this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{fonts:[]},"-largeOp":{fonts:[]},"-smallOp":{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var l=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=l.offsetWidth/5;this.hiddenDiv.removeChild(l);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(k){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(n){for(var l=0,k=n.length;l<k;l++){if(n[l]==="STIX"){n.splice(l,1);k--;l--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=n[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var l=0,k=d.config.preloadWebFonts.length;l<k;l++){var n=d.FONTDATA.FONTS[d.config.preloadWebFonts[l]];if(!n.available){d.Font.testFont(n)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(o){var u=o.jax[this.id],v,r=u.length,z,t,A,n,y,l,x,q,s,k,w=false,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}t=z.previousSibling;if(t&&String(t.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)){t.parentNode.removeChild(t)}l=z.MathJax.elementJax;if(!l){continue}l.HTMLCSS={display:(l.root.Get("display")==="block")};A=n=this.Element("span",{className:"MathJax",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick});if(b.Browser.noContextMenu){A.ontouchstart=a.start;A.ontouchend=a.end}if(l.HTMLCSS.display){n=this.Element("div",{className:"MathJax_Display"});n.appendChild(A)}else{if(this.msieDisappearingBug){A.style.display="inline-block"}}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.EmExSpan.cloneNode(true),z);if(w){n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;q=y.lastChild.firstChild.offsetHeight/60;if(w){k=n.previousSibling.firstChild.offsetWidth}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.HTMLCSS.isHidden=true;x=this.defaultEx;q=this.defaultEm;if(w){k=this.defaultWidth}}s=(this.config.matchFontHeight?x/this.TeX.x_height/q:1);s=Math.floor(Math.max(this.config.minScaleAdjust/100,s)*this.config.scale);l.HTMLCSS.scale=s/100;l.HTMLCSS.fontSize=s+"%";l.HTMLCSS.em=l.HTMLCSS.outerEm=q;this.em=q*s/100;l.HTMLCSS.ex=x;l.HTMLCSS.lineWidth=(B?this.length2em(p,1,k/this.em):1000000)}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=u[v].previousSibling;l=u[v].MathJax.elementJax;if(!l){continue}if(w){A=y.previousSibling;if(!l.HTMLCSS.isHidden){A=A.previousSibling}A.parentNode.removeChild(A)}y.parentNode.removeChild(y)}o.HTMLCSSeqn=o.HTMLCSSlast=0;o.HTMLCSSi=-1;o.HTMLCSSchunk=this.config.EqnChunk;o.HTMLCSSdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.HTMLCSSdelay){p.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.HTMLCSS.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.HTMLCSS.em*k.HTMLCSS.scale;this.outerEm=k.HTMLCSS.em;this.scale=k.HTMLCSS.scale;this.linebreakWidth=k.HTMLCSS.lineWidth;if(this.scale!==1){m.style.fontSize=k.HTMLCSS.fontSize}this.initImg(m);this.initHTML(o,m);o.setTeXclass();try{o.toHTML(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}if(k.HTMLCSS.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_Processed";if(l.MathJax.preview){k.HTMLCSS.preview=l.MathJax.preview;delete l.MathJax.preview}p.HTMLCSSeqn+=(p.i-p.HTMLCSSi);p.HTMLCSSi=p.i;if(p.HTMLCSSeqn>=p.HTMLCSSlast+p.HTMLCSSchunk){this.postTranslate(p,true);p.HTMLCSSchunk=Math.floor(p.HTMLCSSchunk*this.config.EqnChunkFactor);p.HTMLCSSdelay=true}}},postTranslate:function(s,o){var l=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=s.HTMLCSSlast,k=s.HTMLCSSeqn;q<k;q++){var n=l[q];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var r=n.MathJax.elementJax.HTMLCSS;if(r.preview){r.preview.innerHTML="";n.MathJax.preview=r.preview;delete r.preview}}}if(this.forceReflow){var p=(document.styleSheets||[])[0]||{};p.disabled=true;p.disabled=false}s.HTMLCSSlast=s.HTMLCSSeqn},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return b.getJaxFor(k)},getHoverSpan:function(k,l){return k.root.HTMLspanElement()},getHoverBBox:function(k,n,o){var p=n.bbox,m=k.HTMLCSS.outerEm;var l={w:p.w*m,h:p.h*m,d:p.d*m};if(p.width){l.width=p.width}return l},Zoom:function(l,v,u,k,s){v.className="MathJax";v.style.fontSize=l.HTMLCSS.fontSize;var x=v.appendChild(this.EmExSpan.cloneNode(true));var o=x.lastChild.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o;this.outerEm=o/l.HTMLCSS.scale;x.parentNode.removeChild(x);this.idPostfix="-zoom";l.root.toHTML(v,v);this.idPostfix="";var n=l.root.HTMLspanElement().bbox.width;if(n){v.style.width=Math.floor(k-1.5*d.em)+"px";v.style.display="inline-block";var m=(l.root.id||"MathJax-Span-"+l.root.spanID)+"-zoom";var p=document.getElementById(m).firstChild;while(p&&p.style.width!==n){p=p.nextSibling}if(p){p.style.width="100%"}}v.style.position="absolute";if(!n){u.style.position="absolute"}var t=v.offsetWidth,r=v.offsetHeight,w=u.offsetHeight,q=u.offsetWidth;if(q===0){q=u.parentNode.offsetWidth}v.style.position=u.style.position="";return{Y:-j.getBBox(v).h,mW:q,mH:w,zW:t,zH:r}},initImg:function(k){},initHTML:function(l,k){},initFont:function(k){var m=d.FONTDATA.FONTS,l=d.config.availableFonts;if(l&&l.length&&d.Font.testFont(m[k])){m[k].available=true;return null}if(!this.allowWebFonts){return null}m[k].isWebFont=true;if(d.FontFaceBug){m[k].family=k;if(d.msieFontCSSBug){m[k].family+="-Web"}}return h.Styles({"@font-face":this.Font.fontFace(k)})},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.HTMLCSS.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.HTMLCSS},getHD:function(l){var k=l.style.position;l.style.position="absolute";this.HDimg.style.height="0px";l.appendChild(this.HDspan);var m={h:l.offsetHeight};this.HDimg.style.height=m.h+"px";m.d=l.offsetHeight-m.h;m.h-=m.d;m.h/=this.em;m.d/=this.em;l.removeChild(this.HDspan);l.style.position=k;return m},getW:function(o){var l,n,m=(o.bbox||{}).w,p=o;if(o.bbox&&o.bbox.exactW){return m}if((o.bbox&&m>=0&&!this.initialSkipBug)||this.negativeBBoxes||!o.firstChild){l=o.offsetWidth;n=o.parentNode.offsetHeight}else{if(o.bbox&&m<0&&this.msieNegativeBBoxBug){l=-o.offsetWidth,n=o.parentNode.offsetHeight}else{if(this.initialSkipBug){var k=o.style.position;o.style.position="absolute";p=this.startMarker;o.insertBefore(p,o.firstChild)}o.appendChild(this.endMarker);l=this.endMarker.offsetLeft-p.offsetLeft;o.removeChild(this.endMarker);if(this.initialSkipBug){o.removeChild(p);o.style.position=k}}}if(n!=null){o.parentNode.HH=n/this.em}return l/this.em},Measured:function(m,l){var n=m.bbox;if(n.width==null&&n.w&&!n.isMultiline){var k=this.getW(m);n.rw+=k-n.w;n.w=k;n.exactW=true}if(!l){l=m.parentNode}if(!l.bbox){l.bbox=n}return m},Remeasured:function(l,k){k.bbox=this.Measured(l,k).bbox},MeasureSpans:function(o){var r=[],t,q,n,u,k,p,l,s;for(q=0,n=o.length;q<n;q++){t=o[q];if(!t){continue}u=t.bbox;s=this.parentNode(t);if(u.exactW||u.width||u.w===0||u.isMultiline){if(!s.bbox){s.bbox=u}continue}if(this.negativeBBoxes||!t.firstChild||(u.w>=0&&!this.initialSkipBug)||(u.w<0&&this.msieNegativeBBoxBug)){r.push([t])}else{if(this.initialSkipBug){k=this.startMarker.cloneNode(true);p=this.endMarker.cloneNode(true);t.insertBefore(k,t.firstChild);t.appendChild(p);r.push([t,k,p,t.style.position]);t.style.position="absolute"}else{p=this.endMarker.cloneNode(true);t.appendChild(p);r.push([t,null,p])}}}for(q=0,n=r.length;q<n;q++){t=r[q][0];u=t.bbox;s=this.parentNode(t);if((u.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!t.firstChild){l=t.offsetWidth;s.HH=s.offsetHeight/this.em}else{if(u.w<0&&this.msieNegativeBBoxBug){l=-t.offsetWidth,s.HH=s.offsetHeight/this.em}else{l=r[q][2].offsetLeft-((r[q][1]||{}).offsetLeft||0)}}l/=this.em;u.rw+=l-u.w;u.w=l;u.exactW=true;if(!s.bbox){s.bbox=u}}for(q=0,n=r.length;q<n;q++){t=r[q];if(t[1]){t[1].parentNode.removeChild(t[1]),t[0].style.position=t[3]}if(t[2]){t[2].parentNode.removeChild(t[2])}}},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(k){k=(Math.round(k*d.em)+0.05)/d.em;if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(k){return parseFloat(k)},Px:function(k){k*=this.em;var l=(k<0?"-":"");return l+Math.abs(k).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(k){return parseFloat(k)/this.em},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(r,l,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===g.SIZE.NORMAL){return 1}if(r===g.SIZE.BIG){return 2}if(r===g.SIZE.SMALL){return 0.71}if(r==="infinity"){return d.BIGDIMEN}var o=this.FONTDATA.TeX_factor;if(r.match(/mathspace$/)){return d.MATHSPACE[r]*o}var n=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1"),q=n[2];if(p==null){p=1}if(l==null){l=1}if(q==="em"){return k*o}if(q==="ex"){return k*d.TeX.x_height*o}if(q==="%"){return k/100*p}if(q==="px"){return k/d.em}if(q==="pt"){return k/10*o}if(q==="pc"){return k*1.2*o}if(q==="in"){return k*this.pxPerInch/d.em}if(q==="cm"){return k*this.pxPerInch/d.em/2.54}if(q==="mm"){return k*this.pxPerInch/d.em/25.4}if(q==="mu"){return k/18*o*l}return k*o*p},thickness2em:function(l,k){var m=d.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(p){var m={top:0,right:0,bottom:0,left:0},n={},l=false;for(var q in m){if(m.hasOwnProperty(q)){var k="border"+q.charAt(0).toUpperCase()+q.substr(1);var o=p.style[k+"Style"];if(o){l=true;m[q]=this.length2em(p.style[k+"Width"]);n[k]=[p.style[k+"Width"],p.style[k+"Style"],p.style[k+"Color"]].join(" ")}}}m.css=n;return(l?m:false)},setBorders:function(k,l){if(l){for(var m in l.css){if(l.css.hasOwnProperty(m)){k.style[m]=l.css[m]}}}},createStrut:function(m,l,n){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:l+"px",width:"1px",marginRight:"-1px"}});if(n){m.insertBefore(k,m.firstChild)}else{m.appendChild(k)}return k},createBlank:function(l,k,m){var n=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(k)}});if(m){l.insertBefore(n,l.firstChild)}else{l.appendChild(n)}return n},createShift:function(l,k,n){var m=this.Element("span",{style:{marginLeft:this.Em(k)},isMathJax:true});if(n){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}return m},createSpace:function(p,n,o,q,m,s){if(n<-o){o=-n}var r=this.Em(n+o),k=this.Em(-o);if(this.msieInlineBlockAlignBug){k=this.Em(d.getHD(p.parentNode).d-o)}if(p.isBox||s){var l=(p.scale==null?1:p.scale);p.bbox={exactW:true,h:n*l,d:o*l,w:q*l,rw:q*l,lw:0};p.style.height=r;p.style.verticalAlign=k;p.HH=(n+o)*l}else{p=this.addElement(p,"span",{style:{height:r,verticalAlign:k},isMathJax:true})}if(q>=0){p.style.width=this.Em(q);p.style.display="inline-block";p.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){p.style.height=""}p.style.marginLeft=this.Em(q);if(d.safariNegativeSpaceBug&&p.parentNode.firstChild==p){this.createBlank(p,0,true)}}if(m&&m!==g.COLOR.TRANSPARENT){p.style.backgroundColor=m;p.style.position="relative"}return p},createRule:function(r,n,p,s,l){if(n<-p){p=-n}var m=d.TeX.min_rule_thickness,o=1;if(s>0&&s*this.em<m){s=m/this.em}if(n+p>0&&(n+p)*this.em<m){o=1/(n+p)*(m/this.em);n*=o;p*=o}if(!l){l="solid"}else{l="solid "+l}l=this.Em(s)+" "+l;var t=(o===1?this.Em(n+p):m+"px"),k=this.Em(-p);var q=this.addElement(r,"span",{style:{borderLeft:l,display:"inline-block",overflow:"hidden",width:0,height:t,verticalAlign:k},bbox:{h:n,d:p,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:n+p,isMathJax:true});if(s>0&&q.offsetWidth==0){q.style.width=this.Em(s)}if(r.isBox||r.className=="mspace"){r.bbox=q.bbox,r.HH=n+p}return q},createFrame:function(s,q,r,u,x,l){if(q<-r){r=-q}var p=2*x;if(this.msieFrameSizeBug){if(u<p){u=p}if(q+r<p){q=p-r}}if(this.msieBorderWidthBug){p=0}var v=this.Em(q+r-p),k=this.Em(-r-x),o=this.Em(u-p);var m=this.Em(x)+" "+l;var n=this.addElement(s,"span",{style:{border:m,display:"inline-block",overflow:"hidden",width:o,height:v},bbox:{h:q,d:r,w:u,rw:u,lw:0,exactW:true},noAdjust:true,HH:q+r,isMathJax:true});if(k){n.style.verticalAlign=k}return n},parentNode:function(l){var k=l.parentNode;if(k.nodeName.toLowerCase()==="a"){k=k.parentNode}return k},createStack:function(m,o,l){if(this.msiePaddingWidthBug){this.createStrut(m,0)}var n=String(l).match(/%$/);var k=(!n&&l!=null?l:0);m=this.addElement(m,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(n?"100%":this.Em(k)),height:0}});if(!o){m.parentNode.bbox=m.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:k,lw:this.BIGDIMEN,rw:(!n&&l!=null?l:-this.BIGDIMEN)};if(n){m.bbox.width=l}}return m},createBox:function(l,k){var m=this.addElement(l,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(k!=null){m.style.width=k}return m},addBox:function(k,l){l.style.position="absolute";l.isBox=l.isMathJax=true;return k.appendChild(l)},placeBox:function(u,s,q,o){u.isMathJax=true;var v=d.parentNode(u),C=u.bbox,z=v.bbox;if(this.msiePlaceBoxBug){this.addText(u,this.NBSP)}if(this.imgSpaceBug){this.addText(u,this.imgSpace)}var w,F=0;if(u.HH!=null){w=u.HH}else{if(C){w=Math.max(3,C.h+C.d)}else{w=u.offsetHeight/this.em}}if(!u.noAdjust){w+=1;w=Math.round(w*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(u,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(w)}})}else{this.addElement(u,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(w)}});if(d.chromeHeightBug){w-=(u.lastChild.offsetHeight-Math.round(w*this.em))/this.em}}}if(C){if(this.initialSkipBug){if(C.lw<0){F=C.lw;d.createBlank(u,-F,true)}if(C.rw>C.w){d.createBlank(u,C.rw-C.w+0.1)}}if(!this.msieClipRectBug&&!C.noclip&&!o){var B=3/this.em;var A=(C.H==null?C.h:C.H),m=(C.D==null?C.d:C.D);var E=w-A-B,p=w+m+B,n=C.lw-3*B,k=1000;if(this.initialSkipBug&&C.lw<0){n=-3*B}if(C.isFixed){k=C.width-n}u.style.clip="rect("+this.Em(E)+" "+this.Em(k)+" "+this.Em(p)+" "+this.Em(n)+")"}}u.style.top=this.Em(-q-w);u.style.left=this.Em(s+F);if(C&&z){if(C.H!=null&&(z.H==null||C.H+q>z.H)){z.H=C.H+q}if(C.D!=null&&(z.D==null||C.D-q>z.D)){z.D=C.D-q}if(C.h+q>z.h){z.h=C.h+q}if(C.d-q>z.d){z.d=C.d-q}if(z.H!=null&&z.H<=z.h){delete z.H}if(z.D!=null&&z.D<=z.d){delete z.D}if(C.w+s>z.w){z.w=C.w+s;if(z.width==null){v.style.width=this.Em(z.w)}}if(C.rw+s>z.rw){z.rw=C.rw+s}if(C.lw+s<z.lw){z.lw=C.lw+s}if(C.width!=null&&!C.isFixed){if(z.width==null){v.style.width=z.width="100%";if(C.minWidth){v.style.minWidth=z.minWidth=C.minWidth}}u.style.width=C.width}}},alignBox:function(n,t,s){this.placeBox(n,0,s);var p=n.bbox;if(p.isMultiline){return}var m=p.width!=null&&!p.isFixed;var o=0,q=-p.w/2,k="50%";if(this.initialSkipBug){o=p.w-p.rw-0.1;q+=p.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(m){q="";k=(50-parseFloat(p.width)/2)+"%"}b.Insert(n.style,({right:{left:"",right:this.Em(o)},center:{left:k,marginLeft:q}})[t])},setStackWidth:function(l,k){if(typeof(k)==="number"){l.style.width=this.Em(Math.max(0,k));var m=l.bbox;if(m){m.w=k;m.exactW=true}m=l.parentNode.bbox;if(m){m.w=k;m.exactW=true}}else{l.style.width=l.parentNode.style.width="100%";if(l.bbox){l.bbox.width=k}if(l.parentNode.bbox){l.parentNode.bbox.width=k}}},createDelimiter:function(u,k,n,q,o){if(!k){u.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};u.bbox.rw=u.bbox.w;this.createSpace(u,u.bbox.h,u.bbox.d,u.bbox.w);return}if(!q){q=1}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){b.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var s=0,p=l.HW.length;s<p;s++){if(l.HW[s][0]*q>=n-0.01||(s==p-1&&!l.stretch)){if(l.HW[s][2]){q*=l.HW[s][2]}if(l.HW[s][3]){k=l.HW[s][3]}var r=this.addElement(u,"span");this.createChar(r,[k,l.HW[s][1]],q,o);u.bbox=r.bbox;u.offset=0.65*u.bbox.w;u.scale=q;return}}if(l.stretch){this["extendDelimiter"+l.dir](u,t,l.stretch,q,o)}},extendDelimiterV:function(A,t,E,F,w){var o=this.createStack(A,true);var v=this.createBox(o),u=this.createBox(o);this.createChar(v,(E.top||E.ext),F,w);this.createChar(u,(E.bot||E.ext),F,w);var m={bbox:{w:0,lw:0,rw:0}},D=m,p;var B=v.bbox.h+v.bbox.d+u.bbox.h+u.bbox.d;var r=-v.bbox.h;this.placeBox(v,0,r,true);r-=v.bbox.d;if(E.mid){D=this.createBox(o);this.createChar(D,E.mid,F,w);B+=D.bbox.h+D.bbox.d}if(E.min&&t<B*E.min){t=B*E.min}if(t>B){m=this.Element("span");this.createChar(m,E.ext,F,w);var C=m.bbox.h+m.bbox.d,l=C-0.05,x,q,z=(E.mid?2:1);q=x=Math.min(Math.ceil((t-B)/(z*l)),this.maxStretchyParts);if(!E.fullExtenders){l=(t-B)/(z*x)}var s=(x/(x+1))*(C-l);l=C-s;r+=s+l-m.bbox.h;while(z-->0){while(x-->0){if(!this.msieCloneNodeBug){p=m.cloneNode(true)}else{p=this.Element("span");this.createChar(p,E.ext,F,w)}p.bbox=m.bbox;r-=l;this.placeBox(this.addBox(o,p),0,r,true)}r+=s-m.bbox.d;if(E.mid&&z){this.placeBox(D,0,r-D.bbox.h,true);x=q;r+=-(D.bbox.h+D.bbox.d)+s+l-m.bbox.h}}}else{r+=(B-t)/2;if(E.mid){this.placeBox(D,0,r-D.bbox.h,true);r+=-(D.bbox.h+D.bbox.d)}r+=(B-t)/2}this.placeBox(u,0,r-u.bbox.h,true);r-=u.bbox.h+u.bbox.d;A.bbox={w:Math.max(v.bbox.w,m.bbox.w,u.bbox.w,D.bbox.w),lw:Math.min(v.bbox.lw,m.bbox.lw,u.bbox.lw,D.bbox.lw),rw:Math.max(v.bbox.rw,m.bbox.rw,u.bbox.rw,D.bbox.rw),h:0,d:-r,exactW:true};A.scale=F;A.offset=0.55*A.bbox.w;A.isMultiChar=true;this.setStackWidth(o,A.bbox.w)},extendDelimiterH:function(B,o,E,G,y){var r=this.createStack(B,true);var p=this.createBox(r),C=this.createBox(r);this.createChar(p,(E.left||E.rep),G,y);this.createChar(C,(E.right||E.rep),G,y);var l=this.Element("span");this.createChar(l,E.rep,G,y);var D={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},m;this.placeBox(p,-p.bbox.lw,0,true);var u=(p.bbox.rw-p.bbox.lw)+(C.bbox.rw-C.bbox.lw)-0.05,t=p.bbox.rw-p.bbox.lw-0.025,v;if(E.mid){D=this.createBox(r);this.createChar(D,E.mid,G,y);u+=D.bbox.w}if(E.min&&o<u*E.min){o=u*E.min}if(o>u){var F=l.bbox.rw-l.bbox.lw,q=F-0.05,z,s,A=(E.mid?2:1);s=z=Math.min(Math.ceil((o-u)/(A*q)),this.maxStretchyParts);if(!E.fillExtenders){q=(o-u)/(A*z)}v=(z/(z+1))*(F-q);q=F-v;t-=l.bbox.lw+v;while(A-->0){while(z-->0){if(!this.cloneNodeBug){m=l.cloneNode(true)}else{m=this.Element("span");this.createChar(m,E.rep,G,y)}m.bbox=l.bbox;this.placeBox(this.addBox(r,m),t,0,true);t+=q}if(E.mid&&A){this.placeBox(D,t,0,true);t+=D.bbox.w-v;z=s}}}else{t-=(u-o)/2;if(E.mid){this.placeBox(D,t,0,true);t+=D.bbox.w}t-=(u-o)/2}this.placeBox(C,t,0,true);B.bbox={w:t+C.bbox.rw,lw:0,rw:t+C.bbox.rw,H:Math.max(p.bbox.h,l.bbox.h,C.bbox.h,D.bbox.h),D:Math.max(p.bbox.d,l.bbox.d,C.bbox.d,D.bbox.d),h:l.bbox.h,d:l.bbox.d,exactW:true};B.scale=G;B.isMultiChar=true;this.setStackWidth(r,B.bbox.w)},createChar:function(s,p,n,k){s.isMathJax=true;var r=s,t="",o={fonts:[p[1]],noRemap:true};if(k&&k===g.VARIANT.BOLD){o.fonts=[p[1]+"-bold",p[1]]}if(typeof(p[1])!=="string"){o=p[1]}if(p[0] instanceof Array){for(var q=0,l=p[0].length;q<l;q++){t+=String.fromCharCode(p[0][q])}}else{t=String.fromCharCode(p[0])}if(p[4]){n*=p[4]}if(n!==1||p[3]){r=this.addElement(s,"span",{style:{fontSize:this.Percent(n)},scale:n,isMathJax:true});this.handleVariant(r,o,t);s.bbox=r.bbox}else{this.handleVariant(s,o,t)}if(p[2]){s.style.marginLeft=this.Em(p[2])}if(p[3]){s.firstChild.style.verticalAlign=this.Em(p[3]);s.bbox.h+=p[3];if(s.bbox.h<0){s.bbox.h=0}}if(p[5]){s.bbox.h+=p[5]}if(p[6]){s.bbox.d+=p[6]}if(this.AccentBug&&s.bbox.w===0){r.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(l,k){k-=l.bbox.h;l.bbox.d-=k;l.bbox.h+=k;if(k){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&l.isMultiChar)){if(l.firstChild.style.display===""&&l.style.top!==""){l=l.firstChild;k-=d.unEm(l.style.top)}l.style.position="relative";l.style.top=this.Em(-k)}else{l.style.verticalAlign=this.Em(k);if(d.ffVerticalAlignBug){d.createRule(l.parentNode,l.bbox.h,0,0)}}}},handleVariant:function(A,p,s){var z="",x,C,t,D,k=A,l=!!A.style.fontFamily;if(s.length===0){return}if(!A.bbox){A.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!p){p=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}D=p;for(var B=0,y=s.length;B<y;B++){p=D;x=s.charCodeAt(B);C=s.charAt(B);if(x>=55296&&x<56319){B++;x=(((x-55296)<<10)+(s.charCodeAt(B)-56320))+65536;if(this.FONTDATA.RemapPlane1){var E=this.FONTDATA.RemapPlane1(x,p);x=E.n;p=E.variant}}else{var u,r,v=this.FONTDATA.RANGES;for(u=0,r=v.length;u<r;u++){if(v[u].name==="alpha"&&p.noLowerCase){continue}var q=p["offset"+v[u].offset];if(q&&x>=v[u].low&&x<=v[u].high){if(v[u].remap&&v[u].remap[x]){x=q+v[u].remap[x]}else{x=x-v[u].low+q;if(v[u].add){x+=v[u].add}}if(p["variant"+v[u].offset]){p=this.FONTDATA.VARIANT[p["variant"+v[u].offset]]}break}}}if(p.remap&&p.remap[x]){if(p.remap[x] instanceof Array){var o=p.remap[x];x=o[0];p=this.FONTDATA.VARIANT[o[1]]}else{if(typeof(p.remap[x])==="string"){s=p.remap[x]+s.substr(B+1);B=0;y=s.length;x=s.charCodeAt(0)}else{x=p.remap[x];if(p.remap.variant){p=this.FONTDATA.VARIANT[p.remap.variant]}}}}if(this.FONTDATA.REMAP[x]&&!p.noRemap){x=this.FONTDATA.REMAP[x];if(x instanceof Array){p=this.FONTDATA.VARIANT[x[1]];x=x[0]}if(typeof(x)==="string"){s=x+s.substr(B+1);B=0;y=s.length;x=x.charCodeAt(0)}}t=this.lookupChar(p,x);C=t[x];if(l||(!this.checkFont(t,k.style)&&!C[5].img)){if(z.length){this.addText(k,z);z=""}var w=!!k.style.fontFamily||!!A.style.fontStyle||!!A.style.fontWeight||!t.directory||l;l=false;if(k!==A){w=!this.checkFont(t,A.style);k=A}if(w){k=this.addElement(A,"span",{isMathJax:true,subSpan:true})}this.handleFont(k,t,k!==A)}z=this.handleChar(k,t,C,x,z);if(!(C[5]||{}).space){if(C[0]/1000>A.bbox.h){A.bbox.h=C[0]/1000}if(C[1]/1000>A.bbox.d){A.bbox.d=C[1]/1000}}if(A.bbox.w+C[3]/1000<A.bbox.lw){A.bbox.lw=A.bbox.w+C[3]/1000}if(A.bbox.w+C[4]/1000>A.bbox.rw){A.bbox.rw=A.bbox.w+C[4]/1000}A.bbox.w+=C[2]/1000}if(z.length){this.addText(k,z)}if(A.scale&&A.scale!==1){A.bbox.h*=A.scale;A.bbox.d*=A.scale;A.bbox.w*=A.scale;A.bbox.lw*=A.scale;A.bbox.rw*=A.scale}if(s.length==1&&t.skew&&t.skew[x]){A.bbox.skew=t.skew[x]}},checkFont:function(k,l){var m=(l.fontWeight||"normal");if(m.match(/^\d+$/)){m=(parseInt(m)>=600?"bold":"normal")}return(k.family.replace(/'/g,"")===l.fontFamily.replace(/'/g,"")&&(k.style||"normal")===(l.fontStyle||"normal")&&(k.weight||"normal")===m)},handleFont:function(m,k,o){m.style.fontFamily=k.family;if(!k.directory){m.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&k.isWebFont)){var l=k.style||"normal",n=k.weight||"normal";if(l!=="normal"||o){m.style.fontStyle=l}if(n!=="normal"||o){m.style.fontWeight=n}}},handleChar:function(l,k,s,r,q){var p=s[5];if(p.space){if(q.length){this.addText(l,q)}d.createShift(l,s[2]/1000);return""}if(p.img){return this.handleImg(l,k,s,r,q)}if(p.isUnknown&&this.FONTDATA.DELIMITERS[r]){if(q.length){this.addText(l,q)}var o=l.scale;d.createDelimiter(l,r,0,1,k);if(this.FONTDATA.DELIMITERS[r].dir==="V"){l.style.verticalAlign=this.Em(l.bbox.d);l.bbox.h+=l.bbox.d;l.bbox.d=0}l.scale=o;s[0]=l.bbox.h*1000;s[1]=l.bbox.d*1000;s[2]=l.bbox.w*1000;s[3]=l.bbox.lw*1000;s[4]=l.bbox.rw*1000;return""}if(p.c==null){if(r<=65535){p.c=String.fromCharCode(r)}else{var m=r-65536;p.c=String.fromCharCode((m>>10)+55296)+String.fromCharCode((m&1023)+56320)}}if(p.rfix){this.addText(l,q+p.c);d.createShift(l,p.rfix/1000);return""}if(s[2]||!this.msieAccentBug||q.length){return q+p.c}d.createShift(l,s[3]/1000);d.createShift(l,(s[4]-s[3])/1000);this.addText(l,p.c);d.createShift(l,-s[4]/1000);return""},handleImg:function(l,k,p,o,m){return m},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]]);r[q[o]].name=q[o]}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){if(l[s].length===5){l[s][5]={}}if(d.allowWebFonts&&!l.available){this.loadWebFont(l)}else{return l}}else{this.findBlock(l,s)}}return this.unknownChar(p,s)},unknownChar:function(k,m){var l=(k.defaultFont||{family:d.config.undefinedFamily});if(k.bold){l.weight="bold"}if(k.italic){l.style="italic"}if(!l[m]){l[m]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",m,k]);return l},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(l){var k=MathJax.Callback.Queue();k.Push(["Require",h,this.fontDir+"/"+l]);if(this.imgFonts){if(!MathJax.isPacked){l=l.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}k.Push(["Require",h,this.webfontDir+"/png/"+l])}b.RestartAfter(k.Push({}))},loadWebFont:function(k){k.available=k.isWebFont=true;if(d.FontFaceBug){k.family=k.name;if(d.msieFontCSSBug){k.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(k))},loadWebFontError:function(l,k){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");l.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);h.Require(this.directory+"/imageFonts.js",k)}else{this.allowWebFonts=false;k()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.type!="mrow"){o=this.HTMLhandleSize(o)}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o)}}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}if(this.HTMLlineBreaks(o)){o=this.HTMLmultiline(o)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){g.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(q,p,o,k){if(o==null){o=0}if(k==null){k=this.data.length}var n=q.bbox={exactW:true},r=[];while(o<k){var l=this.data[o];if(!l){continue}if(!p&&l.HTMLcanStretch("Vertical")){r.push(l);l=(l.CoreMO()||l)}this.HTMLcombineBBoxes(l,n);o++}this.HTMLcleanBBox(n);return r},HTMLcombineBBoxes:function(k,l){if(l.w==null){this.HTMLemptyBBox(l)}var n=(k.bbox?k:k.HTMLspanElement());if(!n||!n.bbox){return}var m=n.bbox;if(m.d>l.d){l.d=m.d}if(m.h>l.h){l.h=m.h}if(m.D!=null&&m.D>l.D){l.D=m.D}if(m.H!=null&&m.H>l.H){l.H=m.H}if(n.style.paddingLeft){l.w+=d.unEm(n.style.paddingLeft)*(n.scale||1)}if(l.w+m.lw<l.lw){l.lw=l.w+m.lw}if(l.w+m.rw>l.rw){l.rw=l.w+m.rw}l.w+=m.w;if(n.style.paddingRight){l.w+=d.unEm(n.style.paddingRight)*(n.scale||1)}if(m.width){l.width=m.width;l.minWidth=m.minWidth}if(m.ic){l.ic=m.ic}else{delete l.ic}if(l.exactW&&!m.exactW){delete l.exactW}},HTMLemptyBBox:function(k){k.h=k.d=k.H=k.D=k.rw=-d.BIGDIMEN;k.w=0;k.lw=d.BIGDIMEN;return k},HTMLcleanBBox:function(k){if(k.h===this.BIGDIMEN){k.h=k.d=k.H=k.D=k.w=k.rw=k.lw=0}if(k.D<=k.d){delete k.D}if(k.H<=k.h){delete k.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(l){if(this.isEmbellished()){var k=this.Core();if(k&&k!==this){return k.HTMLcanStretch(l)}}return false},HTMLstretchH:function(l,k){return this.HTMLspanElement()},HTMLstretchV:function(l,k,m){return this.HTMLspanElement()},HTMLnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},HTMLmeasureChild:function(l,k){if(this.data[l]){d.Measured(this.data[l].toHTML(k),k)}else{k.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(l,k){if(!this.data[l]){this.SetData(l,g.mrow())}return this.data[l].toHTML(k)},HTMLcreateSpan:function(k){if(this.spanID){var l=this.HTMLspanElement();if(l&&(l.parentNode===k||(l.parentNode||{}).parentNode===k)){while(l.firstChild){l.removeChild(l.firstChild)}l.bbox=this.HTMLzeroBBox();l.scale=1;l.isMultChar=l.HH=null;l.style.cssText="";return l}}if(this.href){k=d.addElement(k,"a",{href:this.href,isMathJax:true})}k=d.addElement(k,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){k.style.display="inline-block"}if(this["class"]){k.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}k.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;k.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){k.style.cssText=this.style;if(k.style.fontSize){this.mathsize=k.style.fontSize;k.style.fontSize=""}this.styles={border:d.getBorders(k),padding:d.getPadding(k)};if(this.styles.border){k.style.border=""}if(this.styles.padding){k.style.padding=""}}if(this.href){k.parentNode.bbox=k.bbox}return k},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(l,k,m){d.handleVariant(l,k,m)},HTMLhandleSize:function(k){if(!k.scale){k.scale=this.HTMLgetScale();if(k.scale!==1){k.style.fontSize=d.Percent(k.scale)}}return k},HTMLhandleDir:function(l){var k=this.Get("dir",true);if(k){l.dir=k}return l},HTMLhandleColor:function(w){var y=this.getValues("mathcolor","color");if(this.mathbackground){y.mathbackground=this.mathbackground}if(this.background){y.background=this.background}if(this.style&&w.style.backgroundColor){y.mathbackground=w.style.backgroundColor;w.style.backgroundColor="transparent"}var t=(this.styles||{}).border,v=(this.styles||{}).padding;if(y.color&&!this.mathcolor){y.mathcolor=y.color}if(y.background&&!this.mathbackground){y.mathbackground=y.background}if(y.mathcolor){w.style.color=y.mathcolor}if((y.mathbackground&&y.mathbackground!==g.COLOR.TRANSPARENT)||t||v){var A=w.bbox,z=(A.exact?0:1/d.em),u=0,s=0,m=w.style.paddingLeft,q=w.style.paddingRight;if(this.isToken){u=A.lw;s=A.rw-A.w}if(m!==""){u+=d.unEm(m)*(w.scale||1)}if(q!==""){s-=d.unEm(q)*(w.scale||1)}var l=(d.PaddingWidthBug||A.keepPadding||A.exactW?0:s-u);var o=Math.max(0,d.getW(w)+l);var x=A.h+A.d,k=-A.d,r=0,p=0;if(o>0){o+=2*z;u-=z}if(x>0){x+=2*z;k-=z}s=-o-u;if(t){s-=t.right;k-=t.bottom;r+=t.left;p+=t.right;A.h+=t.top;A.d+=t.bottom;A.w+=t.left+t.right;A.lw-=t.left;A.rw+=t.right}if(v){x+=v.top+v.bottom;o+=v.left+v.right;s-=v.right;k-=v.bottom;r+=v.left;p+=v.right;A.h+=v.top;A.d+=v.bottom;A.w+=v.left+v.right;A.lw-=v.left;A.rw+=v.right}if(p){w.style.paddingRight=d.Em(p)}var n=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:y.mathbackground,width:d.Em(o),height:d.Em(x),verticalAlign:d.Em(k),marginLeft:d.Em(u),marginRight:d.Em(s)}});d.setBorders(n,t);if(A.width){n.style.width=A.width;n.style.marginRight="-"+A.width}if(d.msieInlineBlockAlignBug){n.style.position="relative";n.style.width=n.style.height=0;n.style.verticalAlign=n.style.marginLeft=n.style.marginRight="";n.style.border=n.style.padding="";if(t&&d.msieBorderWidthBug){x+=t.top+t.bottom;o+=t.left+t.right}n.style.width=d.Em(r+z);d.placeBox(d.addElement(n,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(y.mathbackground||"transparent"),width:d.Em(o),height:d.Em(x)}}),u,A.h+z);d.setBorders(n.firstChild,t)}w.parentNode.insertBefore(n,w);if(d.msieColorPositionBug){w.style.position="relative"}return n}return null},HTMLremoveColor:function(){var k=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(k){k.parentNode.removeChild(k)}},HTMLhandleSpace:function(o){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.HTMLgetMu(o);m.lspace=Math.max(0,d.length2em(m.lspace,l));m.rspace=Math.max(0,d.length2em(m.rspace,l));var k=this,n=this.Parent();while(n&&n.isEmbellished()&&n.Core()===k){k=n;n=n.Parent();o=k.HTMLspanElement()}if(m.lspace){o.style.paddingLeft=d.Em(m.lspace)}if(m.rspace){o.style.paddingRight=d.Em(m.rspace)}}}else{var p=this.texSpacing();if(p!==""){p=d.length2em(p,this.HTMLgetScale())/(o.scale||1);if(o.style.paddingLeft){p+=d.unEm(o.style.paddingLeft)}o.style.paddingLeft=d.Em(p)}}},HTMLgetScale:function(){var m=1,k=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var l=this.HTMLspanElement();if(l.style.fontSize!=""){k.fontsize=l.style.fontSize}}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}m=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=d.length2em(this.Get("scriptminsize"));if(m<k.scriptminsize){m=k.scriptminsize}}if(this.isToken){m*=d.length2em(k.mathsize)}return m},HTMLgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},HTMLgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.style){var m=this.HTMLspanElement();if(!k.family&&m.style.fontFamily){k.family=m.style.fontFamily}if(!k.weight&&m.style.fontWeight){k.weight=m.style.fontWeight}if(!k.style&&m.style.fontStyle){k.style=m.style.fontStyle}}if(k.weight&&k.weight.match(/^\d+$/)){k.weight=(parseInt(k.weight)>600?"bold":"normal")}var l=k.mathvariant;if(this.variantForm){l="-"+d.fontInUse+"-variant"}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:k.family,style:k.style,weight:k.weight}}}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}if(!(l in d.FONTDATA.VARIANT)){l="normal"}return d.FONTDATA.VARIANT[l]}},{HTMLautoload:function(){var k=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(h.Require(k))},HTMLautoloadFile:function(k){var l=d.autoloadDir+"/"+k+".js";b.RestartAfter(h.Require(l))},HTMLstretchH:function(l,k){this.HTMLremoveColor();return this.toHTML(l,k)},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();return this.toHTML(l,k,m)}});g.chars.Augment({toHTML:function(n,m,l,o){var r=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.entity.Augment({toHTML:function(n,m,l,o){var r=this.toString().replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.mi.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}var q=this.data.join(""),p=o.bbox;if(p.skew&&q.length!==1){delete p.skew}if(p.rw>p.w&&q.length===1&&!n.noIC){p.ic=p.rw-p.w;d.createBlank(o,p.ic);p.w=p.rw}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mn.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mo.Augment({toHTML:function(u){u=this.HTMLhandleSize(this.HTMLcreateSpan(u));if(this.data.length==0){return u}else{u.bbox=null}var x=this.data.join("");var q=this.HTMLgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){q=d.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var v=this.CoreParent(),o=(v&&v.isa(g.msubsup)&&this!==v.data[v.base]),l=(o?this.HTMLremapChars:null);if(x.length===1&&v&&v.isa(g.munderover)&&this.CoreText(v.data[v.base]).length===1){var s=v.data[v.over],t=v.data[v.under];if(s&&this===s.CoreMO()&&v.Get("accent")){l=d.FONTDATA.REMAPACCENT}else{if(t&&this===t.CoreMO()&&v.Get("accentunder")){l=d.FONTDATA.REMAPACCENTUNDER}}}if(o&&x.match(/['`"\u00B4\u2032-\u2037\u2057]/)){q=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var r=0,n=this.data.length;r<n;r++){if(this.data[r]){this.data[r].toHTML(u,q,this.HTMLremap,l)}}if(!u.bbox){u.bbox=this.HTMLzeroBBox()}if(x.length!==1){delete u.bbox.skew}if(d.AccentBug&&u.bbox.w===0&&x.length===1&&u.firstChild){u.firstChild.nodeValue+=d.NBSP;d.createSpace(u,0,0,-u.offsetWidth/d.em)}if(w.largeop){var k=(u.bbox.h-u.bbox.d)/2-d.TeX.axis_height*u.scale;if(d.safariVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.lastChild.style.verticalAlign=d.Em(d.unEm(u.lastChild.style.verticalAlign||0)/d.em-k/u.scale)}else{if(d.konquerorVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.style.position="relative";u.lastChild.style.position="relative";u.lastChild.style.top=d.Em(k/u.scale)}else{u.style.verticalAlign=d.Em(-k/u.scale)}}u.bbox.h-=k;u.bbox.d+=k;if(u.bbox.rw>u.bbox.w){u.bbox.ic=u.bbox.rw-u.bbox.w;d.createBlank(u,u.bbox.ic);u.bbox.w=u.bbox.rw}}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);this.HTMLhandleDir(u);return u},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while((k.isa(g.mrow)||k.isa(g.TeXAtom)||k.isa(g.mstyle)||k.isa(g.mphantom))&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},HTMLcanStretch:function(n){if(!this.Get("stretchy")){return false}var o=this.data.join("");if(o.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var m=l.data[l.over],k=l.data[l.under];if(m&&this===m.CoreMO()&&l.Get("accent")){o=d.FONTDATA.REMAPACCENT[o]||o}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER[o]||o}}}o=d.FONTDATA.DELIMITERS[o.charCodeAt(0)];return(o&&o.dir==n.substr(0,1))},HTMLstretchV:function(m,n,o){this.HTMLremoveColor();var r=this.getValues("symmetric","maxsize","minsize");var p=this.HTMLspanElement(),s=this.HTMLgetMu(p),q;var k=d.TeX.axis_height,l=p.scale;if(r.symmetric){q=2*Math.max(n-k,o+k)}else{q=n+o}r.maxsize=d.length2em(r.maxsize,s,p.bbox.h+p.bbox.d);r.minsize=d.length2em(r.minsize,s,p.bbox.h+p.bbox.d);q=Math.max(r.minsize,Math.min(r.maxsize,q));p=this.HTMLcreateSpan(m);d.createDelimiter(p,this.data.join("").charCodeAt(0),q,l);if(r.symmetric){q=(p.bbox.h+p.bbox.d)/2+k}else{q=(p.bbox.h+p.bbox.d)*n/(n+o)}d.positionDelimiter(p,q);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p},HTMLstretchH:function(o,k){this.HTMLremoveColor();var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}var n=this.HTMLspanElement(),l=this.HTMLgetMu(n),p=n.scale;m.maxsize=d.length2em(m.maxsize,l,n.bbox.w);m.minsize=d.length2em(m.minsize,l,n.bbox.w);k=Math.max(m.minsize,Math.min(m.maxsize,k));n=this.HTMLcreateSpan(o);d.createDelimiter(n,this.data.join("").charCodeAt(0),k,p,m.mathvariant);this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});g.mtext.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));var n=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){n={bold:n.bold,italic:n.italic,fontInherit:true}}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.merror.Augment({toHTML:function(l){var n=MathJax.HTML.addElement(l,"span",{style:{display:"inline-block"}});l=this.SUPER(arguments).toHTML.call(this,n);var m=d.getHD(n),k=d.getW(n);n.bbox={h:m.h,d:m.d,w:k,lw:0,rw:k,exactW:true};n.id=l.id;l.id=null;return n}});g.ms.Augment({toHTML:g.mbase.HTMLautoload});g.mglyph.Augment({toHTML:g.mbase.HTMLautoload});g.mspace.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);var m=this.getValues("height","depth","width");var l=this.HTMLgetMu(o);m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var n=d.length2em(m.height,l),p=d.length2em(m.depth,l),k=d.length2em(m.width,l);d.createSpace(o,n,p,k,m.mathbackground,true);return o}});g.mphantom.Augment({toHTML:function(o,l,q){o=this.HTMLcreateSpan(o);if(this.data[0]!=null){var p=this.data[0].toHTML(o);if(q!=null){d.Remeasured(this.data[0].HTMLstretchV(o,l,q),o)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(o,l),o)}else{p=d.Measured(p,o)}}o.bbox={w:p.bbox.w,h:p.bbox.h,d:p.bbox.d,lw:0,rw:0,exactW:true};for(var n=0,k=o.childNodes.length;n<k;n++){o.childNodes[n].style.visibility="hidden"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mpadded.Augment({toHTML:function(s,m,k){s=this.HTMLcreateSpan(s);if(this.data[0]!=null){var q=d.createStack(s,true);var n=d.createBox(q);var l=this.data[0].toHTML(n);if(k!=null){d.Remeasured(this.data[0].HTMLstretchV(n,m,k),n)}else{if(m!=null){d.Remeasured(this.data[0].HTMLstretchH(n,m),n)}else{d.Measured(l,n)}}var t=this.getValues("height","depth","width","lspace","voffset"),r=0,p=0,u=this.HTMLgetMu(s);if(t.lspace){r=this.HTMLlength2em(n,t.lspace,u)}if(t.voffset){p=this.HTMLlength2em(n,t.voffset,u)}d.placeBox(n,r,p);s.bbox={h:n.bbox.h,d:n.bbox.d,w:n.bbox.w,exactW:true,lw:Math.min(0,n.bbox.lw+r),rw:Math.max(n.bbox.w,n.bbox.rw+r),H:Math.max((n.bbox.H==null?-d.BIGDIMEN:n.bbox.H),n.bbox.h+p),D:Math.max((n.bbox.D==null?-d.BIGDIMEN:n.bbox.D),n.bbox.d-p)};if(t.height!==""){s.bbox.h=this.HTMLlength2em(n,t.height,u,"h",0)}if(t.depth!==""){s.bbox.d=this.HTMLlength2em(n,t.depth,u,"d",0)}if(t.width!==""){s.bbox.w=this.HTMLlength2em(n,t.width,u,"w",0)}if(s.bbox.H<=s.bbox.h){delete s.bbox.H}if(s.bbox.D<=s.bbox.d){delete s.bbox.D}var o=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;s.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||o.exec(t.height)||o.exec(t.width)||o.exec(t.depth));d.setStackWidth(q,s.bbox.w)}this.HTMLhandleSpace(s);this.HTMLhandleColor(s);return s},HTMLlength2em:function(q,r,l,s,k){if(k==null){k=-d.BIGDIMEN}var o=String(r).match(/width|height|depth/);var p=(o?q.bbox[o[0].charAt(0)]:(s?q.bbox[s]:0));var n=d.length2em(r,l,p);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,q.bbox[s]+n)}else{return n}},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mrow.Augment({HTMLlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&k.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(m,k){this.HTMLremoveColor();var l=this.HTMLspanElement();this.data[this.core].HTMLstretchH(l,k);this.HTMLcomputeBBox(l,true);this.HTMLhandleColor(l);return l},HTMLstretchV:function(m,l,n){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchV(k,l,n);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k}});g.mstyle.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mfrac.Augment({toHTML:function(D){D=this.HTMLcreateSpan(D);var m=d.createStack(D);var r=d.createBox(m),o=d.createBox(m);d.MeasureSpans([this.HTMLboxChild(0,r),this.HTMLboxChild(1,o)]);var k=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var I=this.HTMLgetScale(),C=k.displaystyle;var G=d.TeX.axis_height*I;if(k.bevelled){var F=(C?0.4:0.15);var s=Math.max(r.bbox.h+r.bbox.d,o.bbox.h+o.bbox.d)+2*F;var E=d.createBox(m);d.createDelimiter(E,47,s);d.placeBox(r,0,(r.bbox.d-r.bbox.h)/2+G+F);d.placeBox(E,r.bbox.w-F/2,(E.bbox.d-E.bbox.h)/2+G);d.placeBox(o,r.bbox.w+E.bbox.w-F,(o.bbox.d-o.bbox.h)/2+G-F)}else{var l=Math.max(r.bbox.w,o.bbox.w);var y=d.thickness2em(k.linethickness,I),A,z,x,w;var B=d.TeX.min_rule_thickness/this.em;if(C){x=d.TeX.num1;w=d.TeX.denom1}else{x=(y===0?d.TeX.num3:d.TeX.num2);w=d.TeX.denom2}x*=I;w*=I;if(y===0){A=Math.max((C?7:3)*d.TeX.rule_thickness,2*B);z=(x-r.bbox.d)-(o.bbox.h-w);if(z<A){x+=(A-z)/2;w+=(A-z)/2}}else{A=Math.max((C?2:0)*B+y,y/2+1.5*B);z=(x-r.bbox.d)-(G+y/2);if(z<A){x+=A-z}z=(G-y/2)-(o.bbox.h-w);if(z<A){w+=A-z}var n=d.createBox(m);d.createRule(n,y,0,l+2*y);d.placeBox(n,0,G-y/2)}d.alignBox(r,k.numalign,x);d.alignBox(o,k.denomalign,-w)}this.HTMLhandleSpace(D);this.HTMLhandleColor(D);return D},HTMLcanStretch:function(k){return false},HTMLhandleSpace:function(k){if(!this.texWithDelims){var l=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;k.style.paddingLeft=d.Em(l);k.style.paddingRight=d.Em(0.12)}}});g.msqrt.Augment({toHTML:function(w){w=this.HTMLcreateSpan(w);var z=d.createStack(w);var n=d.createBox(z),u=d.createBox(z),s=d.createBox(z);var r=this.HTMLgetScale();var A=d.TeX.rule_thickness*r,m,l,y,o;if(this.Get("displaystyle")){m=d.TeX.x_height*r}else{m=A}l=Math.max(A+m/4,1.5*d.TeX.min_rule_thickness/this.em);var k=this.HTMLboxChild(0,n);y=k.bbox.h+k.bbox.d+l+A;d.createDelimiter(s,8730,y,r);d.MeasureSpans([k,s]);o=k.bbox.w;var v=0;if(s.isMultiChar||(d.AdjustSurd&&d.imgFonts)){s.bbox.w*=0.95}if(s.bbox.h+s.bbox.d>y){l=((s.bbox.h+s.bbox.d)-(y-A))/2}var B=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!B||o<B.HW[0][0]*r||r<0.75){d.createRule(u,0,A,o)}else{d.createDelimiter(u,d.FONTDATA.RULECHAR,o,r)}y=k.bbox.h+l+A;l=y*d.rfuzz;if(s.isMultiChar){l=d.rfuzz}v=this.HTMLaddRoot(z,s,v,s.bbox.h+s.bbox.d-y,r);d.placeBox(s,v,y-s.bbox.h);d.placeBox(u,v+s.bbox.w,y-u.bbox.h+l);d.placeBox(n,v+s.bbox.w,0);this.HTMLhandleSpace(w);this.HTMLhandleColor(w);return w},HTMLaddRoot:function(m,l,k,o,n){return k}});g.mroot.Augment({toHTML:g.msqrt.prototype.toHTML,HTMLaddRoot:function(s,l,q,o,k){var m=d.createBox(s);if(this.data[1]){var p=this.data[1].toHTML(m);p.style.paddingRight=p.style.paddingLeft="";d.Measured(p,m)}else{m.bbox=this.HTMLzeroBBox()}var n=this.HTMLrootHeight(l.bbox.h+l.bbox.d,k,m)-o;var r=Math.min(m.bbox.w,m.bbox.rw);q=Math.max(r,l.offset);d.placeBox(m,q-r,n);return q-l.offset},HTMLrootHeight:function(m,l,k){return 0.45*(m-0.9*l)+0.6*l+Math.max(0,k.bbox.d-0.075)}});g.mfenced.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.data.open){this.data.open.toHTML(o)}if(this.data[0]!=null){this.data[0].toHTML(o)}for(var l=1,k=this.data.length;l<k;l++){if(this.data[l]){if(this.data["sep"+l]){this.data["sep"+l].toHTML(o)}this.data[l].toHTML(o)}}if(this.data.close){this.data.close.toHTML(o)}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLcomputeBBox:function(p,o){var l=p.bbox={},q=[];this.HTMLcheckStretchy(this.data.open,l,q,o);this.HTMLcheckStretchy(this.data[0],l,q,o);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.HTMLcheckStretchy(this.data["sep"+n],l,q,o);this.HTMLcheckStretchy(this.data[n],l,q,o)}}this.HTMLcheckStretchy(this.data.close,l,q,o);this.HTMLcleanBBox(l);return q},HTMLcheckStretchy:function(k,l,n,m){if(k){if(!m&&k.HTMLcanStretch("Vertical")){n.push(k);k=(k.CoreMO()||k)}this.HTMLcombineBBoxes(k,l)}}});g.menclose.Augment({toHTML:g.mbase.HTMLautoload});g.maction.Augment({toHTML:g.mbase.HTMLautoload});g.semantics.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.munderover.Augment({toHTML:function(L,H,F){var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toHTML.call(this,L)}L=this.HTMLcreateSpan(L);var P=this.HTMLgetScale();var q=d.createStack(L);var r=[],o=[],N=[],w,M,I;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M]=d.createBox(q);o[M]=this.data[M].toHTML(w);if(M==this.base){if(F!=null){this.data[this.base].HTMLstretchV(w,H,F)}else{if(H!=null){this.data[this.base].HTMLstretchH(w,H)}}N[M]=(F==null&&H!=null?false:this.data[M].HTMLcanStretch("Horizontal"))}else{N[M]=this.data[M].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(o);var n=-d.BIGDIMEN,K=n;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]){if(r[M].bbox.w>K){K=r[M].bbox.w}if(!N[M]&&K>n){n=K}}}if(F==null&&H!=null){n=H}else{if(n==-d.BIGDIMEN){n=K}}for(M=K=0,I=this.data.length;M<I;M++){if(this.data[M]){w=r[M];if(N[M]){w.bbox=this.data[M].HTMLstretchH(w,n).bbox}if(w.bbox.w>K){K=w.bbox.w}}}var E=d.TeX.rule_thickness,G=d.FONTDATA.TeX_factor;var p=r[this.base]||{bbox:this.HTMLzeroBBox()};var v,s,A,z,u,C,J,O=0;if(p.bbox.ic){O=1.3*p.bbox.ic+0.05}for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M];u=d.TeX.big_op_spacing5*P;var B=(M!=this.base&&l[this.ACCENTS[M]]);if(B&&w.bbox.w<=1/d.em+0.0001){w.bbox.w=w.bbox.rw-w.bbox.lw;w.bbox.noclip=true;if(w.bbox.lw){w.insertBefore(d.createSpace(w.parentNode,0,0,-w.bbox.lw),w.firstChild)}d.createBlank(w,0,0,w.bbox.rw+0.1)}C={left:0,center:(K-w.bbox.w)/2,right:K-w.bbox.w}[l.align];v=C;s=0;if(M==this.over){if(B){J=Math.max(E*P*G,2.5/this.em);u=0;if(p.bbox.skew){v+=p.bbox.skew}}else{A=d.TeX.big_op_spacing1*P*G;z=d.TeX.big_op_spacing3*P*G;J=Math.max(A,z-Math.max(0,w.bbox.d))}J=Math.max(J,1.5/this.em);v+=O/2;s=p.bbox.h+w.bbox.d+J;w.bbox.h+=u}else{if(M==this.under){if(B){J=3*E*P*G;u=0}else{A=d.TeX.big_op_spacing2*P*G;z=d.TeX.big_op_spacing4*P*G;J=Math.max(A,z-w.bbox.h)}J=Math.max(J,1.5/this.em);v-=O/2;s=-(p.bbox.d+w.bbox.h+J);w.bbox.d+=u}}d.placeBox(w,v,s)}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);return L},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.msubsup.Augment({toHTML:function(K,I,C){K=this.HTMLcreateSpan(K);var N=this.HTMLgetScale(),H=this.HTMLgetMu(K);var w=d.createStack(K),l,n=[];var o=d.createBox(w);if(this.data[this.base]){n.push(this.data[this.base].toHTML(o));if(C!=null){this.data[this.base].HTMLstretchV(o,I,C)}else{if(I!=null){this.data[this.base].HTMLstretchH(o,I)}}}else{o.bbox=this.HTMLzeroBBox()}var L=d.TeX.x_height*N,B=d.TeX.scriptspace*N*0.75;var k,x;if(this.HTMLnotEmpty(this.data[this.sup])){k=d.createBox(w);n.push(this.data[this.sup].toHTML(k))}if(this.HTMLnotEmpty(this.data[this.sub])){x=d.createBox(w);n.push(this.data[this.sub].toHTML(x))}d.MeasureSpans(n);if(k){k.bbox.w+=B;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}if(x){x.bbox.w+=B;x.bbox.rw=Math.max(x.bbox.w,x.bbox.rw)}d.placeBox(o,0,0);var m;if(k){m=this.data[this.sup].HTMLgetScale()}else{if(x){m=this.data[this.sub].HTMLgetScale()}else{m=this.HTMLgetScale()}}var F=d.TeX.sup_drop*m,E=d.TeX.sub_drop*m;var z=o.bbox.h-F,y=o.bbox.d+E,M=0,G;if(o.bbox.ic){o.bbox.w-=o.bbox.ic;M=1.3*o.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&o.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=y=0}}var J=this.getValues("subscriptshift","superscriptshift");J.subscriptshift=(J.subscriptshift===""?0:d.length2em(J.subscriptshift,H));J.superscriptshift=(J.superscriptshift===""?0:d.length2em(J.superscriptshift,H));if(!k){if(x){y=Math.max(y,d.TeX.sub1*N,x.bbox.h-(4/5)*L,J.subscriptshift);d.placeBox(x,o.bbox.w,-y,x.bbox)}}else{if(!x){l=this.getValues("displaystyle","texprimestyle");G=d.TeX[(l.displaystyle?"sup1":(l.texprimestyle?"sup3":"sup2"))];z=Math.max(z,G*N,k.bbox.d+(1/4)*L,J.superscriptshift);d.placeBox(k,o.bbox.w+M,z,k.bbox)}else{y=Math.max(y,d.TeX.sub2*N);var A=d.TeX.rule_thickness*N;if((z-k.bbox.d)-(x.bbox.h-y)<3*A){y=3*A-z+k.bbox.d+x.bbox.h;F=(4/5)*L-(z-k.bbox.d);if(F>0){z+=F;y-=F}}d.placeBox(k,o.bbox.w+M,Math.max(z,J.superscriptshift));d.placeBox(x,o.bbox.w,-Math.max(y,J.subscriptshift))}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mmultiscripts.Augment({toHTML:g.mbase.HTMLautoload});g.mtable.Augment({toHTML:g.mbase.HTMLautoload});g["annotation-xml"].Augment({toHTML:g.mbase.HTMLautoload});g.math.Augment({toHTML:function(u,l){var r=this.Get("alttext");if(r&&r!==""){l.setAttribute("aria-label",r)}var m=d.addElement(u,"nobr",{isMathJax:true});u=this.HTMLcreateSpan(m);var s=d.createStack(u),n=d.createBox(s),t;s.style.fontSize=m.parentNode.style.fontSize;m.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}g.mbase.prototype.displayAlign=b.config.displayAlign;g.mbase.prototype.displayIndent=b.config.displayIndent;var o=this.data[0].toHTML(n);o.bbox.exactW=false;t=d.Measured(o,n)}d.placeBox(n,0,0);u.style.width=d.Em((Math.round(t.bbox.w*this.em)+0.25)/d.outerEm);u.style.display="inline-block";var k=1/d.em,q=d.em/d.outerEm;d.em/=q;u.bbox.h*=q;u.bbox.d*=q;u.bbox.w*=q;u.bbox.lw*=q;u.bbox.rw*=q;if(t&&t.bbox.width!=null){u.style.minWidth=(t.bbox.minWidth||u.style.width);u.style.width=s.style.width=t.bbox.width;n.style.width="100%"}this.HTMLhandleColor(u);if(t){d.createRule(u,(t.bbox.h+k)*q,(t.bbox.d+k)*q,0)}if(!this.isMultiline&&this.Get("display")==="block"&&u.bbox.width==null){var v=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(v.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){v.indentalign=v.indentalignfirst}if(v.indentalign===g.INDENTALIGN.AUTO){v.indentalign=this.displayAlign}l.style.textAlign=v.indentalign;if(v.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){v.indentshift=v.indentshiftfirst}if(v.indentshift==="auto"){v.indentshift=this.displayIndent}if(v.indentshift&&v.indentalign!==g.INDENTALIGN.CENTER){u.style[{left:"marginLeft",right:"marginRight"}[v.indentalign]]=d.Em(d.length2em(v.indentshift))}}return u},HTMLspanElement:g.mbase.prototype.HTMLspanElement});g.TeXAtom.Augment({toHTML:function(l){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){if(this.texClass===g.TEXCLASS.VCENTER){var k=d.createStack(l);var m=d.createBox(k);d.Measured(this.data[0].toHTML(m),m);d.placeBox(m,0,d.TeX.axis_height-(m.bbox.h+m.bbox.d)/2+m.bbox.d)}else{l.bbox=this.data[0].toHTML(l).bbox}}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(k){var o=(document.documentMode||0);var n=k.versionAtLeast("7.0");var m=k.versionAtLeast("8.0")&&o>7;var l=(document.compatMode==="BackCompat");if(o<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:l,msieDisappearingBug:(o>=8),msieMarginScaleBug:(o<8),msiePaddingWidthBug:true,msieBorderWidthBug:l,msieFrameSizeBug:(o<=8),msieInlineBlockAlignBug:(!m||l),msiePlaceBoxBug:(m&&!l),msieClipRectBug:!m,msieNegativeSpaceBug:l,cloneNodeBug:(m&&k.version==="8.0"),initialSkipBug:(o<8),msieNegativeBBoxBug:(o>=8),msieIE6:!n,msieItalicWidthBug:true,FontFaceBug:true,msieFontCSSBug:k.isIE9,allowWebFonts:(o>=9?"woff":"eot")})},Firefox:function(l){var m=false;if(l.versionAtLeast("3.5")){var k=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,k.length)===k){m="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:m})},Safari:function(p){var n=p.versionAtLeast("3.0");var m=p.versionAtLeast("3.1");var k=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var l=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var q=(m&&p.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!p.versionAtLeast("5.0"))||(l!=null&&(l[1]<2||(l[1]==2&&l[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!m,safariTextNodeBug:!n,forceReflow:true,allowWebFonts:(m&&!q?"otf":false)});if(k){d.Augment({webFontDefault:(p.isMobile?"sans-serif":"serif")})}if(p.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(q){var o=b.config["HTML-CSS"];if(o){o.availableFonts=[];o.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(k){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(k.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(k){k.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:k.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(k.versionAtLeast("10.0")&&!k.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(k){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aJ=K.width.match(/%$/);var ay=b.createStack(t);var aG=this.HTMLgetScale(),aA=this.HTMLgetMu(t),aB=-1;var aq=[],au=[],ak=[],aw=[],av=[],af,ae,ap=-1,ad,ao,Z,aF,R,aC,aO=[];var al=b.FONTDATA.baselineskip*aG*K.useHeight,aT,I=b.FONTDATA.lineH*aG,O=b.FONTDATA.lineD*aG;for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);aw[af]=[];aq[af]=au[af]=0;for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){if(ak[ae]==null){if(ae>ap){ap=ae}av[ae]=b.createStack(b.createBox(ay));ak[ae]=-b.BIGDIMEN}aw[af][ae]=b.createBox(av[ae]);aO.push(aF.data[ae-Z].toHTML(aw[af][ae]))}}b.MeasureSpans(aO);for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){R=aF.data[ae-Z];if(R.isMultiline){aw[af][ae].style.width="100%"}if(R.isEmbellished()){aC=R.CoreMO();var aS=aC.Get("minsize",true);if(aS){var aL=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aT=aL.h+aL.d;if(aT){aS=b.length2em(aS,aA,aT);if(aS*aL.h/aT>aq[af]){aq[af]=aS*aL.h/aT}if(aS*aL.d/aT>au[af]){au[af]=aS*aL.d/aT}}}else{if(aC.HTMLcanStretch("Horizontal")){aS=b.length2em(aS,aA,aL.w);if(aS>ak[ae]){ak[ae]=aS}}}}}if(aw[af][ae].bbox.h>aq[af]){aq[af]=aw[af][ae].bbox.h}if(aw[af][ae].bbox.d>au[af]){au[af]=aw[af][ae].bbox.d}if(aw[af][ae].bbox.w>ak[ae]){ak[ae]=aw[af][ae].bbox.w}}}if(aq[0]+au[0]){aq[0]=Math.max(aq[0],I)}if(aq[aw.length-1]+au[aw.length-1]){au[aw.length-1]=Math.max(au[aw.length-1],O)}var aE=MathJax.Hub.SplitList;var az=aE(K.columnspacing),aQ=aE(K.rowspacing),e=aE(K.columnalign),E=aE(K.rowalign),d=aE(K.columnlines),z=aE(K.rowlines),aM=aE(K.columnwidth),V=[];for(af=0,ad=az.length;af<ad;af++){az[af]=b.length2em(az[af],aA)}for(af=0,ad=aQ.length;af<ad;af++){aQ[af]=b.length2em(aQ[af],aA)}while(az.length<ap){az.push(az[az.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aM.length<=ap){aM.push(aM[aM.length-1])}while(aQ.length<aw.length){aQ.push(aQ[aQ.length-1])}while(E.length<=aw.length){E.push(E[E.length-1])}while(z.length<aw.length){z.push(z[z.length-1])}if(av[aB]){e[aB]=(K.side.substr(0,1)==="l"?"left":"right");az[aB]=-ak[aB]}for(af=0,ad=aw.length;af<ad;af++){aF=this.data[af];V[af]=[];if(aF.rowalign){E[af]=aF.rowalign}if(aF.columnalign){V[af]=aE(aF.columnalign);while(V[af].length<=ap){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aD=Math.max.apply(Math,aq),X=Math.max.apply(Math,au);for(af=0,ad=aw.length;af<ad;af++){Z=((aD+X)-(aq[af]+au[af]))/2;aq[af]+=Z;au[af]+=Z}}aT=aq[0]+au[aw.length-1];for(af=0,ad=aw.length-1;af<ad;af++){aT+=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}var aI=0,aH=0,aV,g=aT;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aE(K.framespacing);if(w.length!=2){w=aE(this.defaults.framespacing)}aI=b.length2em(w[0],aA);aH=b.length2em(w[1],aA);g=aT+2*aH}var aj,aU,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=aw.length+1+ab}if(ab<1){ab=1}else{if(ab>aw.length){ab=aw.length}}aj=0;aU=-(aT+aH)+aq[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af]);aj+=N;aU+=N}}else{aj=({top:-(aq[0]+aH),bottom:aT+aH-aq[0],center:aT/2-aq[0],baseline:aT/2-aq[0],axis:aT/2+b.TeX.axis_height*aG-aq[0]})[K.align];aU=({top:-(aT+2*aH),bottom:0,center:-(aT/2+aH),baseline:-(aT/2+aH),axis:b.TeX.axis_height*aG-aT/2-aH})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,an=[],at=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aJ){ac=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){aM[af]=ac}ac=0;ag=1;ah=ap+1;for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac+=az[af]}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}ac/=ap+1;for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){if(aM[af]==="auto"){B+=ak[af]}else{if(aM[af]==="fit"){at[ah]=af;ah++;B+=ak[af]}else{if(aM[af].match(/%$/)){an[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aM[af],aA,1)}else{ak[af]=b.length2em(aM[af],aA);B+=ak[af]}}}}if(aJ){ac=0;for(af=0,ad=Math.min(ap,az.length);af<ad;af++){ac+=az[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}}for(af=0,ad=an.length;af<ad;af++){ak[an[af]]=b.length2em(aM[an[af]],aA,ac*S);B+=ak[an[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=at.length;af<ad;af++){ak[at[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ap;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ap;ae++){ak[ae]=Q}}}}var T=aj,o,r,aR;Z=(av[aB]?aB:0);for(ae=Z;ae<=ap;ae++){for(af=0,ad=aw.length;af<ad;af++){if(aw[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aB:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){aw[af][ae].bbox=R.HTMLstretchH(av[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aC=R.CoreMO();var aK=aC.symmetric;aC.symmetric=false;aw[af][ae].bbox=R.HTMLstretchV(av[ae],aq[af],au[af]).bbox;aw[af][ae].HH=null;aC.symmetric=aK}}aR=R.rowalign||this.data[af].rowalign||E[af];o=({top:aq[af]-aw[af][ae].bbox.h,bottom:aw[af][ae].bbox.d-au[af],center:((aq[af]-au[af])-(aw[af][ae].bbox.h-aw[af][ae].bbox.d))/2,baseline:0,axis:0})[aR]||0;aR=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(aw[af][ae],aR,T+o)}if(af<aw.length-1){T-=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}}T=aj}if(aJ){var G=b.createBox(ay);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aI);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ay.bbox}var aP=0,aW=aI,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ap+1);l=B/(ap+1)}for(ae=0;ae<=ap;ae++){b.placeBox(av[ae].parentNode,0,0);av[ae].style.position="relative";av[ae].style.left=b.Em(aW);av[ae].style.width="100%";av[ae].parentNode.parentNode.removeChild(av[ae].parentNode);var am=b.createBox(G);b.addBox(am,av[ae]);av[ae]=am;var h=am.style;h.display="inline-block";h.left=aP+"%";if(aM[ae].match(/%$/)){var u=parseFloat(aM[ae])*S;if(ah===0){h.width=(k+u)+"%";aP+=k+u;am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l);aW-=l}else{h.width=u+"%";aP+=u}}else{if(aM[ae]==="fit"||ah===0){h.width=k+"%";am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l-ak[ae]);aW+=ak[ae]-l;aP+=k}else{h.width=b.Em(ak[ae]);aW+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(am.firstChild,b.NBSP);am.firstChild.style.position="relative"}aW+=az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createBox(G);r.style.left=aP+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ay.bbox;b.placeBox(r,aW-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}else{var U=aI;for(ae=0;ae<=ap;ae++){if(!av[ae].bbox.width){b.setStackWidth(av[ae],ak[ae])}if(aM[ae]!=="auto"&&aM[ae]!=="fit"){av[ae].bbox.width=ak[ae];av[ae].bbox.isFixed=true}b.placeBox(av[ae].parentNode,U,0);U+=ak[ae]+az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}ay.bbox.d=-aU;ay.bbox.h=g+aU;b.setStackWidth(ay,ay.bbox.w+aI);aV=ay.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ay,g,0,aV,1.25/b.em,K.frame);b.addBox(ay,ai);b.placeBox(ai,0,aU,true);if(aJ){ai.style.width="100%"}}T=aj;for(af=0,ad=aw.length-1;af<ad;af++){o=Math.max(al,au[af]+aq[af+1]+aQ[af]);if(z[af]!=="none"){r=b.createRule(ay,1.25/b.em,0,aV);b.addBox(ay,r);r.bbox={h:1.25/b.em,d:0,w:aV,rw:aV,lw:0};b.placeBox(r,0,T-au[af]-(o-au[af]-aq[af+1])/2,true);if(z[af]==="dashed"||aJ){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aJ){r.style.width="100%"}}}T-=o}if(aJ){t.bbox.width=K.width;ay.style.width="100%"}if(av[aB]){var ax=ay.bbox.w,q;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift=this.displayIndent}var aN=b.createStack(t,false,"100%");b.addBox(aN,ay);b.alignBox(ay,ar.indentalign,0);if(ar.indentshift&&ar.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(ar.indentshift,aA);ax+=q;ay.style[ar.indentalign]=b.Em(q)}av[aB].parentNode.parentNode.removeChild(av[aB].parentNode);b.addBox(aN,av[aB]);b.alignBox(av[aB],e[aB],0);if(b.msieRelativeWidthBug){ay.style.top=av[aB].style.top=""}if(aJ){ay.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,aA);av[aB].style.marginRight=av[aB].style.marginLeft=b.Em(q);if(ar.indentalign===a.INDENTALIGN.CENTER){ax+=4*q+2*av[aB].bbox.w}else{if(ar.indentalign!==e[aB]){ax+=2*q+av[aB].bbox.w}}t.style.minWidth=t.bbox.minWidth=aN.style.minWidth=aN.bbox.minWidth=b.Em(ax)}if(!aJ){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aJ){if(!ai){ai=b.createFrame(ay,g,0,aV,0,"none");b.addBox(ay,ai);b.placeBox(ai,0,aU,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aI=K.width.match(/%$/);var ax=b.createStack(t);var aF=this.HTMLgetScale(),az=this.HTMLgetMu(t),aA=-1;var ap=[],at=[],ak=[],av=[],au=[],af,ae,ao=-1,ad,an,Z,aE,R,aB,aN=[],aS;var I=b.FONTDATA.lineH*aF*K.useHeight,O=b.FONTDATA.lineD*aF*K.useHeight;for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);av[af]=[];ap[af]=I;at[af]=O;for(ae=Z,an=aE.data.length+Z;ae<an;ae++){if(ak[ae]==null){if(ae>ao){ao=ae}au[ae]=b.createStack(b.createBox(ax));ak[ae]=-b.BIGDIMEN}av[af][ae]=b.createBox(au[ae]);aN.push(aE.data[ae-Z].toHTML(av[af][ae]))}}b.MeasureSpans(aN);for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);for(ae=Z,an=aE.data.length+Z;ae<an;ae++){R=aE.data[ae-Z];if(R.isMultiline){av[af][ae].style.width="100%"}if(R.isEmbellished()){aB=R.CoreMO();var aR=aB.Get("minsize",true);if(aR){var aK=aB.HTMLspanElement().bbox;if(aB.HTMLcanStretch("Vertical")){aS=aK.h+aK.d;if(aS){aR=b.length2em(aR,az,aS);if(aR*aK.h/aS>ap[af]){ap[af]=aR*aK.h/aS}if(aR*aK.d/aS>at[af]){at[af]=aR*aK.d/aS}}}else{if(aB.HTMLcanStretch("Horizontal")){aR=b.length2em(aR,az,aK.w);if(aR>ak[ae]){ak[ae]=aR}}}}}if(av[af][ae].bbox.h>ap[af]){ap[af]=av[af][ae].bbox.h}if(av[af][ae].bbox.d>at[af]){at[af]=av[af][ae].bbox.d}if(av[af][ae].bbox.w>ak[ae]){ak[ae]=av[af][ae].bbox.w}}}var aD=MathJax.Hub.SplitList;var ay=aD(K.columnspacing),aP=aD(K.rowspacing),e=aD(K.columnalign),E=aD(K.rowalign),d=aD(K.columnlines),z=aD(K.rowlines),aL=aD(K.columnwidth),V=[];for(af=0,ad=ay.length;af<ad;af++){ay[af]=b.length2em(ay[af],az)}for(af=0,ad=aP.length;af<ad;af++){aP[af]=b.length2em(aP[af],az)}while(ay.length<ao){ay.push(ay[ay.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aL.length<=ao){aL.push(aL[aL.length-1])}while(aP.length<av.length){aP.push(aP[aP.length-1])}while(E.length<=av.length){E.push(E[E.length-1])}while(z.length<av.length){z.push(z[z.length-1])}if(au[aA]){e[aA]=(K.side.substr(0,1)==="l"?"left":"right");ay[aA]=-ak[aA]}for(af=0,ad=av.length;af<ad;af++){aE=this.data[af];V[af]=[];if(aE.rowalign){E[af]=aE.rowalign}if(aE.columnalign){V[af]=aD(aE.columnalign);while(V[af].length<=ao){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aC=Math.max.apply(Math,ap),X=Math.max.apply(Math,at);for(af=0,ad=av.length;af<ad;af++){Z=((aC+X)-(ap[af]+at[af]))/2;ap[af]+=Z;at[af]+=Z}}aS=ap[0]+at[av.length-1];for(af=0,ad=av.length-1;af<ad;af++){aS+=Math.max(0,at[af]+ap[af+1]+aP[af])}var aH=0,aG=0,aU,g=aS;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aD(K.framespacing);if(w.length!=2){w=aD(this.defaults.framespacing)}aH=b.length2em(w[0],az);aG=b.length2em(w[1],az);g=aS+2*aG}var aj,aT,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=av.length+1+ab}if(ab<1){ab=1}else{if(ab>av.length){ab=av.length}}aj=0;aT=-(aS+aG)+ap[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max(0,at[af]+ap[af+1]+aP[af]);aj+=N;aT+=N}}else{aj=({top:-(ap[0]+aG),bottom:aS+aG-ap[0],center:aS/2-ap[0],baseline:aS/2-ap[0],axis:aS/2+b.TeX.axis_height*aF-ap[0]})[K.align];aT=({top:-(aS+2*aG),bottom:0,center:-(aS/2+aG),baseline:-(aS/2+aG),axis:b.TeX.axis_height*aF-aS/2-aG})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,am=[],ar=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aI){ac=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){aL[af]=ac}ac=0;ag=1;ah=ao+1;for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac+=ay[af]}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}ac/=ao+1;for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){if(aL[af]==="auto"){B+=ak[af]}else{if(aL[af]==="fit"){ar[ah]=af;ah++;B+=ak[af]}else{if(aL[af].match(/%$/)){am[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aL[af],az,1)}else{ak[af]=b.length2em(aL[af],az);B+=ak[af]}}}}if(aI){ac=0;for(af=0,ad=Math.min(ao,ay.length);af<ad;af++){ac+=ay[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}}for(af=0,ad=am.length;af<ad;af++){ak[am[af]]=b.length2em(aL[am[af]],az,ac*S);B+=ak[am[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=ar.length;af<ad;af++){ak[ar[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ao;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ao;ae++){ak[ae]=Q}}}}var T=aj,o,r,aQ;Z=(au[aA]?aA:0);for(ae=Z;ae<=ao;ae++){for(af=0,ad=av.length;af<ad;af++){if(av[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aA:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){av[af][ae].bbox=R.HTMLstretchH(au[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aB=R.CoreMO();var aJ=aB.symmetric;aB.symmetric=false;av[af][ae].bbox=R.HTMLstretchV(au[ae],ap[af],at[af]).bbox;av[af][ae].HH=null;if(av[af][ae].bbox.h>ap[af]){av[af][ae].bbox.H=av[af][ae].bbox.h;av[af][ae].bbox.h=ap[af]}if(av[af][ae].bbox.d>at[af]){av[af][ae].bbox.D=av[af][ae].bbox.d;av[af][ae].bbox.d=at[af]}aB.symmetric=aJ}}aQ=R.rowalign||this.data[af].rowalign||E[af];o=({top:ap[af]-av[af][ae].bbox.h,bottom:av[af][ae].bbox.d-at[af],center:((ap[af]-at[af])-(av[af][ae].bbox.h-av[af][ae].bbox.d))/2,baseline:0,axis:0})[aQ]||0;aQ=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(av[af][ae],aQ,T+o)}if(af<av.length-1){T-=Math.max(0,at[af]+ap[af+1]+aP[af])}}T=aj}if(aI){var G=b.createBox(ax);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aH);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ax.bbox}var aO=0,aV=aH,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ao+1);l=B/(ao+1)}for(ae=0;ae<=ao;ae++){b.placeBox(au[ae].parentNode,0,0);au[ae].style.position="relative";au[ae].style.left=b.Em(aV);au[ae].style.width="100%";au[ae].parentNode.parentNode.removeChild(au[ae].parentNode);var al=b.createBox(G);b.addBox(al,au[ae]);au[ae]=al;var h=al.style;h.display="inline-block";h.left=aO+"%";if(aL[ae].match(/%$/)){var u=parseFloat(aL[ae])*S;if(ah===0){h.width=(k+u)+"%";aO+=k+u;al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l);aV-=l}else{h.width=u+"%";aO+=u}}else{if(aL[ae]==="fit"||ah===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l-ak[ae]);aV+=ak[ae]-l;aO+=k}else{h.width=b.Em(ak[ae]);aV+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}aV+=ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createBox(G);r.style.left=aO+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ax.bbox;b.placeBox(r,aV-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}else{var U=aH;for(ae=0;ae<=ao;ae++){if(!au[ae].bbox.width){b.setStackWidth(au[ae],ak[ae])}if(aL[ae]!=="auto"&&aL[ae]!=="fit"){au[ae].bbox.width=ak[ae];au[ae].bbox.isFixed=true}b.placeBox(au[ae].parentNode,U,0);U+=ak[ae]+ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}ax.bbox.d=-aT;ax.bbox.h=g+aT;b.setStackWidth(ax,ax.bbox.w+aH);aU=ax.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ax,g,0,aU,1.25/b.em,K.frame);b.addBox(ax,ai);b.placeBox(ai,0,aT,true);if(aI){ai.style.width="100%"}}T=aj;for(af=0,ad=av.length-1;af<ad;af++){o=Math.max(0,at[af]+ap[af+1]+aP[af]);if(z[af]!=="none"){r=b.createRule(ax,1.25/b.em,0,aU);b.addBox(ax,r);r.bbox={h:1.25/b.em,d:0,w:aU,rw:aU,lw:0};b.placeBox(r,0,T-at[af]-(o-at[af]-ap[af+1])/2,true);if(z[af]==="dashed"||aI){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aI){r.style.width="100%"}}}T-=o}if(aI){t.bbox.width=K.width;ax.style.width="100%"}if(au[aA]){var aw=ax.bbox.w,q;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift=this.displayIndent}var aM=b.createStack(t,false,"100%");b.addBox(aM,ax);b.alignBox(ax,aq.indentalign,0);if(aq.indentshift&&aq.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(aq.indentshift,az);aw+=q;ax.style[aq.indentalign]=b.Em(q)}au[aA].parentNode.parentNode.removeChild(au[aA].parentNode);b.addBox(aM,au[aA]);b.alignBox(au[aA],e[aA],0);if(b.msieRelativeWidthBug){ax.style.top=au[aA].style.top=""}if(aI){ax.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,az);au[aA].style.marginRight=au[aA].style.marginLeft=b.Em(q);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*q+2*au[aA].bbox.w}else{if(aq.indentalign!==e[aA]){aw+=2*q+au[aA].bbox.w}}t.style.minWidth=t.bbox.minWidth=aM.style.minWidth=aM.bbox.minWidth=b.Em(aw)}if(!aI){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aI){if(!ai){ai=b.createFrame(ax,g,0,aU,0,"none");b.addBox(ax,ai);b.placeBox(ai,0,aT,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML-full.js");
diff --git a/config/MML_HTMLorMML.js b/config/MML_HTMLorMML.js
index 8b66a59e7..e9f668907 100644
--- a/config/MML_HTMLorMML.js
+++ b/config/MML_HTMLorMML.js
@@ -30,15 +30,15 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML.js");
diff --git a/config/MMLorHTML.js b/config/MMLorHTML.js
index 86539c8ae..2f6e5ecfe 100644
--- a/config/MMLorHTML.js
+++ b/config/MMLorHTML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
index 666c7acf8..aa7eed7ab 100644
--- a/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -40,25 +40,25 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline"},"div.MathJax_MathML":{display:"block"},".MathJax_mmlExBox":{display:"block",overflow:"hidden",height:"1px",width:"60ex",padding:0,border:0,margin:0}}},settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!i){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(i){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame"),n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.style.width=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(p){var t=this.defaults;var v=(this.attrNames||f.copyAttributeNames),r=f.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){t=f.math.prototype.defaults}for(var u in t){if(!r[u]&&t.hasOwnProperty(u)){if(this[u]!=null){p.setAttribute(u,this.NativeMMLattribute(this[u]))}}}}for(var q=0,o=v.length;q<o;q++){var s=(this.attr||{})[v[q]];if(s==null){s=this[v[q]]}if(s!=null){p.setAttribute(v[q],this.NativeMMLattribute(s))}}this.NativeMMLclass(p)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(i?document.createElement("m:"+o):document.createElementNS(l.MMLnamespace,o));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}})}f.math.Augment({toNativeMML:function(v){var x=this.NativeMMLelement(this.type),u=x,p;var t,r;l.adjustWidths=[];x.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(x);if(l.widthBug){x=x.appendChild(this.NativeMMLelement("mrow"))}for(t=0,r=this.data.length;t<r;t++){if(this.data[t]){this.data[t].toNativeMML(x)}else{x.appendChild(this.NativeMMLelement("mrow"))}}var s=((this.data[0]||[]).data[0]||{});if(s.nMMLhasLabels){if(s.nMMLforceWidth||!s.nMMLlaMatch){x.setAttribute("style","width:100%");v.style.width=v.parentNode.style.width="100%"}if(s.nMMLlaMatch){if(v.parentNode.parentNode.nodeName.toLowerCase()==="div"){v.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}v.appendChild(u);if(l.widthBug&&!(s.nMMLhasLabels&&(s.nMMLforceWidth||!s.nMMLlaMatch))){v.style.width=(u.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";p=c.getJaxFor(v);if(p){p.NativeMML.scrollWidth=u.firstChild.scrollWidth}}if(l.adjustWidths.length){var w=[];for(t=0,r=l.adjustWidths.length;t<r;t++){x=l.adjustWidths[t];var o=x.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){w.push(x.scrollWidth);var q=(x.scrollWidth/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");x.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(v)}if(p){p.NativeMML.mtds=w}u.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}base=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(base);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}base=o}q.appendChild(base);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,base)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.operaPositionBug=true;l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=true;l.widthBug=true;l.spaceWidthBug=!m.versionAtLeast("20.0");l.mtdWidthBug=true;l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(h,b,d){var g,i=b.Browser.isMobile;var e=function(){var k=[].slice.call(arguments,0);k[0][0]=["HTML-CSS",k[0][0]];return MathJax.Message.Set.apply(MathJax.Message,k)};var f=MathJax.Object.Subclass({timeout:(i?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"},"STIX-Web":{family:"STIXWeb_Size1",testString:"() {} []"},"Asana-Math":{family:"AsanaMath_Size1",testString:"() {} []"},"Gyre-Pagella":{family:"GyrePagella_Size1",testString:"() {} []"},"Gyre-Termes":{family:"GyreTermes_Size1",testString:"() {} []"},"Latin-Modern":{family:"LatinModern_Size1",testString:"() {} []"},"Neo-Euler":{family:"NeoEuler_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(o,l){if(l&&this.testCollection(l)){return l}for(var n=0,k=o.length;n<k;n++){if(o[n]===l){continue}if(this.testCollection(o[n])){return o[n]}}return null},testCollection:function(k){return this.testFont(this.FontInfo[k])},testFont:function(n){if(n.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(n.weight||"normal");this.div.style.fontStyle=(n.style||"normal")}var l=this.getComparisonWidths(n.testString,n.noStyleChar);if(l){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==l[0]){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[l[2]];if(this.div.offsetWidth==l[1]){return false}}if(this.div.offsetWidth!=l[3]||this.div.offsetHeight!=l[4]){if(n.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var o=0,k=this.testSize.length;o<k;o++){if(this.testStyleChar(n,this.testSize[o])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(m,p){var s=3+(m.weight?2:0)+(m.style?4:0);var l="",o=0;var r=this.div.style.fontSize;this.div.style.fontSize=p;if(d.msieItalicWidthBug&&m.style==="italic"){this.text.nodeValue=l=this.compChar;o=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+l}else{this.text.nodeValue=this.compChar+l}var k=this.div.offsetWidth-o;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+l}else{this.text.nodeValue=this.styleChar+l}var q=Math.floor((this.div.offsetWidth-o)/k+0.5);if(q===s){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+l}else{this.text.nodeValue=this.versionChar+l}m.version=Math.floor((this.div.offsetWidth-o)/k+1.5)/2}this.div.style.fontSize=r;return(q===s)},getComparisonWidths:function(p,n){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!n){p+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=p}else{this.text.nodeValue=p}this.div.style.fontFamily=this.comparisonFont[0];var l=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var r=this.div.offsetWidth,o=this.div.offsetHeight;for(var q=1,k=this.comparisonFont.length;q<k;q++){this.div.style.fontFamily=this.comparisonFont[q];if(this.div.offsetWidth!=l){return[l,this.div.offsetWidth,q,r,o]}}return null},loadWebFont:function(l){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+l.directory);var o=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+l.directory]);var k=MathJax.Callback({});var m=MathJax.Callback(["loadComplete",this,l,o,k]);h.timer.start(h,[this.checkWebFont,l,m],0,this.timeout);return k},loadComplete:function(m,p,l,k){MathJax.Message.Clear(p);if(k===h.STATUS.OK){this.webFontLoaded=true;l();return}this.loadError(m);if(b.Browser.isFirefox&&d.allowWebFonts){var o=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){o+=":"+document.location.port}o+="/";if(h.fileURL(d.webfontDir).substr(0,o.length)!==o){this.firefoxFontError(m)}}if(!this.webFontLoaded){d.loadWebFontError(m,l)}else{l()}},loadError:function(k){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+k.directory],null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+k.directory,k])},firefoxFontError:function(k){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(k,l,m){if(k.time(m)){return}if(d.Font.testFont(l)){m(k.STATUS.OK)}else{setTimeout(k,k.delay)}},fontFace:function(m){var n=d.allowWebFonts;var p=d.FONTDATA.FONTS[m];if(d.msieFontCSSBug&&!p.family.match(/-Web$/)){p.family+="-Web"}var l=h.fileURL(d.webfontDir+"/"+n);var k=m.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!k.match(/-/)){k+="-Regular"}if(n==="svg"){k+=".svg#"+k}else{k+="."+n}var o={"font-family":p.family,src:"url('"+l+"/"+k+"')"};if(n==="otf"){o.src+=" format('opentype')";l=h.fileURL(d.webfontDir+"/woff");o.src="url('"+l+"/"+k.replace(/otf$/,"woff")+"') format('woff'), "+o.src}else{if(n!=="eot"){o.src+=" format('"+n+"')"}}if(!(d.FontFaceBug&&p.isWebFont)){if(m.match(/-bold/)){o["font-weight"]="bold"}if(m.match(/-italic/)){o["font-style"]="italic"}}return o}});var j,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var l=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(l.scale){this.config.scale=l.scale}if(l.font&&l.font!=="Auto"){if(l.font==="TeXLocal"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(l.font==="TeXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(l.font==="TeXimage"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}else{if(l.font==="STIXlocal"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="STIX-Web"}else{if(l.font==="STIXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="STIX-Web"}else{if(l.font==="AsanaMathWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Asana-Math"}else{if(l.font==="GyrePagellaWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Pagella"}else{if(l.font==="GyreTermesWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Termes"}else{if(l.font==="LatinModernWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Latin-Modern"}else{if(l.font==="NeoEulerWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Neo-Euler"}}}}}}}}}}}var k=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!k&&this.allowWebFonts){k=this.config.webFont;if(k){this.webFonts=true}}if(!k&&this.config.imageFont){k=this.config.imageFont;this.imgFonts=true}if(k){this.fontInUse=k;this.fontDir+="/"+k;this.webfontDir+="/"+k;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);this.fontInUse="generic";this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{fonts:[]},"-largeOp":{fonts:[]},"-smallOp":{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var l=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=l.offsetWidth/5;this.hiddenDiv.removeChild(l);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(k){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(n){for(var l=0,k=n.length;l<k;l++){if(n[l]==="STIX"){n.splice(l,1);k--;l--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=n[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var l=0,k=d.config.preloadWebFonts.length;l<k;l++){var n=d.FONTDATA.FONTS[d.config.preloadWebFonts[l]];if(!n.available){d.Font.testFont(n)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(o){var u=o.jax[this.id],v,r=u.length,z,t,A,n,y,l,x,q,s,k,w=false,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}t=z.previousSibling;if(t&&String(t.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)){t.parentNode.removeChild(t)}l=z.MathJax.elementJax;if(!l){continue}l.HTMLCSS={display:(l.root.Get("display")==="block")};A=n=this.Element("span",{className:"MathJax",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick});if(b.Browser.noContextMenu){A.ontouchstart=a.start;A.ontouchend=a.end}if(l.HTMLCSS.display){n=this.Element("div",{className:"MathJax_Display"});n.appendChild(A)}else{if(this.msieDisappearingBug){A.style.display="inline-block"}}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.EmExSpan.cloneNode(true),z);if(w){n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;q=y.lastChild.firstChild.offsetHeight/60;if(w){k=n.previousSibling.firstChild.offsetWidth}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.HTMLCSS.isHidden=true;x=this.defaultEx;q=this.defaultEm;if(w){k=this.defaultWidth}}s=(this.config.matchFontHeight?x/this.TeX.x_height/q:1);s=Math.floor(Math.max(this.config.minScaleAdjust/100,s)*this.config.scale);l.HTMLCSS.scale=s/100;l.HTMLCSS.fontSize=s+"%";l.HTMLCSS.em=l.HTMLCSS.outerEm=q;this.em=q*s/100;l.HTMLCSS.ex=x;l.HTMLCSS.lineWidth=(B?this.length2em(p,1,k/this.em):1000000)}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=u[v].previousSibling;l=u[v].MathJax.elementJax;if(!l){continue}if(w){A=y.previousSibling;if(!l.HTMLCSS.isHidden){A=A.previousSibling}A.parentNode.removeChild(A)}y.parentNode.removeChild(y)}o.HTMLCSSeqn=o.HTMLCSSlast=0;o.HTMLCSSi=-1;o.HTMLCSSchunk=this.config.EqnChunk;o.HTMLCSSdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.HTMLCSSdelay){p.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.HTMLCSS.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.HTMLCSS.em*k.HTMLCSS.scale;this.outerEm=k.HTMLCSS.em;this.scale=k.HTMLCSS.scale;this.linebreakWidth=k.HTMLCSS.lineWidth;if(this.scale!==1){m.style.fontSize=k.HTMLCSS.fontSize}this.initImg(m);this.initHTML(o,m);o.setTeXclass();try{o.toHTML(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}if(k.HTMLCSS.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_Processed";if(l.MathJax.preview){k.HTMLCSS.preview=l.MathJax.preview;delete l.MathJax.preview}p.HTMLCSSeqn+=(p.i-p.HTMLCSSi);p.HTMLCSSi=p.i;if(p.HTMLCSSeqn>=p.HTMLCSSlast+p.HTMLCSSchunk){this.postTranslate(p,true);p.HTMLCSSchunk=Math.floor(p.HTMLCSSchunk*this.config.EqnChunkFactor);p.HTMLCSSdelay=true}}},postTranslate:function(s,o){var l=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=s.HTMLCSSlast,k=s.HTMLCSSeqn;q<k;q++){var n=l[q];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var r=n.MathJax.elementJax.HTMLCSS;if(r.preview){r.preview.innerHTML="";n.MathJax.preview=r.preview;delete r.preview}}}if(this.forceReflow){var p=(document.styleSheets||[])[0]||{};p.disabled=true;p.disabled=false}s.HTMLCSSlast=s.HTMLCSSeqn},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return b.getJaxFor(k)},getHoverSpan:function(k,l){return k.root.HTMLspanElement()},getHoverBBox:function(k,n,o){var p=n.bbox,m=k.HTMLCSS.outerEm;var l={w:p.w*m,h:p.h*m,d:p.d*m};if(p.width){l.width=p.width}return l},Zoom:function(l,v,u,k,s){v.className="MathJax";v.style.fontSize=l.HTMLCSS.fontSize;var x=v.appendChild(this.EmExSpan.cloneNode(true));var o=x.lastChild.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o;this.outerEm=o/l.HTMLCSS.scale;x.parentNode.removeChild(x);this.idPostfix="-zoom";l.root.toHTML(v,v);this.idPostfix="";var n=l.root.HTMLspanElement().bbox.width;if(n){v.style.width=Math.floor(k-1.5*d.em)+"px";v.style.display="inline-block";var m=(l.root.id||"MathJax-Span-"+l.root.spanID)+"-zoom";var p=document.getElementById(m).firstChild;while(p&&p.style.width!==n){p=p.nextSibling}if(p){p.style.width="100%"}}v.style.position="absolute";if(!n){u.style.position="absolute"}var t=v.offsetWidth,r=v.offsetHeight,w=u.offsetHeight,q=u.offsetWidth;if(q===0){q=u.parentNode.offsetWidth}v.style.position=u.style.position="";return{Y:-j.getBBox(v).h,mW:q,mH:w,zW:t,zH:r}},initImg:function(k){},initHTML:function(l,k){},initFont:function(k){var m=d.FONTDATA.FONTS,l=d.config.availableFonts;if(l&&l.length&&d.Font.testFont(m[k])){m[k].available=true;return null}if(!this.allowWebFonts){return null}m[k].isWebFont=true;if(d.FontFaceBug){m[k].family=k;if(d.msieFontCSSBug){m[k].family+="-Web"}}return h.Styles({"@font-face":this.Font.fontFace(k)})},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.HTMLCSS.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.HTMLCSS},getHD:function(l){var k=l.style.position;l.style.position="absolute";this.HDimg.style.height="0px";l.appendChild(this.HDspan);var m={h:l.offsetHeight};this.HDimg.style.height=m.h+"px";m.d=l.offsetHeight-m.h;m.h-=m.d;m.h/=this.em;m.d/=this.em;l.removeChild(this.HDspan);l.style.position=k;return m},getW:function(o){var l,n,m=(o.bbox||{}).w,p=o;if(o.bbox&&o.bbox.exactW){return m}if((o.bbox&&m>=0&&!this.initialSkipBug)||this.negativeBBoxes||!o.firstChild){l=o.offsetWidth;n=o.parentNode.offsetHeight}else{if(o.bbox&&m<0&&this.msieNegativeBBoxBug){l=-o.offsetWidth,n=o.parentNode.offsetHeight}else{if(this.initialSkipBug){var k=o.style.position;o.style.position="absolute";p=this.startMarker;o.insertBefore(p,o.firstChild)}o.appendChild(this.endMarker);l=this.endMarker.offsetLeft-p.offsetLeft;o.removeChild(this.endMarker);if(this.initialSkipBug){o.removeChild(p);o.style.position=k}}}if(n!=null){o.parentNode.HH=n/this.em}return l/this.em},Measured:function(m,l){var n=m.bbox;if(n.width==null&&n.w&&!n.isMultiline){var k=this.getW(m);n.rw+=k-n.w;n.w=k;n.exactW=true}if(!l){l=m.parentNode}if(!l.bbox){l.bbox=n}return m},Remeasured:function(l,k){k.bbox=this.Measured(l,k).bbox},MeasureSpans:function(o){var r=[],t,q,n,u,k,p,l,s;for(q=0,n=o.length;q<n;q++){t=o[q];if(!t){continue}u=t.bbox;s=this.parentNode(t);if(u.exactW||u.width||u.w===0||u.isMultiline){if(!s.bbox){s.bbox=u}continue}if(this.negativeBBoxes||!t.firstChild||(u.w>=0&&!this.initialSkipBug)||(u.w<0&&this.msieNegativeBBoxBug)){r.push([t])}else{if(this.initialSkipBug){k=this.startMarker.cloneNode(true);p=this.endMarker.cloneNode(true);t.insertBefore(k,t.firstChild);t.appendChild(p);r.push([t,k,p,t.style.position]);t.style.position="absolute"}else{p=this.endMarker.cloneNode(true);t.appendChild(p);r.push([t,null,p])}}}for(q=0,n=r.length;q<n;q++){t=r[q][0];u=t.bbox;s=this.parentNode(t);if((u.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!t.firstChild){l=t.offsetWidth;s.HH=s.offsetHeight/this.em}else{if(u.w<0&&this.msieNegativeBBoxBug){l=-t.offsetWidth,s.HH=s.offsetHeight/this.em}else{l=r[q][2].offsetLeft-((r[q][1]||{}).offsetLeft||0)}}l/=this.em;u.rw+=l-u.w;u.w=l;u.exactW=true;if(!s.bbox){s.bbox=u}}for(q=0,n=r.length;q<n;q++){t=r[q];if(t[1]){t[1].parentNode.removeChild(t[1]),t[0].style.position=t[3]}if(t[2]){t[2].parentNode.removeChild(t[2])}}},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(k){k=(Math.round(k*d.em)+0.05)/d.em;if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(k){return parseFloat(k)},Px:function(k){k*=this.em;var l=(k<0?"-":"");return l+Math.abs(k).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(k){return parseFloat(k)/this.em},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(r,l,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===g.SIZE.NORMAL){return 1}if(r===g.SIZE.BIG){return 2}if(r===g.SIZE.SMALL){return 0.71}if(r==="infinity"){return d.BIGDIMEN}var o=this.FONTDATA.TeX_factor;if(r.match(/mathspace$/)){return d.MATHSPACE[r]*o}var n=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1"),q=n[2];if(p==null){p=1}if(l==null){l=1}if(q==="em"){return k*o}if(q==="ex"){return k*d.TeX.x_height*o}if(q==="%"){return k/100*p}if(q==="px"){return k/d.em}if(q==="pt"){return k/10*o}if(q==="pc"){return k*1.2*o}if(q==="in"){return k*this.pxPerInch/d.em}if(q==="cm"){return k*this.pxPerInch/d.em/2.54}if(q==="mm"){return k*this.pxPerInch/d.em/25.4}if(q==="mu"){return k/18*o*l}return k*o*p},thickness2em:function(l,k){var m=d.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(p){var m={top:0,right:0,bottom:0,left:0},n={},l=false;for(var q in m){if(m.hasOwnProperty(q)){var k="border"+q.charAt(0).toUpperCase()+q.substr(1);var o=p.style[k+"Style"];if(o){l=true;m[q]=this.length2em(p.style[k+"Width"]);n[k]=[p.style[k+"Width"],p.style[k+"Style"],p.style[k+"Color"]].join(" ")}}}m.css=n;return(l?m:false)},setBorders:function(k,l){if(l){for(var m in l.css){if(l.css.hasOwnProperty(m)){k.style[m]=l.css[m]}}}},createStrut:function(m,l,n){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:l+"px",width:"1px",marginRight:"-1px"}});if(n){m.insertBefore(k,m.firstChild)}else{m.appendChild(k)}return k},createBlank:function(l,k,m){var n=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(k)}});if(m){l.insertBefore(n,l.firstChild)}else{l.appendChild(n)}return n},createShift:function(l,k,n){var m=this.Element("span",{style:{marginLeft:this.Em(k)},isMathJax:true});if(n){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}return m},createSpace:function(p,n,o,q,m,s){if(n<-o){o=-n}var r=this.Em(n+o),k=this.Em(-o);if(this.msieInlineBlockAlignBug){k=this.Em(d.getHD(p.parentNode).d-o)}if(p.isBox||s){var l=(p.scale==null?1:p.scale);p.bbox={exactW:true,h:n*l,d:o*l,w:q*l,rw:q*l,lw:0};p.style.height=r;p.style.verticalAlign=k;p.HH=(n+o)*l}else{p=this.addElement(p,"span",{style:{height:r,verticalAlign:k},isMathJax:true})}if(q>=0){p.style.width=this.Em(q);p.style.display="inline-block";p.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){p.style.height=""}p.style.marginLeft=this.Em(q);if(d.safariNegativeSpaceBug&&p.parentNode.firstChild==p){this.createBlank(p,0,true)}}if(m&&m!==g.COLOR.TRANSPARENT){p.style.backgroundColor=m;p.style.position="relative"}return p},createRule:function(r,n,p,s,l){if(n<-p){p=-n}var m=d.TeX.min_rule_thickness,o=1;if(s>0&&s*this.em<m){s=m/this.em}if(n+p>0&&(n+p)*this.em<m){o=1/(n+p)*(m/this.em);n*=o;p*=o}if(!l){l="solid"}else{l="solid "+l}l=this.Em(s)+" "+l;var t=(o===1?this.Em(n+p):m+"px"),k=this.Em(-p);var q=this.addElement(r,"span",{style:{borderLeft:l,display:"inline-block",overflow:"hidden",width:0,height:t,verticalAlign:k},bbox:{h:n,d:p,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:n+p,isMathJax:true});if(s>0&&q.offsetWidth==0){q.style.width=this.Em(s)}if(r.isBox||r.className=="mspace"){r.bbox=q.bbox,r.HH=n+p}return q},createFrame:function(s,q,r,u,x,l){if(q<-r){r=-q}var p=2*x;if(this.msieFrameSizeBug){if(u<p){u=p}if(q+r<p){q=p-r}}if(this.msieBorderWidthBug){p=0}var v=this.Em(q+r-p),k=this.Em(-r-x),o=this.Em(u-p);var m=this.Em(x)+" "+l;var n=this.addElement(s,"span",{style:{border:m,display:"inline-block",overflow:"hidden",width:o,height:v},bbox:{h:q,d:r,w:u,rw:u,lw:0,exactW:true},noAdjust:true,HH:q+r,isMathJax:true});if(k){n.style.verticalAlign=k}return n},parentNode:function(l){var k=l.parentNode;if(k.nodeName.toLowerCase()==="a"){k=k.parentNode}return k},createStack:function(m,o,l){if(this.msiePaddingWidthBug){this.createStrut(m,0)}var n=String(l).match(/%$/);var k=(!n&&l!=null?l:0);m=this.addElement(m,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(n?"100%":this.Em(k)),height:0}});if(!o){m.parentNode.bbox=m.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:k,lw:this.BIGDIMEN,rw:(!n&&l!=null?l:-this.BIGDIMEN)};if(n){m.bbox.width=l}}return m},createBox:function(l,k){var m=this.addElement(l,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(k!=null){m.style.width=k}return m},addBox:function(k,l){l.style.position="absolute";l.isBox=l.isMathJax=true;return k.appendChild(l)},placeBox:function(u,s,q,o){u.isMathJax=true;var v=d.parentNode(u),C=u.bbox,z=v.bbox;if(this.msiePlaceBoxBug){this.addText(u,this.NBSP)}if(this.imgSpaceBug){this.addText(u,this.imgSpace)}var w,F=0;if(u.HH!=null){w=u.HH}else{if(C){w=Math.max(3,C.h+C.d)}else{w=u.offsetHeight/this.em}}if(!u.noAdjust){w+=1;w=Math.round(w*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(u,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(w)}})}else{this.addElement(u,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(w)}});if(d.chromeHeightBug){w-=(u.lastChild.offsetHeight-Math.round(w*this.em))/this.em}}}if(C){if(this.initialSkipBug){if(C.lw<0){F=C.lw;d.createBlank(u,-F,true)}if(C.rw>C.w){d.createBlank(u,C.rw-C.w+0.1)}}if(!this.msieClipRectBug&&!C.noclip&&!o){var B=3/this.em;var A=(C.H==null?C.h:C.H),m=(C.D==null?C.d:C.D);var E=w-A-B,p=w+m+B,n=C.lw-3*B,k=1000;if(this.initialSkipBug&&C.lw<0){n=-3*B}if(C.isFixed){k=C.width-n}u.style.clip="rect("+this.Em(E)+" "+this.Em(k)+" "+this.Em(p)+" "+this.Em(n)+")"}}u.style.top=this.Em(-q-w);u.style.left=this.Em(s+F);if(C&&z){if(C.H!=null&&(z.H==null||C.H+q>z.H)){z.H=C.H+q}if(C.D!=null&&(z.D==null||C.D-q>z.D)){z.D=C.D-q}if(C.h+q>z.h){z.h=C.h+q}if(C.d-q>z.d){z.d=C.d-q}if(z.H!=null&&z.H<=z.h){delete z.H}if(z.D!=null&&z.D<=z.d){delete z.D}if(C.w+s>z.w){z.w=C.w+s;if(z.width==null){v.style.width=this.Em(z.w)}}if(C.rw+s>z.rw){z.rw=C.rw+s}if(C.lw+s<z.lw){z.lw=C.lw+s}if(C.width!=null&&!C.isFixed){if(z.width==null){v.style.width=z.width="100%";if(C.minWidth){v.style.minWidth=z.minWidth=C.minWidth}}u.style.width=C.width}}},alignBox:function(n,t,s){this.placeBox(n,0,s);var p=n.bbox;if(p.isMultiline){return}var m=p.width!=null&&!p.isFixed;var o=0,q=-p.w/2,k="50%";if(this.initialSkipBug){o=p.w-p.rw-0.1;q+=p.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(m){q="";k=(50-parseFloat(p.width)/2)+"%"}b.Insert(n.style,({right:{left:"",right:this.Em(o)},center:{left:k,marginLeft:q}})[t])},setStackWidth:function(l,k){if(typeof(k)==="number"){l.style.width=this.Em(Math.max(0,k));var m=l.bbox;if(m){m.w=k;m.exactW=true}m=l.parentNode.bbox;if(m){m.w=k;m.exactW=true}}else{l.style.width=l.parentNode.style.width="100%";if(l.bbox){l.bbox.width=k}if(l.parentNode.bbox){l.parentNode.bbox.width=k}}},createDelimiter:function(u,k,n,q,o){if(!k){u.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};u.bbox.rw=u.bbox.w;this.createSpace(u,u.bbox.h,u.bbox.d,u.bbox.w);return}if(!q){q=1}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){b.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var s=0,p=l.HW.length;s<p;s++){if(l.HW[s][0]*q>=n-0.01||(s==p-1&&!l.stretch)){if(l.HW[s][2]){q*=l.HW[s][2]}if(l.HW[s][3]){k=l.HW[s][3]}var r=this.addElement(u,"span");this.createChar(r,[k,l.HW[s][1]],q,o);u.bbox=r.bbox;u.offset=0.65*u.bbox.w;u.scale=q;return}}if(l.stretch){this["extendDelimiter"+l.dir](u,t,l.stretch,q,o)}},extendDelimiterV:function(A,t,E,F,w){var o=this.createStack(A,true);var v=this.createBox(o),u=this.createBox(o);this.createChar(v,(E.top||E.ext),F,w);this.createChar(u,(E.bot||E.ext),F,w);var m={bbox:{w:0,lw:0,rw:0}},D=m,p;var B=v.bbox.h+v.bbox.d+u.bbox.h+u.bbox.d;var r=-v.bbox.h;this.placeBox(v,0,r,true);r-=v.bbox.d;if(E.mid){D=this.createBox(o);this.createChar(D,E.mid,F,w);B+=D.bbox.h+D.bbox.d}if(E.min&&t<B*E.min){t=B*E.min}if(t>B){m=this.Element("span");this.createChar(m,E.ext,F,w);var C=m.bbox.h+m.bbox.d,l=C-0.05,x,q,z=(E.mid?2:1);q=x=Math.min(Math.ceil((t-B)/(z*l)),this.maxStretchyParts);if(!E.fullExtenders){l=(t-B)/(z*x)}var s=(x/(x+1))*(C-l);l=C-s;r+=s+l-m.bbox.h;while(z-->0){while(x-->0){if(!this.msieCloneNodeBug){p=m.cloneNode(true)}else{p=this.Element("span");this.createChar(p,E.ext,F,w)}p.bbox=m.bbox;r-=l;this.placeBox(this.addBox(o,p),0,r,true)}r+=s-m.bbox.d;if(E.mid&&z){this.placeBox(D,0,r-D.bbox.h,true);x=q;r+=-(D.bbox.h+D.bbox.d)+s+l-m.bbox.h}}}else{r+=(B-t)/2;if(E.mid){this.placeBox(D,0,r-D.bbox.h,true);r+=-(D.bbox.h+D.bbox.d)}r+=(B-t)/2}this.placeBox(u,0,r-u.bbox.h,true);r-=u.bbox.h+u.bbox.d;A.bbox={w:Math.max(v.bbox.w,m.bbox.w,u.bbox.w,D.bbox.w),lw:Math.min(v.bbox.lw,m.bbox.lw,u.bbox.lw,D.bbox.lw),rw:Math.max(v.bbox.rw,m.bbox.rw,u.bbox.rw,D.bbox.rw),h:0,d:-r,exactW:true};A.scale=F;A.offset=0.55*A.bbox.w;A.isMultiChar=true;this.setStackWidth(o,A.bbox.w)},extendDelimiterH:function(B,o,E,G,y){var r=this.createStack(B,true);var p=this.createBox(r),C=this.createBox(r);this.createChar(p,(E.left||E.rep),G,y);this.createChar(C,(E.right||E.rep),G,y);var l=this.Element("span");this.createChar(l,E.rep,G,y);var D={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},m;this.placeBox(p,-p.bbox.lw,0,true);var u=(p.bbox.rw-p.bbox.lw)+(C.bbox.rw-C.bbox.lw)-0.05,t=p.bbox.rw-p.bbox.lw-0.025,v;if(E.mid){D=this.createBox(r);this.createChar(D,E.mid,G,y);u+=D.bbox.w}if(E.min&&o<u*E.min){o=u*E.min}if(o>u){var F=l.bbox.rw-l.bbox.lw,q=F-0.05,z,s,A=(E.mid?2:1);s=z=Math.min(Math.ceil((o-u)/(A*q)),this.maxStretchyParts);if(!E.fillExtenders){q=(o-u)/(A*z)}v=(z/(z+1))*(F-q);q=F-v;t-=l.bbox.lw+v;while(A-->0){while(z-->0){if(!this.cloneNodeBug){m=l.cloneNode(true)}else{m=this.Element("span");this.createChar(m,E.rep,G,y)}m.bbox=l.bbox;this.placeBox(this.addBox(r,m),t,0,true);t+=q}if(E.mid&&A){this.placeBox(D,t,0,true);t+=D.bbox.w-v;z=s}}}else{t-=(u-o)/2;if(E.mid){this.placeBox(D,t,0,true);t+=D.bbox.w}t-=(u-o)/2}this.placeBox(C,t,0,true);B.bbox={w:t+C.bbox.rw,lw:0,rw:t+C.bbox.rw,H:Math.max(p.bbox.h,l.bbox.h,C.bbox.h,D.bbox.h),D:Math.max(p.bbox.d,l.bbox.d,C.bbox.d,D.bbox.d),h:l.bbox.h,d:l.bbox.d,exactW:true};B.scale=G;B.isMultiChar=true;this.setStackWidth(r,B.bbox.w)},createChar:function(s,p,n,k){s.isMathJax=true;var r=s,t="",o={fonts:[p[1]],noRemap:true};if(k&&k===g.VARIANT.BOLD){o.fonts=[p[1]+"-bold",p[1]]}if(typeof(p[1])!=="string"){o=p[1]}if(p[0] instanceof Array){for(var q=0,l=p[0].length;q<l;q++){t+=String.fromCharCode(p[0][q])}}else{t=String.fromCharCode(p[0])}if(p[4]){n*=p[4]}if(n!==1||p[3]){r=this.addElement(s,"span",{style:{fontSize:this.Percent(n)},scale:n,isMathJax:true});this.handleVariant(r,o,t);s.bbox=r.bbox}else{this.handleVariant(s,o,t)}if(p[2]){s.style.marginLeft=this.Em(p[2])}if(p[3]){s.firstChild.style.verticalAlign=this.Em(p[3]);s.bbox.h+=p[3];if(s.bbox.h<0){s.bbox.h=0}}if(p[5]){s.bbox.h+=p[5]}if(p[6]){s.bbox.d+=p[6]}if(this.AccentBug&&s.bbox.w===0){r.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(l,k){k-=l.bbox.h;l.bbox.d-=k;l.bbox.h+=k;if(k){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&l.isMultiChar)){if(l.firstChild.style.display===""&&l.style.top!==""){l=l.firstChild;k-=d.unEm(l.style.top)}l.style.position="relative";l.style.top=this.Em(-k)}else{l.style.verticalAlign=this.Em(k);if(d.ffVerticalAlignBug){d.createRule(l.parentNode,l.bbox.h,0,0)}}}},handleVariant:function(A,p,s){var z="",x,C,t,D,k=A,l=!!A.style.fontFamily;if(s.length===0){return}if(!A.bbox){A.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!p){p=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}D=p;for(var B=0,y=s.length;B<y;B++){p=D;x=s.charCodeAt(B);C=s.charAt(B);if(x>=55296&&x<56319){B++;x=(((x-55296)<<10)+(s.charCodeAt(B)-56320))+65536;if(this.FONTDATA.RemapPlane1){var E=this.FONTDATA.RemapPlane1(x,p);x=E.n;p=E.variant}}else{var u,r,v=this.FONTDATA.RANGES;for(u=0,r=v.length;u<r;u++){if(v[u].name==="alpha"&&p.noLowerCase){continue}var q=p["offset"+v[u].offset];if(q&&x>=v[u].low&&x<=v[u].high){if(v[u].remap&&v[u].remap[x]){x=q+v[u].remap[x]}else{x=x-v[u].low+q;if(v[u].add){x+=v[u].add}}if(p["variant"+v[u].offset]){p=this.FONTDATA.VARIANT[p["variant"+v[u].offset]]}break}}}if(p.remap&&p.remap[x]){if(p.remap[x] instanceof Array){var o=p.remap[x];x=o[0];p=this.FONTDATA.VARIANT[o[1]]}else{if(typeof(p.remap[x])==="string"){s=p.remap[x]+s.substr(B+1);B=0;y=s.length;x=s.charCodeAt(0)}else{x=p.remap[x];if(p.remap.variant){p=this.FONTDATA.VARIANT[p.remap.variant]}}}}if(this.FONTDATA.REMAP[x]&&!p.noRemap){x=this.FONTDATA.REMAP[x];if(x instanceof Array){p=this.FONTDATA.VARIANT[x[1]];x=x[0]}if(typeof(x)==="string"){s=x+s.substr(B+1);B=0;y=s.length;x=x.charCodeAt(0)}}t=this.lookupChar(p,x);C=t[x];if(l||(!this.checkFont(t,k.style)&&!C[5].img)){if(z.length){this.addText(k,z);z=""}var w=!!k.style.fontFamily||!!A.style.fontStyle||!!A.style.fontWeight||!t.directory||l;l=false;if(k!==A){w=!this.checkFont(t,A.style);k=A}if(w){k=this.addElement(A,"span",{isMathJax:true,subSpan:true})}this.handleFont(k,t,k!==A)}z=this.handleChar(k,t,C,x,z);if(!(C[5]||{}).space){if(C[0]/1000>A.bbox.h){A.bbox.h=C[0]/1000}if(C[1]/1000>A.bbox.d){A.bbox.d=C[1]/1000}}if(A.bbox.w+C[3]/1000<A.bbox.lw){A.bbox.lw=A.bbox.w+C[3]/1000}if(A.bbox.w+C[4]/1000>A.bbox.rw){A.bbox.rw=A.bbox.w+C[4]/1000}A.bbox.w+=C[2]/1000}if(z.length){this.addText(k,z)}if(A.scale&&A.scale!==1){A.bbox.h*=A.scale;A.bbox.d*=A.scale;A.bbox.w*=A.scale;A.bbox.lw*=A.scale;A.bbox.rw*=A.scale}if(s.length==1&&t.skew&&t.skew[x]){A.bbox.skew=t.skew[x]}},checkFont:function(k,l){var m=(l.fontWeight||"normal");if(m.match(/^\d+$/)){m=(parseInt(m)>=600?"bold":"normal")}return(k.family.replace(/'/g,"")===l.fontFamily.replace(/'/g,"")&&(k.style||"normal")===(l.fontStyle||"normal")&&(k.weight||"normal")===m)},handleFont:function(m,k,o){m.style.fontFamily=k.family;if(!k.directory){m.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&k.isWebFont)){var l=k.style||"normal",n=k.weight||"normal";if(l!=="normal"||o){m.style.fontStyle=l}if(n!=="normal"||o){m.style.fontWeight=n}}},handleChar:function(l,k,s,r,q){var p=s[5];if(p.space){if(q.length){this.addText(l,q)}d.createShift(l,s[2]/1000);return""}if(p.img){return this.handleImg(l,k,s,r,q)}if(p.isUnknown&&this.FONTDATA.DELIMITERS[r]){if(q.length){this.addText(l,q)}var o=l.scale;d.createDelimiter(l,r,0,1,k);if(this.FONTDATA.DELIMITERS[r].dir==="V"){l.style.verticalAlign=this.Em(l.bbox.d);l.bbox.h+=l.bbox.d;l.bbox.d=0}l.scale=o;s[0]=l.bbox.h*1000;s[1]=l.bbox.d*1000;s[2]=l.bbox.w*1000;s[3]=l.bbox.lw*1000;s[4]=l.bbox.rw*1000;return""}if(p.c==null){if(r<=65535){p.c=String.fromCharCode(r)}else{var m=r-65536;p.c=String.fromCharCode((m>>10)+55296)+String.fromCharCode((m&1023)+56320)}}if(p.rfix){this.addText(l,q+p.c);d.createShift(l,p.rfix/1000);return""}if(s[2]||!this.msieAccentBug||q.length){return q+p.c}d.createShift(l,s[3]/1000);d.createShift(l,(s[4]-s[3])/1000);this.addText(l,p.c);d.createShift(l,-s[4]/1000);return""},handleImg:function(l,k,p,o,m){return m},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]]);r[q[o]].name=q[o]}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){if(l[s].length===5){l[s][5]={}}if(d.allowWebFonts&&!l.available){this.loadWebFont(l)}else{return l}}else{this.findBlock(l,s)}}return this.unknownChar(p,s)},unknownChar:function(k,m){var l=(k.defaultFont||{family:d.config.undefinedFamily});if(k.bold){l.weight="bold"}if(k.italic){l.style="italic"}if(!l[m]){l[m]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",m,k]);return l},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(l){var k=MathJax.Callback.Queue();k.Push(["Require",h,this.fontDir+"/"+l]);if(this.imgFonts){if(!MathJax.isPacked){l=l.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}k.Push(["Require",h,this.webfontDir+"/png/"+l])}b.RestartAfter(k.Push({}))},loadWebFont:function(k){k.available=k.isWebFont=true;if(d.FontFaceBug){k.family=k.name;if(d.msieFontCSSBug){k.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(k))},loadWebFontError:function(l,k){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");l.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);h.Require(this.directory+"/imageFonts.js",k)}else{this.allowWebFonts=false;k()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.type!="mrow"){o=this.HTMLhandleSize(o)}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o)}}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}if(this.HTMLlineBreaks(o)){o=this.HTMLmultiline(o)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){g.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(q,p,o,k){if(o==null){o=0}if(k==null){k=this.data.length}var n=q.bbox={exactW:true},r=[];while(o<k){var l=this.data[o];if(!l){continue}if(!p&&l.HTMLcanStretch("Vertical")){r.push(l);l=(l.CoreMO()||l)}this.HTMLcombineBBoxes(l,n);o++}this.HTMLcleanBBox(n);return r},HTMLcombineBBoxes:function(k,l){if(l.w==null){this.HTMLemptyBBox(l)}var n=(k.bbox?k:k.HTMLspanElement());if(!n||!n.bbox){return}var m=n.bbox;if(m.d>l.d){l.d=m.d}if(m.h>l.h){l.h=m.h}if(m.D!=null&&m.D>l.D){l.D=m.D}if(m.H!=null&&m.H>l.H){l.H=m.H}if(n.style.paddingLeft){l.w+=d.unEm(n.style.paddingLeft)*(n.scale||1)}if(l.w+m.lw<l.lw){l.lw=l.w+m.lw}if(l.w+m.rw>l.rw){l.rw=l.w+m.rw}l.w+=m.w;if(n.style.paddingRight){l.w+=d.unEm(n.style.paddingRight)*(n.scale||1)}if(m.width){l.width=m.width;l.minWidth=m.minWidth}if(m.ic){l.ic=m.ic}else{delete l.ic}if(l.exactW&&!m.exactW){delete l.exactW}},HTMLemptyBBox:function(k){k.h=k.d=k.H=k.D=k.rw=-d.BIGDIMEN;k.w=0;k.lw=d.BIGDIMEN;return k},HTMLcleanBBox:function(k){if(k.h===this.BIGDIMEN){k.h=k.d=k.H=k.D=k.w=k.rw=k.lw=0}if(k.D<=k.d){delete k.D}if(k.H<=k.h){delete k.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(l){if(this.isEmbellished()){var k=this.Core();if(k&&k!==this){return k.HTMLcanStretch(l)}}return false},HTMLstretchH:function(l,k){return this.HTMLspanElement()},HTMLstretchV:function(l,k,m){return this.HTMLspanElement()},HTMLnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},HTMLmeasureChild:function(l,k){if(this.data[l]){d.Measured(this.data[l].toHTML(k),k)}else{k.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(l,k){if(!this.data[l]){this.SetData(l,g.mrow())}return this.data[l].toHTML(k)},HTMLcreateSpan:function(k){if(this.spanID){var l=this.HTMLspanElement();if(l&&(l.parentNode===k||(l.parentNode||{}).parentNode===k)){while(l.firstChild){l.removeChild(l.firstChild)}l.bbox=this.HTMLzeroBBox();l.scale=1;l.isMultChar=l.HH=null;l.style.cssText="";return l}}if(this.href){k=d.addElement(k,"a",{href:this.href,isMathJax:true})}k=d.addElement(k,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){k.style.display="inline-block"}if(this["class"]){k.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}k.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;k.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){k.style.cssText=this.style;if(k.style.fontSize){this.mathsize=k.style.fontSize;k.style.fontSize=""}this.styles={border:d.getBorders(k),padding:d.getPadding(k)};if(this.styles.border){k.style.border=""}if(this.styles.padding){k.style.padding=""}}if(this.href){k.parentNode.bbox=k.bbox}return k},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(l,k,m){d.handleVariant(l,k,m)},HTMLhandleSize:function(k){if(!k.scale){k.scale=this.HTMLgetScale();if(k.scale!==1){k.style.fontSize=d.Percent(k.scale)}}return k},HTMLhandleDir:function(l){var k=this.Get("dir",true);if(k){l.dir=k}return l},HTMLhandleColor:function(w){var y=this.getValues("mathcolor","color");if(this.mathbackground){y.mathbackground=this.mathbackground}if(this.background){y.background=this.background}if(this.style&&w.style.backgroundColor){y.mathbackground=w.style.backgroundColor;w.style.backgroundColor="transparent"}var t=(this.styles||{}).border,v=(this.styles||{}).padding;if(y.color&&!this.mathcolor){y.mathcolor=y.color}if(y.background&&!this.mathbackground){y.mathbackground=y.background}if(y.mathcolor){w.style.color=y.mathcolor}if((y.mathbackground&&y.mathbackground!==g.COLOR.TRANSPARENT)||t||v){var A=w.bbox,z=(A.exact?0:1/d.em),u=0,s=0,m=w.style.paddingLeft,q=w.style.paddingRight;if(this.isToken){u=A.lw;s=A.rw-A.w}if(m!==""){u+=d.unEm(m)*(w.scale||1)}if(q!==""){s-=d.unEm(q)*(w.scale||1)}var l=(d.PaddingWidthBug||A.keepPadding||A.exactW?0:s-u);var o=Math.max(0,d.getW(w)+l);var x=A.h+A.d,k=-A.d,r=0,p=0;if(o>0){o+=2*z;u-=z}if(x>0){x+=2*z;k-=z}s=-o-u;if(t){s-=t.right;k-=t.bottom;r+=t.left;p+=t.right;A.h+=t.top;A.d+=t.bottom;A.w+=t.left+t.right;A.lw-=t.left;A.rw+=t.right}if(v){x+=v.top+v.bottom;o+=v.left+v.right;s-=v.right;k-=v.bottom;r+=v.left;p+=v.right;A.h+=v.top;A.d+=v.bottom;A.w+=v.left+v.right;A.lw-=v.left;A.rw+=v.right}if(p){w.style.paddingRight=d.Em(p)}var n=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:y.mathbackground,width:d.Em(o),height:d.Em(x),verticalAlign:d.Em(k),marginLeft:d.Em(u),marginRight:d.Em(s)}});d.setBorders(n,t);if(A.width){n.style.width=A.width;n.style.marginRight="-"+A.width}if(d.msieInlineBlockAlignBug){n.style.position="relative";n.style.width=n.style.height=0;n.style.verticalAlign=n.style.marginLeft=n.style.marginRight="";n.style.border=n.style.padding="";if(t&&d.msieBorderWidthBug){x+=t.top+t.bottom;o+=t.left+t.right}n.style.width=d.Em(r+z);d.placeBox(d.addElement(n,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(y.mathbackground||"transparent"),width:d.Em(o),height:d.Em(x)}}),u,A.h+z);d.setBorders(n.firstChild,t)}w.parentNode.insertBefore(n,w);if(d.msieColorPositionBug){w.style.position="relative"}return n}return null},HTMLremoveColor:function(){var k=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(k){k.parentNode.removeChild(k)}},HTMLhandleSpace:function(o){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.HTMLgetMu(o);m.lspace=Math.max(0,d.length2em(m.lspace,l));m.rspace=Math.max(0,d.length2em(m.rspace,l));var k=this,n=this.Parent();while(n&&n.isEmbellished()&&n.Core()===k){k=n;n=n.Parent();o=k.HTMLspanElement()}if(m.lspace){o.style.paddingLeft=d.Em(m.lspace)}if(m.rspace){o.style.paddingRight=d.Em(m.rspace)}}}else{var p=this.texSpacing();if(p!==""){p=d.length2em(p,this.HTMLgetScale())/(o.scale||1);if(o.style.paddingLeft){p+=d.unEm(o.style.paddingLeft)}o.style.paddingLeft=d.Em(p)}}},HTMLgetScale:function(){var m=1,k=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var l=this.HTMLspanElement();if(l.style.fontSize!=""){k.fontsize=l.style.fontSize}}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}m=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=d.length2em(this.Get("scriptminsize"));if(m<k.scriptminsize){m=k.scriptminsize}}if(this.isToken){m*=d.length2em(k.mathsize)}return m},HTMLgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},HTMLgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.style){var m=this.HTMLspanElement();if(!k.family&&m.style.fontFamily){k.family=m.style.fontFamily}if(!k.weight&&m.style.fontWeight){k.weight=m.style.fontWeight}if(!k.style&&m.style.fontStyle){k.style=m.style.fontStyle}}if(k.weight&&k.weight.match(/^\d+$/)){k.weight=(parseInt(k.weight)>600?"bold":"normal")}var l=k.mathvariant;if(this.variantForm){l="-"+d.fontInUse+"-variant"}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:k.family,style:k.style,weight:k.weight}}}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}if(!(l in d.FONTDATA.VARIANT)){l="normal"}return d.FONTDATA.VARIANT[l]}},{HTMLautoload:function(){var k=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(h.Require(k))},HTMLautoloadFile:function(k){var l=d.autoloadDir+"/"+k+".js";b.RestartAfter(h.Require(l))},HTMLstretchH:function(l,k){this.HTMLremoveColor();return this.toHTML(l,k)},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();return this.toHTML(l,k,m)}});g.chars.Augment({toHTML:function(n,m,l,o){var r=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.entity.Augment({toHTML:function(n,m,l,o){var r=this.toString().replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.mi.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}var q=this.data.join(""),p=o.bbox;if(p.skew&&q.length!==1){delete p.skew}if(p.rw>p.w&&q.length===1&&!n.noIC){p.ic=p.rw-p.w;d.createBlank(o,p.ic);p.w=p.rw}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mn.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mo.Augment({toHTML:function(u){u=this.HTMLhandleSize(this.HTMLcreateSpan(u));if(this.data.length==0){return u}else{u.bbox=null}var x=this.data.join("");var q=this.HTMLgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){q=d.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var v=this.CoreParent(),o=(v&&v.isa(g.msubsup)&&this!==v.data[v.base]),l=(o?this.HTMLremapChars:null);if(x.length===1&&v&&v.isa(g.munderover)&&this.CoreText(v.data[v.base]).length===1){var s=v.data[v.over],t=v.data[v.under];if(s&&this===s.CoreMO()&&v.Get("accent")){l=d.FONTDATA.REMAPACCENT}else{if(t&&this===t.CoreMO()&&v.Get("accentunder")){l=d.FONTDATA.REMAPACCENTUNDER}}}if(o&&x.match(/['`"\u00B4\u2032-\u2037\u2057]/)){q=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var r=0,n=this.data.length;r<n;r++){if(this.data[r]){this.data[r].toHTML(u,q,this.HTMLremap,l)}}if(!u.bbox){u.bbox=this.HTMLzeroBBox()}if(x.length!==1){delete u.bbox.skew}if(d.AccentBug&&u.bbox.w===0&&x.length===1&&u.firstChild){u.firstChild.nodeValue+=d.NBSP;d.createSpace(u,0,0,-u.offsetWidth/d.em)}if(w.largeop){var k=(u.bbox.h-u.bbox.d)/2-d.TeX.axis_height*u.scale;if(d.safariVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.lastChild.style.verticalAlign=d.Em(d.unEm(u.lastChild.style.verticalAlign||0)/d.em-k/u.scale)}else{if(d.konquerorVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.style.position="relative";u.lastChild.style.position="relative";u.lastChild.style.top=d.Em(k/u.scale)}else{u.style.verticalAlign=d.Em(-k/u.scale)}}u.bbox.h-=k;u.bbox.d+=k;if(u.bbox.rw>u.bbox.w){u.bbox.ic=u.bbox.rw-u.bbox.w;d.createBlank(u,u.bbox.ic);u.bbox.w=u.bbox.rw}}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);this.HTMLhandleDir(u);return u},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while((k.isa(g.mrow)||k.isa(g.TeXAtom)||k.isa(g.mstyle)||k.isa(g.mphantom))&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},HTMLcanStretch:function(n){if(!this.Get("stretchy")){return false}var o=this.data.join("");if(o.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var m=l.data[l.over],k=l.data[l.under];if(m&&this===m.CoreMO()&&l.Get("accent")){o=d.FONTDATA.REMAPACCENT[o]||o}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER[o]||o}}}o=d.FONTDATA.DELIMITERS[o.charCodeAt(0)];return(o&&o.dir==n.substr(0,1))},HTMLstretchV:function(m,n,o){this.HTMLremoveColor();var r=this.getValues("symmetric","maxsize","minsize");var p=this.HTMLspanElement(),s=this.HTMLgetMu(p),q;var k=d.TeX.axis_height,l=p.scale;if(r.symmetric){q=2*Math.max(n-k,o+k)}else{q=n+o}r.maxsize=d.length2em(r.maxsize,s,p.bbox.h+p.bbox.d);r.minsize=d.length2em(r.minsize,s,p.bbox.h+p.bbox.d);q=Math.max(r.minsize,Math.min(r.maxsize,q));p=this.HTMLcreateSpan(m);d.createDelimiter(p,this.data.join("").charCodeAt(0),q,l);if(r.symmetric){q=(p.bbox.h+p.bbox.d)/2+k}else{q=(p.bbox.h+p.bbox.d)*n/(n+o)}d.positionDelimiter(p,q);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p},HTMLstretchH:function(o,k){this.HTMLremoveColor();var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}var n=this.HTMLspanElement(),l=this.HTMLgetMu(n),p=n.scale;m.maxsize=d.length2em(m.maxsize,l,n.bbox.w);m.minsize=d.length2em(m.minsize,l,n.bbox.w);k=Math.max(m.minsize,Math.min(m.maxsize,k));n=this.HTMLcreateSpan(o);d.createDelimiter(n,this.data.join("").charCodeAt(0),k,p,m.mathvariant);this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});g.mtext.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));var n=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){n={bold:n.bold,italic:n.italic,fontInherit:true}}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.merror.Augment({toHTML:function(l){var n=MathJax.HTML.addElement(l,"span",{style:{display:"inline-block"}});l=this.SUPER(arguments).toHTML.call(this,n);var m=d.getHD(n),k=d.getW(n);n.bbox={h:m.h,d:m.d,w:k,lw:0,rw:k,exactW:true};n.id=l.id;l.id=null;return n}});g.ms.Augment({toHTML:g.mbase.HTMLautoload});g.mglyph.Augment({toHTML:g.mbase.HTMLautoload});g.mspace.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);var m=this.getValues("height","depth","width");var l=this.HTMLgetMu(o);m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var n=d.length2em(m.height,l),p=d.length2em(m.depth,l),k=d.length2em(m.width,l);d.createSpace(o,n,p,k,m.mathbackground,true);return o}});g.mphantom.Augment({toHTML:function(o,l,q){o=this.HTMLcreateSpan(o);if(this.data[0]!=null){var p=this.data[0].toHTML(o);if(q!=null){d.Remeasured(this.data[0].HTMLstretchV(o,l,q),o)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(o,l),o)}else{p=d.Measured(p,o)}}o.bbox={w:p.bbox.w,h:p.bbox.h,d:p.bbox.d,lw:0,rw:0,exactW:true};for(var n=0,k=o.childNodes.length;n<k;n++){o.childNodes[n].style.visibility="hidden"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mpadded.Augment({toHTML:function(s,m,k){s=this.HTMLcreateSpan(s);if(this.data[0]!=null){var q=d.createStack(s,true);var n=d.createBox(q);var l=this.data[0].toHTML(n);if(k!=null){d.Remeasured(this.data[0].HTMLstretchV(n,m,k),n)}else{if(m!=null){d.Remeasured(this.data[0].HTMLstretchH(n,m),n)}else{d.Measured(l,n)}}var t=this.getValues("height","depth","width","lspace","voffset"),r=0,p=0,u=this.HTMLgetMu(s);if(t.lspace){r=this.HTMLlength2em(n,t.lspace,u)}if(t.voffset){p=this.HTMLlength2em(n,t.voffset,u)}d.placeBox(n,r,p);s.bbox={h:n.bbox.h,d:n.bbox.d,w:n.bbox.w,exactW:true,lw:Math.min(0,n.bbox.lw+r),rw:Math.max(n.bbox.w,n.bbox.rw+r),H:Math.max((n.bbox.H==null?-d.BIGDIMEN:n.bbox.H),n.bbox.h+p),D:Math.max((n.bbox.D==null?-d.BIGDIMEN:n.bbox.D),n.bbox.d-p)};if(t.height!==""){s.bbox.h=this.HTMLlength2em(n,t.height,u,"h",0)}if(t.depth!==""){s.bbox.d=this.HTMLlength2em(n,t.depth,u,"d",0)}if(t.width!==""){s.bbox.w=this.HTMLlength2em(n,t.width,u,"w",0)}if(s.bbox.H<=s.bbox.h){delete s.bbox.H}if(s.bbox.D<=s.bbox.d){delete s.bbox.D}var o=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;s.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||o.exec(t.height)||o.exec(t.width)||o.exec(t.depth));d.setStackWidth(q,s.bbox.w)}this.HTMLhandleSpace(s);this.HTMLhandleColor(s);return s},HTMLlength2em:function(q,r,l,s,k){if(k==null){k=-d.BIGDIMEN}var o=String(r).match(/width|height|depth/);var p=(o?q.bbox[o[0].charAt(0)]:(s?q.bbox[s]:0));var n=d.length2em(r,l,p);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,q.bbox[s]+n)}else{return n}},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mrow.Augment({HTMLlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&k.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(m,k){this.HTMLremoveColor();var l=this.HTMLspanElement();this.data[this.core].HTMLstretchH(l,k);this.HTMLcomputeBBox(l,true);this.HTMLhandleColor(l);return l},HTMLstretchV:function(m,l,n){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchV(k,l,n);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k}});g.mstyle.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mfrac.Augment({toHTML:function(D){D=this.HTMLcreateSpan(D);var m=d.createStack(D);var r=d.createBox(m),o=d.createBox(m);d.MeasureSpans([this.HTMLboxChild(0,r),this.HTMLboxChild(1,o)]);var k=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var I=this.HTMLgetScale(),C=k.displaystyle;var G=d.TeX.axis_height*I;if(k.bevelled){var F=(C?0.4:0.15);var s=Math.max(r.bbox.h+r.bbox.d,o.bbox.h+o.bbox.d)+2*F;var E=d.createBox(m);d.createDelimiter(E,47,s);d.placeBox(r,0,(r.bbox.d-r.bbox.h)/2+G+F);d.placeBox(E,r.bbox.w-F/2,(E.bbox.d-E.bbox.h)/2+G);d.placeBox(o,r.bbox.w+E.bbox.w-F,(o.bbox.d-o.bbox.h)/2+G-F)}else{var l=Math.max(r.bbox.w,o.bbox.w);var y=d.thickness2em(k.linethickness,I),A,z,x,w;var B=d.TeX.min_rule_thickness/this.em;if(C){x=d.TeX.num1;w=d.TeX.denom1}else{x=(y===0?d.TeX.num3:d.TeX.num2);w=d.TeX.denom2}x*=I;w*=I;if(y===0){A=Math.max((C?7:3)*d.TeX.rule_thickness,2*B);z=(x-r.bbox.d)-(o.bbox.h-w);if(z<A){x+=(A-z)/2;w+=(A-z)/2}}else{A=Math.max((C?2:0)*B+y,y/2+1.5*B);z=(x-r.bbox.d)-(G+y/2);if(z<A){x+=A-z}z=(G-y/2)-(o.bbox.h-w);if(z<A){w+=A-z}var n=d.createBox(m);d.createRule(n,y,0,l+2*y);d.placeBox(n,0,G-y/2)}d.alignBox(r,k.numalign,x);d.alignBox(o,k.denomalign,-w)}this.HTMLhandleSpace(D);this.HTMLhandleColor(D);return D},HTMLcanStretch:function(k){return false},HTMLhandleSpace:function(k){if(!this.texWithDelims){var l=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;k.style.paddingLeft=d.Em(l);k.style.paddingRight=d.Em(0.12)}}});g.msqrt.Augment({toHTML:function(w){w=this.HTMLcreateSpan(w);var z=d.createStack(w);var n=d.createBox(z),u=d.createBox(z),s=d.createBox(z);var r=this.HTMLgetScale();var A=d.TeX.rule_thickness*r,m,l,y,o;if(this.Get("displaystyle")){m=d.TeX.x_height*r}else{m=A}l=Math.max(A+m/4,1.5*d.TeX.min_rule_thickness/this.em);var k=this.HTMLboxChild(0,n);y=k.bbox.h+k.bbox.d+l+A;d.createDelimiter(s,8730,y,r);d.MeasureSpans([k,s]);o=k.bbox.w;var v=0;if(s.isMultiChar||(d.AdjustSurd&&d.imgFonts)){s.bbox.w*=0.95}if(s.bbox.h+s.bbox.d>y){l=((s.bbox.h+s.bbox.d)-(y-A))/2}var B=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!B||o<B.HW[0][0]*r||r<0.75){d.createRule(u,0,A,o)}else{d.createDelimiter(u,d.FONTDATA.RULECHAR,o,r)}y=k.bbox.h+l+A;l=y*d.rfuzz;if(s.isMultiChar){l=d.rfuzz}v=this.HTMLaddRoot(z,s,v,s.bbox.h+s.bbox.d-y,r);d.placeBox(s,v,y-s.bbox.h);d.placeBox(u,v+s.bbox.w,y-u.bbox.h+l);d.placeBox(n,v+s.bbox.w,0);this.HTMLhandleSpace(w);this.HTMLhandleColor(w);return w},HTMLaddRoot:function(m,l,k,o,n){return k}});g.mroot.Augment({toHTML:g.msqrt.prototype.toHTML,HTMLaddRoot:function(s,l,q,o,k){var m=d.createBox(s);if(this.data[1]){var p=this.data[1].toHTML(m);p.style.paddingRight=p.style.paddingLeft="";d.Measured(p,m)}else{m.bbox=this.HTMLzeroBBox()}var n=this.HTMLrootHeight(l.bbox.h+l.bbox.d,k,m)-o;var r=Math.min(m.bbox.w,m.bbox.rw);q=Math.max(r,l.offset);d.placeBox(m,q-r,n);return q-l.offset},HTMLrootHeight:function(m,l,k){return 0.45*(m-0.9*l)+0.6*l+Math.max(0,k.bbox.d-0.075)}});g.mfenced.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.data.open){this.data.open.toHTML(o)}if(this.data[0]!=null){this.data[0].toHTML(o)}for(var l=1,k=this.data.length;l<k;l++){if(this.data[l]){if(this.data["sep"+l]){this.data["sep"+l].toHTML(o)}this.data[l].toHTML(o)}}if(this.data.close){this.data.close.toHTML(o)}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLcomputeBBox:function(p,o){var l=p.bbox={},q=[];this.HTMLcheckStretchy(this.data.open,l,q,o);this.HTMLcheckStretchy(this.data[0],l,q,o);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.HTMLcheckStretchy(this.data["sep"+n],l,q,o);this.HTMLcheckStretchy(this.data[n],l,q,o)}}this.HTMLcheckStretchy(this.data.close,l,q,o);this.HTMLcleanBBox(l);return q},HTMLcheckStretchy:function(k,l,n,m){if(k){if(!m&&k.HTMLcanStretch("Vertical")){n.push(k);k=(k.CoreMO()||k)}this.HTMLcombineBBoxes(k,l)}}});g.menclose.Augment({toHTML:g.mbase.HTMLautoload});g.maction.Augment({toHTML:g.mbase.HTMLautoload});g.semantics.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.munderover.Augment({toHTML:function(L,H,F){var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toHTML.call(this,L)}L=this.HTMLcreateSpan(L);var P=this.HTMLgetScale();var q=d.createStack(L);var r=[],o=[],N=[],w,M,I;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M]=d.createBox(q);o[M]=this.data[M].toHTML(w);if(M==this.base){if(F!=null){this.data[this.base].HTMLstretchV(w,H,F)}else{if(H!=null){this.data[this.base].HTMLstretchH(w,H)}}N[M]=(F==null&&H!=null?false:this.data[M].HTMLcanStretch("Horizontal"))}else{N[M]=this.data[M].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(o);var n=-d.BIGDIMEN,K=n;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]){if(r[M].bbox.w>K){K=r[M].bbox.w}if(!N[M]&&K>n){n=K}}}if(F==null&&H!=null){n=H}else{if(n==-d.BIGDIMEN){n=K}}for(M=K=0,I=this.data.length;M<I;M++){if(this.data[M]){w=r[M];if(N[M]){w.bbox=this.data[M].HTMLstretchH(w,n).bbox}if(w.bbox.w>K){K=w.bbox.w}}}var E=d.TeX.rule_thickness,G=d.FONTDATA.TeX_factor;var p=r[this.base]||{bbox:this.HTMLzeroBBox()};var v,s,A,z,u,C,J,O=0;if(p.bbox.ic){O=1.3*p.bbox.ic+0.05}for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M];u=d.TeX.big_op_spacing5*P;var B=(M!=this.base&&l[this.ACCENTS[M]]);if(B&&w.bbox.w<=1/d.em+0.0001){w.bbox.w=w.bbox.rw-w.bbox.lw;w.bbox.noclip=true;if(w.bbox.lw){w.insertBefore(d.createSpace(w.parentNode,0,0,-w.bbox.lw),w.firstChild)}d.createBlank(w,0,0,w.bbox.rw+0.1)}C={left:0,center:(K-w.bbox.w)/2,right:K-w.bbox.w}[l.align];v=C;s=0;if(M==this.over){if(B){J=Math.max(E*P*G,2.5/this.em);u=0;if(p.bbox.skew){v+=p.bbox.skew}}else{A=d.TeX.big_op_spacing1*P*G;z=d.TeX.big_op_spacing3*P*G;J=Math.max(A,z-Math.max(0,w.bbox.d))}J=Math.max(J,1.5/this.em);v+=O/2;s=p.bbox.h+w.bbox.d+J;w.bbox.h+=u}else{if(M==this.under){if(B){J=3*E*P*G;u=0}else{A=d.TeX.big_op_spacing2*P*G;z=d.TeX.big_op_spacing4*P*G;J=Math.max(A,z-w.bbox.h)}J=Math.max(J,1.5/this.em);v-=O/2;s=-(p.bbox.d+w.bbox.h+J);w.bbox.d+=u}}d.placeBox(w,v,s)}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);return L},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.msubsup.Augment({toHTML:function(K,I,C){K=this.HTMLcreateSpan(K);var N=this.HTMLgetScale(),H=this.HTMLgetMu(K);var w=d.createStack(K),l,n=[];var o=d.createBox(w);if(this.data[this.base]){n.push(this.data[this.base].toHTML(o));if(C!=null){this.data[this.base].HTMLstretchV(o,I,C)}else{if(I!=null){this.data[this.base].HTMLstretchH(o,I)}}}else{o.bbox=this.HTMLzeroBBox()}var L=d.TeX.x_height*N,B=d.TeX.scriptspace*N*0.75;var k,x;if(this.HTMLnotEmpty(this.data[this.sup])){k=d.createBox(w);n.push(this.data[this.sup].toHTML(k))}if(this.HTMLnotEmpty(this.data[this.sub])){x=d.createBox(w);n.push(this.data[this.sub].toHTML(x))}d.MeasureSpans(n);if(k){k.bbox.w+=B;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}if(x){x.bbox.w+=B;x.bbox.rw=Math.max(x.bbox.w,x.bbox.rw)}d.placeBox(o,0,0);var m;if(k){m=this.data[this.sup].HTMLgetScale()}else{if(x){m=this.data[this.sub].HTMLgetScale()}else{m=this.HTMLgetScale()}}var F=d.TeX.sup_drop*m,E=d.TeX.sub_drop*m;var z=o.bbox.h-F,y=o.bbox.d+E,M=0,G;if(o.bbox.ic){o.bbox.w-=o.bbox.ic;M=1.3*o.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&o.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=y=0}}var J=this.getValues("subscriptshift","superscriptshift");J.subscriptshift=(J.subscriptshift===""?0:d.length2em(J.subscriptshift,H));J.superscriptshift=(J.superscriptshift===""?0:d.length2em(J.superscriptshift,H));if(!k){if(x){y=Math.max(y,d.TeX.sub1*N,x.bbox.h-(4/5)*L,J.subscriptshift);d.placeBox(x,o.bbox.w,-y,x.bbox)}}else{if(!x){l=this.getValues("displaystyle","texprimestyle");G=d.TeX[(l.displaystyle?"sup1":(l.texprimestyle?"sup3":"sup2"))];z=Math.max(z,G*N,k.bbox.d+(1/4)*L,J.superscriptshift);d.placeBox(k,o.bbox.w+M,z,k.bbox)}else{y=Math.max(y,d.TeX.sub2*N);var A=d.TeX.rule_thickness*N;if((z-k.bbox.d)-(x.bbox.h-y)<3*A){y=3*A-z+k.bbox.d+x.bbox.h;F=(4/5)*L-(z-k.bbox.d);if(F>0){z+=F;y-=F}}d.placeBox(k,o.bbox.w+M,Math.max(z,J.superscriptshift));d.placeBox(x,o.bbox.w,-Math.max(y,J.subscriptshift))}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mmultiscripts.Augment({toHTML:g.mbase.HTMLautoload});g.mtable.Augment({toHTML:g.mbase.HTMLautoload});g["annotation-xml"].Augment({toHTML:g.mbase.HTMLautoload});g.math.Augment({toHTML:function(u,l){var r=this.Get("alttext");if(r&&r!==""){l.setAttribute("aria-label",r)}var m=d.addElement(u,"nobr",{isMathJax:true});u=this.HTMLcreateSpan(m);var s=d.createStack(u),n=d.createBox(s),t;s.style.fontSize=m.parentNode.style.fontSize;m.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}g.mbase.prototype.displayAlign=b.config.displayAlign;g.mbase.prototype.displayIndent=b.config.displayIndent;var o=this.data[0].toHTML(n);o.bbox.exactW=false;t=d.Measured(o,n)}d.placeBox(n,0,0);u.style.width=d.Em((Math.round(t.bbox.w*this.em)+0.25)/d.outerEm);u.style.display="inline-block";var k=1/d.em,q=d.em/d.outerEm;d.em/=q;u.bbox.h*=q;u.bbox.d*=q;u.bbox.w*=q;u.bbox.lw*=q;u.bbox.rw*=q;if(t&&t.bbox.width!=null){u.style.minWidth=(t.bbox.minWidth||u.style.width);u.style.width=s.style.width=t.bbox.width;n.style.width="100%"}this.HTMLhandleColor(u);if(t){d.createRule(u,(t.bbox.h+k)*q,(t.bbox.d+k)*q,0)}if(!this.isMultiline&&this.Get("display")==="block"&&u.bbox.width==null){var v=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(v.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){v.indentalign=v.indentalignfirst}if(v.indentalign===g.INDENTALIGN.AUTO){v.indentalign=this.displayAlign}l.style.textAlign=v.indentalign;if(v.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){v.indentshift=v.indentshiftfirst}if(v.indentshift==="auto"){v.indentshift=this.displayIndent}if(v.indentshift&&v.indentalign!==g.INDENTALIGN.CENTER){u.style[{left:"marginLeft",right:"marginRight"}[v.indentalign]]=d.Em(d.length2em(v.indentshift))}}return u},HTMLspanElement:g.mbase.prototype.HTMLspanElement});g.TeXAtom.Augment({toHTML:function(l){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){if(this.texClass===g.TEXCLASS.VCENTER){var k=d.createStack(l);var m=d.createBox(k);d.Measured(this.data[0].toHTML(m),m);d.placeBox(m,0,d.TeX.axis_height-(m.bbox.h+m.bbox.d)/2+m.bbox.d)}else{l.bbox=this.data[0].toHTML(l).bbox}}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(k){var o=(document.documentMode||0);var n=k.versionAtLeast("7.0");var m=k.versionAtLeast("8.0")&&o>7;var l=(document.compatMode==="BackCompat");if(o<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:l,msieDisappearingBug:(o>=8),msieMarginScaleBug:(o<8),msiePaddingWidthBug:true,msieBorderWidthBug:l,msieFrameSizeBug:(o<=8),msieInlineBlockAlignBug:(!m||l),msiePlaceBoxBug:(m&&!l),msieClipRectBug:!m,msieNegativeSpaceBug:l,cloneNodeBug:(m&&k.version==="8.0"),initialSkipBug:(o<8),msieNegativeBBoxBug:(o>=8),msieIE6:!n,msieItalicWidthBug:true,FontFaceBug:true,msieFontCSSBug:k.isIE9,allowWebFonts:(o>=9?"woff":"eot")})},Firefox:function(l){var m=false;if(l.versionAtLeast("3.5")){var k=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,k.length)===k){m="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:m})},Safari:function(p){var n=p.versionAtLeast("3.0");var m=p.versionAtLeast("3.1");var k=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var l=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var q=(m&&p.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!p.versionAtLeast("5.0"))||(l!=null&&(l[1]<2||(l[1]==2&&l[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!m,safariTextNodeBug:!n,forceReflow:true,allowWebFonts:(m&&!q?"otf":false)});if(k){d.Augment({webFontDefault:(p.isMobile?"sans-serif":"serif")})}if(p.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(q){var o=b.config["HTML-CSS"];if(o){o.availableFonts=[];o.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(k){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(k.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(k){k.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:k.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(k.versionAtLeast("10.0")&&!k.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(k){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aJ=K.width.match(/%$/);var ay=b.createStack(t);var aG=this.HTMLgetScale(),aA=this.HTMLgetMu(t),aB=-1;var aq=[],au=[],ak=[],aw=[],av=[],af,ae,ap=-1,ad,ao,Z,aF,R,aC,aO=[];var al=b.FONTDATA.baselineskip*aG*K.useHeight,aT,I=b.FONTDATA.lineH*aG,O=b.FONTDATA.lineD*aG;for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);aw[af]=[];aq[af]=au[af]=0;for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){if(ak[ae]==null){if(ae>ap){ap=ae}av[ae]=b.createStack(b.createBox(ay));ak[ae]=-b.BIGDIMEN}aw[af][ae]=b.createBox(av[ae]);aO.push(aF.data[ae-Z].toHTML(aw[af][ae]))}}b.MeasureSpans(aO);for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){R=aF.data[ae-Z];if(R.isMultiline){aw[af][ae].style.width="100%"}if(R.isEmbellished()){aC=R.CoreMO();var aS=aC.Get("minsize",true);if(aS){var aL=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aT=aL.h+aL.d;if(aT){aS=b.length2em(aS,aA,aT);if(aS*aL.h/aT>aq[af]){aq[af]=aS*aL.h/aT}if(aS*aL.d/aT>au[af]){au[af]=aS*aL.d/aT}}}else{if(aC.HTMLcanStretch("Horizontal")){aS=b.length2em(aS,aA,aL.w);if(aS>ak[ae]){ak[ae]=aS}}}}}if(aw[af][ae].bbox.h>aq[af]){aq[af]=aw[af][ae].bbox.h}if(aw[af][ae].bbox.d>au[af]){au[af]=aw[af][ae].bbox.d}if(aw[af][ae].bbox.w>ak[ae]){ak[ae]=aw[af][ae].bbox.w}}}if(aq[0]+au[0]){aq[0]=Math.max(aq[0],I)}if(aq[aw.length-1]+au[aw.length-1]){au[aw.length-1]=Math.max(au[aw.length-1],O)}var aE=MathJax.Hub.SplitList;var az=aE(K.columnspacing),aQ=aE(K.rowspacing),e=aE(K.columnalign),E=aE(K.rowalign),d=aE(K.columnlines),z=aE(K.rowlines),aM=aE(K.columnwidth),V=[];for(af=0,ad=az.length;af<ad;af++){az[af]=b.length2em(az[af],aA)}for(af=0,ad=aQ.length;af<ad;af++){aQ[af]=b.length2em(aQ[af],aA)}while(az.length<ap){az.push(az[az.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aM.length<=ap){aM.push(aM[aM.length-1])}while(aQ.length<aw.length){aQ.push(aQ[aQ.length-1])}while(E.length<=aw.length){E.push(E[E.length-1])}while(z.length<aw.length){z.push(z[z.length-1])}if(av[aB]){e[aB]=(K.side.substr(0,1)==="l"?"left":"right");az[aB]=-ak[aB]}for(af=0,ad=aw.length;af<ad;af++){aF=this.data[af];V[af]=[];if(aF.rowalign){E[af]=aF.rowalign}if(aF.columnalign){V[af]=aE(aF.columnalign);while(V[af].length<=ap){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aD=Math.max.apply(Math,aq),X=Math.max.apply(Math,au);for(af=0,ad=aw.length;af<ad;af++){Z=((aD+X)-(aq[af]+au[af]))/2;aq[af]+=Z;au[af]+=Z}}aT=aq[0]+au[aw.length-1];for(af=0,ad=aw.length-1;af<ad;af++){aT+=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}var aI=0,aH=0,aV,g=aT;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aE(K.framespacing);if(w.length!=2){w=aE(this.defaults.framespacing)}aI=b.length2em(w[0],aA);aH=b.length2em(w[1],aA);g=aT+2*aH}var aj,aU,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=aw.length+1+ab}if(ab<1){ab=1}else{if(ab>aw.length){ab=aw.length}}aj=0;aU=-(aT+aH)+aq[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af]);aj+=N;aU+=N}}else{aj=({top:-(aq[0]+aH),bottom:aT+aH-aq[0],center:aT/2-aq[0],baseline:aT/2-aq[0],axis:aT/2+b.TeX.axis_height*aG-aq[0]})[K.align];aU=({top:-(aT+2*aH),bottom:0,center:-(aT/2+aH),baseline:-(aT/2+aH),axis:b.TeX.axis_height*aG-aT/2-aH})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,an=[],at=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aJ){ac=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){aM[af]=ac}ac=0;ag=1;ah=ap+1;for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac+=az[af]}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}ac/=ap+1;for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){if(aM[af]==="auto"){B+=ak[af]}else{if(aM[af]==="fit"){at[ah]=af;ah++;B+=ak[af]}else{if(aM[af].match(/%$/)){an[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aM[af],aA,1)}else{ak[af]=b.length2em(aM[af],aA);B+=ak[af]}}}}if(aJ){ac=0;for(af=0,ad=Math.min(ap,az.length);af<ad;af++){ac+=az[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}}for(af=0,ad=an.length;af<ad;af++){ak[an[af]]=b.length2em(aM[an[af]],aA,ac*S);B+=ak[an[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=at.length;af<ad;af++){ak[at[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ap;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ap;ae++){ak[ae]=Q}}}}var T=aj,o,r,aR;Z=(av[aB]?aB:0);for(ae=Z;ae<=ap;ae++){for(af=0,ad=aw.length;af<ad;af++){if(aw[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aB:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){aw[af][ae].bbox=R.HTMLstretchH(av[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aC=R.CoreMO();var aK=aC.symmetric;aC.symmetric=false;aw[af][ae].bbox=R.HTMLstretchV(av[ae],aq[af],au[af]).bbox;aw[af][ae].HH=null;aC.symmetric=aK}}aR=R.rowalign||this.data[af].rowalign||E[af];o=({top:aq[af]-aw[af][ae].bbox.h,bottom:aw[af][ae].bbox.d-au[af],center:((aq[af]-au[af])-(aw[af][ae].bbox.h-aw[af][ae].bbox.d))/2,baseline:0,axis:0})[aR]||0;aR=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(aw[af][ae],aR,T+o)}if(af<aw.length-1){T-=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}}T=aj}if(aJ){var G=b.createBox(ay);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aI);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ay.bbox}var aP=0,aW=aI,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ap+1);l=B/(ap+1)}for(ae=0;ae<=ap;ae++){b.placeBox(av[ae].parentNode,0,0);av[ae].style.position="relative";av[ae].style.left=b.Em(aW);av[ae].style.width="100%";av[ae].parentNode.parentNode.removeChild(av[ae].parentNode);var am=b.createBox(G);b.addBox(am,av[ae]);av[ae]=am;var h=am.style;h.display="inline-block";h.left=aP+"%";if(aM[ae].match(/%$/)){var u=parseFloat(aM[ae])*S;if(ah===0){h.width=(k+u)+"%";aP+=k+u;am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l);aW-=l}else{h.width=u+"%";aP+=u}}else{if(aM[ae]==="fit"||ah===0){h.width=k+"%";am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l-ak[ae]);aW+=ak[ae]-l;aP+=k}else{h.width=b.Em(ak[ae]);aW+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(am.firstChild,b.NBSP);am.firstChild.style.position="relative"}aW+=az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createBox(G);r.style.left=aP+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ay.bbox;b.placeBox(r,aW-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}else{var U=aI;for(ae=0;ae<=ap;ae++){if(!av[ae].bbox.width){b.setStackWidth(av[ae],ak[ae])}if(aM[ae]!=="auto"&&aM[ae]!=="fit"){av[ae].bbox.width=ak[ae];av[ae].bbox.isFixed=true}b.placeBox(av[ae].parentNode,U,0);U+=ak[ae]+az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}ay.bbox.d=-aU;ay.bbox.h=g+aU;b.setStackWidth(ay,ay.bbox.w+aI);aV=ay.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ay,g,0,aV,1.25/b.em,K.frame);b.addBox(ay,ai);b.placeBox(ai,0,aU,true);if(aJ){ai.style.width="100%"}}T=aj;for(af=0,ad=aw.length-1;af<ad;af++){o=Math.max(al,au[af]+aq[af+1]+aQ[af]);if(z[af]!=="none"){r=b.createRule(ay,1.25/b.em,0,aV);b.addBox(ay,r);r.bbox={h:1.25/b.em,d:0,w:aV,rw:aV,lw:0};b.placeBox(r,0,T-au[af]-(o-au[af]-aq[af+1])/2,true);if(z[af]==="dashed"||aJ){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aJ){r.style.width="100%"}}}T-=o}if(aJ){t.bbox.width=K.width;ay.style.width="100%"}if(av[aB]){var ax=ay.bbox.w,q;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift=this.displayIndent}var aN=b.createStack(t,false,"100%");b.addBox(aN,ay);b.alignBox(ay,ar.indentalign,0);if(ar.indentshift&&ar.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(ar.indentshift,aA);ax+=q;ay.style[ar.indentalign]=b.Em(q)}av[aB].parentNode.parentNode.removeChild(av[aB].parentNode);b.addBox(aN,av[aB]);b.alignBox(av[aB],e[aB],0);if(b.msieRelativeWidthBug){ay.style.top=av[aB].style.top=""}if(aJ){ay.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,aA);av[aB].style.marginRight=av[aB].style.marginLeft=b.Em(q);if(ar.indentalign===a.INDENTALIGN.CENTER){ax+=4*q+2*av[aB].bbox.w}else{if(ar.indentalign!==e[aB]){ax+=2*q+av[aB].bbox.w}}t.style.minWidth=t.bbox.minWidth=aN.style.minWidth=aN.bbox.minWidth=b.Em(ax)}if(!aJ){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aJ){if(!ai){ai=b.createFrame(ay,g,0,aV,0,"none");b.addBox(ay,ai);b.placeBox(ai,0,aU,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aI=K.width.match(/%$/);var ax=b.createStack(t);var aF=this.HTMLgetScale(),az=this.HTMLgetMu(t),aA=-1;var ap=[],at=[],ak=[],av=[],au=[],af,ae,ao=-1,ad,an,Z,aE,R,aB,aN=[],aS;var I=b.FONTDATA.lineH*aF*K.useHeight,O=b.FONTDATA.lineD*aF*K.useHeight;for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);av[af]=[];ap[af]=I;at[af]=O;for(ae=Z,an=aE.data.length+Z;ae<an;ae++){if(ak[ae]==null){if(ae>ao){ao=ae}au[ae]=b.createStack(b.createBox(ax));ak[ae]=-b.BIGDIMEN}av[af][ae]=b.createBox(au[ae]);aN.push(aE.data[ae-Z].toHTML(av[af][ae]))}}b.MeasureSpans(aN);for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);for(ae=Z,an=aE.data.length+Z;ae<an;ae++){R=aE.data[ae-Z];if(R.isMultiline){av[af][ae].style.width="100%"}if(R.isEmbellished()){aB=R.CoreMO();var aR=aB.Get("minsize",true);if(aR){var aK=aB.HTMLspanElement().bbox;if(aB.HTMLcanStretch("Vertical")){aS=aK.h+aK.d;if(aS){aR=b.length2em(aR,az,aS);if(aR*aK.h/aS>ap[af]){ap[af]=aR*aK.h/aS}if(aR*aK.d/aS>at[af]){at[af]=aR*aK.d/aS}}}else{if(aB.HTMLcanStretch("Horizontal")){aR=b.length2em(aR,az,aK.w);if(aR>ak[ae]){ak[ae]=aR}}}}}if(av[af][ae].bbox.h>ap[af]){ap[af]=av[af][ae].bbox.h}if(av[af][ae].bbox.d>at[af]){at[af]=av[af][ae].bbox.d}if(av[af][ae].bbox.w>ak[ae]){ak[ae]=av[af][ae].bbox.w}}}var aD=MathJax.Hub.SplitList;var ay=aD(K.columnspacing),aP=aD(K.rowspacing),e=aD(K.columnalign),E=aD(K.rowalign),d=aD(K.columnlines),z=aD(K.rowlines),aL=aD(K.columnwidth),V=[];for(af=0,ad=ay.length;af<ad;af++){ay[af]=b.length2em(ay[af],az)}for(af=0,ad=aP.length;af<ad;af++){aP[af]=b.length2em(aP[af],az)}while(ay.length<ao){ay.push(ay[ay.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aL.length<=ao){aL.push(aL[aL.length-1])}while(aP.length<av.length){aP.push(aP[aP.length-1])}while(E.length<=av.length){E.push(E[E.length-1])}while(z.length<av.length){z.push(z[z.length-1])}if(au[aA]){e[aA]=(K.side.substr(0,1)==="l"?"left":"right");ay[aA]=-ak[aA]}for(af=0,ad=av.length;af<ad;af++){aE=this.data[af];V[af]=[];if(aE.rowalign){E[af]=aE.rowalign}if(aE.columnalign){V[af]=aD(aE.columnalign);while(V[af].length<=ao){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aC=Math.max.apply(Math,ap),X=Math.max.apply(Math,at);for(af=0,ad=av.length;af<ad;af++){Z=((aC+X)-(ap[af]+at[af]))/2;ap[af]+=Z;at[af]+=Z}}aS=ap[0]+at[av.length-1];for(af=0,ad=av.length-1;af<ad;af++){aS+=Math.max(0,at[af]+ap[af+1]+aP[af])}var aH=0,aG=0,aU,g=aS;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aD(K.framespacing);if(w.length!=2){w=aD(this.defaults.framespacing)}aH=b.length2em(w[0],az);aG=b.length2em(w[1],az);g=aS+2*aG}var aj,aT,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=av.length+1+ab}if(ab<1){ab=1}else{if(ab>av.length){ab=av.length}}aj=0;aT=-(aS+aG)+ap[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max(0,at[af]+ap[af+1]+aP[af]);aj+=N;aT+=N}}else{aj=({top:-(ap[0]+aG),bottom:aS+aG-ap[0],center:aS/2-ap[0],baseline:aS/2-ap[0],axis:aS/2+b.TeX.axis_height*aF-ap[0]})[K.align];aT=({top:-(aS+2*aG),bottom:0,center:-(aS/2+aG),baseline:-(aS/2+aG),axis:b.TeX.axis_height*aF-aS/2-aG})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,am=[],ar=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aI){ac=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){aL[af]=ac}ac=0;ag=1;ah=ao+1;for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac+=ay[af]}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}ac/=ao+1;for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){if(aL[af]==="auto"){B+=ak[af]}else{if(aL[af]==="fit"){ar[ah]=af;ah++;B+=ak[af]}else{if(aL[af].match(/%$/)){am[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aL[af],az,1)}else{ak[af]=b.length2em(aL[af],az);B+=ak[af]}}}}if(aI){ac=0;for(af=0,ad=Math.min(ao,ay.length);af<ad;af++){ac+=ay[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}}for(af=0,ad=am.length;af<ad;af++){ak[am[af]]=b.length2em(aL[am[af]],az,ac*S);B+=ak[am[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=ar.length;af<ad;af++){ak[ar[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ao;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ao;ae++){ak[ae]=Q}}}}var T=aj,o,r,aQ;Z=(au[aA]?aA:0);for(ae=Z;ae<=ao;ae++){for(af=0,ad=av.length;af<ad;af++){if(av[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aA:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){av[af][ae].bbox=R.HTMLstretchH(au[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aB=R.CoreMO();var aJ=aB.symmetric;aB.symmetric=false;av[af][ae].bbox=R.HTMLstretchV(au[ae],ap[af],at[af]).bbox;av[af][ae].HH=null;if(av[af][ae].bbox.h>ap[af]){av[af][ae].bbox.H=av[af][ae].bbox.h;av[af][ae].bbox.h=ap[af]}if(av[af][ae].bbox.d>at[af]){av[af][ae].bbox.D=av[af][ae].bbox.d;av[af][ae].bbox.d=at[af]}aB.symmetric=aJ}}aQ=R.rowalign||this.data[af].rowalign||E[af];o=({top:ap[af]-av[af][ae].bbox.h,bottom:av[af][ae].bbox.d-at[af],center:((ap[af]-at[af])-(av[af][ae].bbox.h-av[af][ae].bbox.d))/2,baseline:0,axis:0})[aQ]||0;aQ=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(av[af][ae],aQ,T+o)}if(af<av.length-1){T-=Math.max(0,at[af]+ap[af+1]+aP[af])}}T=aj}if(aI){var G=b.createBox(ax);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aH);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ax.bbox}var aO=0,aV=aH,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ao+1);l=B/(ao+1)}for(ae=0;ae<=ao;ae++){b.placeBox(au[ae].parentNode,0,0);au[ae].style.position="relative";au[ae].style.left=b.Em(aV);au[ae].style.width="100%";au[ae].parentNode.parentNode.removeChild(au[ae].parentNode);var al=b.createBox(G);b.addBox(al,au[ae]);au[ae]=al;var h=al.style;h.display="inline-block";h.left=aO+"%";if(aL[ae].match(/%$/)){var u=parseFloat(aL[ae])*S;if(ah===0){h.width=(k+u)+"%";aO+=k+u;al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l);aV-=l}else{h.width=u+"%";aO+=u}}else{if(aL[ae]==="fit"||ah===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l-ak[ae]);aV+=ak[ae]-l;aO+=k}else{h.width=b.Em(ak[ae]);aV+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}aV+=ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createBox(G);r.style.left=aO+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ax.bbox;b.placeBox(r,aV-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}else{var U=aH;for(ae=0;ae<=ao;ae++){if(!au[ae].bbox.width){b.setStackWidth(au[ae],ak[ae])}if(aL[ae]!=="auto"&&aL[ae]!=="fit"){au[ae].bbox.width=ak[ae];au[ae].bbox.isFixed=true}b.placeBox(au[ae].parentNode,U,0);U+=ak[ae]+ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}ax.bbox.d=-aT;ax.bbox.h=g+aT;b.setStackWidth(ax,ax.bbox.w+aH);aU=ax.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ax,g,0,aU,1.25/b.em,K.frame);b.addBox(ax,ai);b.placeBox(ai,0,aT,true);if(aI){ai.style.width="100%"}}T=aj;for(af=0,ad=av.length-1;af<ad;af++){o=Math.max(0,at[af]+ap[af+1]+aP[af]);if(z[af]!=="none"){r=b.createRule(ax,1.25/b.em,0,aU);b.addBox(ax,r);r.bbox={h:1.25/b.em,d:0,w:aU,rw:aU,lw:0};b.placeBox(r,0,T-at[af]-(o-at[af]-ap[af+1])/2,true);if(z[af]==="dashed"||aI){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aI){r.style.width="100%"}}}T-=o}if(aI){t.bbox.width=K.width;ax.style.width="100%"}if(au[aA]){var aw=ax.bbox.w,q;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift=this.displayIndent}var aM=b.createStack(t,false,"100%");b.addBox(aM,ax);b.alignBox(ax,aq.indentalign,0);if(aq.indentshift&&aq.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(aq.indentshift,az);aw+=q;ax.style[aq.indentalign]=b.Em(q)}au[aA].parentNode.parentNode.removeChild(au[aA].parentNode);b.addBox(aM,au[aA]);b.alignBox(au[aA],e[aA],0);if(b.msieRelativeWidthBug){ax.style.top=au[aA].style.top=""}if(aI){ax.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,az);au[aA].style.marginRight=au[aA].style.marginLeft=b.Em(q);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*q+2*au[aA].bbox.w}else{if(aq.indentalign!==e[aA]){aw+=2*q+au[aA].bbox.w}}t.style.minWidth=t.bbox.minWidth=aM.style.minWidth=aM.bbox.minWidth=b.Em(aw)}if(!aI){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aI){if(!ai){ai=b.createFrame(ax,g,0,aU,0,"none");b.addBox(ax,ai);b.placeBox(ai,0,aT,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML-full.js");
diff --git a/config/TeX-AMS-MML_HTMLorMML.js b/config/TeX-AMS-MML_HTMLorMML.js
index c5952584e..57719e34c 100644
--- a/config/TeX-AMS-MML_HTMLorMML.js
+++ b/config/TeX-AMS-MML_HTMLorMML.js
@@ -37,22 +37,22 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML.js");
diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js
index f185818e3..737ec2926 100644
--- a/config/TeX-AMS-MML_SVG-full.js
+++ b/config/TeX-AMS-MML_SVG-full.js
@@ -35,22 +35,22 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.3",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(h,c,e,a){var g;var b="http://www.w3.org/2000/svg";var j="http://www.w3.org/1999/xlink";a.Augment({config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block",width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,Config:function(){var k=c.config.menuSettings;if(k.scale){this.config.scale=k.scale}this.SUPER(arguments).Config.apply(this,arguments);this.fontInUse=this.config.font;if(k.font&&k.font!=="Auto"){if(k.font==="TeXWeb"){this.fontInUse="TeX"}else{if(k.font==="STIXWeb"){this.fontInUse="STIX-Web"}else{if(k.font==="AsanaMathWeb"){this.fontInUse="Asana-Math"}else{if(k.font==="GyrePagellaWeb"){this.fontInUse="Gyre-Pagella"}else{if(k.font==="GyreTermesWeb"){this.fontInUse="Gyre-Termes"}else{if(k.font==="LatinModernWeb"){this.fontInUse="Latin-Modern"}else{if(k.font==="NeoEulerWeb"){this.fontInUse="Neo-Euler"}}}}}}}}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){EVENT=MathJax.Extension.MathEvents.Event;TOUCH=MathJax.Extension.MathEvents.Touch;HOVER=MathJax.Extension.MathEvents.Hover;this.ContextMenu=EVENT.ContextMenu;this.Mousedown=EVENT.AltContextMenu;this.Mouseover=HOVER.Mouseover;this.Mouseout=HOVER.Mouseout;this.Mousemove=HOVER.Mousemove;this.hiddenDiv=e.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=e.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var k=e.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=k.offsetWidth/5;this.hiddenDiv.removeChild(k);this.textSVG=this.Element("svg");d=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});f={};this.ExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_SVG_ExBox"}]]);this.linebreakSpan=e.Element("span",null,[["hr",{style:{width:"auto",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){document.body.appendChild(this.ExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.ExSpan.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.ExSpan)},preTranslate:function(o){var t=o.jax[this.id],u,r=t.length,z,s,A,n,y,l,x,q,k,w=false,v,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}s=z.previousSibling;if(s&&String(s.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Processing)?$/)){s.parentNode.removeChild(s)}l=z.MathJax.elementJax;if(!l){continue}l.SVG={display:(l.root.Get("display")==="block")};A=n=e.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:EVENT.Menu,onmousedown:EVENT.Mousedown,onmouseover:EVENT.Mouseover,onmouseout:EVENT.Mouseout,onmousemove:EVENT.Mousemove,onclick:EVENT.Click,ondblclick:EVENT.DblClick});if(c.Browser.noContextMenu){A.ontouchstart=TOUCH.start;A.ontouchend=TOUCH.end}if(l.SVG.display){n=e.Element("div",{className:"MathJax_SVG_Display"});n.appendChild(A)}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_SVG_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.ExSpan.cloneNode(true),z);n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;v=n.previousSibling.firstChild.offsetWidth;if(w){k=v}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.SVG.isHidden=true;x=this.defaultEx;v=this.defaultWidth;if(w){k=this.defaultWidth}}l.SVG.ex=x;l.SVG.cwidth=v;l.SVG.em=q=x/a.TeX.x_height*1000;l.SVG.lineWidth=(B?this.length2em(p,1,k/q):1000000)}for(u=0;u<r;u++){z=t[u];if(!z.parentNode){continue}y=t[u].previousSibling;A=y.previousSibling;l=t[u].MathJax.elementJax;if(!l){continue}if(!l.SVG.isHidden){A=A.previousSibling}A.parentNode.removeChild(A);y.parentNode.removeChild(y)}o.SVGeqn=o.SVGlast=0;o.SVGi=-1;o.SVGchunk=this.config.EqnChunk;o.SVGdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.SVGdelay){p.SVGdelay=false;c.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.SVG.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.SVG.em;this.ex=k.SVG.ex;this.linebreakWidth=k.SVG.lineWidth*1000;this.cwidth=k.SVG.cwidth;this.mathDiv=q;m.appendChild(this.textSVG);this.initSVG(o,m);o.setTeXclass();try{o.toSVG(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}m.removeChild(this.textSVG);if(k.SVG.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_SVG_Processed";if(l.MathJax.preview){k.SVG.preview=l.MathJax.preview;delete l.MathJax.preview}p.SVGeqn+=(p.i-p.SVGi);p.SVGi=p.i;if(p.SVGeqn>=p.SVGlast+p.SVGchunk){this.postTranslate(p,true);p.SVGchunk=Math.floor(p.SVGchunk*this.config.EqnChunkFactor);p.SVGdelay=true}}},postTranslate:function(r,o){var l=r.jax[this.id];if(!this.hideProcessedMath){return}for(var p=r.SVGlast,k=r.SVGeqn;p<k;p++){var n=l[p];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var q=n.MathJax.elementJax.SVG;if(q.preview){q.preview.innerHTML="";n.MathJax.preview=q.preview;delete q.preview}}}r.SVGlast=r.SVGeqn},hashCheck:function(k){if(k&&k.nodeName==="g"){do{k=k.parentNode}while(k&&k.firstChild.nodeName!=="svg")}return k},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_SVG_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return c.getJaxFor(k)},getHoverSpan:function(k,l){l.style.position="relative";return l.firstChild},getHoverBBox:function(k,l,m){var n=EVENT.getBBox(l.parentNode);n.h+=2;n.d-=2;return n},Zoom:function(l,s,q,k,p){s.className="MathJax_SVG";var u=s.appendChild(this.ExSpan.cloneNode(true));var o=u.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o/a.TeX.x_height*1000;this.cwidth=0.85*a.defaultWidth;u.parentNode.removeChild(u);s.appendChild(this.textSVG);this.mathDIV=s;this.idPostfix="-zoom";l.root.toSVG(s,s);this.idPostfix="";s.removeChild(this.textSVG);if(this.operaZoomRefresh){setTimeout(function(){s.firstChild.style.border="1px solid transparent"},1)}s.style.position=q.style.position="absolute";var r=s.offsetWidth,n=s.offsetHeight,t=q.offsetHeight,m=q.offsetWidth;s.style.position=q.style.position="";return{Y:-EVENT.getBBox(s).h,mW:m,mH:t,zW:r,zH:n}},initSVG:function(l,k){},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.SVG.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.SVG},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(k){k=Math.round(k/this.TeX.x_height*this.ex)/this.ex;if(Math.abs(k)<0.0006){return"0ex"}return k.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(q,l,o){if(typeof(q)!=="string"){q=q.toString()}if(q===""){return""}if(q===g.SIZE.NORMAL){return 1000}if(q===g.SIZE.BIG){return 2000}if(q===g.SIZE.SMALL){return 710}if(q==="infinity"){return a.BIGDIMEN}if(q.match(/mathspace$/)){return 1000*a.MATHSPACE[q]}var n=q.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1")*1000,p=n[2];if(o==null){o=1000}if(l==null){l=1}if(p==="em"){return k}if(p==="ex"){return k*a.TeX.x_height/1000}if(p==="%"){return k/100*o/1000}if(p==="px"){return k/a.em}if(p==="pt"){return k/10}if(p==="pc"){return k*1.2}if(p==="in"){return k*this.pxPerInch/a.em}if(p==="cm"){return k*this.pxPerInch/a.em/2.54}if(p==="mm"){return k*this.pxPerInch/a.em/25.4}if(p==="mu"){return k/18*l}return k*o/1000},thickness2em:function(l,k){var m=a.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(o){var m={top:0,right:0,bottom:0,left:0},l=false;for(var p in m){if(m.hasOwnProperty(p)){var k="border"+p.charAt(0).toUpperCase()+p.substr(1);var n=o.style[k+"Style"];if(n){l=true;m[p]=this.length2em(o.style[k+"Width"]);m[p+"Style"]=o.style[k+"Style"];m[p+"Color"]=o.style[k+"Color"];if(m[p+"Color"]==="initial"){m[p+"Color"]=""}}}}return(l?m:false)},Element:function(k,l){var m=(typeof(k)==="string"?document.createElementNS(b,k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m},addElement:function(l,k,m){return l.appendChild(this.Element(k,m))},TextNode:e.TextNode,addText:e.addText,ucMatch:e.ucMatch,HandleVariant:function(s,r,C){var v=i.G();var o,x,z,p,A,t,q,l,y,k;if(!s){s=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}if(s.forceFamily){C=i.TEXT(r,C,s.font);if(s.h!=null){C.h=s.h}if(s.d!=null){C.d=s.d}v.Add(C);C=""}A=s;for(t=0,q=C.length;t<q;t++){s=A;o=C.charCodeAt(t);z=C.charAt(t);if(o>=55296&&o<56319){t++;o=(((o-55296)<<10)+(C.charCodeAt(t)-56320))+65536;if(this.FONTDATA.RemapPlane1){var w=this.FONTDATA.RemapPlane1(o,s);o=w.n;s=w.variant}}else{k=this.FONTDATA.RANGES;for(l=0,y=k.length;l<y;l++){if(k[l].name==="alpha"&&s.noLowerCase){continue}x=s["offset"+k[l].offset];if(x&&o>=k[l].low&&o<=k[l].high){if(k[l].remap&&k[l].remap[o]){o=x+k[l].remap[o]}else{o=o-k[l].low+x;if(k[l].add){o+=k[l].add}}if(s["variant"+k[l].offset]){s=this.FONTDATA.VARIANT[s["variant"+k[l].offset]]}break}}}if(s.remap&&s.remap[o]){if(s.remap[o] instanceof Array){var B=s.remap[o];o=B[0];s=this.FONTDATA.VARIANT[B[1]]}else{if(typeof(s.remap[o])==="string"){C=s.remap[o]+C.substr(t+1);t=0;q=C.length;o=C.charCodeAt(0)}else{o=s.remap[o];if(s.remap.variant){s=this.FONTDATA.VARIANT[s.remap.variant]}}}}if(this.FONTDATA.REMAP[o]&&!s.noRemap){o=this.FONTDATA.REMAP[o];if(o instanceof Array){s=this.FONTDATA.VARIANT[o[1]];o=o[0]}if(typeof(o)==="string"){C=o+C.substr(t+1);t=0;q=C.length;o=o.charCodeAt(0)}}p=this.lookupChar(s,o);z=p[o];if(z){if(z[5]&&z[5].space){v.w+=z[2]}else{z=[r,p.id+"-"+o.toString(16).toUpperCase()].concat(z);v.Add(i.GLYPH.apply(i,z),v.w,0)}}else{if(this.FONTDATA.DELIMITERS[o]){z=this.createDelimiter(o,0,1,p);v.Add(z,v.w,(this.FONTDATA.DELIMITERS[o].dir==="V"?z.d:0))}else{if(o<=65535){z=String.fromCharCode(o)}else{x=o-65536;z=String.fromCharCode((x>>10)+55296)+String.fromCharCode((x&1023)+56320)}var u=i.TEXT(r,z,{"font-family":s.defaultFamily||a.config.undefinedFamily,"font-style":(s.italic?"italic":""),"font-weight":(s.bold?"bold":"")});if(s.h!=null){u.h=s.h}if(s.d!=null){u.d=s.d}z=i.G();z.Add(u);v.Add(z,v.w,0);c.signal.Post(["SVG Jax - unknown char",o,s])}}}if(C.length==1&&p.skew&&p.skew[o]){v.skew=p.skew[o]*1000}if(v.element.childNodes.length===1){v.element=v.element.firstChild;v.removeable=false;v.scale=r}return v},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]])}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){return l}else{this.findBlock(l,s)}}return{id:"unknown"}},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(k){c.RestartAfter(h.Require(this.fontDir+"/"+k))},createDelimiter:function(k,n,q,o){if(!q){q=1}var s=i.G();if(!k){s.Clean();delete s.element;s.w=s.r=this.TeX.nulldelimiterspace*q;return s}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){c.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var r=0,p=l.HW.length;r<p;r++){if(l.HW[r][0]*q>=n-10-a.config.blacker||(r==p-1&&!l.stretch)){if(l.HW[r][2]){q*=l.HW[r][2]}if(l.HW[r][3]){k=l.HW[r][3]}return this.createChar(q,[k,l.HW[r][1]],o).With({stretched:true})}}if(l.stretch){this["extendDelimiter"+l.dir](s,t,l.stretch,q,o)}return s},createChar:function(s,q,n){var r="",p={fonts:[q[1]],noRemap:true};if(n&&n===g.VARIANT.BOLD){p.fonts=[q[1]+"-bold",q[1]]}if(typeof(q[1])!=="string"){p=q[1]}if(q[0] instanceof Array){for(var o=0,k=q[0].length;o<k;o++){r+=String.fromCharCode(q[0][o])}}else{r=String.fromCharCode(q[0])}if(q[4]){s=s*q[4]}var l=this.HandleVariant(p,s,r);if(q[2]){l.x=q[2]*1000}if(q[3]){l.y=q[3]*1000}if(q[5]){l.h+=q[5]*1000}if(q[6]){l.d+=q[6]*1000}return l},extendDelimiterV:function(r,A,m,o,n){var x=this.createChar(o,(m.top||m.ext),n);var u=this.createChar(o,(m.bot||m.ext),n);var q=x.h+x.d+u.h+u.d;var w=-x.h;r.Add(x,0,w);w-=x.d;if(m.mid){var z=this.createChar(o,m.mid,n);q+=z.h+z.d}if(m.min&&A<q*m.min){A=q*m.min}if(A>q){var l=this.createChar(o,m.ext,n);var p=(m.mid?2:1),v=(A-q)/p,B=(v+100)/(l.h+l.d);while(p-->0){var t=a.Element("g",{transform:"translate("+l.y+","+(w-B*l.h+50+l.y)+") scale(1,"+B+")"});t.appendChild(l.element.cloneNode(false));r.element.appendChild(t);w-=v;if(m.mid&&p){r.Add(z,0,w-z.h);w-=(z.h+z.d)}}}else{if(m.mid){w+=(q-A)/2;r.Add(z,0,w-z.h);w+=-(z.h+z.d)+(q-A)/2}else{w+=(q-A)}}r.Add(u,0,w-u.h);r.Clean();r.scale=o;r.isMultiChar=true},extendDelimiterH:function(t,o,m,q,n){var p=this.createChar(q,(m.left||m.rep),n);var C=this.createChar(q,(m.right||m.rep),n);t.Add(p,-p.l,0);var B=(p.r-p.l)+(C.r-C.l),z=p.r-p.l;if(m.mid){var A=this.createChar(q,m.mid,n);B+=A.w}if(m.min&&o<B*m.min){o=B*m.min}if(o>B){var y=this.createChar(q,m.rep,n),l=m.fuzz||0;var r=(m.mid?2:1),v=(o-B)/r,D=(v+l)/(y.r-y.l);while(r-->0){var u=a.Element("g",{transform:"translate("+(z-l/2-D*y.l+y.x)+","+y.y+") scale("+D+",1)"});u.appendChild(y.element.cloneNode(false));t.element.appendChild(u);z+=v;if(m.mid&&r){t.Add(A,z,0);z+=A.w}}}else{if(m.mid){z-=(B-o)/2;t.Add(A,z,0);z+=A.w-(B-o)/2}else{z-=(B-o)}}t.Add(C,z-C.l,0);t.Clean();t.scale=q;t.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:100,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var i=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(k){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,k)}},With:function(k){return c.Insert(this,k)},Add:function(n,m,l,p,o){if(m){n.x+=m}if(l){n.y+=l}if(n.element){if(n.removeable&&n.element.childNodes.length===1&&n.n===1){var r=n.element.firstChild;if(r.nodeName==="use"||r.nodeName==="rect"){n.element=r;n.scale=n.childScale;var k=n.childX,q=n.childY;n.x+=k;n.y+=q;n.h-=q;n.d+=q;n.H-=q;n.D+=q;n.w-=k;n.r-=k;n.l+=k;n.removeable=false}}if(Math.abs(n.x)<1&&Math.abs(n.y)<1){n.remove=n.removeable}else{if(n.element.nodeName==="g"){if(!n.element.firstChild){n.remove=n.removeable}else{n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}}else{if(n.element.nodeName==="line"||n.element.nodeName==="polygon"||n.element.nodeName==="path"||n.element.nodeName==="a"){n.element.setAttribute("transform","translate("+Math.floor(n.x)+","+Math.floor(n.y)+")")}else{n.element.setAttribute("x",Math.floor(n.x/n.scale));n.element.setAttribute("y",Math.floor(n.y/n.scale))}}}if(n.remove){this.n+=n.n;while(n.element.firstChild){if(o&&this.element.firstChild){this.element.insertBefore(n.element.firstChild,this.element.firstChild)}else{this.element.appendChild(n.element.firstChild)}}}else{if(o){this.element.insertBefore(n.element,this.element.firstChild)}else{this.element.appendChild(n.element)}}delete n.element}if(n.hasIndent){this.hasIndent=n.hasIndent}if(n.d-n.y>this.d){this.d=n.d-n.y;if(this.d>this.D){this.D=this.d}}if(n.y+n.h>this.h){this.h=n.y+n.h;if(this.h>this.H){this.H=this.h}}if(n.D-n.y>this.D){this.D=n.D-n.y}if(n.y+n.H>this.H){this.H=n.y+n.H}if(n.x+n.l<this.l){this.l=n.x+n.l}if(n.x+n.r>this.r){this.r=n.x+n.r}if(p||n.x+n.w+(n.X||0)>this.w){this.w=n.x+n.w+(n.X||0)}this.childScale=n.scale;this.childX=n.x;this.childY=n.y;this.n++;return n},Align:function(m,n,l,k){l=({left:l,center:(this.w-m.w)/2,right:this.w-m.w-l})[n]||0;this.Add(m,l,k)},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});i.ROW=i.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(l){var k=l.toSVG();this.svg.push(k);if(l.SVGcanStretch("Vertical")){k.mml=l}if(k.h>this.sh){this.sh=k.h}if(k.d>this.sd){this.sd=k.d}},Stretch:function(){for(var o=0,k=this.svg.length;o<k;o++){var l=this.svg[o],n=l.mml;if(n){l=n.SVGstretchV(this.sh,this.sd);n.SVGdata.HW=this.sh;n.SVGdata.D=this.sd}if(l.ic){this.ic=l.ic}else{delete this.ic}this.Add(l,this.w,0,true)}delete this.svg}});i.RECT=i.Subclass({type:"rect",removeable:false,Init:function(l,n,k,m){if(m==null){m={stroke:"none"}}m.width=Math.floor(k);m.height=Math.floor(l+n);this.SUPER(arguments).Init.call(this,m);this.w=this.r=k;this.h=this.H=l+n;this.d=this.D=this.l=0;this.y=-n}});i.FRAME=i.Subclass({type:"rect",removeable:false,Init:function(n,q,k,m,p,l,o){if(o==null){o={}}o.fill="none";o["stroke-width"]=m.toFixed(2).replace(/\.?0+$/,"");o.width=Math.floor(k-m);o.height=Math.floor(n+q-m);o.transform="translate("+Math.floor(m/2)+","+Math.floor(-q+m/2)+")";if(p==="dashed"){o["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,o);this.w=this.r=k;this.h=this.H=n;this.d=this.D=q;this.l=0}});i.HLINE=i.Subclass({type:"line",removeable:false,Init:function(l,p,r,o,q){if(q==null){q={}}if(o&&o!==""){q.stroke=o}q["stroke-width"]=p.toFixed(2).replace(/\.?0+$/,"");q.x1=0;q.y1=q.y2=p/2;q.x2=Math.floor(l);if(r==="dashed"){var s=Math.floor(l/(6*p)),k=Math.floor(l/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=l;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.VLINE=i.Subclass({type:"line",removeable:false,Init:function(p,o,r,l,q){if(q==null){q={}}if(l&&l!==""){q.stroke=l}q["stroke-width"]=o.toFixed(2).replace(/\.?0+$/,"");q.x1=q.x2=o/2;q.y1=0;q.y2=Math.floor(p);if(r==="dashed"){var s=Math.floor(p/(6*o)),k=Math.floor(p/(2*s+1));q["stroke-dasharray"]=k+" "+k}this.SUPER(arguments).Init.call(this,q);this.w=this.r=o;this.l=0;this.h=this.H=p;this.d=this.D=0}});i.TEXT=i.Subclass({type:"text",removeable:false,Init:function(n,m,k){if(!k){k={}}k.stroke="none";this.SUPER(arguments).Init.call(this,k);a.addText(this.element,m);a.textSVG.appendChild(this.element);var l=this.element.getBBox();a.textSVG.removeChild(this.element);n*=1000/a.em;this.element.setAttribute("transform","scale("+n+") matrix(1 0 0 -1 0 0)");this.w=this.r=l.width*n;this.l=0;this.h=this.H=-l.y*n;this.d=this.D=(l.height+l.y)*n}});i.G=i;i.NULL=i.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});var f,d;i.GLYPH=i.Subclass({type:"path",removeable:false,Init:function(q,m,u,v,x,s,k,n){var o,y=a.config.blacker;if(!f[m]){o={id:m,"stroke-width":y};if(n!==""){o.d="M"+n+"Z"}this.SUPER(arguments).Init.call(this,o);d.appendChild(this.element);f[m]=true}o={};if(q!==1){o.transform="scale("+q+")"}this.element=a.Element("use",o);this.element.setAttributeNS(j,"href","#"+m);this.h=(u+y)*q;this.d=(v+y)*q;this.w=(x+y/2)*q;this.l=(s+y/2)*q;this.r=(k+y/2)*q;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=q}});c.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({SVG:i,toSVG:function(){this.SVGgetStyles();var o=this.SVGgetVariant();var l=this.SVG();l.scale=this.SVGgetScale();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){var q=l.Add(this.data[n].toSVG(o,l.scale),l.w,0,true);if(q.skew){l.skew=q.skew}}}l.Clean();var p=this.data.join("");if(l.skew&&p.length!==1){delete l.skew}if(l.r>l.w&&p.length===1&&!o.noIC){l.ic=l.r-l.w;l.w=l.r}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGchildSVG:function(k){return(this.data[k]?this.data[k].toSVG():i())},SVGdataStretched:function(l,k,m){this.SVGdata={HW:k,D:m};if(!this.data[l]){return i()}if(m!=null){return this.data[l].SVGstretchV(k,m)}if(k!=null){return this.data[l].SVGstretchH(k)}return this.data[l].toSVG()},SVGsaveData:function(l){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=l.w,this.SVGdata.x=l.x;this.SVGdata.h=l.h,this.SVGdata.d=l.d;if(l.X!=null){this.SVGdata.X=l.X}if(this["class"]){l.removeable=false;a.Element(l.element,{"class":this["class"]})}if(this.id){l.removeable=false;a.Element(l.element,{id:this.id})}if(this.href){var k=a.Element("a",{"class":"mjx-svg-href"});k.setAttributeNS(j,"href",this.href);k.onclick=this.SVGlink;a.addElement(k,"rect",{width:l.w,height:l.h+l.d,y:-l.d,fill:"none",stroke:"none","pointer-events":"all"});if(l.type==="svg"){var n=l.element.firstChild;while(n.firstChild){k.appendChild(n.firstChild)}n.appendChild(k)}else{k.appendChild(l.element);l.element=k}l.removeable=false}if(a.config.addMMLclasses){this.SVGaddClass(l.element,"mjx-svg-"+this.type);l.removeable=false}var m=this.style;if(m&&l.element){l.element.style.cssText=m;if(l.element.style.fontSize){l.element.style.fontSize=""}l.element.style.border=l.element.style.padding="";if(l.removeable){l.removeable=l.element.style.cssText===""}}},SVGaddClass:function(m,k){var l=m.getAttribute("class");m.setAttribute("class",(l?l+" ":"")+k)},SVGlink:function(){var k=this.href.animVal;if(k.charAt(0)==="#"){var l=a.hashCheck(document.getElementById(k.substr(1)));if(l&&l.scrollIntoView){setTimeout(function(){l.parentNode.scrollIntoView(true)},1)}}document.location=k},SVGgetStyles:function(){if(this.style){var k=e.Element("span");k.style.cssText=this.style;this.styles={border:a.getBorders(k),padding:a.getPadding(k)};if(k.style.fontSize){this.styles.fontSize=k.style.fontSize}if(k.style.color){this.styles.color=k.style.color}if(k.style.backgroundColor){this.styles.background=k.style.backgroundColor}if(k.style.fontStyle){this.styles.fontStyle=k.style.fontStyle}if(k.style.fontWeight){this.styles.fontWeight=k.style.fontWeight}if(k.style.fontFamily){this.styles.fontFamily=k.style.fontFamily}if(this.styles.fontWeight&&this.styles.fontWeight.match(/^\d+$/)){this.styles.fontWeight=(parseInt(this.styles.fontWeight)>600?"bold":"normal")}}},SVGhandleSpace:function(n){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.SVGgetMu(n);m.lspace=Math.max(0,a.length2em(m.lspace,l));m.rspace=Math.max(0,a.length2em(m.rspace,l));var k=this,o=this.Parent();while(o&&o.isEmbellished()&&o.Core()===k){k=o;o=o.Parent()}if(m.lspace){n.x+=m.lspace}if(m.rspace){n.X=m.rspace}}}else{var p=this.texSpacing();if(p!==""){n.x+=a.length2em(p,this.SVGgetScale())/n.scale}}},SVGhandleColor:function(o){var w=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!w.color){w.color=this.styles.color}if(w.color&&!this.mathcolor){w.mathcolor=w.color}if(w.mathcolor){a.Element(o.element,{fill:w.mathcolor,stroke:w.mathcolor});o.removeable=false}var s=(this.styles||{}).border,u=(this.styles||{}).padding,t=((s||{}).left||0),q=((u||{}).left||0),k;w.background=(this.mathbackground||this.background||(this.styles||{}).background||g.COLOR.TRANSPARENT);if(t+q){var l=i();for(k in o){if(o.hasOwnProperty(k)){l[k]=o[k]}}l.x=0;l.y=0;o.element=a.Element("g");o.removeable=true;o.Add(l,t+q,0)}if(u){o.w+=u.right;o.h+=u.top;o.d+=u.bottom}if(s){o.w+=s.right;o.h+=s.top;o.d+=s.bottom}if(w.background!==g.COLOR.TRANSPARENT){if(o.element.nodeName!=="g"&&o.element.nodeName!=="svg"){var p=a.Element("g");p.appendChild(o.element);o.element=p;o.removeable=true}o.Add(i.RECT(o.h,o.d,o.w,{fill:w.background,stroke:"none"}),0,0,false,true)}if(s){var v=5;var m={left:["V",o.h+o.d,-v,-o.d],right:["V",o.h+o.d,o.w-s.right+v,-o.d],top:["H",o.w,0,o.h-s.top+v],bottom:["H",o.w,0,-o.d-v]};for(k in m){if(m.hasOwnProperty(k)){if(s[k]){var r=m[k],n=i[r[0]+"LINE"];o.Add(n(r[1],s[k],s[k+"Style"],s[k+"Color"]),r[2],r[3])}}}}},SVGhandleVariant:function(k,m,l){return a.HandleVariant(k,m,l)},SVGgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var l=k.mathvariant;if(this.variantForm){l="-TeX-variant"}k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.styles){if(!k.style&&this.styles.fontStyle){k.style=this.styles.fontStyle}if(!k.weight&&this.styles.fontWeight){k.weight=this.styles.fontWeight}if(!k.family&&this.styles.fontFamily){k.family=this.styles.fontFamily}}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}l={forceFamily:true,font:{"font-family":k.family}};if(k.style){l.font["font-style"]=k.style}if(k.weight){l.font["font-weight"]=k.weight}return l}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}if(!(l in a.FONTDATA.VARIANT)){l="normal"}return a.FONTDATA.VARIANT[l]},SVGgetScale:function(){var l=1,k=this.getValues("mathsize","scriptlevel","fontsize");if((this.styles||{}).fontSize&&!k.fontsize){k.fontsize=this.styles.fontSize}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}l=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(l<k.scriptminsize){l=k.scriptminsize}}if(this.isToken){l*=a.length2em(k.mathsize)/1000}return l},SVGgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},SVGnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},SVGcanStretch:function(k){if(this.isEmbellished()){return this.Core().SVGcanStretch(k)}return false},SVGstretchV:function(k,l){return this.toSVG(k,l)},SVGstretchH:function(k){return this.toSVG(k)},SVGlineBreaks:function(){return false}},{SVGautoload:function(){var k=a.autoloadDir+"/"+this.type+".js";c.RestartAfter(h.Require(k))},SVGautoloadFile:function(k){var l=a.autoloadDir+"/"+k+".js";c.RestartAfter(h.Require(l))}});g.chars.Augment({toSVG:function(l,o,k,m){var n=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.entity.Augment({toSVG:function(l,o,k,m){var n=this.toString().replace(/[\u2061-\u2064]/g,"");if(k){n=k(n,m)}return this.SVGhandleVariant(l,o,n)}});g.mo.Augment({toSVG:function(l,k){this.SVGgetStyles();var t=this.svg=this.SVG();this.SVGhandleSpace(t);if(this.data.length==0){t.Clean();this.SVGsaveData(t);return t}if(k!=null){return this.SVGstretchV(l,k)}else{if(l!=null){return this.SVG.strechH(l)}}var p=this.SVGgetScale(),r=this.SVGgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){r=a.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),q=(y&&y.isa(g.msubsup)&&this!==y.data[0]),n=(q?this.SVGremapChars:null);if(this.data.join("").length===1&&y&&y.isa(g.munderover)&&this.CoreText(y.data[y.base]).length===1){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){n=a.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){n=a.FONTDATA.REMAPACCENTUNDER}}}if(q&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){r=a.FONTDATA.VARIANT["-TeX-variant"]}for(var s=0,o=this.data.length;s<o;s++){if(this.data[s]){var A=this.data[s].toSVG(r,p,this.SVGremap,n),v=t.w;if(v===0&&-A.l>10*A.w){v+=-A.l}t.Add(A,v,0,true);if(A.skew){t.skew=A.skew}}}t.Clean();if(this.data.join("").length!==1){delete t.skew}if(z.largeop){t.y=a.TeX.axis_height-(t.h-t.d)/2/p;if(t.r>t.w){t.ic=t.r-t.w;t.w=t.r}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while((k.isa(g.mrow)||k.isa(g.TeXAtom)||k.isa(g.mstyle)||k.isa(g.mphantom))&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},SVGremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},SVGremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},SVGcanStretch:function(o){if(!this.Get("stretchy")){return false}var p=this.data.join("");if(p.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var n=l.data[l.over],k=l.data[l.under];if(n&&this===n.CoreMO()&&l.Get("accent")){p=a.FONTDATA.REMAPACCENT[p]||p}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER[p]||p}}}p=a.FONTDATA.DELIMITERS[p.charCodeAt(0)];var m=(p&&p.dir==o.substr(0,1));if(!m){delete this.svg}return m},SVGstretchV:function(p,q){var m=this.svg||this.toSVG();var l=this.getValues("symmetric","maxsize","minsize");var o=a.TeX.axis_height,k=this.SVGgetMu(m),n;if(l.symmetric){n=2*Math.max(p-o,q+o)}else{n=p+q}l.maxsize=a.length2em(l.maxsize,k,m.h+m.d);l.minsize=a.length2em(l.minsize,k,m.h+m.d);n=Math.max(l.minsize,Math.min(l.maxsize,n));m=a.createDelimiter(this.data.join("").charCodeAt(0),n,m.scale);if(l.symmetric){n=(m.h+m.d)/2+o}else{n=(m.h+m.d)*p/(p+q)}m.y=n-m.h;this.SVGhandleSpace(m);this.SVGhandleColor(m);delete this.svg.element;this.SVGsaveData(m);return m},SVGstretchH:function(l){var n=this.svg||this.toSVG(),k=this.SVGgetMu(n);var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}m.maxsize=a.length2em(m.maxsize,k,n.w);m.minsize=a.length2em(m.minsize,k,n.w);l=Math.max(m.minsize,Math.min(m.maxsize,l));n=a.createDelimiter(this.data.join("").charCodeAt(0),l,n.scale,m.mathvariant);this.SVGhandleSpace(n);this.SVGhandleColor(n);delete this.svg.element;this.SVGsaveData(n);return n}});g.mtext.Augment({toSVG:function(){this.SVGgetStyles();var k,o,n=this.SVGgetScale();if(this.Parent().type==="merror"){k=this.SVG();this.SVGhandleSpace(k);o=i.G();o.Add(i.TEXT(0.9*n,this.data.join(""),{fill:"#C00",direction:this.Get("dir")}));k.Add(i.RECT(o.h+100,o.d+100,o.w+200,{fill:"#FF8",stroke:"#C00","stroke-width":50}),0,0);k.Add(o,150,0);k.H+=150;k.D+=50;k.Clean();this.SVGsaveData(k);return k}else{if(a.config.mtextFontInherit){k=this.SVG();this.SVGhandleSpace(k);var l=this.SVGgetVariant(),m={direction:this.Get("dir")};if(l.bold){m["font-weight"]="bold"}if(l.italic){m["font-style"]="italic"}k.Add(i.TEXT(n,this.data.join(""),m));k.Clean();this.SVGhandleColor(k);this.SVGsaveData(k);return k}else{return this.SUPER(arguments).toSVG.call(this)}}}});g.ms.Augment({toSVG:g.mbase.SVGautoload});g.mglyph.Augment({toSVG:g.mbase.SVGautoload});g.mspace.Augment({toSVG:function(){this.SVGgetStyles();var m=this.getValues("height","depth","width");m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var l=this.SVG(),k=this.SVGgetMu(l);l.h=a.length2em(m.height,k)/l.scale;l.d=a.length2em(m.depth,k)/l.scale;l.w=l.r=a.length2em(m.width,k)/l.scale;if(l.w<0){l.x=l.w;l.w=l.r=0}if(l.h<-l.d){l.d=-l.h}l.l=0;l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.mphantom.Augment({toSVG:function(k,m){this.SVGgetStyles();var l=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(l);l.Add(this.SVGdataStretched(0,k,m));l.Clean();while(l.element.firstChild){l.element.removeChild(l.element.firstChild)}}this.SVGhandleColor(l);this.SVGsaveData(l);if(l.removeable&&!l.element.firstChild){delete l.element}return l}});g.mpadded.Augment({toSVG:function(l,k){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var m=this.SVGdataStretched(0,l,k),u=this.SVGgetMu(o);var t=this.getValues("height","depth","width","lspace","voffset"),r=0,q=0;if(t.lspace){r=this.SVGlength2em(m,t.lspace,u)}if(t.voffset){q=this.SVGlength2em(m,t.voffset,u)}var n=m.h,p=m.d,s=m.w;o.Add(m,r,q);o.Clean();o.h=n;o.d=p;o.w=s;o.removeable=false;if(t.height!==""){o.h=this.SVGlength2em(o,t.height,u,"h",0)}if(t.depth!==""){o.d=this.SVGlength2em(o,t.depth,u,"d",0)}if(t.width!==""){o.w=this.SVGlength2em(o,t.width,u,"w",0)}if(o.h>o.H){o.H=o.h}if(o.d>o.D){o.D=o.d}}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlength2em:function(o,r,l,s,k){if(k==null){k=-a.BIGDIMEN}var p=String(r).match(/width|height|depth/);var q=(p?o[p[0].charAt(0)]:(s?o[s]:0));var n=a.length2em(r,l,q);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,o[s]+n)}else{return n}}});g.mrow.Augment({SVG:i.ROW,toSVG:function(){this.SVGgetStyles();var l=this.SVG();this.SVGhandleSpace(l);for(var n=0,k=this.data.length;n<k;n++){if(this.data[n]){l.Check(this.data[n])}}l.Stretch();l.Clean();if(this.SVGlineBreaks(l)){l=this.SVGmultiline(l)}this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&k.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(k){g.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(k){var l=this.data[this.core].SVGstretchH(k);this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGstretchV:function(l,m){var k=this.data[this.core].SVGstretchV(l,m);this.SVGhandleColor(k);this.SVGsaveData(k);return k}});g.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(k);var l=k.Add(this.data[0].toSVG());k.Clean();if(l.ic){k.ic=l.ic}this.SVGhandleColor(k)}this.SVGsaveData(k);return k},SVGstretchH:function(k){return(this.data[0]!=null?this.data[0].SVGstretchH(k):i.NULL())},SVGstretchV:function(k,l){return(this.data[0]!=null?this.data[0].SVGstretchV(k,l):i.NULL())}});g.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var w=this.SVG();this.SVGhandleSpace(w);var s=this.SVGchildSVG(0),y=this.SVGchildSVG(1);var C=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var r=w.scale=this.SVGgetScale(),n=C.displaystyle;var x=a.TeX.axis_height*r;if(C.bevelled){var B=(n?400:150);var A=Math.max(s.h+s.d,y.h+y.d)+2*B;var F=a.createDelimiter(47,A);w.Add(s,0,(s.d-s.h)/2+x+B);w.Add(F,s.w-B/2,(F.d-F.h)/2+x);w.Add(y,s.w+F.w-B,(y.d-y.h)/2+x-B)}else{var o=Math.max(s.w,y.w);var E=a.thickness2em(C.linethickness,r),m,l,D,z;var k=a.TeX.min_rule_thickness/a.em*1000;if(n){D=a.TeX.num1;z=a.TeX.denom1}else{D=(E===0?a.TeX.num3:a.TeX.num2);z=a.TeX.denom2}D*=r;z*=r;if(E===0){m=Math.max((n?7:3)*a.TeX.rule_thickness,2*k);l=(D-s.d)-(y.h-z);if(l<m){D+=(m-l)/2;z+=(m-l)/2}w.w=o;E=0}else{m=Math.max((n?2:0)*k+E,E/2+1.5*k);l=(D-s.d)-(x+E/2);if(l<m){D+=m-l}l=(x-E/2)-(y.h-z);if(l<m){z+=m-l}w.Add(i.RECT(E/2,E/2,o+2*E),0,x)}w.Align(s,C.numalign,E,D);w.Align(y,C.denomalign,E,-z)}w.Clean();this.SVGhandleColor(w);this.SVGsaveData(w);return w},SVGcanStretch:function(k){return false},SVGhandleSpace:function(k){if(!this.texWithDelims){k.x=(this.useMMLspacing?0:a.length2em(this.texSpacing()||0))+120;k.X=120}}});g.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var r=this.SVG();this.SVGhandleSpace(r);var m=this.SVGchildSVG(0),s,o;var n=this.SVGgetScale();var w=a.TeX.rule_thickness*n,l,k,v,u=0;if(this.Get("displaystyle")){l=a.TeX.x_height*n}else{l=w}k=Math.max(w+l/4,1000*a.TeX.min_root_space/a.em);v=m.h+m.d+k+w;o=a.createDelimiter(8730,v,n);if(o.h+o.d>v){k=((o.h+o.d)-(v-w))/2}s=i.RECT(w,0,m.w);v=m.h+k+w;u=this.SVGaddRoot(r,o,u,o.h+o.d-v,n);r.Add(o,u,v-o.h);r.Add(s,u+o.w,v-s.h);r.Add(m,u+o.w,0);r.Clean();r.h+=w;r.H+=w;this.SVGhandleColor(r);this.SVGsaveData(r);return r},SVGaddRoot:function(l,m,k,o,n){return k}});g.mroot.Augment({toSVG:g.msqrt.prototype.toSVG,SVGaddRoot:function(n,l,q,o,k){var s=(l.isMultiChar?0.55:0.65)*l.w;if(this.data[1]){var p=this.data[1].toSVG();p.x=0;var m=this.SVGrootHeight(l.h+l.d,k,p)-o;var r=Math.min(p.w,p.r);q=Math.max(r,s);n.Add(p,q-r,m)}else{s=q}return q-s},SVGrootHeight:function(m,l,k){return 0.45*(m-900*l)+600*l+Math.max(0,k.d-75)}});g.mfenced.Augment({SVG:i.ROW,toSVG:function(){this.SVGgetStyles();var l=this.SVG();this.SVGhandleSpace(l);if(this.data.open){l.Check(this.data.open)}if(this.data[0]!=null){l.Check(this.data[0])}for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){if(this.data["sep"+n]){l.Check(this.data["sep"+n])}l.Check(this.data[n])}}if(this.data.close){l.Check(this.data.close)}l.Stretch();l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l}});g.menclose.Augment({toSVG:g.mbase.SVGautoload});g.maction.Augment({toSVG:g.mbase.SVGautoload});g.semantics.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(k);k.Add(this.data[0].toSVG());k.Clean()}else{k.Clean()}this.SVGsaveData(k);return k},SVGstretchH:function(k){return(this.data[0]!=null?this.data[0].SVGstretchH(k):i.NULL())},SVGstretchV:function(k,l){return(this.data[0]!=null?this.data[0].SVGstretchV(k,l):i.NULL())}});g.munderover.Augment({toSVG:function(F,C){this.SVGgetStyles();var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toSVG.call(this)}var E=this.SVG();this.SVGhandleSpace(E);var M=E.scale=this.SVGgetScale();var p=[],K=[],u,J,G,n=-a.BIGDIMEN,I=n;for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){if(J==this.base){p[J]=this.SVGdataStretched(J,F,C);K[J]=(C!=null||F==null)&&this.data[J].SVGcanStretch("Horizontal")}else{p[J]=this.data[J].toSVG();K[J]=this.data[J].SVGcanStretch("Horizontal")}if(p[J].w>I){I=p[J].w}if(!K[J]&&I>n){n=I}}}if(C==null&&F!=null){n=F}else{if(n==-a.BIGDIMEN){n=I}}for(J=I=0,G=this.data.length;J<G;J++){if(this.data[J]){if(K[J]){p[J]=this.data[J].SVGstretchH(n)}if(p[J].w>I){I=p[J].w}}}var B=a.TeX.rule_thickness;var o=p[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:M};var s,q,w,v,r,A,H,L=0;if(o.ic){L=1.3*o.ic+0.05}for(J=0,G=this.data.length;J<G;J++){if(this.data[J]!=null){u=p[J];r=a.TeX.big_op_spacing5*M;var z=(J!=this.base&&l[this.ACCENTS[J]]);if(z&&u.w<=1){u.x=-u.l;p[J]=i.G().With({removeable:false});p[J].Add(u);p[J].Clean();p[J].w=-u.l;u=p[J]}A={left:0,center:(I-u.w)/2,right:I-u.w}[l.align];s=A;q=0;if(J==this.over){if(z){H=B*M;r=0;if(o.skew){s+=o.skew}}else{w=a.TeX.big_op_spacing1*M;v=a.TeX.big_op_spacing3*M;H=Math.max(w,v-Math.max(0,u.d))}H=Math.max(H,1500/a.em);s+=L/2;q=o.y+o.h+u.d+H;u.h+=r;if(u.h>u.H){u.H=u.h}}else{if(J==this.under){if(z){H=3*B*M;r=0}else{w=a.TeX.big_op_spacing2*M;v=a.TeX.big_op_spacing4*M;H=Math.max(w,v-u.h)}H=Math.max(H,1500/a.em);s-=L/2;q=o.y-(o.d+u.h+H);u.d+=r;if(u.d>u.D){u.D=u.d}}}E.Add(u,s,q)}}E.Clean();this.SVGhandleColor(E);this.SVGsaveData(E);return E}});g.msubsup.Augment({toSVG:function(G,z){this.SVGgetStyles();var B=this.SVG();this.SVGhandleSpace(B);var K=B.scale=this.SVGgetScale(),E=this.SVGgetMu(B);var m=B.Add(this.SVGdataStretched(this.base,G,z));var l=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var I=a.TeX.x_height*K,y=a.TeX.scriptspace*K;var k,n;if(this.SVGnotEmpty(this.data[this.sup])){k=this.data[this.sup].toSVG();k.w+=y;k.r=Math.max(k.w,k.r)}if(this.SVGnotEmpty(this.data[this.sub])){n=this.data[this.sub].toSVG();n.w+=y;n.r=Math.max(n.w,n.r)}var C=a.TeX.sup_drop*l,A=a.TeX.sub_drop*l;var w=m.h+(m.y||0)-C,o=m.d-(m.y||0)+A,J=0,F;if(m.ic){m.w-=m.ic;J=1.3*m.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&m.scale===1&&!m.stretched&&!this.data[this.base].Get("largeop")){w=o=0}}var H=this.getValues("subscriptshift","superscriptshift");H.subscriptshift=(H.subscriptshift===""?0:a.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:a.length2em(H.superscriptshift,E));if(!k){if(n){o=Math.max(o,a.TeX.sub1*K,n.h-(4/5)*I,H.subscriptshift);B.Add(n,m.w,-o);this.data[this.sub].SVGdata.dy=-o}}else{if(!n){values=this.getValues("displaystyle","texprimestyle");F=a.TeX[(values.displaystyle?"sup1":(values.texprimestyle?"sup3":"sup2"))];w=Math.max(w,F*K,k.d+(1/4)*I,H.superscriptshift);B.Add(k,m.w+J,w);this.data[this.sup].SVGdata.dx=J;this.data[this.sup].SVGdata.dy=w}else{o=Math.max(o,a.TeX.sub2*K);var x=a.TeX.rule_thickness*K;if((w-k.d)-(n.h-o)<3*x){o=3*x-w+k.d+n.h;C=(4/5)*I-(w-k.d);if(C>0){w+=C;o-=C}}B.Add(k,m.w+J,Math.max(w,H.superscriptshift));B.Add(n,m.w,-Math.max(o,H.subscriptshift));this.data[this.sup].SVGdata.dx=J;this.data[this.sup].SVGdata.dy=Math.max(w,H.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(o,H.subscriptshift)}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B}});g.mmultiscripts.Augment({toSVG:g.mbase.SVGautoload});g.mtable.Augment({toSVG:g.mbase.SVGautoload});g["annotation-xml"].Augment({toSVG:g.mbase.SVGautoload});g.math.Augment({SVG:i.Subclass({type:"svg",removeable:false}),toSVG:function(t,m){if(this.data[0]){this.SVGgetStyles();g.mbase.prototype.displayAlign=c.config.displayAlign;g.mbase.prototype.displayIndent=c.config.displayIndent;var q=i.G({stroke:"black",fill:"black","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"}).With({removeable:false});q.Add(this.data[0].toSVG(),0,0,true);q.Clean();this.SVGhandleColor(q);var s=this.SVG();s.element.setAttribute("xmlns:xlink",j);s.Add(q);s.Clean();this.SVGsaveData(s);var p=Math.max(-s.l,0),k=Math.max(s.r-s.w,0);var n=s.element.style;n.width=a.Ex(p+s.w+k);n.height=a.Ex(s.H+s.D+2*a.em);n.verticalAlign=a.Ex(-s.D-3*a.em);n.marginLeft=a.Ex(-p);n.marginRight=a.Ex(-k);s.element.setAttribute("viewBox",(-p)+" "+(-s.H-a.em)+" "+(p+s.w+k)+" "+(s.H+s.D+2*a.em));s.element.style.margin="1px 0px";if(s.H>s.h||s.D>s.d){var o=e.Element("span",{style:{display:"inline-block","white-space":"nowrap",padding:"1px 0px"},isMathJax:true},[["span",{style:{display:"inline-block",position:"relative",isMathJax:true,width:a.Ex(s.w),height:a.Ex(s.h+s.d),"vertical-align":a.Ex(-s.d)}}]]);o.firstChild.appendChild(s.element);s.element=o;n.verticalAlign=n.margin="";n.position="absolute";n.bottom=a.Ex(s.d-s.D);n.left=0}t.appendChild(s.element);s.element=null;if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===g.INDENTALIGN.AUTO){u.indentalign=this.displayAlign}m.style.textAlign=u.indentalign;if(u.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift=this.displayIndent}if(u.indentshift&&u.indentalign!==g.INDENTALIGN.CENTER&&!s.hasIndent){t.style[{left:"marginLeft",right:"marginRight"}[u.indentalign]]=a.Ex(a.length2em(u.indentshift))}}}return t}});g.TeXAtom.Augment({toSVG:function(){this.SVGgetStyles();var k=this.SVG();this.SVGhandleSpace(k);if(this.data[0]!=null){var l=this.data[0].toSVG(),m=0;if(this.texClass===g.TEXCLASS.VCENTER){m=a.TeX.axis_height-(l.h+l.d)/2+l.d}k.Add(l,0,m);k.ic=l.ic}this.SVGhandleColor(k);this.SVGsaveData(k);return k}});c.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});c.Browser.Select({Opera:function(k){a.Augment({operaZoomRefresh:true})}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(k,l){var m=(typeof(k)==="string"?document.createElement("svg:"+k):k);m.isMathJax=true;if(l){for(var n in l){if(l.hasOwnProperty(n)){m.setAttribute(n,l[n].toString())}}}return m}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(V){this.SVGgetStyles();var l=this.SVG();if(this.data.length===0){this.SVGsaveData(l);return l}var aI=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aI.width.match(/%$/)){l.width=aI.width=Math.floor(d.cwidth*parseFloat(aI.width)/100)+"px"}var al=this.SVGgetScale(),t=this.SVGgetMu(l);var aF=-1;var v=[],E=[],h=[],L=[],G=[],aD,aC,u=-1,aA,r,av,O,aj,z;var aK=d.FONTDATA.baselineskip*al*aI.useHeight,aw,Z=d.FONTDATA.lineH*al,ad=d.FONTDATA.lineD*al;for(aD=0,aA=this.data.length;aD<aA;aD++){O=this.data[aD];av=(O.type==="mlabeledtr"?aF:0);L[aD]=[];v[aD]=E[aD]=0;for(aC=av,r=O.data.length+av;aC<r;aC++){if(h[aC]==null){if(aC>u){u=aC}G[aC]=b.G();h[aC]=-d.BIGDIMEN}aj=O.data[aC-av];L[aD][aC]=aj.toSVG();if(aj.isEmbellished()){z=aj.CoreMO();var aH=z.Get("minsize",true);if(aH){if(z.SVGcanStretch("Vertical")){aw=z.SVGdata.h+z.SVGdata.d;if(aw){aH=d.length2em(aH,t,aw);if(aH*z.SVGdata.h/aw>v[aC]){v[aC]=aH*z.SVGdata.h/aw}if(aH*z.SVGdata.d/aw>E[aC]){E[aC]=aH*z.SVGdata.d/aw}}}else{if(z.SVGcanStretch("Horizontal")){aH=d.length2em(aH,t,z.SVGdata.w);if(aH>h[aC]){h[aC]=aH}}}}}if(L[aD][aC].h>v[aD]){v[aD]=L[aD][aC].h}if(L[aD][aC].d>E[aD]){E[aD]=L[aD][aC].d}if(L[aD][aC].w>h[aC]){h[aC]=L[aD][aC].w}}}if(v[0]+E[0]){v[0]=Math.max(v[0],Z)}if(v[L.length-1]+E[L.length-1]){E[L.length-1]=Math.max(E[L.length-1],ad)}var ak=MathJax.Hub.SplitList;var ai=ak(aI.columnspacing),Q=ak(aI.rowspacing),af=ak(aI.columnalign),I=ak(aI.rowalign),K=ak(aI.columnlines),g=ak(aI.rowlines),an=ak(aI.columnwidth),ar=[];for(aD=0,aA=ai.length;aD<aA;aD++){ai[aD]=d.length2em(ai[aD],t)}for(aD=0,aA=Q.length;aD<aA;aD++){Q[aD]=d.length2em(Q[aD],t)}while(ai.length<u){ai.push(ai[ai.length-1])}while(af.length<=u){af.push(af[af.length-1])}while(K.length<u){K.push(K[K.length-1])}while(an.length<=u){an.push(an[an.length-1])}while(Q.length<L.length){Q.push(Q[Q.length-1])}while(I.length<=L.length){I.push(I[I.length-1])}while(g.length<L.length){g.push(g[g.length-1])}if(G[aF]){af[aF]=(aI.side.substr(0,1)==="l"?"left":"right");ai[aF]=-h[aF]}for(aD=0,aA=L.length;aD<aA;aD++){O=this.data[aD];ar[aD]=[];if(O.rowalign){I[aD]=O.rowalign}if(O.columnalign){ar[aD]=ak(O.columnalign);while(ar[aD].length<=u){ar[aD].push(ar[aD][ar[aD].length-1])}}}if(aI.equalrows){var R=Math.max.apply(Math,v),am=Math.max.apply(Math,E);for(aD=0,aA=L.length;aD<aA;aD++){av=((R+am)-(v[aD]+E[aD]))/2;v[aD]+=av;E[aD]+=av}}aw=v[0]+E[L.length-1];for(aD=0,aA=L.length-1;aD<aA;aD++){aw+=Math.max((v[aD]+E[aD]?aK:0),E[aD]+v[aD+1]+Q[aD])}var ab=0,X=0,ax,aG=aw;if(aI.frame!=="none"||(aI.columnlines+aI.rowlines).match(/solid|dashed/)){var q=ak(aI.framespacing);if(q.length!=2){q=ak(this.defaults.framespacing)}ab=d.length2em(q[0],t);X=d.length2em(q[1],t);aG=aw+2*X}var e,au,az="";if(typeof(aI.align)!=="string"){aI.align=String(aI.align)}if(aI.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){az=RegExp.$3;aI.align=RegExp.$1}else{aI.align=this.defaults.align}if(az!==""){az=parseInt(az);if(az<0){az=L.length+1+az}if(az<1){az=1}else{if(az>L.length){az=L.length}}e=0;au=-(aw+X)+v[0];for(aD=0,aA=az-1;aD<aA;aD++){var U=Math.max((v[aD]+E[aD]?aK:0),E[aD]+v[aD+1]+Q[aD]);e+=U;au+=U}}else{e=({top:-(v[0]+X),bottom:aw+X-v[0],center:aw/2-v[0],baseline:aw/2-v[0],axis:aw/2+d.TeX.axis_height*al-v[0]})[aI.align];au=({top:-(aw+2*X),bottom:0,center:-(aw/2+X),baseline:-(aw/2+X),axis:d.TeX.axis_height*al-aw/2-X})[aI.align]}var ao,at=0,S=0,T=0,ay=0,aE=0,o=[],w=[],ag=1;if(aI.equalcolumns&&aI.width!=="auto"){ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}ao/=u+1;for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){h[aD]=ao}}else{for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){if(an[aD]==="auto"){S+=h[aD]}else{if(an[aD]==="fit"){w[aE]=aD;aE++;S+=h[aD]}else{if(an[aD].match(/%$/)){o[ay]=aD;ay++;T+=h[aD];at+=d.length2em(an[aD],t,1)}else{h[aD]=d.length2em(an[aD],t);S+=h[aD]}}}}if(aI.width==="auto"){if(at>0.98){ag=T/(S+T);ao=S+T}else{ao=S/(1-at)}}else{ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}}for(aD=0,aA=o.length;aD<aA;aD++){h[o[aD]]=d.length2em(an[o[aD]],t,ao*ag);S+=h[o[aD]]}if(Math.abs(ao-S)>0.01){if(aE&&ao>S){ao=(ao-S)/aE;for(aD=0,aA=w.length;aD<aA;aD++){h[w[aD]]+=ao}}else{ao=ao/S;for(aC=0;aC<=u;aC++){h[aC]*=ao}}}if(aI.equalcolumns){var ac=Math.max.apply(Math,h);for(aC=0;aC<=u;aC++){h[aC]=ac}}}var ap=e,k,aB;av=(G[aF]?aF:0);for(aC=av;aC<=u;aC++){G[aC].w=h[aC];for(aD=0,aA=L.length;aD<aA;aD++){if(L[aD][aC]){av=(this.data[aD].type==="mlabeledtr"?aF:0);aj=this.data[aD].data[aC-av];if(aj.SVGcanStretch("Horizontal")){L[aD][aC]=aj.SVGstretchH(h[aC])}else{if(aj.SVGcanStretch("Vertical")){z=aj.CoreMO();var aa=z.symmetric;z.symmetric=false;L[aD][aC]=aj.SVGstretchV(v[aD],E[aD]);z.symmetric=aa}}aB=aj.rowalign||this.data[aD].rowalign||I[aD];k=({top:v[aD]-L[aD][aC].h,bottom:L[aD][aC].d-E[aD],center:((v[aD]-E[aD])-(L[aD][aC].h-L[aD][aC].d))/2,baseline:0,axis:0})[aB]||0;aB=(aj.columnalign||ar[aD][aC]||af[aC]);G[aC].Align(L[aD][aC],aB,0,ap+k)}if(aD<L.length-1){ap-=Math.max((v[aD]+E[aD]?aK:0),E[aD]+v[aD+1]+Q[aD])}}ap=e}var ae=1.5*d.em;var aq=ab-ae/2;for(aC=0;aC<=u;aC++){l.Add(G[aC],aq,0);aq+=h[aC]+ai[aC];if(K[aC]!=="none"&&aC<u&&aC!==aF){l.Add(b.VLINE(aG,ae,K[aC]),aq-ai[aC]/2,au)}}l.w+=ab;l.d=-au;l.h=aG+au;ax=l.w;if(aI.frame!=="none"){l.Add(b.HLINE(ax,ae,aI.frame),0,au+aG-ae);l.Add(b.HLINE(ax,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),ax-ae,au)}ap=e-ae/2;for(aD=0,aA=L.length-1;aD<aA;aD++){k=Math.max(aK,E[aD]+v[aD+1]+Q[aD]);if(g[aD]!=="none"){l.Add(b.HLINE(ax,ae,g[aD]),0,ap-E[aD]-(k-E[aD]-v[aD+1])/2)}ap-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(G[aF]){var N=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(N.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){N.indentalign=N.indentalignfirst}if(N.indentalign===a.INDENTALIGN.AUTO){N.indentalign=this.displayAlign}if(N.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){N.indentshift=N.indentshiftfirst}if(N.indentshift==="auto"){N.indentshift=this.displayIndent}var ah=(N.indentshift?d.length2em(N.indentshift,t):0);var aJ=d.length2em(aI.minlabelspacing,t);var B=l;l=this.SVG();if(N.indentalign===a.INDENTALIGN.CENTER){l.w=l.r=d.length2em(d.cwidth+"px");ah=0;l.hasIndent=true}else{if(af[aF]!==N.indentalign){l.w=l.r=d.length2em(d.cwidth+"px")-ah-aJ;ah=aJ=0}else{l.w=l.r=B.w+ah;l.hasIndent=true}}l.Align(B,N.indentalign,ah,0);l.Align(G[aF],af[aF],aJ,0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(V){this.SVGgetStyles();var l=this.SVG(),al=this.SVGgetScale(l);if(this.data.length===0){this.SVGsaveData(l);return l}var aI=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aI.width.match(/%$/)){l.width=aI.width=Math.floor(d.cwidth*parseFloat(aI.width)/100)+"px"}var t=this.SVGgetMu(l);var aF=-1;var v=[],E=[],h=[],L=[],G=[],aD,aC,u=-1,aA,r,av,O,aj,z,aw;var Z=d.FONTDATA.lineH*al*aI.useHeight,ad=d.FONTDATA.lineD*al*aI.useHeight;for(aD=0,aA=this.data.length;aD<aA;aD++){O=this.data[aD];av=(O.type==="mlabeledtr"?aF:0);L[aD]=[];v[aD]=Z;E[aD]=ad;for(aC=av,r=O.data.length+av;aC<r;aC++){if(h[aC]==null){if(aC>u){u=aC}G[aC]=b.G();h[aC]=-d.BIGDIMEN}aj=O.data[aC-av];L[aD][aC]=aj.toSVG();if(aj.isEmbellished()){z=aj.CoreMO();var aH=z.Get("minsize",true);if(aH){if(z.SVGcanStretch("Vertical")){aw=z.SVGdata.h+z.SVGdata.d;if(aw){aH=d.length2em(aH,t,aw);if(aH*z.SVGdata.h/aw>v[aD]){v[aD]=aH*z.SVGdata.h/aw}if(aH*z.SVGdata.d/aw>E[aD]){E[aD]=aH*z.SVGdata.d/aw}}}else{if(z.SVGcanStretch("Horizontal")){aH=d.length2em(aH,t,z.SVGdata.w);if(aH>h[aC]){h[aC]=aH}}}}}if(L[aD][aC].h>v[aD]){v[aD]=L[aD][aC].h}if(L[aD][aC].d>E[aD]){E[aD]=L[aD][aC].d}if(L[aD][aC].w>h[aC]){h[aC]=L[aD][aC].w}}}var ak=MathJax.Hub.SplitList;var ai=ak(aI.columnspacing),Q=ak(aI.rowspacing),af=ak(aI.columnalign),I=ak(aI.rowalign),K=ak(aI.columnlines),g=ak(aI.rowlines),an=ak(aI.columnwidth),ar=[];for(aD=0,aA=ai.length;aD<aA;aD++){ai[aD]=d.length2em(ai[aD],t)}for(aD=0,aA=Q.length;aD<aA;aD++){Q[aD]=d.length2em(Q[aD],t)}while(ai.length<u){ai.push(ai[ai.length-1])}while(af.length<=u){af.push(af[af.length-1])}while(K.length<u){K.push(K[K.length-1])}while(an.length<=u){an.push(an[an.length-1])}while(Q.length<L.length){Q.push(Q[Q.length-1])}while(I.length<=L.length){I.push(I[I.length-1])}while(g.length<L.length){g.push(g[g.length-1])}if(G[aF]){af[aF]=(aI.side.substr(0,1)==="l"?"left":"right");ai[aF]=-h[aF]}for(aD=0,aA=L.length;aD<aA;aD++){O=this.data[aD];ar[aD]=[];if(O.rowalign){I[aD]=O.rowalign}if(O.columnalign){ar[aD]=ak(O.columnalign);while(ar[aD].length<=u){ar[aD].push(ar[aD][ar[aD].length-1])}}}if(aI.equalrows){var R=Math.max.apply(Math,v),am=Math.max.apply(Math,E);for(aD=0,aA=L.length;aD<aA;aD++){av=((R+am)-(v[aD]+E[aD]))/2;v[aD]+=av;E[aD]+=av}}aw=v[0]+E[L.length-1];for(aD=0,aA=L.length-1;aD<aA;aD++){aw+=Math.max(0,E[aD]+v[aD+1]+Q[aD])}var ab=0,X=0,ax,aG=aw;if(aI.frame!=="none"||(aI.columnlines+aI.rowlines).match(/solid|dashed/)){var q=ak(aI.framespacing);if(q.length!=2){q=ak(this.defaults.framespacing)}ab=d.length2em(q[0],t);X=d.length2em(q[1],t);aG=aw+2*X}var e,au,az="";if(typeof(aI.align)!=="string"){aI.align=String(aI.align)}if(aI.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){az=RegExp.$3;aI.align=RegExp.$1}else{aI.align=this.defaults.align}if(az!==""){az=parseInt(az);if(az<0){az=L.length+1+az}if(az<1){az=1}else{if(az>L.length){az=L.length}}e=0;au=-(aw+X)+v[0];for(aD=0,aA=az-1;aD<aA;aD++){var U=Math.max(0,E[aD]+v[aD+1]+Q[aD]);e+=U;au+=U}}else{e=({top:-(v[0]+X),bottom:aw+X-v[0],center:aw/2-v[0],baseline:aw/2-v[0],axis:aw/2+d.TeX.axis_height*al-v[0]})[aI.align];au=({top:-(aw+2*X),bottom:0,center:-(aw/2+X),baseline:-(aw/2+X),axis:d.TeX.axis_height*al-aw/2-X})[aI.align]}var ao,at=0,S=0,T=0,ay=0,aE=0,o=[],w=[],ag=1;if(aI.equalcolumns&&aI.width!=="auto"){ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}ao/=u+1;for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){h[aD]=ao}}else{for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){if(an[aD]==="auto"){S+=h[aD]}else{if(an[aD]==="fit"){w[aE]=aD;aE++;S+=h[aD]}else{if(an[aD].match(/%$/)){o[ay]=aD;ay++;T+=h[aD];at+=d.length2em(an[aD],t,1)}else{h[aD]=d.length2em(an[aD],t);S+=h[aD]}}}}if(aI.width==="auto"){if(at>0.98){ag=T/(S+T);ao=S+T}else{ao=S/(1-at)}}else{ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}}for(aD=0,aA=o.length;aD<aA;aD++){h[o[aD]]=d.length2em(an[o[aD]],t,ao*ag);S+=h[o[aD]]}if(Math.abs(ao-S)>0.01){if(aE&&ao>S){ao=(ao-S)/aE;for(aD=0,aA=w.length;aD<aA;aD++){h[w[aD]]+=ao}}else{ao=ao/S;for(aC=0;aC<=u;aC++){h[aC]*=ao}}}if(aI.equalcolumns){var ac=Math.max.apply(Math,h);for(aC=0;aC<=u;aC++){h[aC]=ac}}}var ap=e,k,aB;av=(G[aF]?aF:0);for(aC=av;aC<=u;aC++){G[aC].w=h[aC];for(aD=0,aA=L.length;aD<aA;aD++){if(L[aD][aC]){av=(this.data[aD].type==="mlabeledtr"?aF:0);aj=this.data[aD].data[aC-av];if(aj.SVGcanStretch("Horizontal")){L[aD][aC]=aj.SVGstretchH(h[aC])}else{if(aj.SVGcanStretch("Vertical")){z=aj.CoreMO();var aa=z.symmetric;z.symmetric=false;L[aD][aC]=aj.SVGstretchV(v[aD],E[aD]);z.symmetric=aa}}aB=aj.rowalign||this.data[aD].rowalign||I[aD];k=({top:v[aD]-L[aD][aC].h,bottom:L[aD][aC].d-E[aD],center:((v[aD]-E[aD])-(L[aD][aC].h-L[aD][aC].d))/2,baseline:0,axis:0})[aB]||0;aB=(aj.columnalign||ar[aD][aC]||af[aC]);G[aC].Align(L[aD][aC],aB,0,ap+k)}if(aD<L.length-1){ap-=Math.max(0,E[aD]+v[aD+1]+Q[aD])}}ap=e}var ae=1.5*d.em;var aq=ab-ae/2;for(aC=0;aC<=u;aC++){l.Add(G[aC],aq,0);aq+=h[aC]+ai[aC];if(K[aC]!=="none"&&aC<u&&aC!==aF){l.Add(b.VLINE(aG,ae,K[aC]),aq-ai[aC]/2,au)}}l.w+=ab;l.d=-au;l.h=aG+au;ax=l.w;if(aI.frame!=="none"){l.Add(b.HLINE(ax,ae,aI.frame),0,au+aG-ae);l.Add(b.HLINE(ax,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),ax-ae,au)}ap=e-ae/2;for(aD=0,aA=L.length-1;aD<aA;aD++){k=Math.max(0,E[aD]+v[aD+1]+Q[aD]);if(g[aD]!=="none"){l.Add(b.HLINE(ax,ae,g[aD]),0,ap-E[aD]-(k-E[aD]-v[aD+1])/2)}ap-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(G[aF]){var N=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(N.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){N.indentalign=N.indentalignfirst}if(N.indentalign===a.INDENTALIGN.AUTO){N.indentalign=this.displayAlign}if(N.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){N.indentshift=N.indentshiftfirst}if(N.indentshift==="auto"){N.indentshift=this.displayIndent}var ah=(N.indentshift?d.length2em(N.indentshift,t):0);var aJ=d.length2em(aI.minlabelspacing,t);var B=l;l=this.SVG();if(N.indentalign===a.INDENTALIGN.CENTER){l.w=l.r=d.length2em(d.cwidth+"px");ah=0;l.hasIndent=true}else{if(af[aF]!==N.indentalign){l.w=l.r=d.length2em(d.cwidth+"px")-ah-aJ;ah=aJ=0}else{l.w=l.r=B.w+ah;l.hasIndent=true}}l.Align(B,N.indentalign,ah,0);l.Align(G[aF],af[aF],aJ,0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG-full.js");
diff --git a/config/TeX-AMS-MML_SVG.js b/config/TeX-AMS-MML_SVG.js
index 73ef76429..7ed5df7f6 100644
--- a/config/TeX-AMS-MML_SVG.js
+++ b/config/TeX-AMS-MML_SVG.js
@@ -33,20 +33,20 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.3",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG.js");
diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
index 50edf6b5a..be4529709 100644
--- a/config/TeX-AMS_HTML-full.js
+++ b/config/TeX-AMS_HTML-full.js
@@ -32,19 +32,19 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(h,b,d){var g,i=b.Browser.isMobile;var e=function(){var k=[].slice.call(arguments,0);k[0][0]=["HTML-CSS",k[0][0]];return MathJax.Message.Set.apply(MathJax.Message,k)};var f=MathJax.Object.Subclass({timeout:(i?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"},"STIX-Web":{family:"STIXWeb_Size1",testString:"() {} []"},"Asana-Math":{family:"AsanaMath_Size1",testString:"() {} []"},"Gyre-Pagella":{family:"GyrePagella_Size1",testString:"() {} []"},"Gyre-Termes":{family:"GyreTermes_Size1",testString:"() {} []"},"Latin-Modern":{family:"LatinModern_Size1",testString:"() {} []"},"Neo-Euler":{family:"NeoEuler_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(o,l){if(l&&this.testCollection(l)){return l}for(var n=0,k=o.length;n<k;n++){if(o[n]===l){continue}if(this.testCollection(o[n])){return o[n]}}return null},testCollection:function(k){return this.testFont(this.FontInfo[k])},testFont:function(n){if(n.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(n.weight||"normal");this.div.style.fontStyle=(n.style||"normal")}var l=this.getComparisonWidths(n.testString,n.noStyleChar);if(l){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==l[0]){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[l[2]];if(this.div.offsetWidth==l[1]){return false}}if(this.div.offsetWidth!=l[3]||this.div.offsetHeight!=l[4]){if(n.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var o=0,k=this.testSize.length;o<k;o++){if(this.testStyleChar(n,this.testSize[o])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(m,p){var s=3+(m.weight?2:0)+(m.style?4:0);var l="",o=0;var r=this.div.style.fontSize;this.div.style.fontSize=p;if(d.msieItalicWidthBug&&m.style==="italic"){this.text.nodeValue=l=this.compChar;o=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+l}else{this.text.nodeValue=this.compChar+l}var k=this.div.offsetWidth-o;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+l}else{this.text.nodeValue=this.styleChar+l}var q=Math.floor((this.div.offsetWidth-o)/k+0.5);if(q===s){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+l}else{this.text.nodeValue=this.versionChar+l}m.version=Math.floor((this.div.offsetWidth-o)/k+1.5)/2}this.div.style.fontSize=r;return(q===s)},getComparisonWidths:function(p,n){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!n){p+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=p}else{this.text.nodeValue=p}this.div.style.fontFamily=this.comparisonFont[0];var l=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var r=this.div.offsetWidth,o=this.div.offsetHeight;for(var q=1,k=this.comparisonFont.length;q<k;q++){this.div.style.fontFamily=this.comparisonFont[q];if(this.div.offsetWidth!=l){return[l,this.div.offsetWidth,q,r,o]}}return null},loadWebFont:function(l){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+l.directory);var o=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+l.directory]);var k=MathJax.Callback({});var m=MathJax.Callback(["loadComplete",this,l,o,k]);h.timer.start(h,[this.checkWebFont,l,m],0,this.timeout);return k},loadComplete:function(m,p,l,k){MathJax.Message.Clear(p);if(k===h.STATUS.OK){this.webFontLoaded=true;l();return}this.loadError(m);if(b.Browser.isFirefox&&d.allowWebFonts){var o=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){o+=":"+document.location.port}o+="/";if(h.fileURL(d.webfontDir).substr(0,o.length)!==o){this.firefoxFontError(m)}}if(!this.webFontLoaded){d.loadWebFontError(m,l)}else{l()}},loadError:function(k){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+k.directory],null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+k.directory,k])},firefoxFontError:function(k){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(k,l,m){if(k.time(m)){return}if(d.Font.testFont(l)){m(k.STATUS.OK)}else{setTimeout(k,k.delay)}},fontFace:function(m){var n=d.allowWebFonts;var p=d.FONTDATA.FONTS[m];if(d.msieFontCSSBug&&!p.family.match(/-Web$/)){p.family+="-Web"}var l=h.fileURL(d.webfontDir+"/"+n);var k=m.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!k.match(/-/)){k+="-Regular"}if(n==="svg"){k+=".svg#"+k}else{k+="."+n}var o={"font-family":p.family,src:"url('"+l+"/"+k+"')"};if(n==="otf"){o.src+=" format('opentype')";l=h.fileURL(d.webfontDir+"/woff");o.src="url('"+l+"/"+k.replace(/otf$/,"woff")+"') format('woff'), "+o.src}else{if(n!=="eot"){o.src+=" format('"+n+"')"}}if(!(d.FontFaceBug&&p.isWebFont)){if(m.match(/-bold/)){o["font-weight"]="bold"}if(m.match(/-italic/)){o["font-style"]="italic"}}return o}});var j,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var l=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(l.scale){this.config.scale=l.scale}if(l.font&&l.font!=="Auto"){if(l.font==="TeXLocal"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(l.font==="TeXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(l.font==="TeXimage"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}else{if(l.font==="STIXlocal"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="STIX-Web"}else{if(l.font==="STIXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="STIX-Web"}else{if(l.font==="AsanaMathWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Asana-Math"}else{if(l.font==="GyrePagellaWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Pagella"}else{if(l.font==="GyreTermesWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Termes"}else{if(l.font==="LatinModernWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Latin-Modern"}else{if(l.font==="NeoEulerWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Neo-Euler"}}}}}}}}}}}var k=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!k&&this.allowWebFonts){k=this.config.webFont;if(k){this.webFonts=true}}if(!k&&this.config.imageFont){k=this.config.imageFont;this.imgFonts=true}if(k){this.fontInUse=k;this.fontDir+="/"+k;this.webfontDir+="/"+k;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);this.fontInUse="generic";this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{fonts:[]},"-largeOp":{fonts:[]},"-smallOp":{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var l=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=l.offsetWidth/5;this.hiddenDiv.removeChild(l);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(k){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(n){for(var l=0,k=n.length;l<k;l++){if(n[l]==="STIX"){n.splice(l,1);k--;l--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=n[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var l=0,k=d.config.preloadWebFonts.length;l<k;l++){var n=d.FONTDATA.FONTS[d.config.preloadWebFonts[l]];if(!n.available){d.Font.testFont(n)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(o){var u=o.jax[this.id],v,r=u.length,z,t,A,n,y,l,x,q,s,k,w=false,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}t=z.previousSibling;if(t&&String(t.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)){t.parentNode.removeChild(t)}l=z.MathJax.elementJax;if(!l){continue}l.HTMLCSS={display:(l.root.Get("display")==="block")};A=n=this.Element("span",{className:"MathJax",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick});if(b.Browser.noContextMenu){A.ontouchstart=a.start;A.ontouchend=a.end}if(l.HTMLCSS.display){n=this.Element("div",{className:"MathJax_Display"});n.appendChild(A)}else{if(this.msieDisappearingBug){A.style.display="inline-block"}}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.EmExSpan.cloneNode(true),z);if(w){n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;q=y.lastChild.firstChild.offsetHeight/60;if(w){k=n.previousSibling.firstChild.offsetWidth}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.HTMLCSS.isHidden=true;x=this.defaultEx;q=this.defaultEm;if(w){k=this.defaultWidth}}s=(this.config.matchFontHeight?x/this.TeX.x_height/q:1);s=Math.floor(Math.max(this.config.minScaleAdjust/100,s)*this.config.scale);l.HTMLCSS.scale=s/100;l.HTMLCSS.fontSize=s+"%";l.HTMLCSS.em=l.HTMLCSS.outerEm=q;this.em=q*s/100;l.HTMLCSS.ex=x;l.HTMLCSS.lineWidth=(B?this.length2em(p,1,k/this.em):1000000)}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=u[v].previousSibling;l=u[v].MathJax.elementJax;if(!l){continue}if(w){A=y.previousSibling;if(!l.HTMLCSS.isHidden){A=A.previousSibling}A.parentNode.removeChild(A)}y.parentNode.removeChild(y)}o.HTMLCSSeqn=o.HTMLCSSlast=0;o.HTMLCSSi=-1;o.HTMLCSSchunk=this.config.EqnChunk;o.HTMLCSSdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.HTMLCSSdelay){p.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.HTMLCSS.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.HTMLCSS.em*k.HTMLCSS.scale;this.outerEm=k.HTMLCSS.em;this.scale=k.HTMLCSS.scale;this.linebreakWidth=k.HTMLCSS.lineWidth;if(this.scale!==1){m.style.fontSize=k.HTMLCSS.fontSize}this.initImg(m);this.initHTML(o,m);o.setTeXclass();try{o.toHTML(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}if(k.HTMLCSS.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_Processed";if(l.MathJax.preview){k.HTMLCSS.preview=l.MathJax.preview;delete l.MathJax.preview}p.HTMLCSSeqn+=(p.i-p.HTMLCSSi);p.HTMLCSSi=p.i;if(p.HTMLCSSeqn>=p.HTMLCSSlast+p.HTMLCSSchunk){this.postTranslate(p,true);p.HTMLCSSchunk=Math.floor(p.HTMLCSSchunk*this.config.EqnChunkFactor);p.HTMLCSSdelay=true}}},postTranslate:function(s,o){var l=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=s.HTMLCSSlast,k=s.HTMLCSSeqn;q<k;q++){var n=l[q];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var r=n.MathJax.elementJax.HTMLCSS;if(r.preview){r.preview.innerHTML="";n.MathJax.preview=r.preview;delete r.preview}}}if(this.forceReflow){var p=(document.styleSheets||[])[0]||{};p.disabled=true;p.disabled=false}s.HTMLCSSlast=s.HTMLCSSeqn},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return b.getJaxFor(k)},getHoverSpan:function(k,l){return k.root.HTMLspanElement()},getHoverBBox:function(k,n,o){var p=n.bbox,m=k.HTMLCSS.outerEm;var l={w:p.w*m,h:p.h*m,d:p.d*m};if(p.width){l.width=p.width}return l},Zoom:function(l,v,u,k,s){v.className="MathJax";v.style.fontSize=l.HTMLCSS.fontSize;var x=v.appendChild(this.EmExSpan.cloneNode(true));var o=x.lastChild.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o;this.outerEm=o/l.HTMLCSS.scale;x.parentNode.removeChild(x);this.idPostfix="-zoom";l.root.toHTML(v,v);this.idPostfix="";var n=l.root.HTMLspanElement().bbox.width;if(n){v.style.width=Math.floor(k-1.5*d.em)+"px";v.style.display="inline-block";var m=(l.root.id||"MathJax-Span-"+l.root.spanID)+"-zoom";var p=document.getElementById(m).firstChild;while(p&&p.style.width!==n){p=p.nextSibling}if(p){p.style.width="100%"}}v.style.position="absolute";if(!n){u.style.position="absolute"}var t=v.offsetWidth,r=v.offsetHeight,w=u.offsetHeight,q=u.offsetWidth;if(q===0){q=u.parentNode.offsetWidth}v.style.position=u.style.position="";return{Y:-j.getBBox(v).h,mW:q,mH:w,zW:t,zH:r}},initImg:function(k){},initHTML:function(l,k){},initFont:function(k){var m=d.FONTDATA.FONTS,l=d.config.availableFonts;if(l&&l.length&&d.Font.testFont(m[k])){m[k].available=true;return null}if(!this.allowWebFonts){return null}m[k].isWebFont=true;if(d.FontFaceBug){m[k].family=k;if(d.msieFontCSSBug){m[k].family+="-Web"}}return h.Styles({"@font-face":this.Font.fontFace(k)})},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.HTMLCSS.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.HTMLCSS},getHD:function(l){var k=l.style.position;l.style.position="absolute";this.HDimg.style.height="0px";l.appendChild(this.HDspan);var m={h:l.offsetHeight};this.HDimg.style.height=m.h+"px";m.d=l.offsetHeight-m.h;m.h-=m.d;m.h/=this.em;m.d/=this.em;l.removeChild(this.HDspan);l.style.position=k;return m},getW:function(o){var l,n,m=(o.bbox||{}).w,p=o;if(o.bbox&&o.bbox.exactW){return m}if((o.bbox&&m>=0&&!this.initialSkipBug)||this.negativeBBoxes||!o.firstChild){l=o.offsetWidth;n=o.parentNode.offsetHeight}else{if(o.bbox&&m<0&&this.msieNegativeBBoxBug){l=-o.offsetWidth,n=o.parentNode.offsetHeight}else{if(this.initialSkipBug){var k=o.style.position;o.style.position="absolute";p=this.startMarker;o.insertBefore(p,o.firstChild)}o.appendChild(this.endMarker);l=this.endMarker.offsetLeft-p.offsetLeft;o.removeChild(this.endMarker);if(this.initialSkipBug){o.removeChild(p);o.style.position=k}}}if(n!=null){o.parentNode.HH=n/this.em}return l/this.em},Measured:function(m,l){var n=m.bbox;if(n.width==null&&n.w&&!n.isMultiline){var k=this.getW(m);n.rw+=k-n.w;n.w=k;n.exactW=true}if(!l){l=m.parentNode}if(!l.bbox){l.bbox=n}return m},Remeasured:function(l,k){k.bbox=this.Measured(l,k).bbox},MeasureSpans:function(o){var r=[],t,q,n,u,k,p,l,s;for(q=0,n=o.length;q<n;q++){t=o[q];if(!t){continue}u=t.bbox;s=this.parentNode(t);if(u.exactW||u.width||u.w===0||u.isMultiline){if(!s.bbox){s.bbox=u}continue}if(this.negativeBBoxes||!t.firstChild||(u.w>=0&&!this.initialSkipBug)||(u.w<0&&this.msieNegativeBBoxBug)){r.push([t])}else{if(this.initialSkipBug){k=this.startMarker.cloneNode(true);p=this.endMarker.cloneNode(true);t.insertBefore(k,t.firstChild);t.appendChild(p);r.push([t,k,p,t.style.position]);t.style.position="absolute"}else{p=this.endMarker.cloneNode(true);t.appendChild(p);r.push([t,null,p])}}}for(q=0,n=r.length;q<n;q++){t=r[q][0];u=t.bbox;s=this.parentNode(t);if((u.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!t.firstChild){l=t.offsetWidth;s.HH=s.offsetHeight/this.em}else{if(u.w<0&&this.msieNegativeBBoxBug){l=-t.offsetWidth,s.HH=s.offsetHeight/this.em}else{l=r[q][2].offsetLeft-((r[q][1]||{}).offsetLeft||0)}}l/=this.em;u.rw+=l-u.w;u.w=l;u.exactW=true;if(!s.bbox){s.bbox=u}}for(q=0,n=r.length;q<n;q++){t=r[q];if(t[1]){t[1].parentNode.removeChild(t[1]),t[0].style.position=t[3]}if(t[2]){t[2].parentNode.removeChild(t[2])}}},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(k){k=(Math.round(k*d.em)+0.05)/d.em;if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(k){return parseFloat(k)},Px:function(k){k*=this.em;var l=(k<0?"-":"");return l+Math.abs(k).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(k){return parseFloat(k)/this.em},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(r,l,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===g.SIZE.NORMAL){return 1}if(r===g.SIZE.BIG){return 2}if(r===g.SIZE.SMALL){return 0.71}if(r==="infinity"){return d.BIGDIMEN}var o=this.FONTDATA.TeX_factor;if(r.match(/mathspace$/)){return d.MATHSPACE[r]*o}var n=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1"),q=n[2];if(p==null){p=1}if(l==null){l=1}if(q==="em"){return k*o}if(q==="ex"){return k*d.TeX.x_height*o}if(q==="%"){return k/100*p}if(q==="px"){return k/d.em}if(q==="pt"){return k/10*o}if(q==="pc"){return k*1.2*o}if(q==="in"){return k*this.pxPerInch/d.em}if(q==="cm"){return k*this.pxPerInch/d.em/2.54}if(q==="mm"){return k*this.pxPerInch/d.em/25.4}if(q==="mu"){return k/18*o*l}return k*o*p},thickness2em:function(l,k){var m=d.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(p){var m={top:0,right:0,bottom:0,left:0},n={},l=false;for(var q in m){if(m.hasOwnProperty(q)){var k="border"+q.charAt(0).toUpperCase()+q.substr(1);var o=p.style[k+"Style"];if(o){l=true;m[q]=this.length2em(p.style[k+"Width"]);n[k]=[p.style[k+"Width"],p.style[k+"Style"],p.style[k+"Color"]].join(" ")}}}m.css=n;return(l?m:false)},setBorders:function(k,l){if(l){for(var m in l.css){if(l.css.hasOwnProperty(m)){k.style[m]=l.css[m]}}}},createStrut:function(m,l,n){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:l+"px",width:"1px",marginRight:"-1px"}});if(n){m.insertBefore(k,m.firstChild)}else{m.appendChild(k)}return k},createBlank:function(l,k,m){var n=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(k)}});if(m){l.insertBefore(n,l.firstChild)}else{l.appendChild(n)}return n},createShift:function(l,k,n){var m=this.Element("span",{style:{marginLeft:this.Em(k)},isMathJax:true});if(n){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}return m},createSpace:function(p,n,o,q,m,s){if(n<-o){o=-n}var r=this.Em(n+o),k=this.Em(-o);if(this.msieInlineBlockAlignBug){k=this.Em(d.getHD(p.parentNode).d-o)}if(p.isBox||s){var l=(p.scale==null?1:p.scale);p.bbox={exactW:true,h:n*l,d:o*l,w:q*l,rw:q*l,lw:0};p.style.height=r;p.style.verticalAlign=k;p.HH=(n+o)*l}else{p=this.addElement(p,"span",{style:{height:r,verticalAlign:k},isMathJax:true})}if(q>=0){p.style.width=this.Em(q);p.style.display="inline-block";p.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){p.style.height=""}p.style.marginLeft=this.Em(q);if(d.safariNegativeSpaceBug&&p.parentNode.firstChild==p){this.createBlank(p,0,true)}}if(m&&m!==g.COLOR.TRANSPARENT){p.style.backgroundColor=m;p.style.position="relative"}return p},createRule:function(r,n,p,s,l){if(n<-p){p=-n}var m=d.TeX.min_rule_thickness,o=1;if(s>0&&s*this.em<m){s=m/this.em}if(n+p>0&&(n+p)*this.em<m){o=1/(n+p)*(m/this.em);n*=o;p*=o}if(!l){l="solid"}else{l="solid "+l}l=this.Em(s)+" "+l;var t=(o===1?this.Em(n+p):m+"px"),k=this.Em(-p);var q=this.addElement(r,"span",{style:{borderLeft:l,display:"inline-block",overflow:"hidden",width:0,height:t,verticalAlign:k},bbox:{h:n,d:p,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:n+p,isMathJax:true});if(s>0&&q.offsetWidth==0){q.style.width=this.Em(s)}if(r.isBox||r.className=="mspace"){r.bbox=q.bbox,r.HH=n+p}return q},createFrame:function(s,q,r,u,x,l){if(q<-r){r=-q}var p=2*x;if(this.msieFrameSizeBug){if(u<p){u=p}if(q+r<p){q=p-r}}if(this.msieBorderWidthBug){p=0}var v=this.Em(q+r-p),k=this.Em(-r-x),o=this.Em(u-p);var m=this.Em(x)+" "+l;var n=this.addElement(s,"span",{style:{border:m,display:"inline-block",overflow:"hidden",width:o,height:v},bbox:{h:q,d:r,w:u,rw:u,lw:0,exactW:true},noAdjust:true,HH:q+r,isMathJax:true});if(k){n.style.verticalAlign=k}return n},parentNode:function(l){var k=l.parentNode;if(k.nodeName.toLowerCase()==="a"){k=k.parentNode}return k},createStack:function(m,o,l){if(this.msiePaddingWidthBug){this.createStrut(m,0)}var n=String(l).match(/%$/);var k=(!n&&l!=null?l:0);m=this.addElement(m,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(n?"100%":this.Em(k)),height:0}});if(!o){m.parentNode.bbox=m.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:k,lw:this.BIGDIMEN,rw:(!n&&l!=null?l:-this.BIGDIMEN)};if(n){m.bbox.width=l}}return m},createBox:function(l,k){var m=this.addElement(l,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(k!=null){m.style.width=k}return m},addBox:function(k,l){l.style.position="absolute";l.isBox=l.isMathJax=true;return k.appendChild(l)},placeBox:function(u,s,q,o){u.isMathJax=true;var v=d.parentNode(u),C=u.bbox,z=v.bbox;if(this.msiePlaceBoxBug){this.addText(u,this.NBSP)}if(this.imgSpaceBug){this.addText(u,this.imgSpace)}var w,F=0;if(u.HH!=null){w=u.HH}else{if(C){w=Math.max(3,C.h+C.d)}else{w=u.offsetHeight/this.em}}if(!u.noAdjust){w+=1;w=Math.round(w*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(u,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(w)}})}else{this.addElement(u,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(w)}});if(d.chromeHeightBug){w-=(u.lastChild.offsetHeight-Math.round(w*this.em))/this.em}}}if(C){if(this.initialSkipBug){if(C.lw<0){F=C.lw;d.createBlank(u,-F,true)}if(C.rw>C.w){d.createBlank(u,C.rw-C.w+0.1)}}if(!this.msieClipRectBug&&!C.noclip&&!o){var B=3/this.em;var A=(C.H==null?C.h:C.H),m=(C.D==null?C.d:C.D);var E=w-A-B,p=w+m+B,n=C.lw-3*B,k=1000;if(this.initialSkipBug&&C.lw<0){n=-3*B}if(C.isFixed){k=C.width-n}u.style.clip="rect("+this.Em(E)+" "+this.Em(k)+" "+this.Em(p)+" "+this.Em(n)+")"}}u.style.top=this.Em(-q-w);u.style.left=this.Em(s+F);if(C&&z){if(C.H!=null&&(z.H==null||C.H+q>z.H)){z.H=C.H+q}if(C.D!=null&&(z.D==null||C.D-q>z.D)){z.D=C.D-q}if(C.h+q>z.h){z.h=C.h+q}if(C.d-q>z.d){z.d=C.d-q}if(z.H!=null&&z.H<=z.h){delete z.H}if(z.D!=null&&z.D<=z.d){delete z.D}if(C.w+s>z.w){z.w=C.w+s;if(z.width==null){v.style.width=this.Em(z.w)}}if(C.rw+s>z.rw){z.rw=C.rw+s}if(C.lw+s<z.lw){z.lw=C.lw+s}if(C.width!=null&&!C.isFixed){if(z.width==null){v.style.width=z.width="100%";if(C.minWidth){v.style.minWidth=z.minWidth=C.minWidth}}u.style.width=C.width}}},alignBox:function(n,t,s){this.placeBox(n,0,s);var p=n.bbox;if(p.isMultiline){return}var m=p.width!=null&&!p.isFixed;var o=0,q=-p.w/2,k="50%";if(this.initialSkipBug){o=p.w-p.rw-0.1;q+=p.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(m){q="";k=(50-parseFloat(p.width)/2)+"%"}b.Insert(n.style,({right:{left:"",right:this.Em(o)},center:{left:k,marginLeft:q}})[t])},setStackWidth:function(l,k){if(typeof(k)==="number"){l.style.width=this.Em(Math.max(0,k));var m=l.bbox;if(m){m.w=k;m.exactW=true}m=l.parentNode.bbox;if(m){m.w=k;m.exactW=true}}else{l.style.width=l.parentNode.style.width="100%";if(l.bbox){l.bbox.width=k}if(l.parentNode.bbox){l.parentNode.bbox.width=k}}},createDelimiter:function(u,k,n,q,o){if(!k){u.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};u.bbox.rw=u.bbox.w;this.createSpace(u,u.bbox.h,u.bbox.d,u.bbox.w);return}if(!q){q=1}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){b.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var s=0,p=l.HW.length;s<p;s++){if(l.HW[s][0]*q>=n-0.01||(s==p-1&&!l.stretch)){if(l.HW[s][2]){q*=l.HW[s][2]}if(l.HW[s][3]){k=l.HW[s][3]}var r=this.addElement(u,"span");this.createChar(r,[k,l.HW[s][1]],q,o);u.bbox=r.bbox;u.offset=0.65*u.bbox.w;u.scale=q;return}}if(l.stretch){this["extendDelimiter"+l.dir](u,t,l.stretch,q,o)}},extendDelimiterV:function(A,t,E,F,w){var o=this.createStack(A,true);var v=this.createBox(o),u=this.createBox(o);this.createChar(v,(E.top||E.ext),F,w);this.createChar(u,(E.bot||E.ext),F,w);var m={bbox:{w:0,lw:0,rw:0}},D=m,p;var B=v.bbox.h+v.bbox.d+u.bbox.h+u.bbox.d;var r=-v.bbox.h;this.placeBox(v,0,r,true);r-=v.bbox.d;if(E.mid){D=this.createBox(o);this.createChar(D,E.mid,F,w);B+=D.bbox.h+D.bbox.d}if(E.min&&t<B*E.min){t=B*E.min}if(t>B){m=this.Element("span");this.createChar(m,E.ext,F,w);var C=m.bbox.h+m.bbox.d,l=C-0.05,x,q,z=(E.mid?2:1);q=x=Math.min(Math.ceil((t-B)/(z*l)),this.maxStretchyParts);if(!E.fullExtenders){l=(t-B)/(z*x)}var s=(x/(x+1))*(C-l);l=C-s;r+=s+l-m.bbox.h;while(z-->0){while(x-->0){if(!this.msieCloneNodeBug){p=m.cloneNode(true)}else{p=this.Element("span");this.createChar(p,E.ext,F,w)}p.bbox=m.bbox;r-=l;this.placeBox(this.addBox(o,p),0,r,true)}r+=s-m.bbox.d;if(E.mid&&z){this.placeBox(D,0,r-D.bbox.h,true);x=q;r+=-(D.bbox.h+D.bbox.d)+s+l-m.bbox.h}}}else{r+=(B-t)/2;if(E.mid){this.placeBox(D,0,r-D.bbox.h,true);r+=-(D.bbox.h+D.bbox.d)}r+=(B-t)/2}this.placeBox(u,0,r-u.bbox.h,true);r-=u.bbox.h+u.bbox.d;A.bbox={w:Math.max(v.bbox.w,m.bbox.w,u.bbox.w,D.bbox.w),lw:Math.min(v.bbox.lw,m.bbox.lw,u.bbox.lw,D.bbox.lw),rw:Math.max(v.bbox.rw,m.bbox.rw,u.bbox.rw,D.bbox.rw),h:0,d:-r,exactW:true};A.scale=F;A.offset=0.55*A.bbox.w;A.isMultiChar=true;this.setStackWidth(o,A.bbox.w)},extendDelimiterH:function(B,o,E,G,y){var r=this.createStack(B,true);var p=this.createBox(r),C=this.createBox(r);this.createChar(p,(E.left||E.rep),G,y);this.createChar(C,(E.right||E.rep),G,y);var l=this.Element("span");this.createChar(l,E.rep,G,y);var D={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},m;this.placeBox(p,-p.bbox.lw,0,true);var u=(p.bbox.rw-p.bbox.lw)+(C.bbox.rw-C.bbox.lw)-0.05,t=p.bbox.rw-p.bbox.lw-0.025,v;if(E.mid){D=this.createBox(r);this.createChar(D,E.mid,G,y);u+=D.bbox.w}if(E.min&&o<u*E.min){o=u*E.min}if(o>u){var F=l.bbox.rw-l.bbox.lw,q=F-0.05,z,s,A=(E.mid?2:1);s=z=Math.min(Math.ceil((o-u)/(A*q)),this.maxStretchyParts);if(!E.fillExtenders){q=(o-u)/(A*z)}v=(z/(z+1))*(F-q);q=F-v;t-=l.bbox.lw+v;while(A-->0){while(z-->0){if(!this.cloneNodeBug){m=l.cloneNode(true)}else{m=this.Element("span");this.createChar(m,E.rep,G,y)}m.bbox=l.bbox;this.placeBox(this.addBox(r,m),t,0,true);t+=q}if(E.mid&&A){this.placeBox(D,t,0,true);t+=D.bbox.w-v;z=s}}}else{t-=(u-o)/2;if(E.mid){this.placeBox(D,t,0,true);t+=D.bbox.w}t-=(u-o)/2}this.placeBox(C,t,0,true);B.bbox={w:t+C.bbox.rw,lw:0,rw:t+C.bbox.rw,H:Math.max(p.bbox.h,l.bbox.h,C.bbox.h,D.bbox.h),D:Math.max(p.bbox.d,l.bbox.d,C.bbox.d,D.bbox.d),h:l.bbox.h,d:l.bbox.d,exactW:true};B.scale=G;B.isMultiChar=true;this.setStackWidth(r,B.bbox.w)},createChar:function(s,p,n,k){s.isMathJax=true;var r=s,t="",o={fonts:[p[1]],noRemap:true};if(k&&k===g.VARIANT.BOLD){o.fonts=[p[1]+"-bold",p[1]]}if(typeof(p[1])!=="string"){o=p[1]}if(p[0] instanceof Array){for(var q=0,l=p[0].length;q<l;q++){t+=String.fromCharCode(p[0][q])}}else{t=String.fromCharCode(p[0])}if(p[4]){n*=p[4]}if(n!==1||p[3]){r=this.addElement(s,"span",{style:{fontSize:this.Percent(n)},scale:n,isMathJax:true});this.handleVariant(r,o,t);s.bbox=r.bbox}else{this.handleVariant(s,o,t)}if(p[2]){s.style.marginLeft=this.Em(p[2])}if(p[3]){s.firstChild.style.verticalAlign=this.Em(p[3]);s.bbox.h+=p[3];if(s.bbox.h<0){s.bbox.h=0}}if(p[5]){s.bbox.h+=p[5]}if(p[6]){s.bbox.d+=p[6]}if(this.AccentBug&&s.bbox.w===0){r.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(l,k){k-=l.bbox.h;l.bbox.d-=k;l.bbox.h+=k;if(k){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&l.isMultiChar)){if(l.firstChild.style.display===""&&l.style.top!==""){l=l.firstChild;k-=d.unEm(l.style.top)}l.style.position="relative";l.style.top=this.Em(-k)}else{l.style.verticalAlign=this.Em(k);if(d.ffVerticalAlignBug){d.createRule(l.parentNode,l.bbox.h,0,0)}}}},handleVariant:function(A,p,s){var z="",x,C,t,D,k=A,l=!!A.style.fontFamily;if(s.length===0){return}if(!A.bbox){A.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!p){p=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}D=p;for(var B=0,y=s.length;B<y;B++){p=D;x=s.charCodeAt(B);C=s.charAt(B);if(x>=55296&&x<56319){B++;x=(((x-55296)<<10)+(s.charCodeAt(B)-56320))+65536;if(this.FONTDATA.RemapPlane1){var E=this.FONTDATA.RemapPlane1(x,p);x=E.n;p=E.variant}}else{var u,r,v=this.FONTDATA.RANGES;for(u=0,r=v.length;u<r;u++){if(v[u].name==="alpha"&&p.noLowerCase){continue}var q=p["offset"+v[u].offset];if(q&&x>=v[u].low&&x<=v[u].high){if(v[u].remap&&v[u].remap[x]){x=q+v[u].remap[x]}else{x=x-v[u].low+q;if(v[u].add){x+=v[u].add}}if(p["variant"+v[u].offset]){p=this.FONTDATA.VARIANT[p["variant"+v[u].offset]]}break}}}if(p.remap&&p.remap[x]){if(p.remap[x] instanceof Array){var o=p.remap[x];x=o[0];p=this.FONTDATA.VARIANT[o[1]]}else{if(typeof(p.remap[x])==="string"){s=p.remap[x]+s.substr(B+1);B=0;y=s.length;x=s.charCodeAt(0)}else{x=p.remap[x];if(p.remap.variant){p=this.FONTDATA.VARIANT[p.remap.variant]}}}}if(this.FONTDATA.REMAP[x]&&!p.noRemap){x=this.FONTDATA.REMAP[x];if(x instanceof Array){p=this.FONTDATA.VARIANT[x[1]];x=x[0]}if(typeof(x)==="string"){s=x+s.substr(B+1);B=0;y=s.length;x=x.charCodeAt(0)}}t=this.lookupChar(p,x);C=t[x];if(l||(!this.checkFont(t,k.style)&&!C[5].img)){if(z.length){this.addText(k,z);z=""}var w=!!k.style.fontFamily||!!A.style.fontStyle||!!A.style.fontWeight||!t.directory||l;l=false;if(k!==A){w=!this.checkFont(t,A.style);k=A}if(w){k=this.addElement(A,"span",{isMathJax:true,subSpan:true})}this.handleFont(k,t,k!==A)}z=this.handleChar(k,t,C,x,z);if(!(C[5]||{}).space){if(C[0]/1000>A.bbox.h){A.bbox.h=C[0]/1000}if(C[1]/1000>A.bbox.d){A.bbox.d=C[1]/1000}}if(A.bbox.w+C[3]/1000<A.bbox.lw){A.bbox.lw=A.bbox.w+C[3]/1000}if(A.bbox.w+C[4]/1000>A.bbox.rw){A.bbox.rw=A.bbox.w+C[4]/1000}A.bbox.w+=C[2]/1000}if(z.length){this.addText(k,z)}if(A.scale&&A.scale!==1){A.bbox.h*=A.scale;A.bbox.d*=A.scale;A.bbox.w*=A.scale;A.bbox.lw*=A.scale;A.bbox.rw*=A.scale}if(s.length==1&&t.skew&&t.skew[x]){A.bbox.skew=t.skew[x]}},checkFont:function(k,l){var m=(l.fontWeight||"normal");if(m.match(/^\d+$/)){m=(parseInt(m)>=600?"bold":"normal")}return(k.family.replace(/'/g,"")===l.fontFamily.replace(/'/g,"")&&(k.style||"normal")===(l.fontStyle||"normal")&&(k.weight||"normal")===m)},handleFont:function(m,k,o){m.style.fontFamily=k.family;if(!k.directory){m.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&k.isWebFont)){var l=k.style||"normal",n=k.weight||"normal";if(l!=="normal"||o){m.style.fontStyle=l}if(n!=="normal"||o){m.style.fontWeight=n}}},handleChar:function(l,k,s,r,q){var p=s[5];if(p.space){if(q.length){this.addText(l,q)}d.createShift(l,s[2]/1000);return""}if(p.img){return this.handleImg(l,k,s,r,q)}if(p.isUnknown&&this.FONTDATA.DELIMITERS[r]){if(q.length){this.addText(l,q)}var o=l.scale;d.createDelimiter(l,r,0,1,k);if(this.FONTDATA.DELIMITERS[r].dir==="V"){l.style.verticalAlign=this.Em(l.bbox.d);l.bbox.h+=l.bbox.d;l.bbox.d=0}l.scale=o;s[0]=l.bbox.h*1000;s[1]=l.bbox.d*1000;s[2]=l.bbox.w*1000;s[3]=l.bbox.lw*1000;s[4]=l.bbox.rw*1000;return""}if(p.c==null){if(r<=65535){p.c=String.fromCharCode(r)}else{var m=r-65536;p.c=String.fromCharCode((m>>10)+55296)+String.fromCharCode((m&1023)+56320)}}if(p.rfix){this.addText(l,q+p.c);d.createShift(l,p.rfix/1000);return""}if(s[2]||!this.msieAccentBug||q.length){return q+p.c}d.createShift(l,s[3]/1000);d.createShift(l,(s[4]-s[3])/1000);this.addText(l,p.c);d.createShift(l,-s[4]/1000);return""},handleImg:function(l,k,p,o,m){return m},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]]);r[q[o]].name=q[o]}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){if(l[s].length===5){l[s][5]={}}if(d.allowWebFonts&&!l.available){this.loadWebFont(l)}else{return l}}else{this.findBlock(l,s)}}return this.unknownChar(p,s)},unknownChar:function(k,m){var l=(k.defaultFont||{family:d.config.undefinedFamily});if(k.bold){l.weight="bold"}if(k.italic){l.style="italic"}if(!l[m]){l[m]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",m,k]);return l},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(l){var k=MathJax.Callback.Queue();k.Push(["Require",h,this.fontDir+"/"+l]);if(this.imgFonts){if(!MathJax.isPacked){l=l.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}k.Push(["Require",h,this.webfontDir+"/png/"+l])}b.RestartAfter(k.Push({}))},loadWebFont:function(k){k.available=k.isWebFont=true;if(d.FontFaceBug){k.family=k.name;if(d.msieFontCSSBug){k.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(k))},loadWebFontError:function(l,k){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");l.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);h.Require(this.directory+"/imageFonts.js",k)}else{this.allowWebFonts=false;k()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.type!="mrow"){o=this.HTMLhandleSize(o)}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o)}}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}if(this.HTMLlineBreaks(o)){o=this.HTMLmultiline(o)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){g.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(q,p,o,k){if(o==null){o=0}if(k==null){k=this.data.length}var n=q.bbox={exactW:true},r=[];while(o<k){var l=this.data[o];if(!l){continue}if(!p&&l.HTMLcanStretch("Vertical")){r.push(l);l=(l.CoreMO()||l)}this.HTMLcombineBBoxes(l,n);o++}this.HTMLcleanBBox(n);return r},HTMLcombineBBoxes:function(k,l){if(l.w==null){this.HTMLemptyBBox(l)}var n=(k.bbox?k:k.HTMLspanElement());if(!n||!n.bbox){return}var m=n.bbox;if(m.d>l.d){l.d=m.d}if(m.h>l.h){l.h=m.h}if(m.D!=null&&m.D>l.D){l.D=m.D}if(m.H!=null&&m.H>l.H){l.H=m.H}if(n.style.paddingLeft){l.w+=d.unEm(n.style.paddingLeft)*(n.scale||1)}if(l.w+m.lw<l.lw){l.lw=l.w+m.lw}if(l.w+m.rw>l.rw){l.rw=l.w+m.rw}l.w+=m.w;if(n.style.paddingRight){l.w+=d.unEm(n.style.paddingRight)*(n.scale||1)}if(m.width){l.width=m.width;l.minWidth=m.minWidth}if(m.ic){l.ic=m.ic}else{delete l.ic}if(l.exactW&&!m.exactW){delete l.exactW}},HTMLemptyBBox:function(k){k.h=k.d=k.H=k.D=k.rw=-d.BIGDIMEN;k.w=0;k.lw=d.BIGDIMEN;return k},HTMLcleanBBox:function(k){if(k.h===this.BIGDIMEN){k.h=k.d=k.H=k.D=k.w=k.rw=k.lw=0}if(k.D<=k.d){delete k.D}if(k.H<=k.h){delete k.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(l){if(this.isEmbellished()){var k=this.Core();if(k&&k!==this){return k.HTMLcanStretch(l)}}return false},HTMLstretchH:function(l,k){return this.HTMLspanElement()},HTMLstretchV:function(l,k,m){return this.HTMLspanElement()},HTMLnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},HTMLmeasureChild:function(l,k){if(this.data[l]){d.Measured(this.data[l].toHTML(k),k)}else{k.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(l,k){if(!this.data[l]){this.SetData(l,g.mrow())}return this.data[l].toHTML(k)},HTMLcreateSpan:function(k){if(this.spanID){var l=this.HTMLspanElement();if(l&&(l.parentNode===k||(l.parentNode||{}).parentNode===k)){while(l.firstChild){l.removeChild(l.firstChild)}l.bbox=this.HTMLzeroBBox();l.scale=1;l.isMultChar=l.HH=null;l.style.cssText="";return l}}if(this.href){k=d.addElement(k,"a",{href:this.href,isMathJax:true})}k=d.addElement(k,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){k.style.display="inline-block"}if(this["class"]){k.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}k.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;k.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){k.style.cssText=this.style;if(k.style.fontSize){this.mathsize=k.style.fontSize;k.style.fontSize=""}this.styles={border:d.getBorders(k),padding:d.getPadding(k)};if(this.styles.border){k.style.border=""}if(this.styles.padding){k.style.padding=""}}if(this.href){k.parentNode.bbox=k.bbox}return k},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(l,k,m){d.handleVariant(l,k,m)},HTMLhandleSize:function(k){if(!k.scale){k.scale=this.HTMLgetScale();if(k.scale!==1){k.style.fontSize=d.Percent(k.scale)}}return k},HTMLhandleDir:function(l){var k=this.Get("dir",true);if(k){l.dir=k}return l},HTMLhandleColor:function(w){var y=this.getValues("mathcolor","color");if(this.mathbackground){y.mathbackground=this.mathbackground}if(this.background){y.background=this.background}if(this.style&&w.style.backgroundColor){y.mathbackground=w.style.backgroundColor;w.style.backgroundColor="transparent"}var t=(this.styles||{}).border,v=(this.styles||{}).padding;if(y.color&&!this.mathcolor){y.mathcolor=y.color}if(y.background&&!this.mathbackground){y.mathbackground=y.background}if(y.mathcolor){w.style.color=y.mathcolor}if((y.mathbackground&&y.mathbackground!==g.COLOR.TRANSPARENT)||t||v){var A=w.bbox,z=(A.exact?0:1/d.em),u=0,s=0,m=w.style.paddingLeft,q=w.style.paddingRight;if(this.isToken){u=A.lw;s=A.rw-A.w}if(m!==""){u+=d.unEm(m)*(w.scale||1)}if(q!==""){s-=d.unEm(q)*(w.scale||1)}var l=(d.PaddingWidthBug||A.keepPadding||A.exactW?0:s-u);var o=Math.max(0,d.getW(w)+l);var x=A.h+A.d,k=-A.d,r=0,p=0;if(o>0){o+=2*z;u-=z}if(x>0){x+=2*z;k-=z}s=-o-u;if(t){s-=t.right;k-=t.bottom;r+=t.left;p+=t.right;A.h+=t.top;A.d+=t.bottom;A.w+=t.left+t.right;A.lw-=t.left;A.rw+=t.right}if(v){x+=v.top+v.bottom;o+=v.left+v.right;s-=v.right;k-=v.bottom;r+=v.left;p+=v.right;A.h+=v.top;A.d+=v.bottom;A.w+=v.left+v.right;A.lw-=v.left;A.rw+=v.right}if(p){w.style.paddingRight=d.Em(p)}var n=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:y.mathbackground,width:d.Em(o),height:d.Em(x),verticalAlign:d.Em(k),marginLeft:d.Em(u),marginRight:d.Em(s)}});d.setBorders(n,t);if(A.width){n.style.width=A.width;n.style.marginRight="-"+A.width}if(d.msieInlineBlockAlignBug){n.style.position="relative";n.style.width=n.style.height=0;n.style.verticalAlign=n.style.marginLeft=n.style.marginRight="";n.style.border=n.style.padding="";if(t&&d.msieBorderWidthBug){x+=t.top+t.bottom;o+=t.left+t.right}n.style.width=d.Em(r+z);d.placeBox(d.addElement(n,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(y.mathbackground||"transparent"),width:d.Em(o),height:d.Em(x)}}),u,A.h+z);d.setBorders(n.firstChild,t)}w.parentNode.insertBefore(n,w);if(d.msieColorPositionBug){w.style.position="relative"}return n}return null},HTMLremoveColor:function(){var k=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(k){k.parentNode.removeChild(k)}},HTMLhandleSpace:function(o){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.HTMLgetMu(o);m.lspace=Math.max(0,d.length2em(m.lspace,l));m.rspace=Math.max(0,d.length2em(m.rspace,l));var k=this,n=this.Parent();while(n&&n.isEmbellished()&&n.Core()===k){k=n;n=n.Parent();o=k.HTMLspanElement()}if(m.lspace){o.style.paddingLeft=d.Em(m.lspace)}if(m.rspace){o.style.paddingRight=d.Em(m.rspace)}}}else{var p=this.texSpacing();if(p!==""){p=d.length2em(p,this.HTMLgetScale())/(o.scale||1);if(o.style.paddingLeft){p+=d.unEm(o.style.paddingLeft)}o.style.paddingLeft=d.Em(p)}}},HTMLgetScale:function(){var m=1,k=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var l=this.HTMLspanElement();if(l.style.fontSize!=""){k.fontsize=l.style.fontSize}}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}m=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=d.length2em(this.Get("scriptminsize"));if(m<k.scriptminsize){m=k.scriptminsize}}if(this.isToken){m*=d.length2em(k.mathsize)}return m},HTMLgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},HTMLgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.style){var m=this.HTMLspanElement();if(!k.family&&m.style.fontFamily){k.family=m.style.fontFamily}if(!k.weight&&m.style.fontWeight){k.weight=m.style.fontWeight}if(!k.style&&m.style.fontStyle){k.style=m.style.fontStyle}}if(k.weight&&k.weight.match(/^\d+$/)){k.weight=(parseInt(k.weight)>600?"bold":"normal")}var l=k.mathvariant;if(this.variantForm){l="-"+d.fontInUse+"-variant"}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:k.family,style:k.style,weight:k.weight}}}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}if(!(l in d.FONTDATA.VARIANT)){l="normal"}return d.FONTDATA.VARIANT[l]}},{HTMLautoload:function(){var k=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(h.Require(k))},HTMLautoloadFile:function(k){var l=d.autoloadDir+"/"+k+".js";b.RestartAfter(h.Require(l))},HTMLstretchH:function(l,k){this.HTMLremoveColor();return this.toHTML(l,k)},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();return this.toHTML(l,k,m)}});g.chars.Augment({toHTML:function(n,m,l,o){var r=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.entity.Augment({toHTML:function(n,m,l,o){var r=this.toString().replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.mi.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}var q=this.data.join(""),p=o.bbox;if(p.skew&&q.length!==1){delete p.skew}if(p.rw>p.w&&q.length===1&&!n.noIC){p.ic=p.rw-p.w;d.createBlank(o,p.ic);p.w=p.rw}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mn.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mo.Augment({toHTML:function(u){u=this.HTMLhandleSize(this.HTMLcreateSpan(u));if(this.data.length==0){return u}else{u.bbox=null}var x=this.data.join("");var q=this.HTMLgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){q=d.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var v=this.CoreParent(),o=(v&&v.isa(g.msubsup)&&this!==v.data[v.base]),l=(o?this.HTMLremapChars:null);if(x.length===1&&v&&v.isa(g.munderover)&&this.CoreText(v.data[v.base]).length===1){var s=v.data[v.over],t=v.data[v.under];if(s&&this===s.CoreMO()&&v.Get("accent")){l=d.FONTDATA.REMAPACCENT}else{if(t&&this===t.CoreMO()&&v.Get("accentunder")){l=d.FONTDATA.REMAPACCENTUNDER}}}if(o&&x.match(/['`"\u00B4\u2032-\u2037\u2057]/)){q=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var r=0,n=this.data.length;r<n;r++){if(this.data[r]){this.data[r].toHTML(u,q,this.HTMLremap,l)}}if(!u.bbox){u.bbox=this.HTMLzeroBBox()}if(x.length!==1){delete u.bbox.skew}if(d.AccentBug&&u.bbox.w===0&&x.length===1&&u.firstChild){u.firstChild.nodeValue+=d.NBSP;d.createSpace(u,0,0,-u.offsetWidth/d.em)}if(w.largeop){var k=(u.bbox.h-u.bbox.d)/2-d.TeX.axis_height*u.scale;if(d.safariVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.lastChild.style.verticalAlign=d.Em(d.unEm(u.lastChild.style.verticalAlign||0)/d.em-k/u.scale)}else{if(d.konquerorVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.style.position="relative";u.lastChild.style.position="relative";u.lastChild.style.top=d.Em(k/u.scale)}else{u.style.verticalAlign=d.Em(-k/u.scale)}}u.bbox.h-=k;u.bbox.d+=k;if(u.bbox.rw>u.bbox.w){u.bbox.ic=u.bbox.rw-u.bbox.w;d.createBlank(u,u.bbox.ic);u.bbox.w=u.bbox.rw}}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);this.HTMLhandleDir(u);return u},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while((k.isa(g.mrow)||k.isa(g.TeXAtom)||k.isa(g.mstyle)||k.isa(g.mphantom))&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},HTMLcanStretch:function(n){if(!this.Get("stretchy")){return false}var o=this.data.join("");if(o.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var m=l.data[l.over],k=l.data[l.under];if(m&&this===m.CoreMO()&&l.Get("accent")){o=d.FONTDATA.REMAPACCENT[o]||o}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER[o]||o}}}o=d.FONTDATA.DELIMITERS[o.charCodeAt(0)];return(o&&o.dir==n.substr(0,1))},HTMLstretchV:function(m,n,o){this.HTMLremoveColor();var r=this.getValues("symmetric","maxsize","minsize");var p=this.HTMLspanElement(),s=this.HTMLgetMu(p),q;var k=d.TeX.axis_height,l=p.scale;if(r.symmetric){q=2*Math.max(n-k,o+k)}else{q=n+o}r.maxsize=d.length2em(r.maxsize,s,p.bbox.h+p.bbox.d);r.minsize=d.length2em(r.minsize,s,p.bbox.h+p.bbox.d);q=Math.max(r.minsize,Math.min(r.maxsize,q));p=this.HTMLcreateSpan(m);d.createDelimiter(p,this.data.join("").charCodeAt(0),q,l);if(r.symmetric){q=(p.bbox.h+p.bbox.d)/2+k}else{q=(p.bbox.h+p.bbox.d)*n/(n+o)}d.positionDelimiter(p,q);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p},HTMLstretchH:function(o,k){this.HTMLremoveColor();var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}var n=this.HTMLspanElement(),l=this.HTMLgetMu(n),p=n.scale;m.maxsize=d.length2em(m.maxsize,l,n.bbox.w);m.minsize=d.length2em(m.minsize,l,n.bbox.w);k=Math.max(m.minsize,Math.min(m.maxsize,k));n=this.HTMLcreateSpan(o);d.createDelimiter(n,this.data.join("").charCodeAt(0),k,p,m.mathvariant);this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});g.mtext.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));var n=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){n={bold:n.bold,italic:n.italic,fontInherit:true}}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.merror.Augment({toHTML:function(l){var n=MathJax.HTML.addElement(l,"span",{style:{display:"inline-block"}});l=this.SUPER(arguments).toHTML.call(this,n);var m=d.getHD(n),k=d.getW(n);n.bbox={h:m.h,d:m.d,w:k,lw:0,rw:k,exactW:true};n.id=l.id;l.id=null;return n}});g.ms.Augment({toHTML:g.mbase.HTMLautoload});g.mglyph.Augment({toHTML:g.mbase.HTMLautoload});g.mspace.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);var m=this.getValues("height","depth","width");var l=this.HTMLgetMu(o);m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var n=d.length2em(m.height,l),p=d.length2em(m.depth,l),k=d.length2em(m.width,l);d.createSpace(o,n,p,k,m.mathbackground,true);return o}});g.mphantom.Augment({toHTML:function(o,l,q){o=this.HTMLcreateSpan(o);if(this.data[0]!=null){var p=this.data[0].toHTML(o);if(q!=null){d.Remeasured(this.data[0].HTMLstretchV(o,l,q),o)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(o,l),o)}else{p=d.Measured(p,o)}}o.bbox={w:p.bbox.w,h:p.bbox.h,d:p.bbox.d,lw:0,rw:0,exactW:true};for(var n=0,k=o.childNodes.length;n<k;n++){o.childNodes[n].style.visibility="hidden"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mpadded.Augment({toHTML:function(s,m,k){s=this.HTMLcreateSpan(s);if(this.data[0]!=null){var q=d.createStack(s,true);var n=d.createBox(q);var l=this.data[0].toHTML(n);if(k!=null){d.Remeasured(this.data[0].HTMLstretchV(n,m,k),n)}else{if(m!=null){d.Remeasured(this.data[0].HTMLstretchH(n,m),n)}else{d.Measured(l,n)}}var t=this.getValues("height","depth","width","lspace","voffset"),r=0,p=0,u=this.HTMLgetMu(s);if(t.lspace){r=this.HTMLlength2em(n,t.lspace,u)}if(t.voffset){p=this.HTMLlength2em(n,t.voffset,u)}d.placeBox(n,r,p);s.bbox={h:n.bbox.h,d:n.bbox.d,w:n.bbox.w,exactW:true,lw:Math.min(0,n.bbox.lw+r),rw:Math.max(n.bbox.w,n.bbox.rw+r),H:Math.max((n.bbox.H==null?-d.BIGDIMEN:n.bbox.H),n.bbox.h+p),D:Math.max((n.bbox.D==null?-d.BIGDIMEN:n.bbox.D),n.bbox.d-p)};if(t.height!==""){s.bbox.h=this.HTMLlength2em(n,t.height,u,"h",0)}if(t.depth!==""){s.bbox.d=this.HTMLlength2em(n,t.depth,u,"d",0)}if(t.width!==""){s.bbox.w=this.HTMLlength2em(n,t.width,u,"w",0)}if(s.bbox.H<=s.bbox.h){delete s.bbox.H}if(s.bbox.D<=s.bbox.d){delete s.bbox.D}var o=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;s.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||o.exec(t.height)||o.exec(t.width)||o.exec(t.depth));d.setStackWidth(q,s.bbox.w)}this.HTMLhandleSpace(s);this.HTMLhandleColor(s);return s},HTMLlength2em:function(q,r,l,s,k){if(k==null){k=-d.BIGDIMEN}var o=String(r).match(/width|height|depth/);var p=(o?q.bbox[o[0].charAt(0)]:(s?q.bbox[s]:0));var n=d.length2em(r,l,p);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,q.bbox[s]+n)}else{return n}},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mrow.Augment({HTMLlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&k.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(m,k){this.HTMLremoveColor();var l=this.HTMLspanElement();this.data[this.core].HTMLstretchH(l,k);this.HTMLcomputeBBox(l,true);this.HTMLhandleColor(l);return l},HTMLstretchV:function(m,l,n){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchV(k,l,n);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k}});g.mstyle.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mfrac.Augment({toHTML:function(D){D=this.HTMLcreateSpan(D);var m=d.createStack(D);var r=d.createBox(m),o=d.createBox(m);d.MeasureSpans([this.HTMLboxChild(0,r),this.HTMLboxChild(1,o)]);var k=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var I=this.HTMLgetScale(),C=k.displaystyle;var G=d.TeX.axis_height*I;if(k.bevelled){var F=(C?0.4:0.15);var s=Math.max(r.bbox.h+r.bbox.d,o.bbox.h+o.bbox.d)+2*F;var E=d.createBox(m);d.createDelimiter(E,47,s);d.placeBox(r,0,(r.bbox.d-r.bbox.h)/2+G+F);d.placeBox(E,r.bbox.w-F/2,(E.bbox.d-E.bbox.h)/2+G);d.placeBox(o,r.bbox.w+E.bbox.w-F,(o.bbox.d-o.bbox.h)/2+G-F)}else{var l=Math.max(r.bbox.w,o.bbox.w);var y=d.thickness2em(k.linethickness,I),A,z,x,w;var B=d.TeX.min_rule_thickness/this.em;if(C){x=d.TeX.num1;w=d.TeX.denom1}else{x=(y===0?d.TeX.num3:d.TeX.num2);w=d.TeX.denom2}x*=I;w*=I;if(y===0){A=Math.max((C?7:3)*d.TeX.rule_thickness,2*B);z=(x-r.bbox.d)-(o.bbox.h-w);if(z<A){x+=(A-z)/2;w+=(A-z)/2}}else{A=Math.max((C?2:0)*B+y,y/2+1.5*B);z=(x-r.bbox.d)-(G+y/2);if(z<A){x+=A-z}z=(G-y/2)-(o.bbox.h-w);if(z<A){w+=A-z}var n=d.createBox(m);d.createRule(n,y,0,l+2*y);d.placeBox(n,0,G-y/2)}d.alignBox(r,k.numalign,x);d.alignBox(o,k.denomalign,-w)}this.HTMLhandleSpace(D);this.HTMLhandleColor(D);return D},HTMLcanStretch:function(k){return false},HTMLhandleSpace:function(k){if(!this.texWithDelims){var l=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;k.style.paddingLeft=d.Em(l);k.style.paddingRight=d.Em(0.12)}}});g.msqrt.Augment({toHTML:function(w){w=this.HTMLcreateSpan(w);var z=d.createStack(w);var n=d.createBox(z),u=d.createBox(z),s=d.createBox(z);var r=this.HTMLgetScale();var A=d.TeX.rule_thickness*r,m,l,y,o;if(this.Get("displaystyle")){m=d.TeX.x_height*r}else{m=A}l=Math.max(A+m/4,1.5*d.TeX.min_rule_thickness/this.em);var k=this.HTMLboxChild(0,n);y=k.bbox.h+k.bbox.d+l+A;d.createDelimiter(s,8730,y,r);d.MeasureSpans([k,s]);o=k.bbox.w;var v=0;if(s.isMultiChar||(d.AdjustSurd&&d.imgFonts)){s.bbox.w*=0.95}if(s.bbox.h+s.bbox.d>y){l=((s.bbox.h+s.bbox.d)-(y-A))/2}var B=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!B||o<B.HW[0][0]*r||r<0.75){d.createRule(u,0,A,o)}else{d.createDelimiter(u,d.FONTDATA.RULECHAR,o,r)}y=k.bbox.h+l+A;l=y*d.rfuzz;if(s.isMultiChar){l=d.rfuzz}v=this.HTMLaddRoot(z,s,v,s.bbox.h+s.bbox.d-y,r);d.placeBox(s,v,y-s.bbox.h);d.placeBox(u,v+s.bbox.w,y-u.bbox.h+l);d.placeBox(n,v+s.bbox.w,0);this.HTMLhandleSpace(w);this.HTMLhandleColor(w);return w},HTMLaddRoot:function(m,l,k,o,n){return k}});g.mroot.Augment({toHTML:g.msqrt.prototype.toHTML,HTMLaddRoot:function(s,l,q,o,k){var m=d.createBox(s);if(this.data[1]){var p=this.data[1].toHTML(m);p.style.paddingRight=p.style.paddingLeft="";d.Measured(p,m)}else{m.bbox=this.HTMLzeroBBox()}var n=this.HTMLrootHeight(l.bbox.h+l.bbox.d,k,m)-o;var r=Math.min(m.bbox.w,m.bbox.rw);q=Math.max(r,l.offset);d.placeBox(m,q-r,n);return q-l.offset},HTMLrootHeight:function(m,l,k){return 0.45*(m-0.9*l)+0.6*l+Math.max(0,k.bbox.d-0.075)}});g.mfenced.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.data.open){this.data.open.toHTML(o)}if(this.data[0]!=null){this.data[0].toHTML(o)}for(var l=1,k=this.data.length;l<k;l++){if(this.data[l]){if(this.data["sep"+l]){this.data["sep"+l].toHTML(o)}this.data[l].toHTML(o)}}if(this.data.close){this.data.close.toHTML(o)}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLcomputeBBox:function(p,o){var l=p.bbox={},q=[];this.HTMLcheckStretchy(this.data.open,l,q,o);this.HTMLcheckStretchy(this.data[0],l,q,o);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.HTMLcheckStretchy(this.data["sep"+n],l,q,o);this.HTMLcheckStretchy(this.data[n],l,q,o)}}this.HTMLcheckStretchy(this.data.close,l,q,o);this.HTMLcleanBBox(l);return q},HTMLcheckStretchy:function(k,l,n,m){if(k){if(!m&&k.HTMLcanStretch("Vertical")){n.push(k);k=(k.CoreMO()||k)}this.HTMLcombineBBoxes(k,l)}}});g.menclose.Augment({toHTML:g.mbase.HTMLautoload});g.maction.Augment({toHTML:g.mbase.HTMLautoload});g.semantics.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.munderover.Augment({toHTML:function(L,H,F){var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toHTML.call(this,L)}L=this.HTMLcreateSpan(L);var P=this.HTMLgetScale();var q=d.createStack(L);var r=[],o=[],N=[],w,M,I;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M]=d.createBox(q);o[M]=this.data[M].toHTML(w);if(M==this.base){if(F!=null){this.data[this.base].HTMLstretchV(w,H,F)}else{if(H!=null){this.data[this.base].HTMLstretchH(w,H)}}N[M]=(F==null&&H!=null?false:this.data[M].HTMLcanStretch("Horizontal"))}else{N[M]=this.data[M].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(o);var n=-d.BIGDIMEN,K=n;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]){if(r[M].bbox.w>K){K=r[M].bbox.w}if(!N[M]&&K>n){n=K}}}if(F==null&&H!=null){n=H}else{if(n==-d.BIGDIMEN){n=K}}for(M=K=0,I=this.data.length;M<I;M++){if(this.data[M]){w=r[M];if(N[M]){w.bbox=this.data[M].HTMLstretchH(w,n).bbox}if(w.bbox.w>K){K=w.bbox.w}}}var E=d.TeX.rule_thickness,G=d.FONTDATA.TeX_factor;var p=r[this.base]||{bbox:this.HTMLzeroBBox()};var v,s,A,z,u,C,J,O=0;if(p.bbox.ic){O=1.3*p.bbox.ic+0.05}for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M];u=d.TeX.big_op_spacing5*P;var B=(M!=this.base&&l[this.ACCENTS[M]]);if(B&&w.bbox.w<=1/d.em+0.0001){w.bbox.w=w.bbox.rw-w.bbox.lw;w.bbox.noclip=true;if(w.bbox.lw){w.insertBefore(d.createSpace(w.parentNode,0,0,-w.bbox.lw),w.firstChild)}d.createBlank(w,0,0,w.bbox.rw+0.1)}C={left:0,center:(K-w.bbox.w)/2,right:K-w.bbox.w}[l.align];v=C;s=0;if(M==this.over){if(B){J=Math.max(E*P*G,2.5/this.em);u=0;if(p.bbox.skew){v+=p.bbox.skew}}else{A=d.TeX.big_op_spacing1*P*G;z=d.TeX.big_op_spacing3*P*G;J=Math.max(A,z-Math.max(0,w.bbox.d))}J=Math.max(J,1.5/this.em);v+=O/2;s=p.bbox.h+w.bbox.d+J;w.bbox.h+=u}else{if(M==this.under){if(B){J=3*E*P*G;u=0}else{A=d.TeX.big_op_spacing2*P*G;z=d.TeX.big_op_spacing4*P*G;J=Math.max(A,z-w.bbox.h)}J=Math.max(J,1.5/this.em);v-=O/2;s=-(p.bbox.d+w.bbox.h+J);w.bbox.d+=u}}d.placeBox(w,v,s)}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);return L},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.msubsup.Augment({toHTML:function(K,I,C){K=this.HTMLcreateSpan(K);var N=this.HTMLgetScale(),H=this.HTMLgetMu(K);var w=d.createStack(K),l,n=[];var o=d.createBox(w);if(this.data[this.base]){n.push(this.data[this.base].toHTML(o));if(C!=null){this.data[this.base].HTMLstretchV(o,I,C)}else{if(I!=null){this.data[this.base].HTMLstretchH(o,I)}}}else{o.bbox=this.HTMLzeroBBox()}var L=d.TeX.x_height*N,B=d.TeX.scriptspace*N*0.75;var k,x;if(this.HTMLnotEmpty(this.data[this.sup])){k=d.createBox(w);n.push(this.data[this.sup].toHTML(k))}if(this.HTMLnotEmpty(this.data[this.sub])){x=d.createBox(w);n.push(this.data[this.sub].toHTML(x))}d.MeasureSpans(n);if(k){k.bbox.w+=B;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}if(x){x.bbox.w+=B;x.bbox.rw=Math.max(x.bbox.w,x.bbox.rw)}d.placeBox(o,0,0);var m;if(k){m=this.data[this.sup].HTMLgetScale()}else{if(x){m=this.data[this.sub].HTMLgetScale()}else{m=this.HTMLgetScale()}}var F=d.TeX.sup_drop*m,E=d.TeX.sub_drop*m;var z=o.bbox.h-F,y=o.bbox.d+E,M=0,G;if(o.bbox.ic){o.bbox.w-=o.bbox.ic;M=1.3*o.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&o.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=y=0}}var J=this.getValues("subscriptshift","superscriptshift");J.subscriptshift=(J.subscriptshift===""?0:d.length2em(J.subscriptshift,H));J.superscriptshift=(J.superscriptshift===""?0:d.length2em(J.superscriptshift,H));if(!k){if(x){y=Math.max(y,d.TeX.sub1*N,x.bbox.h-(4/5)*L,J.subscriptshift);d.placeBox(x,o.bbox.w,-y,x.bbox)}}else{if(!x){l=this.getValues("displaystyle","texprimestyle");G=d.TeX[(l.displaystyle?"sup1":(l.texprimestyle?"sup3":"sup2"))];z=Math.max(z,G*N,k.bbox.d+(1/4)*L,J.superscriptshift);d.placeBox(k,o.bbox.w+M,z,k.bbox)}else{y=Math.max(y,d.TeX.sub2*N);var A=d.TeX.rule_thickness*N;if((z-k.bbox.d)-(x.bbox.h-y)<3*A){y=3*A-z+k.bbox.d+x.bbox.h;F=(4/5)*L-(z-k.bbox.d);if(F>0){z+=F;y-=F}}d.placeBox(k,o.bbox.w+M,Math.max(z,J.superscriptshift));d.placeBox(x,o.bbox.w,-Math.max(y,J.subscriptshift))}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mmultiscripts.Augment({toHTML:g.mbase.HTMLautoload});g.mtable.Augment({toHTML:g.mbase.HTMLautoload});g["annotation-xml"].Augment({toHTML:g.mbase.HTMLautoload});g.math.Augment({toHTML:function(u,l){var r=this.Get("alttext");if(r&&r!==""){l.setAttribute("aria-label",r)}var m=d.addElement(u,"nobr",{isMathJax:true});u=this.HTMLcreateSpan(m);var s=d.createStack(u),n=d.createBox(s),t;s.style.fontSize=m.parentNode.style.fontSize;m.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}g.mbase.prototype.displayAlign=b.config.displayAlign;g.mbase.prototype.displayIndent=b.config.displayIndent;var o=this.data[0].toHTML(n);o.bbox.exactW=false;t=d.Measured(o,n)}d.placeBox(n,0,0);u.style.width=d.Em((Math.round(t.bbox.w*this.em)+0.25)/d.outerEm);u.style.display="inline-block";var k=1/d.em,q=d.em/d.outerEm;d.em/=q;u.bbox.h*=q;u.bbox.d*=q;u.bbox.w*=q;u.bbox.lw*=q;u.bbox.rw*=q;if(t&&t.bbox.width!=null){u.style.minWidth=(t.bbox.minWidth||u.style.width);u.style.width=s.style.width=t.bbox.width;n.style.width="100%"}this.HTMLhandleColor(u);if(t){d.createRule(u,(t.bbox.h+k)*q,(t.bbox.d+k)*q,0)}if(!this.isMultiline&&this.Get("display")==="block"&&u.bbox.width==null){var v=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(v.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){v.indentalign=v.indentalignfirst}if(v.indentalign===g.INDENTALIGN.AUTO){v.indentalign=this.displayAlign}l.style.textAlign=v.indentalign;if(v.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){v.indentshift=v.indentshiftfirst}if(v.indentshift==="auto"){v.indentshift=this.displayIndent}if(v.indentshift&&v.indentalign!==g.INDENTALIGN.CENTER){u.style[{left:"marginLeft",right:"marginRight"}[v.indentalign]]=d.Em(d.length2em(v.indentshift))}}return u},HTMLspanElement:g.mbase.prototype.HTMLspanElement});g.TeXAtom.Augment({toHTML:function(l){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){if(this.texClass===g.TEXCLASS.VCENTER){var k=d.createStack(l);var m=d.createBox(k);d.Measured(this.data[0].toHTML(m),m);d.placeBox(m,0,d.TeX.axis_height-(m.bbox.h+m.bbox.d)/2+m.bbox.d)}else{l.bbox=this.data[0].toHTML(l).bbox}}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(k){var o=(document.documentMode||0);var n=k.versionAtLeast("7.0");var m=k.versionAtLeast("8.0")&&o>7;var l=(document.compatMode==="BackCompat");if(o<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:l,msieDisappearingBug:(o>=8),msieMarginScaleBug:(o<8),msiePaddingWidthBug:true,msieBorderWidthBug:l,msieFrameSizeBug:(o<=8),msieInlineBlockAlignBug:(!m||l),msiePlaceBoxBug:(m&&!l),msieClipRectBug:!m,msieNegativeSpaceBug:l,cloneNodeBug:(m&&k.version==="8.0"),initialSkipBug:(o<8),msieNegativeBBoxBug:(o>=8),msieIE6:!n,msieItalicWidthBug:true,FontFaceBug:true,msieFontCSSBug:k.isIE9,allowWebFonts:(o>=9?"woff":"eot")})},Firefox:function(l){var m=false;if(l.versionAtLeast("3.5")){var k=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,k.length)===k){m="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:m})},Safari:function(p){var n=p.versionAtLeast("3.0");var m=p.versionAtLeast("3.1");var k=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var l=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var q=(m&&p.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!p.versionAtLeast("5.0"))||(l!=null&&(l[1]<2||(l[1]==2&&l[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!m,safariTextNodeBug:!n,forceReflow:true,allowWebFonts:(m&&!q?"otf":false)});if(k){d.Augment({webFontDefault:(p.isMobile?"sans-serif":"serif")})}if(p.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(q){var o=b.config["HTML-CSS"];if(o){o.availableFonts=[];o.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(k){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(k.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(k){k.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:k.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(k.versionAtLeast("10.0")&&!k.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(k){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aJ=K.width.match(/%$/);var ay=b.createStack(t);var aG=this.HTMLgetScale(),aA=this.HTMLgetMu(t),aB=-1;var aq=[],au=[],ak=[],aw=[],av=[],af,ae,ap=-1,ad,ao,Z,aF,R,aC,aO=[];var al=b.FONTDATA.baselineskip*aG*K.useHeight,aT,I=b.FONTDATA.lineH*aG,O=b.FONTDATA.lineD*aG;for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);aw[af]=[];aq[af]=au[af]=0;for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){if(ak[ae]==null){if(ae>ap){ap=ae}av[ae]=b.createStack(b.createBox(ay));ak[ae]=-b.BIGDIMEN}aw[af][ae]=b.createBox(av[ae]);aO.push(aF.data[ae-Z].toHTML(aw[af][ae]))}}b.MeasureSpans(aO);for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){R=aF.data[ae-Z];if(R.isMultiline){aw[af][ae].style.width="100%"}if(R.isEmbellished()){aC=R.CoreMO();var aS=aC.Get("minsize",true);if(aS){var aL=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aT=aL.h+aL.d;if(aT){aS=b.length2em(aS,aA,aT);if(aS*aL.h/aT>aq[af]){aq[af]=aS*aL.h/aT}if(aS*aL.d/aT>au[af]){au[af]=aS*aL.d/aT}}}else{if(aC.HTMLcanStretch("Horizontal")){aS=b.length2em(aS,aA,aL.w);if(aS>ak[ae]){ak[ae]=aS}}}}}if(aw[af][ae].bbox.h>aq[af]){aq[af]=aw[af][ae].bbox.h}if(aw[af][ae].bbox.d>au[af]){au[af]=aw[af][ae].bbox.d}if(aw[af][ae].bbox.w>ak[ae]){ak[ae]=aw[af][ae].bbox.w}}}if(aq[0]+au[0]){aq[0]=Math.max(aq[0],I)}if(aq[aw.length-1]+au[aw.length-1]){au[aw.length-1]=Math.max(au[aw.length-1],O)}var aE=MathJax.Hub.SplitList;var az=aE(K.columnspacing),aQ=aE(K.rowspacing),e=aE(K.columnalign),E=aE(K.rowalign),d=aE(K.columnlines),z=aE(K.rowlines),aM=aE(K.columnwidth),V=[];for(af=0,ad=az.length;af<ad;af++){az[af]=b.length2em(az[af],aA)}for(af=0,ad=aQ.length;af<ad;af++){aQ[af]=b.length2em(aQ[af],aA)}while(az.length<ap){az.push(az[az.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aM.length<=ap){aM.push(aM[aM.length-1])}while(aQ.length<aw.length){aQ.push(aQ[aQ.length-1])}while(E.length<=aw.length){E.push(E[E.length-1])}while(z.length<aw.length){z.push(z[z.length-1])}if(av[aB]){e[aB]=(K.side.substr(0,1)==="l"?"left":"right");az[aB]=-ak[aB]}for(af=0,ad=aw.length;af<ad;af++){aF=this.data[af];V[af]=[];if(aF.rowalign){E[af]=aF.rowalign}if(aF.columnalign){V[af]=aE(aF.columnalign);while(V[af].length<=ap){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aD=Math.max.apply(Math,aq),X=Math.max.apply(Math,au);for(af=0,ad=aw.length;af<ad;af++){Z=((aD+X)-(aq[af]+au[af]))/2;aq[af]+=Z;au[af]+=Z}}aT=aq[0]+au[aw.length-1];for(af=0,ad=aw.length-1;af<ad;af++){aT+=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}var aI=0,aH=0,aV,g=aT;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aE(K.framespacing);if(w.length!=2){w=aE(this.defaults.framespacing)}aI=b.length2em(w[0],aA);aH=b.length2em(w[1],aA);g=aT+2*aH}var aj,aU,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=aw.length+1+ab}if(ab<1){ab=1}else{if(ab>aw.length){ab=aw.length}}aj=0;aU=-(aT+aH)+aq[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af]);aj+=N;aU+=N}}else{aj=({top:-(aq[0]+aH),bottom:aT+aH-aq[0],center:aT/2-aq[0],baseline:aT/2-aq[0],axis:aT/2+b.TeX.axis_height*aG-aq[0]})[K.align];aU=({top:-(aT+2*aH),bottom:0,center:-(aT/2+aH),baseline:-(aT/2+aH),axis:b.TeX.axis_height*aG-aT/2-aH})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,an=[],at=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aJ){ac=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){aM[af]=ac}ac=0;ag=1;ah=ap+1;for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac+=az[af]}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}ac/=ap+1;for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){if(aM[af]==="auto"){B+=ak[af]}else{if(aM[af]==="fit"){at[ah]=af;ah++;B+=ak[af]}else{if(aM[af].match(/%$/)){an[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aM[af],aA,1)}else{ak[af]=b.length2em(aM[af],aA);B+=ak[af]}}}}if(aJ){ac=0;for(af=0,ad=Math.min(ap,az.length);af<ad;af++){ac+=az[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}}for(af=0,ad=an.length;af<ad;af++){ak[an[af]]=b.length2em(aM[an[af]],aA,ac*S);B+=ak[an[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=at.length;af<ad;af++){ak[at[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ap;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ap;ae++){ak[ae]=Q}}}}var T=aj,o,r,aR;Z=(av[aB]?aB:0);for(ae=Z;ae<=ap;ae++){for(af=0,ad=aw.length;af<ad;af++){if(aw[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aB:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){aw[af][ae].bbox=R.HTMLstretchH(av[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aC=R.CoreMO();var aK=aC.symmetric;aC.symmetric=false;aw[af][ae].bbox=R.HTMLstretchV(av[ae],aq[af],au[af]).bbox;aw[af][ae].HH=null;aC.symmetric=aK}}aR=R.rowalign||this.data[af].rowalign||E[af];o=({top:aq[af]-aw[af][ae].bbox.h,bottom:aw[af][ae].bbox.d-au[af],center:((aq[af]-au[af])-(aw[af][ae].bbox.h-aw[af][ae].bbox.d))/2,baseline:0,axis:0})[aR]||0;aR=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(aw[af][ae],aR,T+o)}if(af<aw.length-1){T-=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}}T=aj}if(aJ){var G=b.createBox(ay);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aI);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ay.bbox}var aP=0,aW=aI,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ap+1);l=B/(ap+1)}for(ae=0;ae<=ap;ae++){b.placeBox(av[ae].parentNode,0,0);av[ae].style.position="relative";av[ae].style.left=b.Em(aW);av[ae].style.width="100%";av[ae].parentNode.parentNode.removeChild(av[ae].parentNode);var am=b.createBox(G);b.addBox(am,av[ae]);av[ae]=am;var h=am.style;h.display="inline-block";h.left=aP+"%";if(aM[ae].match(/%$/)){var u=parseFloat(aM[ae])*S;if(ah===0){h.width=(k+u)+"%";aP+=k+u;am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l);aW-=l}else{h.width=u+"%";aP+=u}}else{if(aM[ae]==="fit"||ah===0){h.width=k+"%";am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l-ak[ae]);aW+=ak[ae]-l;aP+=k}else{h.width=b.Em(ak[ae]);aW+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(am.firstChild,b.NBSP);am.firstChild.style.position="relative"}aW+=az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createBox(G);r.style.left=aP+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ay.bbox;b.placeBox(r,aW-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}else{var U=aI;for(ae=0;ae<=ap;ae++){if(!av[ae].bbox.width){b.setStackWidth(av[ae],ak[ae])}if(aM[ae]!=="auto"&&aM[ae]!=="fit"){av[ae].bbox.width=ak[ae];av[ae].bbox.isFixed=true}b.placeBox(av[ae].parentNode,U,0);U+=ak[ae]+az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}ay.bbox.d=-aU;ay.bbox.h=g+aU;b.setStackWidth(ay,ay.bbox.w+aI);aV=ay.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ay,g,0,aV,1.25/b.em,K.frame);b.addBox(ay,ai);b.placeBox(ai,0,aU,true);if(aJ){ai.style.width="100%"}}T=aj;for(af=0,ad=aw.length-1;af<ad;af++){o=Math.max(al,au[af]+aq[af+1]+aQ[af]);if(z[af]!=="none"){r=b.createRule(ay,1.25/b.em,0,aV);b.addBox(ay,r);r.bbox={h:1.25/b.em,d:0,w:aV,rw:aV,lw:0};b.placeBox(r,0,T-au[af]-(o-au[af]-aq[af+1])/2,true);if(z[af]==="dashed"||aJ){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aJ){r.style.width="100%"}}}T-=o}if(aJ){t.bbox.width=K.width;ay.style.width="100%"}if(av[aB]){var ax=ay.bbox.w,q;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift=this.displayIndent}var aN=b.createStack(t,false,"100%");b.addBox(aN,ay);b.alignBox(ay,ar.indentalign,0);if(ar.indentshift&&ar.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(ar.indentshift,aA);ax+=q;ay.style[ar.indentalign]=b.Em(q)}av[aB].parentNode.parentNode.removeChild(av[aB].parentNode);b.addBox(aN,av[aB]);b.alignBox(av[aB],e[aB],0);if(b.msieRelativeWidthBug){ay.style.top=av[aB].style.top=""}if(aJ){ay.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,aA);av[aB].style.marginRight=av[aB].style.marginLeft=b.Em(q);if(ar.indentalign===a.INDENTALIGN.CENTER){ax+=4*q+2*av[aB].bbox.w}else{if(ar.indentalign!==e[aB]){ax+=2*q+av[aB].bbox.w}}t.style.minWidth=t.bbox.minWidth=aN.style.minWidth=aN.bbox.minWidth=b.Em(ax)}if(!aJ){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aJ){if(!ai){ai=b.createFrame(ay,g,0,aV,0,"none");b.addBox(ay,ai);b.placeBox(ai,0,aU,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aI=K.width.match(/%$/);var ax=b.createStack(t);var aF=this.HTMLgetScale(),az=this.HTMLgetMu(t),aA=-1;var ap=[],at=[],ak=[],av=[],au=[],af,ae,ao=-1,ad,an,Z,aE,R,aB,aN=[],aS;var I=b.FONTDATA.lineH*aF*K.useHeight,O=b.FONTDATA.lineD*aF*K.useHeight;for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);av[af]=[];ap[af]=I;at[af]=O;for(ae=Z,an=aE.data.length+Z;ae<an;ae++){if(ak[ae]==null){if(ae>ao){ao=ae}au[ae]=b.createStack(b.createBox(ax));ak[ae]=-b.BIGDIMEN}av[af][ae]=b.createBox(au[ae]);aN.push(aE.data[ae-Z].toHTML(av[af][ae]))}}b.MeasureSpans(aN);for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);for(ae=Z,an=aE.data.length+Z;ae<an;ae++){R=aE.data[ae-Z];if(R.isMultiline){av[af][ae].style.width="100%"}if(R.isEmbellished()){aB=R.CoreMO();var aR=aB.Get("minsize",true);if(aR){var aK=aB.HTMLspanElement().bbox;if(aB.HTMLcanStretch("Vertical")){aS=aK.h+aK.d;if(aS){aR=b.length2em(aR,az,aS);if(aR*aK.h/aS>ap[af]){ap[af]=aR*aK.h/aS}if(aR*aK.d/aS>at[af]){at[af]=aR*aK.d/aS}}}else{if(aB.HTMLcanStretch("Horizontal")){aR=b.length2em(aR,az,aK.w);if(aR>ak[ae]){ak[ae]=aR}}}}}if(av[af][ae].bbox.h>ap[af]){ap[af]=av[af][ae].bbox.h}if(av[af][ae].bbox.d>at[af]){at[af]=av[af][ae].bbox.d}if(av[af][ae].bbox.w>ak[ae]){ak[ae]=av[af][ae].bbox.w}}}var aD=MathJax.Hub.SplitList;var ay=aD(K.columnspacing),aP=aD(K.rowspacing),e=aD(K.columnalign),E=aD(K.rowalign),d=aD(K.columnlines),z=aD(K.rowlines),aL=aD(K.columnwidth),V=[];for(af=0,ad=ay.length;af<ad;af++){ay[af]=b.length2em(ay[af],az)}for(af=0,ad=aP.length;af<ad;af++){aP[af]=b.length2em(aP[af],az)}while(ay.length<ao){ay.push(ay[ay.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aL.length<=ao){aL.push(aL[aL.length-1])}while(aP.length<av.length){aP.push(aP[aP.length-1])}while(E.length<=av.length){E.push(E[E.length-1])}while(z.length<av.length){z.push(z[z.length-1])}if(au[aA]){e[aA]=(K.side.substr(0,1)==="l"?"left":"right");ay[aA]=-ak[aA]}for(af=0,ad=av.length;af<ad;af++){aE=this.data[af];V[af]=[];if(aE.rowalign){E[af]=aE.rowalign}if(aE.columnalign){V[af]=aD(aE.columnalign);while(V[af].length<=ao){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aC=Math.max.apply(Math,ap),X=Math.max.apply(Math,at);for(af=0,ad=av.length;af<ad;af++){Z=((aC+X)-(ap[af]+at[af]))/2;ap[af]+=Z;at[af]+=Z}}aS=ap[0]+at[av.length-1];for(af=0,ad=av.length-1;af<ad;af++){aS+=Math.max(0,at[af]+ap[af+1]+aP[af])}var aH=0,aG=0,aU,g=aS;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aD(K.framespacing);if(w.length!=2){w=aD(this.defaults.framespacing)}aH=b.length2em(w[0],az);aG=b.length2em(w[1],az);g=aS+2*aG}var aj,aT,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=av.length+1+ab}if(ab<1){ab=1}else{if(ab>av.length){ab=av.length}}aj=0;aT=-(aS+aG)+ap[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max(0,at[af]+ap[af+1]+aP[af]);aj+=N;aT+=N}}else{aj=({top:-(ap[0]+aG),bottom:aS+aG-ap[0],center:aS/2-ap[0],baseline:aS/2-ap[0],axis:aS/2+b.TeX.axis_height*aF-ap[0]})[K.align];aT=({top:-(aS+2*aG),bottom:0,center:-(aS/2+aG),baseline:-(aS/2+aG),axis:b.TeX.axis_height*aF-aS/2-aG})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,am=[],ar=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aI){ac=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){aL[af]=ac}ac=0;ag=1;ah=ao+1;for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac+=ay[af]}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}ac/=ao+1;for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){if(aL[af]==="auto"){B+=ak[af]}else{if(aL[af]==="fit"){ar[ah]=af;ah++;B+=ak[af]}else{if(aL[af].match(/%$/)){am[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aL[af],az,1)}else{ak[af]=b.length2em(aL[af],az);B+=ak[af]}}}}if(aI){ac=0;for(af=0,ad=Math.min(ao,ay.length);af<ad;af++){ac+=ay[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}}for(af=0,ad=am.length;af<ad;af++){ak[am[af]]=b.length2em(aL[am[af]],az,ac*S);B+=ak[am[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=ar.length;af<ad;af++){ak[ar[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ao;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ao;ae++){ak[ae]=Q}}}}var T=aj,o,r,aQ;Z=(au[aA]?aA:0);for(ae=Z;ae<=ao;ae++){for(af=0,ad=av.length;af<ad;af++){if(av[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aA:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){av[af][ae].bbox=R.HTMLstretchH(au[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aB=R.CoreMO();var aJ=aB.symmetric;aB.symmetric=false;av[af][ae].bbox=R.HTMLstretchV(au[ae],ap[af],at[af]).bbox;av[af][ae].HH=null;if(av[af][ae].bbox.h>ap[af]){av[af][ae].bbox.H=av[af][ae].bbox.h;av[af][ae].bbox.h=ap[af]}if(av[af][ae].bbox.d>at[af]){av[af][ae].bbox.D=av[af][ae].bbox.d;av[af][ae].bbox.d=at[af]}aB.symmetric=aJ}}aQ=R.rowalign||this.data[af].rowalign||E[af];o=({top:ap[af]-av[af][ae].bbox.h,bottom:av[af][ae].bbox.d-at[af],center:((ap[af]-at[af])-(av[af][ae].bbox.h-av[af][ae].bbox.d))/2,baseline:0,axis:0})[aQ]||0;aQ=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(av[af][ae],aQ,T+o)}if(af<av.length-1){T-=Math.max(0,at[af]+ap[af+1]+aP[af])}}T=aj}if(aI){var G=b.createBox(ax);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aH);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ax.bbox}var aO=0,aV=aH,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ao+1);l=B/(ao+1)}for(ae=0;ae<=ao;ae++){b.placeBox(au[ae].parentNode,0,0);au[ae].style.position="relative";au[ae].style.left=b.Em(aV);au[ae].style.width="100%";au[ae].parentNode.parentNode.removeChild(au[ae].parentNode);var al=b.createBox(G);b.addBox(al,au[ae]);au[ae]=al;var h=al.style;h.display="inline-block";h.left=aO+"%";if(aL[ae].match(/%$/)){var u=parseFloat(aL[ae])*S;if(ah===0){h.width=(k+u)+"%";aO+=k+u;al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l);aV-=l}else{h.width=u+"%";aO+=u}}else{if(aL[ae]==="fit"||ah===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l-ak[ae]);aV+=ak[ae]-l;aO+=k}else{h.width=b.Em(ak[ae]);aV+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}aV+=ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createBox(G);r.style.left=aO+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ax.bbox;b.placeBox(r,aV-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}else{var U=aH;for(ae=0;ae<=ao;ae++){if(!au[ae].bbox.width){b.setStackWidth(au[ae],ak[ae])}if(aL[ae]!=="auto"&&aL[ae]!=="fit"){au[ae].bbox.width=ak[ae];au[ae].bbox.isFixed=true}b.placeBox(au[ae].parentNode,U,0);U+=ak[ae]+ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}ax.bbox.d=-aT;ax.bbox.h=g+aT;b.setStackWidth(ax,ax.bbox.w+aH);aU=ax.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ax,g,0,aU,1.25/b.em,K.frame);b.addBox(ax,ai);b.placeBox(ai,0,aT,true);if(aI){ai.style.width="100%"}}T=aj;for(af=0,ad=av.length-1;af<ad;af++){o=Math.max(0,at[af]+ap[af+1]+aP[af]);if(z[af]!=="none"){r=b.createRule(ax,1.25/b.em,0,aU);b.addBox(ax,r);r.bbox={h:1.25/b.em,d:0,w:aU,rw:aU,lw:0};b.placeBox(r,0,T-at[af]-(o-at[af]-ap[af+1])/2,true);if(z[af]==="dashed"||aI){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aI){r.style.width="100%"}}}T-=o}if(aI){t.bbox.width=K.width;ax.style.width="100%"}if(au[aA]){var aw=ax.bbox.w,q;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift=this.displayIndent}var aM=b.createStack(t,false,"100%");b.addBox(aM,ax);b.alignBox(ax,aq.indentalign,0);if(aq.indentshift&&aq.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(aq.indentshift,az);aw+=q;ax.style[aq.indentalign]=b.Em(q)}au[aA].parentNode.parentNode.removeChild(au[aA].parentNode);b.addBox(aM,au[aA]);b.alignBox(au[aA],e[aA],0);if(b.msieRelativeWidthBug){ax.style.top=au[aA].style.top=""}if(aI){ax.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,az);au[aA].style.marginRight=au[aA].style.marginLeft=b.Em(q);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*q+2*au[aA].bbox.w}else{if(aq.indentalign!==e[aA]){aw+=2*q+au[aA].bbox.w}}t.style.minWidth=t.bbox.minWidth=aM.style.minWidth=aM.bbox.minWidth=b.Em(aw)}if(!aI){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aI){if(!ai){ai=b.createFrame(ax,g,0,aU,0,"none");b.addBox(ax,ai);b.placeBox(ai,0,aT,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js");
diff --git a/config/TeX-AMS_HTML.js b/config/TeX-AMS_HTML.js
index 47e35c112..b2b2155d1 100644
--- a/config/TeX-AMS_HTML.js
+++ b/config/TeX-AMS_HTML.js
@@ -30,17 +30,17 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML.js");
diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
index 7e0e0ffa8..b69c03961 100644
--- a/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/config/TeX-MML-AM_HTMLorMML-full.js
@@ -43,28 +43,28 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.3",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.3",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.4-beta",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.4-beta",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(ag){var k;var aa=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(i){if(i.parent){i.parent.removeChild(i)}if(this.lastChild){this.lastChild.nextSibling=i}if(!this.firstChild){this.firstChild=i}this.childNodes.push(i);i.parent=this;this.lastChild=i;return i},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.childNodes[ak]=al;al.nextSibling=aj.nextSibling;aj.nextSibling=aj.parent=null;return aj},toString:function(){return"{"+this.childNodes.join("")+"}"}});var E=function(){k=MathJax.ElementJax.mml;var i=k.mbase.prototype.Init;k.mbase.Augment({firstChild:null,lastChild:null,nodeValue:"",nextSibling:null,Init:function(){var ai=i.apply(this,arguments)||this;ai.childNodes=ai.data;ai.nodeName=ai.type;return ai},appendChild:function(al){if(al.parent){al.parent.removeChild(al)}var aj=arguments;if(al.isa(aa)){aj=al.childNodes;al.data=al.childNodes=[];al.firstChild=al.lastChild=null}for(var ak=0,ai=aj.length;ak<ai;ak++){al=aj[ak];if(this.lastChild){this.lastChild.nextSibling=al}if(!this.firstChild){this.firstChild=al}this.Append(al);this.lastChild=al;this.nodeValue+=al.nodeValue}return al},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}this.nodeValue="";for(aj=0,ai=this.childNodes.length;aj<ai;aj++){this.nodeValue+=this.childNodes[aj].nodeValue}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.SetData(ak,al);al.nextSibling=aj.nextSibling;this.nodeValue="";for(ak=0,ai=this.childNodes.length;ak<ai;ak++){this.nodeValue+=this.childNodes[ak].nodeValue}aj.nextSibling=aj.parent=null;return aj},setAttribute:function(ai,aj){this[ai]=aj}})};var S={};var g={getElementById:true,createElementNS:function(ai,i){return k[i]()},createTextNode:function(i){return k.chars(i).With({nodeValue:i})},createDocumentFragment:function(){return aa()}};var O={appName:"MathJax"};var ac;var I="red";var ad="serif";var t=true;var C=true;var f=".";var q=g.createElementNS==null;function V(i){if(q){return g.createElement(i)}else{return g.createElementNS("http://www.w3.org/1999/xhtml",i)}}var J=[61237,8492,61238,61239,8496,8497,61240,8459,8464,61241,61242,8466,8499,61243,61244,61245,61246,8475,61247,61248,61249,61250,61251,61252,61253,61254];var N=[61277,61278,8493,61279,61280,61281,61282,8460,8465,61283,61284,61285,61286,61287,61288,61289,61290,8476,61291,61292,61293,61294,61295,61296,61297,8488];var D=[61324,61325,8450,61326,61327,61328,61329,8461,61330,61331,61332,61333,61334,8469,61335,8473,8474,8477,61336,61337,61338,61339,61340,61341,61342,8484];var d=0,H=1,X=2,m=3,b=4,l=5,a=6,P=7,Z=8,r=9,ab=10;var j={input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:H},af={input:"root",tag:"mroot",output:"root",tex:null,ttype:X},A={input:"frac",tag:"mfrac",output:"/",tex:null,ttype:X},Q={input:"/",tag:"mfrac",output:"/",tex:null,ttype:m},o={input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:X},s={input:"_",tag:"msub",output:"_",tex:null,ttype:m},h={input:"^",tag:"msup",output:"^",tex:null,ttype:m},ah={input:"text",tag:"mtext",output:"text",tex:null,ttype:ab},x={input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:ab},p={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:ab};var G=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:d},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:d},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:d},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:d},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:d},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:d},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:d},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:d},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:d},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:d},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:d},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:d},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:d},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:d},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:d},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:d},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:d},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:d},{input:"phi",tag:"mi",output:"\u03C6",tex:null,ttype:d},{input:"varphi",tag:"mi",output:"\u03D5",tex:null,ttype:d},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:d},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:d},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:d},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:d},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:d},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:d},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:d},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:d},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:d},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:d},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:d},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:d},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:d},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:d},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:d},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:d},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:d},{input:"**",tag:"mo",output:"\u22C6",tex:"star",ttype:d},{input:"//",tag:"mo",output:"/",tex:null,ttype:d},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:d},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:d},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:d},{input:"-:",tag:"mo",output:"\u00F7",tex:"divide",ttype:d},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:d},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:d},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:d},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:d},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:P},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:P},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:d},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:P},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:d},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:P},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:d},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:P},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:d},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:P},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:d},{input:":=",tag:"mo",output:":=",tex:null,ttype:d},{input:"lt",tag:"mo",output:"<",tex:null,ttype:d},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:d},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:d},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:d},{input:"geq",tag:"mo",output:"\u2265",tex:null,ttype:d},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:d},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:d},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:d},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:d},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:d},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:d},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:d},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:d},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:d},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:d},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:d},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:d},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:d},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:d},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:d},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:d},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:d},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:d},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:d},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:d},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:d},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:d},{input:"(",tag:"mo",output:"(",tex:null,ttype:b},{input:")",tag:"mo",output:")",tex:null,ttype:l},{input:"[",tag:"mo",output:"[",tex:null,ttype:b},{input:"]",tag:"mo",output:"]",tex:null,ttype:l},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:l},{input:"|",tag:"mo",output:"|",tex:null,ttype:r},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:l},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:l},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:l,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:d},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:Z},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:Z},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:Z},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:Z},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:d},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:d},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:d},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:d},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:d},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:d},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:d},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:d},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:d},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:d},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:d},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:d},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:d},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:d},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:d},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:d},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:d},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:d},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:d},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:d},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:d},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:d},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:d},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:d},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:d},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:d},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:d},{input:"f",tag:"mi",output:"f",tex:null,ttype:H,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:H,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:P},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:P},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:H,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:H,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:H,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:H,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:H,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:H,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:H,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:H,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:H,func:true},{input:"log",tag:"mo",output:"log",tex:null,ttype:H,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:H,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:H,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:d},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:d},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:H,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:H,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:d},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:d},{input:"min",tag:"mo",output:"min",tex:null,ttype:P},{input:"max",tag:"mo",output:"max",tex:null,ttype:P},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:d},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:d},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:d},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:d},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:d},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:d},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:d},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:d},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:d},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:d},j,af,A,Q,o,s,h,{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:H,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:H,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:H,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:H,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:H,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:H,acc:true},ah,x,p,{input:"bb",tag:"mstyle",atname:"fontweight",atval:"bold",output:"bb",tex:null,ttype:H},{input:"mathbf",tag:"mstyle",atname:"fontweight",atval:"bold",output:"mathbf",tex:null,ttype:H},{input:"sf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"sf",tex:null,ttype:H},{input:"mathsf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"mathsf",tex:null,ttype:H},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:H,codes:D},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:H,codes:D},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:H,codes:J},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:H,codes:J},{input:"tt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"tt",tex:null,ttype:H},{input:"mathtt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"mathtt",tex:null,ttype:H},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:H,codes:N},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:H,codes:N}];function W(ai,i){if(ai.input>i.input){return 1}else{return -1}}var U=[];function v(){var aj=[],ai;for(ai=0;ai<G.length;ai++){if(G[ai].tex){aj[aj.length]={input:G[ai].tex,tag:G[ai].tag,output:G[ai].output,ttype:G[ai].ttype}}}G=G.concat(aj);G.sort(W);for(ai=0;ai<G.length;ai++){U[ai]=G[ai].input}}var Y="http://www.w3.org/1998/Math/MathML";function R(i){if(q){return g.createElement("m:"+i)}else{return g.createElementNS(Y,i)}}function M(i,aj){if(q){var ai=g.createElement("m:"+i)}else{ai=g.createElementNS(Y,i)}ai.appendChild(aj);return ai}function B(i,ai){G=G.concat([{input:i,tag:"mo",output:ai,tex:null,ttype:Z}]);G.sort(W);for(ac=0;ac<G.length;ac++){U[ac]=G[ac].input}}function u(ak,al){var ai;if(ak.charAt(al)=="\\"&&ak.charAt(al+1)!="\\"&&ak.charAt(al+1)!=" "){ai=ak.slice(al+1)}else{ai=ak.slice(al)}for(var aj=0;aj<ai.length&&ai.charCodeAt(aj)<=32;aj=aj+1){}return ai.slice(aj)}function c(aj,am,an){if(an==0){var al,ai;an=-1;al=aj.length;while(an+1<al){ai=(an+al)>>1;if(aj[ai]<am){an=ai}else{al=ai}}return al}else{for(var ak=an;ak<aj.length&&aj[ak]<am;ak++){}}return ak}function n(ao){var ai=0;var aj=0;var al;var ar;var aq;var am="";var an=true;for(var ak=1;ak<=ao.length&&an;ak++){ar=ao.slice(0,ak);aj=ai;ai=c(U,ar,aj);if(ai<U.length&&ao.slice(0,U[ai].length)==U[ai]){am=U[ai];al=ai;ak=am.length}an=ai<U.length&&ao.slice(0,U[ai].length)>=U[ai]}y=F;if(am!=""){F=G[al].ttype;return G[al]}F=d;ai=1;ar=ao.slice(0,1);var ap=true;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}if(ar==f){ar=ao.slice(ai,ai+1);if("0"<=ar&&ar<="9"){ap=false;ai++;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}}}if((ap&&ai>1)||ai>2){ar=ao.slice(0,ai-1);aq="mn"}else{ai=2;ar=ao.slice(0,1);aq=(("A">ar||ar>"Z")&&("a">ar||ar>"z")?"mo":"mi")}if(ar=="-"&&y==m){F=m;return{input:ar,tag:aq,output:ar,ttype:H,func:true}}return{input:ar,tag:aq,output:ar,ttype:d}}function T(ai){var i;if(ai.nodeName=="mrow"){i=ai.firstChild.firstChild.nodeValue;if(i=="("||i=="["||i=="{"){ai.removeChild(ai.firstChild)}}if(ai.nodeName=="mrow"){i=ai.lastChild.firstChild.nodeValue;if(i==")"||i=="]"||i=="}"){ai.removeChild(ai.lastChild)}}}var K,y,F;function L(ao){var ak,aj,ar,am,aq,an=g.createDocumentFragment();ao=u(ao,0);ak=n(ao);if(ak==null||ak.ttype==l&&K>0){return[null,ao]}if(ak.ttype==Z){ao=ak.output+u(ao,ak.input.length);ak=n(ao)}switch(ak.ttype){case P:case d:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao];case b:K++;ao=u(ao,ak.input.length);ar=w(ao,true);K--;if(typeof ak.invisible=="boolean"&&ak.invisible){aj=M("mrow",ar[0])}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0])}return[aj,ar[1]];case ab:if(ak!=p){ao=u(ao,ak.input.length)}if(ao.charAt(0)=="{"){am=ao.indexOf("}")}else{if(ao.charAt(0)=="("){am=ao.indexOf(")")}else{if(ao.charAt(0)=="["){am=ao.indexOf("]")}else{if(ak==p){am=ao.slice(1).indexOf('"')+1}else{am=0}}}}if(am==-1){am=ao.length}aq=ao.slice(1,am);if(aq.charAt(0)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}an.appendChild(M(ak.tag,g.createTextNode(aq)));if(aq.charAt(aq.length-1)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}ao=u(ao,am+1);return[M("mrow",an),ao];case H:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M(ak.tag,g.createTextNode(ak.output)),ao]}if(typeof ak.func=="boolean"&&ak.func){aq=ao.charAt(0);if(aq=="^"||aq=="_"||aq=="/"||aq=="|"||aq==","){return[M(ak.tag,g.createTextNode(ak.output)),ao]}else{aj=M("mrow",M(ak.tag,g.createTextNode(ak.output)));aj.appendChild(ar[0]);return[aj,ar[1]]}}T(ar[0]);if(ak.input=="sqrt"){return[M(ak.tag,ar[0]),ar[1]]}else{if(typeof ak.acc=="boolean"&&ak.acc){aj=M(ak.tag,ar[0]);aj.appendChild(M("mo",g.createTextNode(ak.output)));return[aj,ar[1]]}else{if(!q&&typeof ak.codes!="undefined"){for(am=0;am<ar[0].childNodes.length;am++){if(ar[0].childNodes[am].nodeName=="mi"||ar[0].nodeName=="mi"){aq=(ar[0].nodeName=="mi"?ar[0].firstChild.nodeValue:ar[0].childNodes[am].firstChild.nodeValue);var ap=[];for(var al=0;al<aq.length;al++){if(aq.charCodeAt(al)>64&&aq.charCodeAt(al)<91){ap=ap+String.fromCharCode(ak.codes[aq.charCodeAt(al)-65])}else{ap=ap+aq.charAt(al)}}if(ar[0].nodeName=="mi"){ar[0]=R("mo").appendChild(g.createTextNode(ap))}else{ar[0].replaceChild(R("mo").appendChild(g.createTextNode(ap)),ar[0].childNodes[am])}}}}aj=M(ak.tag,ar[0]);aj.setAttribute(ak.atname,ak.atval);return[aj,ar[1]]}}case X:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ar[0]);var ai=L(ar[1]);if(ai[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ai[0]);if(ak.input=="root"||ak.input=="stackrel"){an.appendChild(ai[0])}an.appendChild(ar[0]);if(ak.input=="frac"){an.appendChild(ai[0])}return[M(ak.tag,an),ai[1]];case m:ao=u(ao,ak.input.length);return[M("mo",g.createTextNode(ak.output)),ao];case a:ao=u(ao,ak.input.length);aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);an.appendChild(M(ak.tag,g.createTextNode(ak.output)));aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);return[M("mrow",an),ao];case r:K++;ao=u(ao,ak.input.length);ar=w(ao,false);K--;aq="";if(ar[0].lastChild!=null){aq=ar[0].lastChild.firstChild.nodeValue}if(aq=="|"){aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0]);return[aj,ar[1]]}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);return[aj,ao]}default:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao]}}function z(an){var al,ao,am,ak,i,aj;an=u(an,0);ao=n(an);i=L(an);ak=i[0];an=i[1];al=n(an);if(al.ttype==m&&al.input!="/"){an=u(an,al.input.length);i=L(an);if(i[0]==null){i[0]=M("mo",g.createTextNode("\u25A1"))}else{T(i[0])}an=i[1];if(al.input=="_"){am=n(an);aj=(ao.ttype==P);if(am.input=="^"){an=u(an,am.input.length);var ai=L(an);T(ai[0]);an=ai[1];ak=M((aj?"munderover":"msubsup"),ak);ak.appendChild(i[0]);ak.appendChild(ai[0]);ak=M("mrow",ak)}else{ak=M((aj?"munder":"msub"),ak);ak.appendChild(i[0])}}else{ak=M(al.tag,ak);ak.appendChild(i[0])}}return[ak,an]}function w(aq,ap){var av,ar,am,ay,an=g.createDocumentFragment();do{aq=u(aq,0);am=z(aq);ar=am[0];aq=am[1];av=n(aq);if(av.ttype==m&&av.input=="/"){aq=u(aq,av.input.length);am=z(aq);if(am[0]==null){am[0]=M("mo",g.createTextNode("\u25A1"))}else{T(am[0])}aq=am[1];T(ar);ar=M(av.tag,ar);ar.appendChild(am[0]);an.appendChild(ar);av=n(aq)}else{if(ar!=undefined){an.appendChild(ar)}}}while((av.ttype!=l&&(av.ttype!=r||ap)||K==0)&&av!=null&&av.output!="");if(av.ttype==l||av.ttype==r){var az=an.childNodes.length;if(az>0&&an.childNodes[az-1].nodeName=="mrow"&&az>1&&an.childNodes[az-2].nodeName=="mo"&&an.childNodes[az-2].firstChild.nodeValue==","){var aB=an.childNodes[az-1].lastChild.firstChild.nodeValue;if(aB==")"||aB=="]"){var aj=an.childNodes[az-1].firstChild.firstChild.nodeValue;if(aj=="("&&aB==")"&&av.output!="}"||aj=="["&&aB=="]"){var ak=[];var aw=true;var at=an.childNodes.length;for(ay=0;aw&&ay<at;ay=ay+2){ak[ay]=[];ar=an.childNodes[ay];if(aw){aw=ar.nodeName=="mrow"&&(ay==at-1||ar.nextSibling.nodeName=="mo"&&ar.nextSibling.firstChild.nodeValue==",")&&ar.firstChild.firstChild.nodeValue==aj&&ar.lastChild.firstChild.nodeValue==aB}if(aw){for(var ax=0;ax<ar.childNodes.length;ax++){if(ar.childNodes[ax].firstChild.nodeValue==","){ak[ay][ak[ay].length]=ax}}}if(aw&&ay>1){aw=ak[ay].length==ak[ay-2].length}}if(aw){var al,ai,ao,au,aA=g.createDocumentFragment();for(ay=0;ay<at;ay=ay+2){al=g.createDocumentFragment();ai=g.createDocumentFragment();ar=an.firstChild;ao=ar.childNodes.length;au=0;ar.removeChild(ar.firstChild);for(ax=1;ax<ao-1;ax++){if(typeof ak[ay][au]!="undefined"&&ax==ak[ay][au]){ar.removeChild(ar.firstChild);al.appendChild(M("mtd",ai));au++}else{ai.appendChild(ar.firstChild)}}al.appendChild(M("mtd",ai));if(an.childNodes.length>2){an.removeChild(an.firstChild);an.removeChild(an.firstChild)}aA.appendChild(M("mtr",al))}ar=M("mtable",aA);if(typeof av.invisible=="boolean"&&av.invisible){ar.setAttribute("columnalign","left")}an.replaceChild(ar,an.firstChild)}}}}aq=u(aq,av.input.length);if(typeof av.invisible!="boolean"||!av.invisible){ar=M("mo",g.createTextNode(av.output));an.appendChild(ar)}}return[an,aq]}function e(aj){var ai=R("mstyle");if(I!=""){ai.setAttribute("mathcolor",I)}if(t){ai.setAttribute("displaystyle","true")}if(ad!=""){ai.setAttribute("fontfamily",ad)}K=0;ai.appendChild(w(aj.replace(/^\s+/g,""),false)[0]);ai=M("math",ai);if(C){ai.setAttribute("title",aj.replace(/\s+/g," "))}if(ad!=""&&(q||ad!="serif")){var i=V("font");i.setAttribute("face",ad);i.appendChild(ai);return i}return ai}C=false;ad="";I="";(function(){for(var aj=0,ai=G.length;aj<ai;aj++){if(G[aj].codes){delete G[aj].codes}if(G[aj].func){G[aj].tag="mi"}if(G[aj].atname==="fontfamily"||G[aj].atname==="fontweight"){G[aj].atname="mathvariant"}}})();G.push({input:"gt",tag:"mo",output:">",tex:null,ttype:d},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:d},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:d},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:d},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:d},{input:"arcsin",tag:"mi",output:"arcsin",tex:null,ttype:H,func:true},{input:"arccos",tag:"mi",output:"arccos",tex:null,ttype:H,func:true},{input:"arctan",tag:"mi",output:"arctan",tex:null,ttype:H,func:true},{input:"coth",tag:"mi",output:"coth",tex:null,ttype:H,func:true},{input:"sech",tag:"mi",output:"sech",tex:null,ttype:H,func:true},{input:"csch",tag:"mi",output:"csch",tex:null,ttype:H,func:true},{input:"abs",tag:"mi",output:"abs",tex:null,ttype:H,func:true},{input:"exp",tag:"mi",output:"exp",tex:null,ttype:H,func:true},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:H,acc:true});ag.Augment({AM:{Init:function(){t=ag.config.displaystyle;f=(ag.config.decimal||ag.config.decimalsign);E();v()},Augment:function(i){for(var ai in i){if(i.hasOwnProperty(ai)){switch(ai){case"displaystyle":t=i[ai];break;case"decimal":decimal=i[ai];break;case"parseMath":e=i[ai];break;case"parseExpr":w=i[ai];break;case"parseIexpr":z=i[ai];break;case"parseSexpr":L=i[ai];break;case"removeBrackets":T=i[ai];break;case"getSymbol":n=i[ai];break;case"position":c=i[ai];break;case"removeCharsAndBlanks":u=i[ai];break;case"createMmlNode":M=i[ai];break;case"createElementMathML":R=i[ai];break;case"createElementXHTML":V=i[ai];break;case"initSymbols":v=i[ai];break;case"compareNames":comareNames=i[ai];break}this[ai]=i[ai]}}},parseMath:e,parseExpr:w,parseIexpr:z,parseSexr:L,removeBrackets:T,getSymbol:n,position:c,removeCharsAndBlanks:u,createMmlNode:M,createElementMathML:R,createElementXHTML:V,initSymbols:v,compareNames:W,createDocumentFragment:aa,document:g,define:B,symbols:G,names:U,TOKEN:{CONST:d,UNARY:H,BINARY:X,INFIX:m,LEFTBRACKET:b,RIGHTBRACKET:l,SPACE:a,UNDEROVER:P,DEFINITION:Z,LEFTRIGHT:r,TEXT:ab}}});var ae=[S,O];ae=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};this.prefilterHooks.Execute(g);f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline"},"div.MathJax_MathML":{display:"block"},".MathJax_mmlExBox":{display:"block",overflow:"hidden",height:"1px",width:"60ex",padding:0,border:0,margin:0}}},settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!i){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(i){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame"),n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.style.width=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(p){var t=this.defaults;var v=(this.attrNames||f.copyAttributeNames),r=f.skipAttributes;if(!this.attrNames){if(this.type==="mstyle"){t=f.math.prototype.defaults}for(var u in t){if(!r[u]&&t.hasOwnProperty(u)){if(this[u]!=null){p.setAttribute(u,this.NativeMMLattribute(this[u]))}}}}for(var q=0,o=v.length;q<o;q++){var s=(this.attr||{})[v[q]];if(s==null){s=this[v[q]]}if(s!=null){p.setAttribute(v[q],this.NativeMMLattribute(s))}}this.NativeMMLclass(p)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p)}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(i?document.createElement("m:"+o):document.createElementNS(l.MMLnamespace,o));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*3*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}})}f.math.Augment({toNativeMML:function(v){var x=this.NativeMMLelement(this.type),u=x,p;var t,r;l.adjustWidths=[];x.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(x);if(l.widthBug){x=x.appendChild(this.NativeMMLelement("mrow"))}for(t=0,r=this.data.length;t<r;t++){if(this.data[t]){this.data[t].toNativeMML(x)}else{x.appendChild(this.NativeMMLelement("mrow"))}}var s=((this.data[0]||[]).data[0]||{});if(s.nMMLhasLabels){if(s.nMMLforceWidth||!s.nMMLlaMatch){x.setAttribute("style","width:100%");v.style.width=v.parentNode.style.width="100%"}if(s.nMMLlaMatch){if(v.parentNode.parentNode.nodeName.toLowerCase()==="div"){v.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}v.appendChild(u);if(l.widthBug&&!(s.nMMLhasLabels&&(s.nMMLforceWidth||!s.nMMLlaMatch))){v.style.width=(u.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";p=c.getJaxFor(v);if(p){p.NativeMML.scrollWidth=u.firstChild.scrollWidth}}if(l.adjustWidths.length){var w=[];for(t=0,r=l.adjustWidths.length;t<r;t++){x=l.adjustWidths[t];var o=x.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){w.push(x.scrollWidth);var q=(x.scrollWidth/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");x.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(v)}if(p){p.NativeMML.mtds=w}u.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}base=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(base);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}base=o}q.appendChild(base);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,base)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.operaPositionBug=true;l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=true;l.widthBug=true;l.spaceWidthBug=!m.versionAtLeast("20.0");l.mtdWidthBug=true;l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(h,b,d){var g,i=b.Browser.isMobile;var e=function(){var k=[].slice.call(arguments,0);k[0][0]=["HTML-CSS",k[0][0]];return MathJax.Message.Set.apply(MathJax.Message,k)};var f=MathJax.Object.Subclass({timeout:(i?15:8)*1000,FontInfo:{STIX:{family:"STIXSizeOneSym",testString:"() {} []"},TeX:{family:"MathJax_Size1",testString:"() {} []"},"STIX-Web":{family:"STIXWeb_Size1",testString:"() {} []"},"Asana-Math":{family:"AsanaMath_Size1",testString:"() {} []"},"Gyre-Pagella":{family:"GyrePagella_Size1",testString:"() {} []"},"Gyre-Termes":{family:"GyreTermes_Size1",testString:"() {} []"},"Latin-Modern":{family:"LatinModern_Size1",testString:"() {} []"},"Neo-Euler":{family:"NeoEuler_Size1",testString:"() {} []"}},comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]);this.text=this.div.firstChild},findFont:function(o,l){if(l&&this.testCollection(l)){return l}for(var n=0,k=o.length;n<k;n++){if(o[n]===l){continue}if(this.testCollection(o[n])){return o[n]}}return null},testCollection:function(k){return this.testFont(this.FontInfo[k])},testFont:function(n){if(n.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(n.weight||"normal");this.div.style.fontStyle=(n.style||"normal")}var l=this.getComparisonWidths(n.testString,n.noStyleChar);if(l){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[0];if(this.div.offsetWidth==l[0]){this.div.style.fontFamily="'"+n.family+"',"+this.comparisonFont[l[2]];if(this.div.offsetWidth==l[1]){return false}}if(this.div.offsetWidth!=l[3]||this.div.offsetHeight!=l[4]){if(n.noStyleChar||!d.FONTDATA||!d.FONTDATA.hasStyleChar){return true}for(var o=0,k=this.testSize.length;o<k;o++){if(this.testStyleChar(n,this.testSize[o])){return true}}}}return false},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(m,p){var s=3+(m.weight?2:0)+(m.style?4:0);var l="",o=0;var r=this.div.style.fontSize;this.div.style.fontSize=p;if(d.msieItalicWidthBug&&m.style==="italic"){this.text.nodeValue=l=this.compChar;o=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+l}else{this.text.nodeValue=this.compChar+l}var k=this.div.offsetWidth-o;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+l}else{this.text.nodeValue=this.styleChar+l}var q=Math.floor((this.div.offsetWidth-o)/k+0.5);if(q===s){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+l}else{this.text.nodeValue=this.versionChar+l}m.version=Math.floor((this.div.offsetWidth-o)/k+1.5)/2}this.div.style.fontSize=r;return(q===s)},getComparisonWidths:function(p,n){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!n){p+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=p}else{this.text.nodeValue=p}this.div.style.fontFamily=this.comparisonFont[0];var l=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var r=this.div.offsetWidth,o=this.div.offsetHeight;for(var q=1,k=this.comparisonFont.length;q<k;q++){this.div.style.fontFamily=this.comparisonFont[q];if(this.div.offsetWidth!=l){return[l,this.div.offsetWidth,q,r,o]}}return null},loadWebFont:function(l){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+l.directory);var o=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+l.directory]);var k=MathJax.Callback({});var m=MathJax.Callback(["loadComplete",this,l,o,k]);h.timer.start(h,[this.checkWebFont,l,m],0,this.timeout);return k},loadComplete:function(m,p,l,k){MathJax.Message.Clear(p);if(k===h.STATUS.OK){this.webFontLoaded=true;l();return}this.loadError(m);if(b.Browser.isFirefox&&d.allowWebFonts){var o=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){o+=":"+document.location.port}o+="/";if(h.fileURL(d.webfontDir).substr(0,o.length)!==o){this.firefoxFontError(m)}}if(!this.webFontLoaded){d.loadWebFontError(m,l)}else{l()}},loadError:function(k){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+k.directory],null,2000);b.Startup.signal.Post(["HTML-CSS Jax - web font error",d.fontInUse+"/"+k.directory,k])},firefoxFontError:function(k){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(k,l,m){if(k.time(m)){return}if(d.Font.testFont(l)){m(k.STATUS.OK)}else{setTimeout(k,k.delay)}},fontFace:function(m){var n=d.allowWebFonts;var p=d.FONTDATA.FONTS[m];if(d.msieFontCSSBug&&!p.family.match(/-Web$/)){p.family+="-Web"}var l=h.fileURL(d.webfontDir+"/"+n);var k=m.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!k.match(/-/)){k+="-Regular"}if(n==="svg"){k+=".svg#"+k}else{k+="."+n}var o={"font-family":p.family,src:"url('"+l+"/"+k+"')"};if(n==="otf"){o.src+=" format('opentype')";l=h.fileURL(d.webfontDir+"/woff");o.src="url('"+l+"/"+k.replace(/otf$/,"woff")+"') format('woff'), "+o.src}else{if(n!=="eot"){o.src+=" format('"+n+"')"}}if(!(d.FontFaceBug&&p.isWebFont)){if(m.match(/-bold/)){o["font-weight"]="bold"}if(m.match(/-italic/)){o["font-style"]="italic"}}return o}});var j,a,c;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr",border:0,padding:0,margin:0},".MathJax_Display":{position:"relative",display:"block",width:"100%"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0 !important",padding:"0 !important",margin:"0 !important","vertical-align":"0 !important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},".MathJax nobr":{"white-space":"nowrap ! important"},".MathJax img":{display:"inline ! important","float":"none ! important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_ExBox":{display:"block",overflow:"hidden",width:"1px",height:"60ex"},".MathJax .MathJax_EmBox":{display:"block",overflow:"hidden",width:"1px",height:"60em"},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,hideProcessedMath:true,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var l=this.settings;if(this.adjustAvailableFonts){this.adjustAvailableFonts(this.config.availableFonts)}if(l.scale){this.config.scale=l.scale}if(l.font&&l.font!=="Auto"){if(l.font==="TeXLocal"){this.config.availableFonts=["TeX"];this.config.preferredFont="TeX";this.config.webFont="TeX"}else{if(l.font==="TeXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="TeX"}else{if(l.font==="TeXimage"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont=""}else{if(l.font==="STIXlocal"){this.config.availableFonts=["STIX"];this.config.preferredFont="STIX";this.config.webFont="STIX-Web"}else{if(l.font==="STIXWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="STIX-Web"}else{if(l.font==="AsanaMathWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Asana-Math"}else{if(l.font==="GyrePagellaWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Pagella"}else{if(l.font==="GyreTermesWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Gyre-Termes"}else{if(l.font==="LatinModernWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Latin-Modern"}else{if(l.font==="NeoEulerWeb"){this.config.availableFonts=[];this.config.preferredFont="";this.config.webFont="Neo-Euler"}}}}}}}}}}}var k=this.Font.findFont(this.config.availableFonts,this.config.preferredFont);if(!k&&this.allowWebFonts){k=this.config.webFont;if(k){this.webFonts=true}}if(!k&&this.config.imageFont){k=this.config.imageFont;this.imgFonts=true}if(k){this.fontInUse=k;this.fontDir+="/"+k;this.webfontDir+="/"+k;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);this.fontInUse="generic";this.FONTDATA={TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{fonts:[]},"-largeOp":{fonts:[]},"-smallOp":{fonts:[]}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}};b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var l=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=l.offsetWidth/5;this.hiddenDiv.removeChild(l);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(k){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.EmExSpan=this.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["span",{className:"MathJax_ExBox"}],["span",{className:"MathJax"},[["span",{className:"MathJax_EmBox"}]]]]);this.linebreakSpan=this.Element("span",null,[["hr",{style:{width:"100%",size:1,padding:0,border:0,margin:0}}]]);return h.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(n){for(var l=0,k=n.length;l<k;l++){if(n[l]==="STIX"){n.splice(l,1);k--;l--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=n[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var l=0,k=d.config.preloadWebFonts.length;l<k;l++){var n=d.FONTDATA.FONTS[d.config.preloadWebFonts[l]];if(!n.available){d.Font.testFont(n)}}},InitializeHTML:function(){this.PreloadWebFonts();document.body.appendChild(this.EmExSpan);document.body.appendChild(this.linebreakSpan);this.defaultEx=this.EmExSpan.firstChild.offsetHeight/60;this.defaultEm=this.EmExSpan.lastChild.firstChild.offsetHeight/60;this.defaultWidth=this.linebreakSpan.firstChild.offsetWidth;document.body.removeChild(this.linebreakSpan);document.body.removeChild(this.EmExSpan)},preTranslate:function(o){var u=o.jax[this.id],v,r=u.length,z,t,A,n,y,l,x,q,s,k,w=false,B=this.config.linebreaks.automatic,p=this.config.linebreaks.width;if(B){w=(p.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(w){p=p.replace(/\s*container\s*/,"")}else{k=this.defaultWidth}if(p===""){p="100%"}}else{k=100000}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}t=z.previousSibling;if(t&&String(t.className).match(/^MathJax(_Display)?( MathJax_Processing)?$/)){t.parentNode.removeChild(t)}l=z.MathJax.elementJax;if(!l){continue}l.HTMLCSS={display:(l.root.Get("display")==="block")};A=n=this.Element("span",{className:"MathJax",id:l.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick});if(b.Browser.noContextMenu){A.ontouchstart=a.start;A.ontouchend=a.end}if(l.HTMLCSS.display){n=this.Element("div",{className:"MathJax_Display"});n.appendChild(A)}else{if(this.msieDisappearingBug){A.style.display="inline-block"}}n.setAttribute("role","textbox");n.setAttribute("aria-readonly","true");n.className+=" MathJax_Processing";z.parentNode.insertBefore(n,z);z.parentNode.insertBefore(this.EmExSpan.cloneNode(true),z);if(w){n.parentNode.insertBefore(this.linebreakSpan.cloneNode(true),n)}}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=z.previousSibling;n=y.previousSibling;l=z.MathJax.elementJax;if(!l){continue}x=y.firstChild.offsetHeight/60;q=y.lastChild.firstChild.offsetHeight/60;if(w){k=n.previousSibling.firstChild.offsetWidth}if(x===0||x==="NaN"){this.hiddenDiv.appendChild(n);l.HTMLCSS.isHidden=true;x=this.defaultEx;q=this.defaultEm;if(w){k=this.defaultWidth}}s=(this.config.matchFontHeight?x/this.TeX.x_height/q:1);s=Math.floor(Math.max(this.config.minScaleAdjust/100,s)*this.config.scale);l.HTMLCSS.scale=s/100;l.HTMLCSS.fontSize=s+"%";l.HTMLCSS.em=l.HTMLCSS.outerEm=q;this.em=q*s/100;l.HTMLCSS.ex=x;l.HTMLCSS.lineWidth=(B?this.length2em(p,1,k/this.em):1000000)}for(v=0;v<r;v++){z=u[v];if(!z.parentNode){continue}y=u[v].previousSibling;l=u[v].MathJax.elementJax;if(!l){continue}if(w){A=y.previousSibling;if(!l.HTMLCSS.isHidden){A=A.previousSibling}A.parentNode.removeChild(A)}y.parentNode.removeChild(y)}o.HTMLCSSeqn=o.HTMLCSSlast=0;o.HTMLCSSi=-1;o.HTMLCSSchunk=this.config.EqnChunk;o.HTMLCSSdelay=false},Translate:function(l,p){if(!l.parentNode){return}if(p.HTMLCSSdelay){p.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var k=l.MathJax.elementJax,o=k.root,m=document.getElementById(k.inputID+"-Frame"),q=(k.HTMLCSS.display?m.parentNode:m);this.em=g.mbase.prototype.em=k.HTMLCSS.em*k.HTMLCSS.scale;this.outerEm=k.HTMLCSS.em;this.scale=k.HTMLCSS.scale;this.linebreakWidth=k.HTMLCSS.lineWidth;if(this.scale!==1){m.style.fontSize=k.HTMLCSS.fontSize}this.initImg(m);this.initHTML(o,m);o.setTeXclass();try{o.toHTML(m,q)}catch(n){if(n.restart){while(m.firstChild){m.removeChild(m.firstChild)}}throw n}if(k.HTMLCSS.isHidden){l.parentNode.insertBefore(q,l)}q.className=q.className.split(/ /)[0];if(this.hideProcessedMath){q.className+=" MathJax_Processed";if(l.MathJax.preview){k.HTMLCSS.preview=l.MathJax.preview;delete l.MathJax.preview}p.HTMLCSSeqn+=(p.i-p.HTMLCSSi);p.HTMLCSSi=p.i;if(p.HTMLCSSeqn>=p.HTMLCSSlast+p.HTMLCSSchunk){this.postTranslate(p,true);p.HTMLCSSchunk=Math.floor(p.HTMLCSSchunk*this.config.EqnChunkFactor);p.HTMLCSSdelay=true}}},postTranslate:function(s,o){var l=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=s.HTMLCSSlast,k=s.HTMLCSSeqn;q<k;q++){var n=l[q];if(n&&n.MathJax.elementJax){n.previousSibling.className=n.previousSibling.className.split(/ /)[0];var r=n.MathJax.elementJax.HTMLCSS;if(r.preview){r.preview.innerHTML="";n.MathJax.preview=r.preview;delete r.preview}}}if(this.forceReflow){var p=(document.styleSheets||[])[0]||{};p.disabled=true;p.disabled=false}s.HTMLCSSlast=s.HTMLCSSeqn},getJaxFromMath:function(k){if(k.parentNode.className==="MathJax_Display"){k=k.parentNode}do{k=k.nextSibling}while(k&&k.nodeName.toLowerCase()!=="script");return b.getJaxFor(k)},getHoverSpan:function(k,l){return k.root.HTMLspanElement()},getHoverBBox:function(k,n,o){var p=n.bbox,m=k.HTMLCSS.outerEm;var l={w:p.w*m,h:p.h*m,d:p.d*m};if(p.width){l.width=p.width}return l},Zoom:function(l,v,u,k,s){v.className="MathJax";v.style.fontSize=l.HTMLCSS.fontSize;var x=v.appendChild(this.EmExSpan.cloneNode(true));var o=x.lastChild.firstChild.offsetHeight/60;this.em=g.mbase.prototype.em=o;this.outerEm=o/l.HTMLCSS.scale;x.parentNode.removeChild(x);this.idPostfix="-zoom";l.root.toHTML(v,v);this.idPostfix="";var n=l.root.HTMLspanElement().bbox.width;if(n){v.style.width=Math.floor(k-1.5*d.em)+"px";v.style.display="inline-block";var m=(l.root.id||"MathJax-Span-"+l.root.spanID)+"-zoom";var p=document.getElementById(m).firstChild;while(p&&p.style.width!==n){p=p.nextSibling}if(p){p.style.width="100%"}}v.style.position="absolute";if(!n){u.style.position="absolute"}var t=v.offsetWidth,r=v.offsetHeight,w=u.offsetHeight,q=u.offsetWidth;if(q===0){q=u.parentNode.offsetWidth}v.style.position=u.style.position="";return{Y:-j.getBBox(v).h,mW:q,mH:w,zW:t,zH:r}},initImg:function(k){},initHTML:function(l,k){},initFont:function(k){var m=d.FONTDATA.FONTS,l=d.config.availableFonts;if(l&&l.length&&d.Font.testFont(m[k])){m[k].available=true;return null}if(!this.allowWebFonts){return null}m[k].isWebFont=true;if(d.FontFaceBug){m[k].family=k;if(d.msieFontCSSBug){m[k].family+="-Web"}}return h.Styles({"@font-face":this.Font.fontFace(k)})},Remove:function(k){var l=document.getElementById(k.inputID+"-Frame");if(l){if(k.HTMLCSS.display){l=l.parentNode}l.parentNode.removeChild(l)}delete k.HTMLCSS},getHD:function(l){var k=l.style.position;l.style.position="absolute";this.HDimg.style.height="0px";l.appendChild(this.HDspan);var m={h:l.offsetHeight};this.HDimg.style.height=m.h+"px";m.d=l.offsetHeight-m.h;m.h-=m.d;m.h/=this.em;m.d/=this.em;l.removeChild(this.HDspan);l.style.position=k;return m},getW:function(o){var l,n,m=(o.bbox||{}).w,p=o;if(o.bbox&&o.bbox.exactW){return m}if((o.bbox&&m>=0&&!this.initialSkipBug)||this.negativeBBoxes||!o.firstChild){l=o.offsetWidth;n=o.parentNode.offsetHeight}else{if(o.bbox&&m<0&&this.msieNegativeBBoxBug){l=-o.offsetWidth,n=o.parentNode.offsetHeight}else{if(this.initialSkipBug){var k=o.style.position;o.style.position="absolute";p=this.startMarker;o.insertBefore(p,o.firstChild)}o.appendChild(this.endMarker);l=this.endMarker.offsetLeft-p.offsetLeft;o.removeChild(this.endMarker);if(this.initialSkipBug){o.removeChild(p);o.style.position=k}}}if(n!=null){o.parentNode.HH=n/this.em}return l/this.em},Measured:function(m,l){var n=m.bbox;if(n.width==null&&n.w&&!n.isMultiline){var k=this.getW(m);n.rw+=k-n.w;n.w=k;n.exactW=true}if(!l){l=m.parentNode}if(!l.bbox){l.bbox=n}return m},Remeasured:function(l,k){k.bbox=this.Measured(l,k).bbox},MeasureSpans:function(o){var r=[],t,q,n,u,k,p,l,s;for(q=0,n=o.length;q<n;q++){t=o[q];if(!t){continue}u=t.bbox;s=this.parentNode(t);if(u.exactW||u.width||u.w===0||u.isMultiline){if(!s.bbox){s.bbox=u}continue}if(this.negativeBBoxes||!t.firstChild||(u.w>=0&&!this.initialSkipBug)||(u.w<0&&this.msieNegativeBBoxBug)){r.push([t])}else{if(this.initialSkipBug){k=this.startMarker.cloneNode(true);p=this.endMarker.cloneNode(true);t.insertBefore(k,t.firstChild);t.appendChild(p);r.push([t,k,p,t.style.position]);t.style.position="absolute"}else{p=this.endMarker.cloneNode(true);t.appendChild(p);r.push([t,null,p])}}}for(q=0,n=r.length;q<n;q++){t=r[q][0];u=t.bbox;s=this.parentNode(t);if((u.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!t.firstChild){l=t.offsetWidth;s.HH=s.offsetHeight/this.em}else{if(u.w<0&&this.msieNegativeBBoxBug){l=-t.offsetWidth,s.HH=s.offsetHeight/this.em}else{l=r[q][2].offsetLeft-((r[q][1]||{}).offsetLeft||0)}}l/=this.em;u.rw+=l-u.w;u.w=l;u.exactW=true;if(!s.bbox){s.bbox=u}}for(q=0,n=r.length;q<n;q++){t=r[q];if(t[1]){t[1].parentNode.removeChild(t[1]),t[0].style.position=t[3]}if(t[2]){t[2].parentNode.removeChild(t[2])}}},Em:function(k){if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(k){k=(Math.round(k*d.em)+0.05)/d.em;if(Math.abs(k)<0.0006){return"0em"}return k.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(k){return parseFloat(k)},Px:function(k){k*=this.em;var l=(k<0?"-":"");return l+Math.abs(k).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(k){return parseFloat(k)/this.em},Percent:function(k){return(100*k).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(r,l,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===g.SIZE.NORMAL){return 1}if(r===g.SIZE.BIG){return 2}if(r===g.SIZE.SMALL){return 0.71}if(r==="infinity"){return d.BIGDIMEN}var o=this.FONTDATA.TeX_factor;if(r.match(/mathspace$/)){return d.MATHSPACE[r]*o}var n=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var k=parseFloat(n[1]||"1"),q=n[2];if(p==null){p=1}if(l==null){l=1}if(q==="em"){return k*o}if(q==="ex"){return k*d.TeX.x_height*o}if(q==="%"){return k/100*p}if(q==="px"){return k/d.em}if(q==="pt"){return k/10*o}if(q==="pc"){return k*1.2*o}if(q==="in"){return k*this.pxPerInch/d.em}if(q==="cm"){return k*this.pxPerInch/d.em/2.54}if(q==="mm"){return k*this.pxPerInch/d.em/25.4}if(q==="mu"){return k/18*o*l}return k*o*p},thickness2em:function(l,k){var m=d.TeX.rule_thickness;if(l===g.LINETHICKNESS.MEDIUM){return m}if(l===g.LINETHICKNESS.THIN){return 0.67*m}if(l===g.LINETHICKNESS.THICK){return 1.67*m}return this.length2em(l,k,m)},getPadding:function(l){var n={top:0,right:0,bottom:0,left:0},k=false;for(var o in n){if(n.hasOwnProperty(o)){var m=l.style["padding"+o.charAt(0).toUpperCase()+o.substr(1)];if(m){n[o]=this.length2em(m);k=true}}}return(k?n:false)},getBorders:function(p){var m={top:0,right:0,bottom:0,left:0},n={},l=false;for(var q in m){if(m.hasOwnProperty(q)){var k="border"+q.charAt(0).toUpperCase()+q.substr(1);var o=p.style[k+"Style"];if(o){l=true;m[q]=this.length2em(p.style[k+"Width"]);n[k]=[p.style[k+"Width"],p.style[k+"Style"],p.style[k+"Color"]].join(" ")}}}m.css=n;return(l?m:false)},setBorders:function(k,l){if(l){for(var m in l.css){if(l.css.hasOwnProperty(m)){k.style[m]=l.css[m]}}}},createStrut:function(m,l,n){var k=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:l+"px",width:"1px",marginRight:"-1px"}});if(n){m.insertBefore(k,m.firstChild)}else{m.appendChild(k)}return k},createBlank:function(l,k,m){var n=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(k)}});if(m){l.insertBefore(n,l.firstChild)}else{l.appendChild(n)}return n},createShift:function(l,k,n){var m=this.Element("span",{style:{marginLeft:this.Em(k)},isMathJax:true});if(n){l.insertBefore(m,l.firstChild)}else{l.appendChild(m)}return m},createSpace:function(p,n,o,q,m,s){if(n<-o){o=-n}var r=this.Em(n+o),k=this.Em(-o);if(this.msieInlineBlockAlignBug){k=this.Em(d.getHD(p.parentNode).d-o)}if(p.isBox||s){var l=(p.scale==null?1:p.scale);p.bbox={exactW:true,h:n*l,d:o*l,w:q*l,rw:q*l,lw:0};p.style.height=r;p.style.verticalAlign=k;p.HH=(n+o)*l}else{p=this.addElement(p,"span",{style:{height:r,verticalAlign:k},isMathJax:true})}if(q>=0){p.style.width=this.Em(q);p.style.display="inline-block";p.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){p.style.height=""}p.style.marginLeft=this.Em(q);if(d.safariNegativeSpaceBug&&p.parentNode.firstChild==p){this.createBlank(p,0,true)}}if(m&&m!==g.COLOR.TRANSPARENT){p.style.backgroundColor=m;p.style.position="relative"}return p},createRule:function(r,n,p,s,l){if(n<-p){p=-n}var m=d.TeX.min_rule_thickness,o=1;if(s>0&&s*this.em<m){s=m/this.em}if(n+p>0&&(n+p)*this.em<m){o=1/(n+p)*(m/this.em);n*=o;p*=o}if(!l){l="solid"}else{l="solid "+l}l=this.Em(s)+" "+l;var t=(o===1?this.Em(n+p):m+"px"),k=this.Em(-p);var q=this.addElement(r,"span",{style:{borderLeft:l,display:"inline-block",overflow:"hidden",width:0,height:t,verticalAlign:k},bbox:{h:n,d:p,w:s,rw:s,lw:0,exactW:true},noAdjust:true,HH:n+p,isMathJax:true});if(s>0&&q.offsetWidth==0){q.style.width=this.Em(s)}if(r.isBox||r.className=="mspace"){r.bbox=q.bbox,r.HH=n+p}return q},createFrame:function(s,q,r,u,x,l){if(q<-r){r=-q}var p=2*x;if(this.msieFrameSizeBug){if(u<p){u=p}if(q+r<p){q=p-r}}if(this.msieBorderWidthBug){p=0}var v=this.Em(q+r-p),k=this.Em(-r-x),o=this.Em(u-p);var m=this.Em(x)+" "+l;var n=this.addElement(s,"span",{style:{border:m,display:"inline-block",overflow:"hidden",width:o,height:v},bbox:{h:q,d:r,w:u,rw:u,lw:0,exactW:true},noAdjust:true,HH:q+r,isMathJax:true});if(k){n.style.verticalAlign=k}return n},parentNode:function(l){var k=l.parentNode;if(k.nodeName.toLowerCase()==="a"){k=k.parentNode}return k},createStack:function(m,o,l){if(this.msiePaddingWidthBug){this.createStrut(m,0)}var n=String(l).match(/%$/);var k=(!n&&l!=null?l:0);m=this.addElement(m,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(n?"100%":this.Em(k)),height:0}});if(!o){m.parentNode.bbox=m.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:k,lw:this.BIGDIMEN,rw:(!n&&l!=null?l:-this.BIGDIMEN)};if(n){m.bbox.width=l}}return m},createBox:function(l,k){var m=this.addElement(l,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(k!=null){m.style.width=k}return m},addBox:function(k,l){l.style.position="absolute";l.isBox=l.isMathJax=true;return k.appendChild(l)},placeBox:function(u,s,q,o){u.isMathJax=true;var v=d.parentNode(u),C=u.bbox,z=v.bbox;if(this.msiePlaceBoxBug){this.addText(u,this.NBSP)}if(this.imgSpaceBug){this.addText(u,this.imgSpace)}var w,F=0;if(u.HH!=null){w=u.HH}else{if(C){w=Math.max(3,C.h+C.d)}else{w=u.offsetHeight/this.em}}if(!u.noAdjust){w+=1;w=Math.round(w*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(u,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(w)}})}else{this.addElement(u,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(w)}});if(d.chromeHeightBug){w-=(u.lastChild.offsetHeight-Math.round(w*this.em))/this.em}}}if(C){if(this.initialSkipBug){if(C.lw<0){F=C.lw;d.createBlank(u,-F,true)}if(C.rw>C.w){d.createBlank(u,C.rw-C.w+0.1)}}if(!this.msieClipRectBug&&!C.noclip&&!o){var B=3/this.em;var A=(C.H==null?C.h:C.H),m=(C.D==null?C.d:C.D);var E=w-A-B,p=w+m+B,n=C.lw-3*B,k=1000;if(this.initialSkipBug&&C.lw<0){n=-3*B}if(C.isFixed){k=C.width-n}u.style.clip="rect("+this.Em(E)+" "+this.Em(k)+" "+this.Em(p)+" "+this.Em(n)+")"}}u.style.top=this.Em(-q-w);u.style.left=this.Em(s+F);if(C&&z){if(C.H!=null&&(z.H==null||C.H+q>z.H)){z.H=C.H+q}if(C.D!=null&&(z.D==null||C.D-q>z.D)){z.D=C.D-q}if(C.h+q>z.h){z.h=C.h+q}if(C.d-q>z.d){z.d=C.d-q}if(z.H!=null&&z.H<=z.h){delete z.H}if(z.D!=null&&z.D<=z.d){delete z.D}if(C.w+s>z.w){z.w=C.w+s;if(z.width==null){v.style.width=this.Em(z.w)}}if(C.rw+s>z.rw){z.rw=C.rw+s}if(C.lw+s<z.lw){z.lw=C.lw+s}if(C.width!=null&&!C.isFixed){if(z.width==null){v.style.width=z.width="100%";if(C.minWidth){v.style.minWidth=z.minWidth=C.minWidth}}u.style.width=C.width}}},alignBox:function(n,t,s){this.placeBox(n,0,s);var p=n.bbox;if(p.isMultiline){return}var m=p.width!=null&&!p.isFixed;var o=0,q=-p.w/2,k="50%";if(this.initialSkipBug){o=p.w-p.rw-0.1;q+=p.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(m){q="";k=(50-parseFloat(p.width)/2)+"%"}b.Insert(n.style,({right:{left:"",right:this.Em(o)},center:{left:k,marginLeft:q}})[t])},setStackWidth:function(l,k){if(typeof(k)==="number"){l.style.width=this.Em(Math.max(0,k));var m=l.bbox;if(m){m.w=k;m.exactW=true}m=l.parentNode.bbox;if(m){m.w=k;m.exactW=true}}else{l.style.width=l.parentNode.style.width="100%";if(l.bbox){l.bbox.width=k}if(l.parentNode.bbox){l.parentNode.bbox.width=k}}},createDelimiter:function(u,k,n,q,o){if(!k){u.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};u.bbox.rw=u.bbox.w;this.createSpace(u,u.bbox.h,u.bbox.d,u.bbox.w);return}if(!q){q=1}if(!(n instanceof Array)){n=[n,n]}var t=n[1];n=n[0];var l={alias:k};while(l.alias){k=l.alias;l=this.FONTDATA.DELIMITERS[k];if(!l){l={HW:[0,this.FONTDATA.VARIANT[g.VARIANT.NORMAL]]}}}if(l.load){b.RestartAfter(h.Require(this.fontDir+"/fontdata-"+l.load+".js"))}for(var s=0,p=l.HW.length;s<p;s++){if(l.HW[s][0]*q>=n-0.01||(s==p-1&&!l.stretch)){if(l.HW[s][2]){q*=l.HW[s][2]}if(l.HW[s][3]){k=l.HW[s][3]}var r=this.addElement(u,"span");this.createChar(r,[k,l.HW[s][1]],q,o);u.bbox=r.bbox;u.offset=0.65*u.bbox.w;u.scale=q;return}}if(l.stretch){this["extendDelimiter"+l.dir](u,t,l.stretch,q,o)}},extendDelimiterV:function(A,t,E,F,w){var o=this.createStack(A,true);var v=this.createBox(o),u=this.createBox(o);this.createChar(v,(E.top||E.ext),F,w);this.createChar(u,(E.bot||E.ext),F,w);var m={bbox:{w:0,lw:0,rw:0}},D=m,p;var B=v.bbox.h+v.bbox.d+u.bbox.h+u.bbox.d;var r=-v.bbox.h;this.placeBox(v,0,r,true);r-=v.bbox.d;if(E.mid){D=this.createBox(o);this.createChar(D,E.mid,F,w);B+=D.bbox.h+D.bbox.d}if(E.min&&t<B*E.min){t=B*E.min}if(t>B){m=this.Element("span");this.createChar(m,E.ext,F,w);var C=m.bbox.h+m.bbox.d,l=C-0.05,x,q,z=(E.mid?2:1);q=x=Math.min(Math.ceil((t-B)/(z*l)),this.maxStretchyParts);if(!E.fullExtenders){l=(t-B)/(z*x)}var s=(x/(x+1))*(C-l);l=C-s;r+=s+l-m.bbox.h;while(z-->0){while(x-->0){if(!this.msieCloneNodeBug){p=m.cloneNode(true)}else{p=this.Element("span");this.createChar(p,E.ext,F,w)}p.bbox=m.bbox;r-=l;this.placeBox(this.addBox(o,p),0,r,true)}r+=s-m.bbox.d;if(E.mid&&z){this.placeBox(D,0,r-D.bbox.h,true);x=q;r+=-(D.bbox.h+D.bbox.d)+s+l-m.bbox.h}}}else{r+=(B-t)/2;if(E.mid){this.placeBox(D,0,r-D.bbox.h,true);r+=-(D.bbox.h+D.bbox.d)}r+=(B-t)/2}this.placeBox(u,0,r-u.bbox.h,true);r-=u.bbox.h+u.bbox.d;A.bbox={w:Math.max(v.bbox.w,m.bbox.w,u.bbox.w,D.bbox.w),lw:Math.min(v.bbox.lw,m.bbox.lw,u.bbox.lw,D.bbox.lw),rw:Math.max(v.bbox.rw,m.bbox.rw,u.bbox.rw,D.bbox.rw),h:0,d:-r,exactW:true};A.scale=F;A.offset=0.55*A.bbox.w;A.isMultiChar=true;this.setStackWidth(o,A.bbox.w)},extendDelimiterH:function(B,o,E,G,y){var r=this.createStack(B,true);var p=this.createBox(r),C=this.createBox(r);this.createChar(p,(E.left||E.rep),G,y);this.createChar(C,(E.right||E.rep),G,y);var l=this.Element("span");this.createChar(l,E.rep,G,y);var D={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},m;this.placeBox(p,-p.bbox.lw,0,true);var u=(p.bbox.rw-p.bbox.lw)+(C.bbox.rw-C.bbox.lw)-0.05,t=p.bbox.rw-p.bbox.lw-0.025,v;if(E.mid){D=this.createBox(r);this.createChar(D,E.mid,G,y);u+=D.bbox.w}if(E.min&&o<u*E.min){o=u*E.min}if(o>u){var F=l.bbox.rw-l.bbox.lw,q=F-0.05,z,s,A=(E.mid?2:1);s=z=Math.min(Math.ceil((o-u)/(A*q)),this.maxStretchyParts);if(!E.fillExtenders){q=(o-u)/(A*z)}v=(z/(z+1))*(F-q);q=F-v;t-=l.bbox.lw+v;while(A-->0){while(z-->0){if(!this.cloneNodeBug){m=l.cloneNode(true)}else{m=this.Element("span");this.createChar(m,E.rep,G,y)}m.bbox=l.bbox;this.placeBox(this.addBox(r,m),t,0,true);t+=q}if(E.mid&&A){this.placeBox(D,t,0,true);t+=D.bbox.w-v;z=s}}}else{t-=(u-o)/2;if(E.mid){this.placeBox(D,t,0,true);t+=D.bbox.w}t-=(u-o)/2}this.placeBox(C,t,0,true);B.bbox={w:t+C.bbox.rw,lw:0,rw:t+C.bbox.rw,H:Math.max(p.bbox.h,l.bbox.h,C.bbox.h,D.bbox.h),D:Math.max(p.bbox.d,l.bbox.d,C.bbox.d,D.bbox.d),h:l.bbox.h,d:l.bbox.d,exactW:true};B.scale=G;B.isMultiChar=true;this.setStackWidth(r,B.bbox.w)},createChar:function(s,p,n,k){s.isMathJax=true;var r=s,t="",o={fonts:[p[1]],noRemap:true};if(k&&k===g.VARIANT.BOLD){o.fonts=[p[1]+"-bold",p[1]]}if(typeof(p[1])!=="string"){o=p[1]}if(p[0] instanceof Array){for(var q=0,l=p[0].length;q<l;q++){t+=String.fromCharCode(p[0][q])}}else{t=String.fromCharCode(p[0])}if(p[4]){n*=p[4]}if(n!==1||p[3]){r=this.addElement(s,"span",{style:{fontSize:this.Percent(n)},scale:n,isMathJax:true});this.handleVariant(r,o,t);s.bbox=r.bbox}else{this.handleVariant(s,o,t)}if(p[2]){s.style.marginLeft=this.Em(p[2])}if(p[3]){s.firstChild.style.verticalAlign=this.Em(p[3]);s.bbox.h+=p[3];if(s.bbox.h<0){s.bbox.h=0}}if(p[5]){s.bbox.h+=p[5]}if(p[6]){s.bbox.d+=p[6]}if(this.AccentBug&&s.bbox.w===0){r.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(l,k){k-=l.bbox.h;l.bbox.d-=k;l.bbox.h+=k;if(k){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&l.isMultiChar)){if(l.firstChild.style.display===""&&l.style.top!==""){l=l.firstChild;k-=d.unEm(l.style.top)}l.style.position="relative";l.style.top=this.Em(-k)}else{l.style.verticalAlign=this.Em(k);if(d.ffVerticalAlignBug){d.createRule(l.parentNode,l.bbox.h,0,0)}}}},handleVariant:function(A,p,s){var z="",x,C,t,D,k=A,l=!!A.style.fontFamily;if(s.length===0){return}if(!A.bbox){A.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!p){p=this.FONTDATA.VARIANT[g.VARIANT.NORMAL]}D=p;for(var B=0,y=s.length;B<y;B++){p=D;x=s.charCodeAt(B);C=s.charAt(B);if(x>=55296&&x<56319){B++;x=(((x-55296)<<10)+(s.charCodeAt(B)-56320))+65536;if(this.FONTDATA.RemapPlane1){var E=this.FONTDATA.RemapPlane1(x,p);x=E.n;p=E.variant}}else{var u,r,v=this.FONTDATA.RANGES;for(u=0,r=v.length;u<r;u++){if(v[u].name==="alpha"&&p.noLowerCase){continue}var q=p["offset"+v[u].offset];if(q&&x>=v[u].low&&x<=v[u].high){if(v[u].remap&&v[u].remap[x]){x=q+v[u].remap[x]}else{x=x-v[u].low+q;if(v[u].add){x+=v[u].add}}if(p["variant"+v[u].offset]){p=this.FONTDATA.VARIANT[p["variant"+v[u].offset]]}break}}}if(p.remap&&p.remap[x]){if(p.remap[x] instanceof Array){var o=p.remap[x];x=o[0];p=this.FONTDATA.VARIANT[o[1]]}else{if(typeof(p.remap[x])==="string"){s=p.remap[x]+s.substr(B+1);B=0;y=s.length;x=s.charCodeAt(0)}else{x=p.remap[x];if(p.remap.variant){p=this.FONTDATA.VARIANT[p.remap.variant]}}}}if(this.FONTDATA.REMAP[x]&&!p.noRemap){x=this.FONTDATA.REMAP[x];if(x instanceof Array){p=this.FONTDATA.VARIANT[x[1]];x=x[0]}if(typeof(x)==="string"){s=x+s.substr(B+1);B=0;y=s.length;x=x.charCodeAt(0)}}t=this.lookupChar(p,x);C=t[x];if(l||(!this.checkFont(t,k.style)&&!C[5].img)){if(z.length){this.addText(k,z);z=""}var w=!!k.style.fontFamily||!!A.style.fontStyle||!!A.style.fontWeight||!t.directory||l;l=false;if(k!==A){w=!this.checkFont(t,A.style);k=A}if(w){k=this.addElement(A,"span",{isMathJax:true,subSpan:true})}this.handleFont(k,t,k!==A)}z=this.handleChar(k,t,C,x,z);if(!(C[5]||{}).space){if(C[0]/1000>A.bbox.h){A.bbox.h=C[0]/1000}if(C[1]/1000>A.bbox.d){A.bbox.d=C[1]/1000}}if(A.bbox.w+C[3]/1000<A.bbox.lw){A.bbox.lw=A.bbox.w+C[3]/1000}if(A.bbox.w+C[4]/1000>A.bbox.rw){A.bbox.rw=A.bbox.w+C[4]/1000}A.bbox.w+=C[2]/1000}if(z.length){this.addText(k,z)}if(A.scale&&A.scale!==1){A.bbox.h*=A.scale;A.bbox.d*=A.scale;A.bbox.w*=A.scale;A.bbox.lw*=A.scale;A.bbox.rw*=A.scale}if(s.length==1&&t.skew&&t.skew[x]){A.bbox.skew=t.skew[x]}},checkFont:function(k,l){var m=(l.fontWeight||"normal");if(m.match(/^\d+$/)){m=(parseInt(m)>=600?"bold":"normal")}return(k.family.replace(/'/g,"")===l.fontFamily.replace(/'/g,"")&&(k.style||"normal")===(l.fontStyle||"normal")&&(k.weight||"normal")===m)},handleFont:function(m,k,o){m.style.fontFamily=k.family;if(!k.directory){m.style.fontSize=Math.floor(100/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&k.isWebFont)){var l=k.style||"normal",n=k.weight||"normal";if(l!=="normal"||o){m.style.fontStyle=l}if(n!=="normal"||o){m.style.fontWeight=n}}},handleChar:function(l,k,s,r,q){var p=s[5];if(p.space){if(q.length){this.addText(l,q)}d.createShift(l,s[2]/1000);return""}if(p.img){return this.handleImg(l,k,s,r,q)}if(p.isUnknown&&this.FONTDATA.DELIMITERS[r]){if(q.length){this.addText(l,q)}var o=l.scale;d.createDelimiter(l,r,0,1,k);if(this.FONTDATA.DELIMITERS[r].dir==="V"){l.style.verticalAlign=this.Em(l.bbox.d);l.bbox.h+=l.bbox.d;l.bbox.d=0}l.scale=o;s[0]=l.bbox.h*1000;s[1]=l.bbox.d*1000;s[2]=l.bbox.w*1000;s[3]=l.bbox.lw*1000;s[4]=l.bbox.rw*1000;return""}if(p.c==null){if(r<=65535){p.c=String.fromCharCode(r)}else{var m=r-65536;p.c=String.fromCharCode((m>>10)+55296)+String.fromCharCode((m&1023)+56320)}}if(p.rfix){this.addText(l,q+p.c);d.createShift(l,p.rfix/1000);return""}if(s[2]||!this.msieAccentBug||q.length){return q+p.c}d.createShift(l,s[3]/1000);d.createShift(l,(s[4]-s[3])/1000);this.addText(l,p.c);d.createShift(l,-s[4]/1000);return""},handleImg:function(l,k,p,o,m){return m},lookupChar:function(p,s){var o,k;if(!p.FONTS){var r=this.FONTDATA.FONTS;var q=(p.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(q instanceof Array)){q=[q]}if(p.fonts!=q){p.fonts=q}p.FONTS=[];for(o=0,k=q.length;o<k;o++){if(r[q[o]]){p.FONTS.push(r[q[o]]);r[q[o]].name=q[o]}}}for(o=0,k=p.FONTS.length;o<k;o++){var l=p.FONTS[o];if(typeof(l)==="string"){delete p.FONTS;this.loadFont(l)}if(l[s]){if(l[s].length===5){l[s][5]={}}if(d.allowWebFonts&&!l.available){this.loadWebFont(l)}else{return l}}else{this.findBlock(l,s)}}return this.unknownChar(p,s)},unknownChar:function(k,m){var l=(k.defaultFont||{family:d.config.undefinedFamily});if(k.bold){l.weight="bold"}if(k.italic){l.style="italic"}if(!l[m]){l[m]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",m,k]);return l},findBlock:function(l,q){if(l.Ranges){for(var p=0,k=l.Ranges.length;p<k;p++){if(q<l.Ranges[p][0]){return}if(q<=l.Ranges[p][1]){var o=l.Ranges[p][2];for(var n=l.Ranges.length-1;n>=0;n--){if(l.Ranges[n][2]==o){l.Ranges.splice(n,1)}}this.loadFont(l.directory+"/"+o+".js")}}}},loadFont:function(l){var k=MathJax.Callback.Queue();k.Push(["Require",h,this.fontDir+"/"+l]);if(this.imgFonts){if(!MathJax.isPacked){l=l.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}k.Push(["Require",h,this.webfontDir+"/png/"+l])}b.RestartAfter(k.Push({}))},loadWebFont:function(k){k.available=k.isWebFont=true;if(d.FontFaceBug){k.family=k.name;if(d.msieFontCSSBug){k.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(k))},loadWebFontError:function(l,k){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");l.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);h.Require(this.directory+"/imageFonts.js",k)}else{this.allowWebFonts=false;k()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.1,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){g=MathJax.ElementJax.mml;g.mbase.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.type!="mrow"){o=this.HTMLhandleSize(o)}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o)}}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}if(this.HTMLlineBreaks(o)){o=this.HTMLmultiline(o)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){g.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(q,p,o,k){if(o==null){o=0}if(k==null){k=this.data.length}var n=q.bbox={exactW:true},r=[];while(o<k){var l=this.data[o];if(!l){continue}if(!p&&l.HTMLcanStretch("Vertical")){r.push(l);l=(l.CoreMO()||l)}this.HTMLcombineBBoxes(l,n);o++}this.HTMLcleanBBox(n);return r},HTMLcombineBBoxes:function(k,l){if(l.w==null){this.HTMLemptyBBox(l)}var n=(k.bbox?k:k.HTMLspanElement());if(!n||!n.bbox){return}var m=n.bbox;if(m.d>l.d){l.d=m.d}if(m.h>l.h){l.h=m.h}if(m.D!=null&&m.D>l.D){l.D=m.D}if(m.H!=null&&m.H>l.H){l.H=m.H}if(n.style.paddingLeft){l.w+=d.unEm(n.style.paddingLeft)*(n.scale||1)}if(l.w+m.lw<l.lw){l.lw=l.w+m.lw}if(l.w+m.rw>l.rw){l.rw=l.w+m.rw}l.w+=m.w;if(n.style.paddingRight){l.w+=d.unEm(n.style.paddingRight)*(n.scale||1)}if(m.width){l.width=m.width;l.minWidth=m.minWidth}if(m.ic){l.ic=m.ic}else{delete l.ic}if(l.exactW&&!m.exactW){delete l.exactW}},HTMLemptyBBox:function(k){k.h=k.d=k.H=k.D=k.rw=-d.BIGDIMEN;k.w=0;k.lw=d.BIGDIMEN;return k},HTMLcleanBBox:function(k){if(k.h===this.BIGDIMEN){k.h=k.d=k.H=k.D=k.w=k.rw=k.lw=0}if(k.D<=k.d){delete k.D}if(k.H<=k.h){delete k.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(l){if(this.isEmbellished()){var k=this.Core();if(k&&k!==this){return k.HTMLcanStretch(l)}}return false},HTMLstretchH:function(l,k){return this.HTMLspanElement()},HTMLstretchV:function(l,k,m){return this.HTMLspanElement()},HTMLnotEmpty:function(k){while(k){if((k.type!=="mrow"&&k.type!=="texatom")||k.data.length>1){return true}k=k.data[0]}return false},HTMLmeasureChild:function(l,k){if(this.data[l]){d.Measured(this.data[l].toHTML(k),k)}else{k.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(l,k){if(!this.data[l]){this.SetData(l,g.mrow())}return this.data[l].toHTML(k)},HTMLcreateSpan:function(k){if(this.spanID){var l=this.HTMLspanElement();if(l&&(l.parentNode===k||(l.parentNode||{}).parentNode===k)){while(l.firstChild){l.removeChild(l.firstChild)}l.bbox=this.HTMLzeroBBox();l.scale=1;l.isMultChar=l.HH=null;l.style.cssText="";return l}}if(this.href){k=d.addElement(k,"a",{href:this.href,isMathJax:true})}k=d.addElement(k,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){k.style.display="inline-block"}if(this["class"]){k.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}k.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;k.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){k.style.cssText=this.style;if(k.style.fontSize){this.mathsize=k.style.fontSize;k.style.fontSize=""}this.styles={border:d.getBorders(k),padding:d.getPadding(k)};if(this.styles.border){k.style.border=""}if(this.styles.padding){k.style.padding=""}}if(this.href){k.parentNode.bbox=k.bbox}return k},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(l,k,m){d.handleVariant(l,k,m)},HTMLhandleSize:function(k){if(!k.scale){k.scale=this.HTMLgetScale();if(k.scale!==1){k.style.fontSize=d.Percent(k.scale)}}return k},HTMLhandleDir:function(l){var k=this.Get("dir",true);if(k){l.dir=k}return l},HTMLhandleColor:function(w){var y=this.getValues("mathcolor","color");if(this.mathbackground){y.mathbackground=this.mathbackground}if(this.background){y.background=this.background}if(this.style&&w.style.backgroundColor){y.mathbackground=w.style.backgroundColor;w.style.backgroundColor="transparent"}var t=(this.styles||{}).border,v=(this.styles||{}).padding;if(y.color&&!this.mathcolor){y.mathcolor=y.color}if(y.background&&!this.mathbackground){y.mathbackground=y.background}if(y.mathcolor){w.style.color=y.mathcolor}if((y.mathbackground&&y.mathbackground!==g.COLOR.TRANSPARENT)||t||v){var A=w.bbox,z=(A.exact?0:1/d.em),u=0,s=0,m=w.style.paddingLeft,q=w.style.paddingRight;if(this.isToken){u=A.lw;s=A.rw-A.w}if(m!==""){u+=d.unEm(m)*(w.scale||1)}if(q!==""){s-=d.unEm(q)*(w.scale||1)}var l=(d.PaddingWidthBug||A.keepPadding||A.exactW?0:s-u);var o=Math.max(0,d.getW(w)+l);var x=A.h+A.d,k=-A.d,r=0,p=0;if(o>0){o+=2*z;u-=z}if(x>0){x+=2*z;k-=z}s=-o-u;if(t){s-=t.right;k-=t.bottom;r+=t.left;p+=t.right;A.h+=t.top;A.d+=t.bottom;A.w+=t.left+t.right;A.lw-=t.left;A.rw+=t.right}if(v){x+=v.top+v.bottom;o+=v.left+v.right;s-=v.right;k-=v.bottom;r+=v.left;p+=v.right;A.h+=v.top;A.d+=v.bottom;A.w+=v.left+v.right;A.lw-=v.left;A.rw+=v.right}if(p){w.style.paddingRight=d.Em(p)}var n=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:y.mathbackground,width:d.Em(o),height:d.Em(x),verticalAlign:d.Em(k),marginLeft:d.Em(u),marginRight:d.Em(s)}});d.setBorders(n,t);if(A.width){n.style.width=A.width;n.style.marginRight="-"+A.width}if(d.msieInlineBlockAlignBug){n.style.position="relative";n.style.width=n.style.height=0;n.style.verticalAlign=n.style.marginLeft=n.style.marginRight="";n.style.border=n.style.padding="";if(t&&d.msieBorderWidthBug){x+=t.top+t.bottom;o+=t.left+t.right}n.style.width=d.Em(r+z);d.placeBox(d.addElement(n,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(y.mathbackground||"transparent"),width:d.Em(o),height:d.Em(x)}}),u,A.h+z);d.setBorders(n.firstChild,t)}w.parentNode.insertBefore(n,w);if(d.msieColorPositionBug){w.style.position="relative"}return n}return null},HTMLremoveColor:function(){var k=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(k){k.parentNode.removeChild(k)}},HTMLhandleSpace:function(o){if(this.useMMLspacing){if(this.type!=="mo"){return}var m=this.getValues("scriptlevel","lspace","rspace");if(m.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var l=this.HTMLgetMu(o);m.lspace=Math.max(0,d.length2em(m.lspace,l));m.rspace=Math.max(0,d.length2em(m.rspace,l));var k=this,n=this.Parent();while(n&&n.isEmbellished()&&n.Core()===k){k=n;n=n.Parent();o=k.HTMLspanElement()}if(m.lspace){o.style.paddingLeft=d.Em(m.lspace)}if(m.rspace){o.style.paddingRight=d.Em(m.rspace)}}}else{var p=this.texSpacing();if(p!==""){p=d.length2em(p,this.HTMLgetScale())/(o.scale||1);if(o.style.paddingLeft){p+=d.unEm(o.style.paddingLeft)}o.style.paddingLeft=d.Em(p)}}},HTMLgetScale:function(){var m=1,k=this.getValues("mathsize","scriptlevel","fontsize");if(this.style){var l=this.HTMLspanElement();if(l.style.fontSize!=""){k.fontsize=l.style.fontSize}}if(k.fontsize&&!this.mathsize){k.mathsize=k.fontsize}if(k.scriptlevel!==0){if(k.scriptlevel>2){k.scriptlevel=2}m=Math.pow(this.Get("scriptsizemultiplier"),k.scriptlevel);k.scriptminsize=d.length2em(this.Get("scriptminsize"));if(m<k.scriptminsize){m=k.scriptminsize}}if(this.isToken){m*=d.length2em(k.mathsize)}return m},HTMLgetMu:function(m){var k=1,l=this.getValues("scriptlevel","scriptsizemultiplier");if(m.scale&&m.scale!==1){k=1/m.scale}if(l.scriptlevel!==0){if(l.scriptlevel>2){l.scriptlevel=2}k=Math.sqrt(Math.pow(l.scriptsizemultiplier,l.scriptlevel))}return k},HTMLgetVariant:function(){var k=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");k.hasVariant=this.Get("mathvariant",true);if(!k.hasVariant){k.family=k.fontfamily;k.weight=k.fontweight;k.style=k.fontstyle}if(this.style){var m=this.HTMLspanElement();if(!k.family&&m.style.fontFamily){k.family=m.style.fontFamily}if(!k.weight&&m.style.fontWeight){k.weight=m.style.fontWeight}if(!k.style&&m.style.fontStyle){k.style=m.style.fontStyle}}if(k.weight&&k.weight.match(/^\d+$/)){k.weight=(parseInt(k.weight)>600?"bold":"normal")}var l=k.mathvariant;if(this.variantForm){l="-"+d.fontInUse+"-variant"}if(k.family&&!k.hasVariant){if(!k.weight&&k.mathvariant.match(/bold/)){k.weight="bold"}if(!k.style&&k.mathvariant.match(/italic/)){k.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:k.family,style:k.style,weight:k.weight}}}if(k.weight==="bold"){l={normal:g.VARIANT.BOLD,italic:g.VARIANT.BOLDITALIC,fraktur:g.VARIANT.BOLDFRAKTUR,script:g.VARIANT.BOLDSCRIPT,"sans-serif":g.VARIANT.BOLDSANSSERIF,"sans-serif-italic":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.weight==="normal"){l={bold:g.VARIANT.normal,"bold-italic":g.VARIANT.ITALIC,"bold-fraktur":g.VARIANT.FRAKTUR,"bold-script":g.VARIANT.SCRIPT,"bold-sans-serif":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.SANSSERIFITALIC}[l]||l}}if(k.style==="italic"){l={normal:g.VARIANT.ITALIC,bold:g.VARIANT.BOLDITALIC,"sans-serif":g.VARIANT.SANSSERIFITALIC,"bold-sans-serif":g.VARIANT.SANSSERIFBOLDITALIC}[l]||l}else{if(k.style==="normal"){l={italic:g.VARIANT.NORMAL,"bold-italic":g.VARIANT.BOLD,"sans-serif-italic":g.VARIANT.SANSSERIF,"sans-serif-bold-italic":g.VARIANT.BOLDSANSSERIF}[l]||l}}if(!(l in d.FONTDATA.VARIANT)){l="normal"}return d.FONTDATA.VARIANT[l]}},{HTMLautoload:function(){var k=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(h.Require(k))},HTMLautoloadFile:function(k){var l=d.autoloadDir+"/"+k+".js";b.RestartAfter(h.Require(l))},HTMLstretchH:function(l,k){this.HTMLremoveColor();return this.toHTML(l,k)},HTMLstretchV:function(l,k,m){this.HTMLremoveColor();return this.toHTML(l,k,m)}});g.chars.Augment({toHTML:function(n,m,l,o){var r=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.entity.Augment({toHTML:function(n,m,l,o){var r=this.toString().replace(/[\u2061-\u2064]/g,"");if(l){r=l(r,o)}if(m.fontInherit){var q=Math.floor(100/d.scale+0.5)+"%";d.addElement(n,"span",{style:{"font-size":q}},[r]);if(m.bold){n.lastChild.style.fontWeight="bold"}if(m.italic){n.lastChild.style.fontStyle="italic"}var p=d.getHD(n),k=d.getW(n);n.bbox={h:p.h,d:p.d,w:k,lw:0,rw:k,exactW:true}}else{this.HTMLhandleVariant(n,m,r)}}});g.mi.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}var q=this.data.join(""),p=o.bbox;if(p.skew&&q.length!==1){delete p.skew}if(p.rw>p.w&&q.length===1&&!n.noIC){p.ic=p.rw-p.w;d.createBlank(o,p.ic);p.w=p.rw}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mn.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));o.bbox=null;var n=this.HTMLgetVariant();for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.mo.Augment({toHTML:function(u){u=this.HTMLhandleSize(this.HTMLcreateSpan(u));if(this.data.length==0){return u}else{u.bbox=null}var x=this.data.join("");var q=this.HTMLgetVariant();var w=this.getValues("largeop","displaystyle");if(w.largeop){q=d.FONTDATA.VARIANT[w.displaystyle?"-largeOp":"-smallOp"]}var v=this.CoreParent(),o=(v&&v.isa(g.msubsup)&&this!==v.data[v.base]),l=(o?this.HTMLremapChars:null);if(x.length===1&&v&&v.isa(g.munderover)&&this.CoreText(v.data[v.base]).length===1){var s=v.data[v.over],t=v.data[v.under];if(s&&this===s.CoreMO()&&v.Get("accent")){l=d.FONTDATA.REMAPACCENT}else{if(t&&this===t.CoreMO()&&v.Get("accentunder")){l=d.FONTDATA.REMAPACCENTUNDER}}}if(o&&x.match(/['`"\u00B4\u2032-\u2037\u2057]/)){q=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var r=0,n=this.data.length;r<n;r++){if(this.data[r]){this.data[r].toHTML(u,q,this.HTMLremap,l)}}if(!u.bbox){u.bbox=this.HTMLzeroBBox()}if(x.length!==1){delete u.bbox.skew}if(d.AccentBug&&u.bbox.w===0&&x.length===1&&u.firstChild){u.firstChild.nodeValue+=d.NBSP;d.createSpace(u,0,0,-u.offsetWidth/d.em)}if(w.largeop){var k=(u.bbox.h-u.bbox.d)/2-d.TeX.axis_height*u.scale;if(d.safariVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.lastChild.style.verticalAlign=d.Em(d.unEm(u.lastChild.style.verticalAlign||0)/d.em-k/u.scale)}else{if(d.konquerorVerticalAlignBug&&u.lastChild.nodeName==="IMG"){u.style.position="relative";u.lastChild.style.position="relative";u.lastChild.style.top=d.Em(k/u.scale)}else{u.style.verticalAlign=d.Em(-k/u.scale)}}u.bbox.h-=k;u.bbox.d+=k;if(u.bbox.rw>u.bbox.w){u.bbox.ic=u.bbox.rw-u.bbox.w;d.createBlank(u,u.bbox.ic);u.bbox.w=u.bbox.rw}}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);this.HTMLhandleDir(u);return u},CoreParent:function(){var k=this;while(k&&k.isEmbellished()&&k.CoreMO()===this&&!k.isa(g.math)){k=k.Parent()}return k},CoreText:function(k){if(!k){return""}if(k.isEmbellished()){return k.CoreMO().data.join("")}while((k.isa(g.mrow)||k.isa(g.TeXAtom)||k.isa(g.mstyle)||k.isa(g.mphantom))&&k.data.length===1&&k.data[0]){k=k.data[0]}if(!k.isToken){return""}else{return k.data.join("")}},HTMLremapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},HTMLremap:function(l,k){l=l.replace(/-/g,"\u2212");if(k){l=l.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(l.length===1){l=k[l]||l}}return l},HTMLcanStretch:function(n){if(!this.Get("stretchy")){return false}var o=this.data.join("");if(o.length>1){return false}var l=this.CoreParent();if(l&&l.isa(g.munderover)&&this.CoreText(l.data[l.base]).length===1){var m=l.data[l.over],k=l.data[l.under];if(m&&this===m.CoreMO()&&l.Get("accent")){o=d.FONTDATA.REMAPACCENT[o]||o}else{if(k&&this===k.CoreMO()&&l.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER[o]||o}}}o=d.FONTDATA.DELIMITERS[o.charCodeAt(0)];return(o&&o.dir==n.substr(0,1))},HTMLstretchV:function(m,n,o){this.HTMLremoveColor();var r=this.getValues("symmetric","maxsize","minsize");var p=this.HTMLspanElement(),s=this.HTMLgetMu(p),q;var k=d.TeX.axis_height,l=p.scale;if(r.symmetric){q=2*Math.max(n-k,o+k)}else{q=n+o}r.maxsize=d.length2em(r.maxsize,s,p.bbox.h+p.bbox.d);r.minsize=d.length2em(r.minsize,s,p.bbox.h+p.bbox.d);q=Math.max(r.minsize,Math.min(r.maxsize,q));p=this.HTMLcreateSpan(m);d.createDelimiter(p,this.data.join("").charCodeAt(0),q,l);if(r.symmetric){q=(p.bbox.h+p.bbox.d)/2+k}else{q=(p.bbox.h+p.bbox.d)*n/(n+o)}d.positionDelimiter(p,q);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p},HTMLstretchH:function(o,k){this.HTMLremoveColor();var m=this.getValues("maxsize","minsize","mathvariant","fontweight");if((m.fontweight==="bold"||parseInt(m.fontweight)>=600)&&!this.Get("mathvariant",true)){m.mathvariant=g.VARIANT.BOLD}var n=this.HTMLspanElement(),l=this.HTMLgetMu(n),p=n.scale;m.maxsize=d.length2em(m.maxsize,l,n.bbox.w);m.minsize=d.length2em(m.minsize,l,n.bbox.w);k=Math.max(m.minsize,Math.min(m.maxsize,k));n=this.HTMLcreateSpan(o);d.createDelimiter(n,this.data.join("").charCodeAt(0),k,p,m.mathvariant);this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n}});g.mtext.Augment({toHTML:function(o){o=this.HTMLhandleSize(this.HTMLcreateSpan(o));var n=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){n={bold:n.bold,italic:n.italic,fontInherit:true}}for(var l=0,k=this.data.length;l<k;l++){if(this.data[l]){this.data[l].toHTML(o,n)}}if(!o.bbox){o.bbox=this.HTMLzeroBBox()}if(this.data.join("").length!==1){delete o.bbox.skew}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);this.HTMLhandleDir(o);return o}});g.merror.Augment({toHTML:function(l){var n=MathJax.HTML.addElement(l,"span",{style:{display:"inline-block"}});l=this.SUPER(arguments).toHTML.call(this,n);var m=d.getHD(n),k=d.getW(n);n.bbox={h:m.h,d:m.d,w:k,lw:0,rw:k,exactW:true};n.id=l.id;l.id=null;return n}});g.ms.Augment({toHTML:g.mbase.HTMLautoload});g.mglyph.Augment({toHTML:g.mbase.HTMLautoload});g.mspace.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);var m=this.getValues("height","depth","width");var l=this.HTMLgetMu(o);m.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){m.mathbackground=this.background}var n=d.length2em(m.height,l),p=d.length2em(m.depth,l),k=d.length2em(m.width,l);d.createSpace(o,n,p,k,m.mathbackground,true);return o}});g.mphantom.Augment({toHTML:function(o,l,q){o=this.HTMLcreateSpan(o);if(this.data[0]!=null){var p=this.data[0].toHTML(o);if(q!=null){d.Remeasured(this.data[0].HTMLstretchV(o,l,q),o)}else{if(l!=null){d.Remeasured(this.data[0].HTMLstretchH(o,l),o)}else{p=d.Measured(p,o)}}o.bbox={w:p.bbox.w,h:p.bbox.h,d:p.bbox.d,lw:0,rw:0,exactW:true};for(var n=0,k=o.childNodes.length;n<k;n++){o.childNodes[n].style.visibility="hidden"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mpadded.Augment({toHTML:function(s,m,k){s=this.HTMLcreateSpan(s);if(this.data[0]!=null){var q=d.createStack(s,true);var n=d.createBox(q);var l=this.data[0].toHTML(n);if(k!=null){d.Remeasured(this.data[0].HTMLstretchV(n,m,k),n)}else{if(m!=null){d.Remeasured(this.data[0].HTMLstretchH(n,m),n)}else{d.Measured(l,n)}}var t=this.getValues("height","depth","width","lspace","voffset"),r=0,p=0,u=this.HTMLgetMu(s);if(t.lspace){r=this.HTMLlength2em(n,t.lspace,u)}if(t.voffset){p=this.HTMLlength2em(n,t.voffset,u)}d.placeBox(n,r,p);s.bbox={h:n.bbox.h,d:n.bbox.d,w:n.bbox.w,exactW:true,lw:Math.min(0,n.bbox.lw+r),rw:Math.max(n.bbox.w,n.bbox.rw+r),H:Math.max((n.bbox.H==null?-d.BIGDIMEN:n.bbox.H),n.bbox.h+p),D:Math.max((n.bbox.D==null?-d.BIGDIMEN:n.bbox.D),n.bbox.d-p)};if(t.height!==""){s.bbox.h=this.HTMLlength2em(n,t.height,u,"h",0)}if(t.depth!==""){s.bbox.d=this.HTMLlength2em(n,t.depth,u,"d",0)}if(t.width!==""){s.bbox.w=this.HTMLlength2em(n,t.width,u,"w",0)}if(s.bbox.H<=s.bbox.h){delete s.bbox.H}if(s.bbox.D<=s.bbox.d){delete s.bbox.D}var o=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;s.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||o.exec(t.height)||o.exec(t.width)||o.exec(t.depth));d.setStackWidth(q,s.bbox.w)}this.HTMLhandleSpace(s);this.HTMLhandleColor(s);return s},HTMLlength2em:function(q,r,l,s,k){if(k==null){k=-d.BIGDIMEN}var o=String(r).match(/width|height|depth/);var p=(o?q.bbox[o[0].charAt(0)]:(s?q.bbox[s]:0));var n=d.length2em(r,l,p);if(s&&String(r).match(/^\s*[-+]/)){return Math.max(k,q.bbox[s]+n)}else{return n}},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mrow.Augment({HTMLlineBreaks:function(k){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&k.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(m,k){this.HTMLremoveColor();var l=this.HTMLspanElement();this.data[this.core].HTMLstretchH(l,k);this.HTMLcomputeBBox(l,true);this.HTMLhandleColor(l);return l},HTMLstretchV:function(m,l,n){this.HTMLremoveColor();var k=this.HTMLspanElement();this.data[this.core].HTMLstretchV(k,l,n);this.HTMLcomputeBBox(k,true);this.HTMLhandleColor(k);return k}});g.mstyle.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mfrac.Augment({toHTML:function(D){D=this.HTMLcreateSpan(D);var m=d.createStack(D);var r=d.createBox(m),o=d.createBox(m);d.MeasureSpans([this.HTMLboxChild(0,r),this.HTMLboxChild(1,o)]);var k=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var I=this.HTMLgetScale(),C=k.displaystyle;var G=d.TeX.axis_height*I;if(k.bevelled){var F=(C?0.4:0.15);var s=Math.max(r.bbox.h+r.bbox.d,o.bbox.h+o.bbox.d)+2*F;var E=d.createBox(m);d.createDelimiter(E,47,s);d.placeBox(r,0,(r.bbox.d-r.bbox.h)/2+G+F);d.placeBox(E,r.bbox.w-F/2,(E.bbox.d-E.bbox.h)/2+G);d.placeBox(o,r.bbox.w+E.bbox.w-F,(o.bbox.d-o.bbox.h)/2+G-F)}else{var l=Math.max(r.bbox.w,o.bbox.w);var y=d.thickness2em(k.linethickness,I),A,z,x,w;var B=d.TeX.min_rule_thickness/this.em;if(C){x=d.TeX.num1;w=d.TeX.denom1}else{x=(y===0?d.TeX.num3:d.TeX.num2);w=d.TeX.denom2}x*=I;w*=I;if(y===0){A=Math.max((C?7:3)*d.TeX.rule_thickness,2*B);z=(x-r.bbox.d)-(o.bbox.h-w);if(z<A){x+=(A-z)/2;w+=(A-z)/2}}else{A=Math.max((C?2:0)*B+y,y/2+1.5*B);z=(x-r.bbox.d)-(G+y/2);if(z<A){x+=A-z}z=(G-y/2)-(o.bbox.h-w);if(z<A){w+=A-z}var n=d.createBox(m);d.createRule(n,y,0,l+2*y);d.placeBox(n,0,G-y/2)}d.alignBox(r,k.numalign,x);d.alignBox(o,k.denomalign,-w)}this.HTMLhandleSpace(D);this.HTMLhandleColor(D);return D},HTMLcanStretch:function(k){return false},HTMLhandleSpace:function(k){if(!this.texWithDelims){var l=(this.useMMLspacing?0:d.length2em(this.texSpacing()||0))+0.12;k.style.paddingLeft=d.Em(l);k.style.paddingRight=d.Em(0.12)}}});g.msqrt.Augment({toHTML:function(w){w=this.HTMLcreateSpan(w);var z=d.createStack(w);var n=d.createBox(z),u=d.createBox(z),s=d.createBox(z);var r=this.HTMLgetScale();var A=d.TeX.rule_thickness*r,m,l,y,o;if(this.Get("displaystyle")){m=d.TeX.x_height*r}else{m=A}l=Math.max(A+m/4,1.5*d.TeX.min_rule_thickness/this.em);var k=this.HTMLboxChild(0,n);y=k.bbox.h+k.bbox.d+l+A;d.createDelimiter(s,8730,y,r);d.MeasureSpans([k,s]);o=k.bbox.w;var v=0;if(s.isMultiChar||(d.AdjustSurd&&d.imgFonts)){s.bbox.w*=0.95}if(s.bbox.h+s.bbox.d>y){l=((s.bbox.h+s.bbox.d)-(y-A))/2}var B=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!B||o<B.HW[0][0]*r||r<0.75){d.createRule(u,0,A,o)}else{d.createDelimiter(u,d.FONTDATA.RULECHAR,o,r)}y=k.bbox.h+l+A;l=y*d.rfuzz;if(s.isMultiChar){l=d.rfuzz}v=this.HTMLaddRoot(z,s,v,s.bbox.h+s.bbox.d-y,r);d.placeBox(s,v,y-s.bbox.h);d.placeBox(u,v+s.bbox.w,y-u.bbox.h+l);d.placeBox(n,v+s.bbox.w,0);this.HTMLhandleSpace(w);this.HTMLhandleColor(w);return w},HTMLaddRoot:function(m,l,k,o,n){return k}});g.mroot.Augment({toHTML:g.msqrt.prototype.toHTML,HTMLaddRoot:function(s,l,q,o,k){var m=d.createBox(s);if(this.data[1]){var p=this.data[1].toHTML(m);p.style.paddingRight=p.style.paddingLeft="";d.Measured(p,m)}else{m.bbox=this.HTMLzeroBBox()}var n=this.HTMLrootHeight(l.bbox.h+l.bbox.d,k,m)-o;var r=Math.min(m.bbox.w,m.bbox.rw);q=Math.max(r,l.offset);d.placeBox(m,q-r,n);return q-l.offset},HTMLrootHeight:function(m,l,k){return 0.45*(m-0.9*l)+0.6*l+Math.max(0,k.bbox.d-0.075)}});g.mfenced.Augment({toHTML:function(o){o=this.HTMLcreateSpan(o);if(this.data.open){this.data.open.toHTML(o)}if(this.data[0]!=null){this.data[0].toHTML(o)}for(var l=1,k=this.data.length;l<k;l++){if(this.data[l]){if(this.data["sep"+l]){this.data["sep"+l].toHTML(o)}this.data[l].toHTML(o)}}if(this.data.close){this.data.close.toHTML(o)}var q=this.HTMLcomputeBBox(o);var n=o.bbox.h,p=o.bbox.d;for(l=0,k=q.length;l<k;l++){q[l].HTMLstretchV(o,n,p)}if(q.length){this.HTMLcomputeBBox(o,true)}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);return o},HTMLcomputeBBox:function(p,o){var l=p.bbox={},q=[];this.HTMLcheckStretchy(this.data.open,l,q,o);this.HTMLcheckStretchy(this.data[0],l,q,o);for(var n=1,k=this.data.length;n<k;n++){if(this.data[n]){this.HTMLcheckStretchy(this.data["sep"+n],l,q,o);this.HTMLcheckStretchy(this.data[n],l,q,o)}}this.HTMLcheckStretchy(this.data.close,l,q,o);this.HTMLcleanBBox(l);return q},HTMLcheckStretchy:function(k,l,n,m){if(k){if(!m&&k.HTMLcanStretch("Vertical")){n.push(k);k=(k.CoreMO()||k)}this.HTMLcombineBBoxes(k,l)}}});g.menclose.Augment({toHTML:g.mbase.HTMLautoload});g.maction.Augment({toHTML:g.mbase.HTMLautoload});g.semantics.Augment({toHTML:function(l,k,m){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){var n=this.data[0].toHTML(l);if(m!=null){this.data[0].HTMLstretchV(l,k,m)}else{if(k!=null){this.data[0].HTMLstretchH(l,k)}}l.bbox=n.bbox}this.HTMLhandleSpace(l);return l},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.munderover.Augment({toHTML:function(L,H,F){var l=this.getValues("displaystyle","accent","accentunder","align");if(!l.displaystyle&&this.data[this.base]!=null&&this.data[this.base].CoreMO().Get("movablelimits")){return g.msubsup.prototype.toHTML.call(this,L)}L=this.HTMLcreateSpan(L);var P=this.HTMLgetScale();var q=d.createStack(L);var r=[],o=[],N=[],w,M,I;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M]=d.createBox(q);o[M]=this.data[M].toHTML(w);if(M==this.base){if(F!=null){this.data[this.base].HTMLstretchV(w,H,F)}else{if(H!=null){this.data[this.base].HTMLstretchH(w,H)}}N[M]=(F==null&&H!=null?false:this.data[M].HTMLcanStretch("Horizontal"))}else{N[M]=this.data[M].HTMLcanStretch("Horizontal")}}}d.MeasureSpans(o);var n=-d.BIGDIMEN,K=n;for(M=0,I=this.data.length;M<I;M++){if(this.data[M]){if(r[M].bbox.w>K){K=r[M].bbox.w}if(!N[M]&&K>n){n=K}}}if(F==null&&H!=null){n=H}else{if(n==-d.BIGDIMEN){n=K}}for(M=K=0,I=this.data.length;M<I;M++){if(this.data[M]){w=r[M];if(N[M]){w.bbox=this.data[M].HTMLstretchH(w,n).bbox}if(w.bbox.w>K){K=w.bbox.w}}}var E=d.TeX.rule_thickness,G=d.FONTDATA.TeX_factor;var p=r[this.base]||{bbox:this.HTMLzeroBBox()};var v,s,A,z,u,C,J,O=0;if(p.bbox.ic){O=1.3*p.bbox.ic+0.05}for(M=0,I=this.data.length;M<I;M++){if(this.data[M]!=null){w=r[M];u=d.TeX.big_op_spacing5*P;var B=(M!=this.base&&l[this.ACCENTS[M]]);if(B&&w.bbox.w<=1/d.em+0.0001){w.bbox.w=w.bbox.rw-w.bbox.lw;w.bbox.noclip=true;if(w.bbox.lw){w.insertBefore(d.createSpace(w.parentNode,0,0,-w.bbox.lw),w.firstChild)}d.createBlank(w,0,0,w.bbox.rw+0.1)}C={left:0,center:(K-w.bbox.w)/2,right:K-w.bbox.w}[l.align];v=C;s=0;if(M==this.over){if(B){J=Math.max(E*P*G,2.5/this.em);u=0;if(p.bbox.skew){v+=p.bbox.skew}}else{A=d.TeX.big_op_spacing1*P*G;z=d.TeX.big_op_spacing3*P*G;J=Math.max(A,z-Math.max(0,w.bbox.d))}J=Math.max(J,1.5/this.em);v+=O/2;s=p.bbox.h+w.bbox.d+J;w.bbox.h+=u}else{if(M==this.under){if(B){J=3*E*P*G;u=0}else{A=d.TeX.big_op_spacing2*P*G;z=d.TeX.big_op_spacing4*P*G;J=Math.max(A,z-w.bbox.h)}J=Math.max(J,1.5/this.em);v-=O/2;s=-(p.bbox.d+w.bbox.h+J);w.bbox.d+=u}}d.placeBox(w,v,s)}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);return L},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.msubsup.Augment({toHTML:function(K,I,C){K=this.HTMLcreateSpan(K);var N=this.HTMLgetScale(),H=this.HTMLgetMu(K);var w=d.createStack(K),l,n=[];var o=d.createBox(w);if(this.data[this.base]){n.push(this.data[this.base].toHTML(o));if(C!=null){this.data[this.base].HTMLstretchV(o,I,C)}else{if(I!=null){this.data[this.base].HTMLstretchH(o,I)}}}else{o.bbox=this.HTMLzeroBBox()}var L=d.TeX.x_height*N,B=d.TeX.scriptspace*N*0.75;var k,x;if(this.HTMLnotEmpty(this.data[this.sup])){k=d.createBox(w);n.push(this.data[this.sup].toHTML(k))}if(this.HTMLnotEmpty(this.data[this.sub])){x=d.createBox(w);n.push(this.data[this.sub].toHTML(x))}d.MeasureSpans(n);if(k){k.bbox.w+=B;k.bbox.rw=Math.max(k.bbox.w,k.bbox.rw)}if(x){x.bbox.w+=B;x.bbox.rw=Math.max(x.bbox.w,x.bbox.rw)}d.placeBox(o,0,0);var m;if(k){m=this.data[this.sup].HTMLgetScale()}else{if(x){m=this.data[this.sub].HTMLgetScale()}else{m=this.HTMLgetScale()}}var F=d.TeX.sup_drop*m,E=d.TeX.sub_drop*m;var z=o.bbox.h-F,y=o.bbox.d+E,M=0,G;if(o.bbox.ic){o.bbox.w-=o.bbox.ic;M=1.3*o.bbox.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&o.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=y=0}}var J=this.getValues("subscriptshift","superscriptshift");J.subscriptshift=(J.subscriptshift===""?0:d.length2em(J.subscriptshift,H));J.superscriptshift=(J.superscriptshift===""?0:d.length2em(J.superscriptshift,H));if(!k){if(x){y=Math.max(y,d.TeX.sub1*N,x.bbox.h-(4/5)*L,J.subscriptshift);d.placeBox(x,o.bbox.w,-y,x.bbox)}}else{if(!x){l=this.getValues("displaystyle","texprimestyle");G=d.TeX[(l.displaystyle?"sup1":(l.texprimestyle?"sup3":"sup2"))];z=Math.max(z,G*N,k.bbox.d+(1/4)*L,J.superscriptshift);d.placeBox(k,o.bbox.w+M,z,k.bbox)}else{y=Math.max(y,d.TeX.sub2*N);var A=d.TeX.rule_thickness*N;if((z-k.bbox.d)-(x.bbox.h-y)<3*A){y=3*A-z+k.bbox.d+x.bbox.h;F=(4/5)*L-(z-k.bbox.d);if(F>0){z+=F;y-=F}}d.placeBox(k,o.bbox.w+M,Math.max(z,J.superscriptshift));d.placeBox(x,o.bbox.w,-Math.max(y,J.subscriptshift))}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLstretchH:g.mbase.HTMLstretchH,HTMLstretchV:g.mbase.HTMLstretchV});g.mmultiscripts.Augment({toHTML:g.mbase.HTMLautoload});g.mtable.Augment({toHTML:g.mbase.HTMLautoload});g["annotation-xml"].Augment({toHTML:g.mbase.HTMLautoload});g.math.Augment({toHTML:function(u,l){var r=this.Get("alttext");if(r&&r!==""){l.setAttribute("aria-label",r)}var m=d.addElement(u,"nobr",{isMathJax:true});u=this.HTMLcreateSpan(m);var s=d.createStack(u),n=d.createBox(s),t;s.style.fontSize=m.parentNode.style.fontSize;m.parentNode.style.fontSize="";if(this.data[0]!=null){if(d.msieColorBug){if(this.background){this.data[0].background=this.background;delete this.background}if(this.mathbackground){this.data[0].mathbackground=this.mathbackground;delete this.mathbackground}}g.mbase.prototype.displayAlign=b.config.displayAlign;g.mbase.prototype.displayIndent=b.config.displayIndent;var o=this.data[0].toHTML(n);o.bbox.exactW=false;t=d.Measured(o,n)}d.placeBox(n,0,0);u.style.width=d.Em((Math.round(t.bbox.w*this.em)+0.25)/d.outerEm);u.style.display="inline-block";var k=1/d.em,q=d.em/d.outerEm;d.em/=q;u.bbox.h*=q;u.bbox.d*=q;u.bbox.w*=q;u.bbox.lw*=q;u.bbox.rw*=q;if(t&&t.bbox.width!=null){u.style.minWidth=(t.bbox.minWidth||u.style.width);u.style.width=s.style.width=t.bbox.width;n.style.width="100%"}this.HTMLhandleColor(u);if(t){d.createRule(u,(t.bbox.h+k)*q,(t.bbox.d+k)*q,0)}if(!this.isMultiline&&this.Get("display")==="block"&&u.bbox.width==null){var v=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(v.indentalignfirst!==g.INDENTALIGN.INDENTALIGN){v.indentalign=v.indentalignfirst}if(v.indentalign===g.INDENTALIGN.AUTO){v.indentalign=this.displayAlign}l.style.textAlign=v.indentalign;if(v.indentshiftfirst!==g.INDENTSHIFT.INDENTSHIFT){v.indentshift=v.indentshiftfirst}if(v.indentshift==="auto"){v.indentshift=this.displayIndent}if(v.indentshift&&v.indentalign!==g.INDENTALIGN.CENTER){u.style[{left:"marginLeft",right:"marginRight"}[v.indentalign]]=d.Em(d.length2em(v.indentshift))}}return u},HTMLspanElement:g.mbase.prototype.HTMLspanElement});g.TeXAtom.Augment({toHTML:function(l){l=this.HTMLcreateSpan(l);if(this.data[0]!=null){if(this.texClass===g.TEXCLASS.VCENTER){var k=d.createStack(l);var m=d.createBox(k);d.Measured(this.data[0].toHTML(m),m);d.placeBox(m,0,d.TeX.axis_height-(m.bbox.h+m.bbox.d)/2+m.bbox.d)}else{l.bbox=this.data[0].toHTML(l).bbox}}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(k){var o=(document.documentMode||0);var n=k.versionAtLeast("7.0");var m=k.versionAtLeast("8.0")&&o>7;var l=(document.compatMode==="BackCompat");if(o<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:true,msieColorPositionBug:true,msieRelativeWidthBug:l,msieDisappearingBug:(o>=8),msieMarginScaleBug:(o<8),msiePaddingWidthBug:true,msieBorderWidthBug:l,msieFrameSizeBug:(o<=8),msieInlineBlockAlignBug:(!m||l),msiePlaceBoxBug:(m&&!l),msieClipRectBug:!m,msieNegativeSpaceBug:l,cloneNodeBug:(m&&k.version==="8.0"),initialSkipBug:(o<8),msieNegativeBBoxBug:(o>=8),msieIE6:!n,msieItalicWidthBug:true,FontFaceBug:true,msieFontCSSBug:k.isIE9,allowWebFonts:(o>=9?"woff":"eot")})},Firefox:function(l){var m=false;if(l.versionAtLeast("3.5")){var k=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,k.length)===k){m="otf"}}d.Augment({ffVerticalAlignBug:true,AccentBug:true,allowWebFonts:m})},Safari:function(p){var n=p.versionAtLeast("3.0");var m=p.versionAtLeast("3.1");var k=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var l=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var q=(m&&p.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!p.versionAtLeast("5.0"))||(l!=null&&(l[1]<2||(l[1]==2&&l[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!m,safariTextNodeBug:!n,forceReflow:true,allowWebFonts:(m&&!q?"otf":false)});if(k){d.Augment({webFontDefault:(p.isMobile?"sans-serif":"serif")})}if(p.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(q){var o=b.config["HTML-CSS"];if(o){o.availableFonts=[];o.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(k){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(k.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(k){k.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:k.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(k.versionAtLeast("10.0")&&!k.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(k){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){h.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aJ=K.width.match(/%$/);var ay=b.createStack(t);var aG=this.HTMLgetScale(),aA=this.HTMLgetMu(t),aB=-1;var aq=[],au=[],ak=[],aw=[],av=[],af,ae,ap=-1,ad,ao,Z,aF,R,aC,aO=[];var al=b.FONTDATA.baselineskip*aG*K.useHeight,aT,I=b.FONTDATA.lineH*aG,O=b.FONTDATA.lineD*aG;for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);aw[af]=[];aq[af]=au[af]=0;for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){if(ak[ae]==null){if(ae>ap){ap=ae}av[ae]=b.createStack(b.createBox(ay));ak[ae]=-b.BIGDIMEN}aw[af][ae]=b.createBox(av[ae]);aO.push(aF.data[ae-Z].toHTML(aw[af][ae]))}}b.MeasureSpans(aO);for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){R=aF.data[ae-Z];if(R.isMultiline){aw[af][ae].style.width="100%"}if(R.isEmbellished()){aC=R.CoreMO();var aS=aC.Get("minsize",true);if(aS){var aL=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aT=aL.h+aL.d;if(aT){aS=b.length2em(aS,aA,aT);if(aS*aL.h/aT>aq[af]){aq[af]=aS*aL.h/aT}if(aS*aL.d/aT>au[af]){au[af]=aS*aL.d/aT}}}else{if(aC.HTMLcanStretch("Horizontal")){aS=b.length2em(aS,aA,aL.w);if(aS>ak[ae]){ak[ae]=aS}}}}}if(aw[af][ae].bbox.h>aq[af]){aq[af]=aw[af][ae].bbox.h}if(aw[af][ae].bbox.d>au[af]){au[af]=aw[af][ae].bbox.d}if(aw[af][ae].bbox.w>ak[ae]){ak[ae]=aw[af][ae].bbox.w}}}if(aq[0]+au[0]){aq[0]=Math.max(aq[0],I)}if(aq[aw.length-1]+au[aw.length-1]){au[aw.length-1]=Math.max(au[aw.length-1],O)}var aE=MathJax.Hub.SplitList;var az=aE(K.columnspacing),aQ=aE(K.rowspacing),e=aE(K.columnalign),E=aE(K.rowalign),d=aE(K.columnlines),z=aE(K.rowlines),aM=aE(K.columnwidth),V=[];for(af=0,ad=az.length;af<ad;af++){az[af]=b.length2em(az[af],aA)}for(af=0,ad=aQ.length;af<ad;af++){aQ[af]=b.length2em(aQ[af],aA)}while(az.length<ap){az.push(az[az.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aM.length<=ap){aM.push(aM[aM.length-1])}while(aQ.length<aw.length){aQ.push(aQ[aQ.length-1])}while(E.length<=aw.length){E.push(E[E.length-1])}while(z.length<aw.length){z.push(z[z.length-1])}if(av[aB]){e[aB]=(K.side.substr(0,1)==="l"?"left":"right");az[aB]=-ak[aB]}for(af=0,ad=aw.length;af<ad;af++){aF=this.data[af];V[af]=[];if(aF.rowalign){E[af]=aF.rowalign}if(aF.columnalign){V[af]=aE(aF.columnalign);while(V[af].length<=ap){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aD=Math.max.apply(Math,aq),X=Math.max.apply(Math,au);for(af=0,ad=aw.length;af<ad;af++){Z=((aD+X)-(aq[af]+au[af]))/2;aq[af]+=Z;au[af]+=Z}}aT=aq[0]+au[aw.length-1];for(af=0,ad=aw.length-1;af<ad;af++){aT+=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}var aI=0,aH=0,aV,g=aT;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aE(K.framespacing);if(w.length!=2){w=aE(this.defaults.framespacing)}aI=b.length2em(w[0],aA);aH=b.length2em(w[1],aA);g=aT+2*aH}var aj,aU,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=aw.length+1+ab}if(ab<1){ab=1}else{if(ab>aw.length){ab=aw.length}}aj=0;aU=-(aT+aH)+aq[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af]);aj+=N;aU+=N}}else{aj=({top:-(aq[0]+aH),bottom:aT+aH-aq[0],center:aT/2-aq[0],baseline:aT/2-aq[0],axis:aT/2+b.TeX.axis_height*aG-aq[0]})[K.align];aU=({top:-(aT+2*aH),bottom:0,center:-(aT/2+aH),baseline:-(aT/2+aH),axis:b.TeX.axis_height*aG-aT/2-aH})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,an=[],at=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aJ){ac=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){aM[af]=ac}ac=0;ag=1;ah=ap+1;for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac+=az[af]}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}ac/=ap+1;for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){if(aM[af]==="auto"){B+=ak[af]}else{if(aM[af]==="fit"){at[ah]=af;ah++;B+=ak[af]}else{if(aM[af].match(/%$/)){an[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aM[af],aA,1)}else{ak[af]=b.length2em(aM[af],aA);B+=ak[af]}}}}if(aJ){ac=0;for(af=0,ad=Math.min(ap,az.length);af<ad;af++){ac+=az[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}}for(af=0,ad=an.length;af<ad;af++){ak[an[af]]=b.length2em(aM[an[af]],aA,ac*S);B+=ak[an[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=at.length;af<ad;af++){ak[at[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ap;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ap;ae++){ak[ae]=Q}}}}var T=aj,o,r,aR;Z=(av[aB]?aB:0);for(ae=Z;ae<=ap;ae++){for(af=0,ad=aw.length;af<ad;af++){if(aw[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aB:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){aw[af][ae].bbox=R.HTMLstretchH(av[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aC=R.CoreMO();var aK=aC.symmetric;aC.symmetric=false;aw[af][ae].bbox=R.HTMLstretchV(av[ae],aq[af],au[af]).bbox;aw[af][ae].HH=null;aC.symmetric=aK}}aR=R.rowalign||this.data[af].rowalign||E[af];o=({top:aq[af]-aw[af][ae].bbox.h,bottom:aw[af][ae].bbox.d-au[af],center:((aq[af]-au[af])-(aw[af][ae].bbox.h-aw[af][ae].bbox.d))/2,baseline:0,axis:0})[aR]||0;aR=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(aw[af][ae],aR,T+o)}if(af<aw.length-1){T-=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}}T=aj}if(aJ){var G=b.createBox(ay);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aI);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ay.bbox}var aP=0,aW=aI,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ap+1);l=B/(ap+1)}for(ae=0;ae<=ap;ae++){b.placeBox(av[ae].parentNode,0,0);av[ae].style.position="relative";av[ae].style.left=b.Em(aW);av[ae].style.width="100%";av[ae].parentNode.parentNode.removeChild(av[ae].parentNode);var am=b.createBox(G);b.addBox(am,av[ae]);av[ae]=am;var h=am.style;h.display="inline-block";h.left=aP+"%";if(aM[ae].match(/%$/)){var u=parseFloat(aM[ae])*S;if(ah===0){h.width=(k+u)+"%";aP+=k+u;am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l);aW-=l}else{h.width=u+"%";aP+=u}}else{if(aM[ae]==="fit"||ah===0){h.width=k+"%";am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l-ak[ae]);aW+=ak[ae]-l;aP+=k}else{h.width=b.Em(ak[ae]);aW+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(am.firstChild,b.NBSP);am.firstChild.style.position="relative"}aW+=az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createBox(G);r.style.left=aP+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ay.bbox;b.placeBox(r,aW-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}else{var U=aI;for(ae=0;ae<=ap;ae++){if(!av[ae].bbox.width){b.setStackWidth(av[ae],ak[ae])}if(aM[ae]!=="auto"&&aM[ae]!=="fit"){av[ae].bbox.width=ak[ae];av[ae].bbox.isFixed=true}b.placeBox(av[ae].parentNode,U,0);U+=ak[ae]+az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}ay.bbox.d=-aU;ay.bbox.h=g+aU;b.setStackWidth(ay,ay.bbox.w+aI);aV=ay.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ay,g,0,aV,1.25/b.em,K.frame);b.addBox(ay,ai);b.placeBox(ai,0,aU,true);if(aJ){ai.style.width="100%"}}T=aj;for(af=0,ad=aw.length-1;af<ad;af++){o=Math.max(al,au[af]+aq[af+1]+aQ[af]);if(z[af]!=="none"){r=b.createRule(ay,1.25/b.em,0,aV);b.addBox(ay,r);r.bbox={h:1.25/b.em,d:0,w:aV,rw:aV,lw:0};b.placeBox(r,0,T-au[af]-(o-au[af]-aq[af+1])/2,true);if(z[af]==="dashed"||aJ){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aJ){r.style.width="100%"}}}T-=o}if(aJ){t.bbox.width=K.width;ay.style.width="100%"}if(av[aB]){var ax=ay.bbox.w,q;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift=this.displayIndent}var aN=b.createStack(t,false,"100%");b.addBox(aN,ay);b.alignBox(ay,ar.indentalign,0);if(ar.indentshift&&ar.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(ar.indentshift,aA);ax+=q;ay.style[ar.indentalign]=b.Em(q)}av[aB].parentNode.parentNode.removeChild(av[aB].parentNode);b.addBox(aN,av[aB]);b.alignBox(av[aB],e[aB],0);if(b.msieRelativeWidthBug){ay.style.top=av[aB].style.top=""}if(aJ){ay.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,aA);av[aB].style.marginRight=av[aB].style.marginLeft=b.Em(q);if(ar.indentalign===a.INDENTALIGN.CENTER){ax+=4*q+2*av[aB].bbox.w}else{if(ar.indentalign!==e[aB]){ax+=2*q+av[aB].bbox.w}}t.style.minWidth=t.bbox.minWidth=aN.style.minWidth=aN.bbox.minWidth=b.Em(ax)}if(!aJ){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aJ){if(!ai){ai=b.createFrame(ay,g,0,aV,0,"none");b.addBox(ay,ai);b.placeBox(ai,0,aU,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aI=K.width.match(/%$/);var ax=b.createStack(t);var aF=this.HTMLgetScale(),az=this.HTMLgetMu(t),aA=-1;var ap=[],at=[],ak=[],av=[],au=[],af,ae,ao=-1,ad,an,Z,aE,R,aB,aN=[],aS;var I=b.FONTDATA.lineH*aF*K.useHeight,O=b.FONTDATA.lineD*aF*K.useHeight;for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);av[af]=[];ap[af]=I;at[af]=O;for(ae=Z,an=aE.data.length+Z;ae<an;ae++){if(ak[ae]==null){if(ae>ao){ao=ae}au[ae]=b.createStack(b.createBox(ax));ak[ae]=-b.BIGDIMEN}av[af][ae]=b.createBox(au[ae]);aN.push(aE.data[ae-Z].toHTML(av[af][ae]))}}b.MeasureSpans(aN);for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);for(ae=Z,an=aE.data.length+Z;ae<an;ae++){R=aE.data[ae-Z];if(R.isMultiline){av[af][ae].style.width="100%"}if(R.isEmbellished()){aB=R.CoreMO();var aR=aB.Get("minsize",true);if(aR){var aK=aB.HTMLspanElement().bbox;if(aB.HTMLcanStretch("Vertical")){aS=aK.h+aK.d;if(aS){aR=b.length2em(aR,az,aS);if(aR*aK.h/aS>ap[af]){ap[af]=aR*aK.h/aS}if(aR*aK.d/aS>at[af]){at[af]=aR*aK.d/aS}}}else{if(aB.HTMLcanStretch("Horizontal")){aR=b.length2em(aR,az,aK.w);if(aR>ak[ae]){ak[ae]=aR}}}}}if(av[af][ae].bbox.h>ap[af]){ap[af]=av[af][ae].bbox.h}if(av[af][ae].bbox.d>at[af]){at[af]=av[af][ae].bbox.d}if(av[af][ae].bbox.w>ak[ae]){ak[ae]=av[af][ae].bbox.w}}}var aD=MathJax.Hub.SplitList;var ay=aD(K.columnspacing),aP=aD(K.rowspacing),e=aD(K.columnalign),E=aD(K.rowalign),d=aD(K.columnlines),z=aD(K.rowlines),aL=aD(K.columnwidth),V=[];for(af=0,ad=ay.length;af<ad;af++){ay[af]=b.length2em(ay[af],az)}for(af=0,ad=aP.length;af<ad;af++){aP[af]=b.length2em(aP[af],az)}while(ay.length<ao){ay.push(ay[ay.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aL.length<=ao){aL.push(aL[aL.length-1])}while(aP.length<av.length){aP.push(aP[aP.length-1])}while(E.length<=av.length){E.push(E[E.length-1])}while(z.length<av.length){z.push(z[z.length-1])}if(au[aA]){e[aA]=(K.side.substr(0,1)==="l"?"left":"right");ay[aA]=-ak[aA]}for(af=0,ad=av.length;af<ad;af++){aE=this.data[af];V[af]=[];if(aE.rowalign){E[af]=aE.rowalign}if(aE.columnalign){V[af]=aD(aE.columnalign);while(V[af].length<=ao){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aC=Math.max.apply(Math,ap),X=Math.max.apply(Math,at);for(af=0,ad=av.length;af<ad;af++){Z=((aC+X)-(ap[af]+at[af]))/2;ap[af]+=Z;at[af]+=Z}}aS=ap[0]+at[av.length-1];for(af=0,ad=av.length-1;af<ad;af++){aS+=Math.max(0,at[af]+ap[af+1]+aP[af])}var aH=0,aG=0,aU,g=aS;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aD(K.framespacing);if(w.length!=2){w=aD(this.defaults.framespacing)}aH=b.length2em(w[0],az);aG=b.length2em(w[1],az);g=aS+2*aG}var aj,aT,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=av.length+1+ab}if(ab<1){ab=1}else{if(ab>av.length){ab=av.length}}aj=0;aT=-(aS+aG)+ap[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max(0,at[af]+ap[af+1]+aP[af]);aj+=N;aT+=N}}else{aj=({top:-(ap[0]+aG),bottom:aS+aG-ap[0],center:aS/2-ap[0],baseline:aS/2-ap[0],axis:aS/2+b.TeX.axis_height*aF-ap[0]})[K.align];aT=({top:-(aS+2*aG),bottom:0,center:-(aS/2+aG),baseline:-(aS/2+aG),axis:b.TeX.axis_height*aF-aS/2-aG})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,am=[],ar=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aI){ac=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){aL[af]=ac}ac=0;ag=1;ah=ao+1;for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac+=ay[af]}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}ac/=ao+1;for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){if(aL[af]==="auto"){B+=ak[af]}else{if(aL[af]==="fit"){ar[ah]=af;ah++;B+=ak[af]}else{if(aL[af].match(/%$/)){am[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aL[af],az,1)}else{ak[af]=b.length2em(aL[af],az);B+=ak[af]}}}}if(aI){ac=0;for(af=0,ad=Math.min(ao,ay.length);af<ad;af++){ac+=ay[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}}for(af=0,ad=am.length;af<ad;af++){ak[am[af]]=b.length2em(aL[am[af]],az,ac*S);B+=ak[am[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=ar.length;af<ad;af++){ak[ar[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ao;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ao;ae++){ak[ae]=Q}}}}var T=aj,o,r,aQ;Z=(au[aA]?aA:0);for(ae=Z;ae<=ao;ae++){for(af=0,ad=av.length;af<ad;af++){if(av[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aA:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){av[af][ae].bbox=R.HTMLstretchH(au[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aB=R.CoreMO();var aJ=aB.symmetric;aB.symmetric=false;av[af][ae].bbox=R.HTMLstretchV(au[ae],ap[af],at[af]).bbox;av[af][ae].HH=null;if(av[af][ae].bbox.h>ap[af]){av[af][ae].bbox.H=av[af][ae].bbox.h;av[af][ae].bbox.h=ap[af]}if(av[af][ae].bbox.d>at[af]){av[af][ae].bbox.D=av[af][ae].bbox.d;av[af][ae].bbox.d=at[af]}aB.symmetric=aJ}}aQ=R.rowalign||this.data[af].rowalign||E[af];o=({top:ap[af]-av[af][ae].bbox.h,bottom:av[af][ae].bbox.d-at[af],center:((ap[af]-at[af])-(av[af][ae].bbox.h-av[af][ae].bbox.d))/2,baseline:0,axis:0})[aQ]||0;aQ=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(av[af][ae],aQ,T+o)}if(af<av.length-1){T-=Math.max(0,at[af]+ap[af+1]+aP[af])}}T=aj}if(aI){var G=b.createBox(ax);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aH);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ax.bbox}var aO=0,aV=aH,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ao+1);l=B/(ao+1)}for(ae=0;ae<=ao;ae++){b.placeBox(au[ae].parentNode,0,0);au[ae].style.position="relative";au[ae].style.left=b.Em(aV);au[ae].style.width="100%";au[ae].parentNode.parentNode.removeChild(au[ae].parentNode);var al=b.createBox(G);b.addBox(al,au[ae]);au[ae]=al;var h=al.style;h.display="inline-block";h.left=aO+"%";if(aL[ae].match(/%$/)){var u=parseFloat(aL[ae])*S;if(ah===0){h.width=(k+u)+"%";aO+=k+u;al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l);aV-=l}else{h.width=u+"%";aO+=u}}else{if(aL[ae]==="fit"||ah===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l-ak[ae]);aV+=ak[ae]-l;aO+=k}else{h.width=b.Em(ak[ae]);aV+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}aV+=ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createBox(G);r.style.left=aO+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ax.bbox;b.placeBox(r,aV-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}else{var U=aH;for(ae=0;ae<=ao;ae++){if(!au[ae].bbox.width){b.setStackWidth(au[ae],ak[ae])}if(aL[ae]!=="auto"&&aL[ae]!=="fit"){au[ae].bbox.width=ak[ae];au[ae].bbox.isFixed=true}b.placeBox(au[ae].parentNode,U,0);U+=ak[ae]+ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}ax.bbox.d=-aT;ax.bbox.h=g+aT;b.setStackWidth(ax,ax.bbox.w+aH);aU=ax.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ax,g,0,aU,1.25/b.em,K.frame);b.addBox(ax,ai);b.placeBox(ai,0,aT,true);if(aI){ai.style.width="100%"}}T=aj;for(af=0,ad=av.length-1;af<ad;af++){o=Math.max(0,at[af]+ap[af+1]+aP[af]);if(z[af]!=="none"){r=b.createRule(ax,1.25/b.em,0,aU);b.addBox(ax,r);r.bbox={h:1.25/b.em,d:0,w:aU,rw:aU,lw:0};b.placeBox(r,0,T-at[af]-(o-at[af]-ap[af+1])/2,true);if(z[af]==="dashed"||aI){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aI){r.style.width="100%"}}}T-=o}if(aI){t.bbox.width=K.width;ax.style.width="100%"}if(au[aA]){var aw=ax.bbox.w,q;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift=this.displayIndent}var aM=b.createStack(t,false,"100%");b.addBox(aM,ax);b.alignBox(ax,aq.indentalign,0);if(aq.indentshift&&aq.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(aq.indentshift,az);aw+=q;ax.style[aq.indentalign]=b.Em(q)}au[aA].parentNode.parentNode.removeChild(au[aA].parentNode);b.addBox(aM,au[aA]);b.alignBox(au[aA],e[aA],0);if(b.msieRelativeWidthBug){ax.style.top=au[aA].style.top=""}if(aI){ax.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,az);au[aA].style.marginRight=au[aA].style.marginLeft=b.Em(q);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*q+2*au[aA].bbox.w}else{if(aq.indentalign!==e[aA]){aw+=2*q+au[aA].bbox.w}}t.style.minWidth=t.bbox.minWidth=aM.style.minWidth=aM.bbox.minWidth=b.Em(aw)}if(!aI){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aI){if(!ai){ai=b.createFrame(ax,g,0,aU,0,"none");b.addBox(ax,ai);b.placeBox(ai,0,aT,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML-full.js");
diff --git a/config/TeX-MML-AM_HTMLorMML.js b/config/TeX-MML-AM_HTMLorMML.js
index 9efd63d38..d6173ffe3 100644
--- a/config/TeX-MML-AM_HTMLorMML.js
+++ b/config/TeX-MML-AM_HTMLorMML.js
@@ -40,25 +40,25 @@ MathJax.Ajax.Preloading(
 
 MathJax.Hub.Config({"v1.0-compatible":false});
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.3",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-(function(c,g){var f="2.3";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.3",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.4-beta",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+(function(c,g){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.4-beta",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
 (function(d,c,i){var h,g="\u00A0";var j=function(l){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",l]].concat([].slice.call(arguments,1)))};var e=MathJax.Object.Subclass({Init:function(m,l){this.global={isInner:l};this.data=[b.start(this.global)];if(m){this.data[0].env=m}this.env=this.data[0].env},Push:function(){var n,l,o,p;for(n=0,l=arguments.length;n<l;n++){o=arguments[n];if(o instanceof h.mbase){o=b.mml(o)}o.global=this.global;p=(this.data.length?this.Top().checkItem(o):true);if(p instanceof Array){this.Pop();this.Push.apply(this,p)}else{if(p instanceof b){this.Pop();this.Push(p)}else{if(p){this.data.push(o);if(o.env){for(var q in this.env){if(this.env.hasOwnProperty(q)){o.env[q]=this.env[q]}}this.env=o.env}else{o.env=this.env}}}}}},Pop:function(){var l=this.data.pop();if(!l.isOpen){delete l.env}this.env=(this.data.length?this.Top().env:{});return l},Top:function(l){if(l==null){l=1}if(this.data.length<l){return null}return this.data[this.data.length-l]},Prev:function(l){var m=this.Top();if(l){return m.data[m.data.length-1]}else{return m.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(l,m){if(l==null){l=true}if(this.data.length===1&&!m){return this.data[0]}return h.mrow.apply(h,this.data).With((l?{inferred:true}:{}))},checkItem:function(l){if(l.type==="over"&&this.isOpen){l.num=this.mmlData(false);this.data=[]}if(l.type==="cell"&&this.isOpen){if(l.linebreak){return false}d.Error(["Misplaced","Misplaced %1",l.name])}if(l.isClose&&this[l.type+"Error"]){d.Error(this[l.type+"Error"])}if(!l.isNotStack){return true}this.Push(l.data[0]);return false},With:function(l){for(var m in l){if(l.hasOwnProperty(m)){this[m]=l[m]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(l){this.SUPER(arguments).Init.call(this);this.global=l},checkItem:function(l){if(l.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,l)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(m){if(m.type==="close"){var l=this.mmlData();return b.mml(h.TeXAtom(l))}return this.SUPER(arguments).checkItem.call(this,m)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(l){if(this.data[0].type!=="msubsup"){return[h.msup(this.data[0],this.data[1]),l]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],l]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(l){if(l.type==="open"||l.type==="left"){return true}if(l.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{l.data[0]=h.mrow(this.primes.With({variantForm:true}),l.data[0])}}this.data[0].SetData(this.position,l.data[0]);return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,l)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(n,l){if(n.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",n.name])}if(n.isClose){var m=h.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){m.linethickness=this.thickness}if(this.open||this.close){m.texClass=h.TEXCLASS.INNER;m.texWithDelims=true;m=d.fenced(this.open,m,this.close)}return[b.mml(m),n]}return this.SUPER(arguments).checkItem.call(this,n)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(l){if(l.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),l.delim))}return this.SUPER(arguments).checkItem.call(this,l)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(l){if(l.type==="end"){if(l.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,l.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(l.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,l)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(m){if(!m.isClose){return this.SUPER(arguments).checkItem.call(this,m)}var l=h.mstyle.apply(h,this.data).With(this.styles);return[b.mml(l),m]}});b.position=b.Subclass({type:"position",checkItem:function(m){if(m.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(m.isNotStack){var l=m.mmlData();switch(this.move){case"vertical":l=h.mpadded(l).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(l)];case"horizontal":return[b.mml(this.left),m,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,m)}});b.array=b.Subclass({type:"array",isOpen:true,arraydef:{},Init:function(){this.table=[];this.row=[];this.env={};this.frame=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(m){if(m.isClose&&m.type!=="over"){if(m.isEntry){this.EndEntry();this.clearEnv();return false}if(m.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var l=h.mtable.apply(h,this.table).With(this.arraydef);if(this.frame.length===4){l.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){l.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}l=h.menclose(l).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){l.padding=0}}}if(this.open||this.close){l=d.fenced(this.open,l,this.close)}l=b.mml(l);if(this.requireClose){if(m.type==="close"){return l}d.Error(["MissingCloseBrace","Missing close brace"])}return[l,m]}return this.SUPER(arguments).checkItem.call(this,m)},EndEntry:function(){this.row.push(h.mtd.apply(h,this.data));this.data=[]},EndRow:function(){this.table.push(h.mtr.apply(h,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var l=this.arraydef.rowlines.split(/ /);if(l.length===this.table.length){this.frame.push("bottom");l.pop();this.arraydef.rowlines=l.join(" ")}else{if(l.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var m=this.arraydef.rowspacing.split(/ /);while(m.length<this.table.length){m.push(this.rowspacing+"em")}this.arraydef.rowspacing=m.join(" ")}},clearEnv:function(){for(var l in this.env){if(this.env.hasOwnProperty(l)){delete this.env[l]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(m){if(this.data[0]){if(m.type!=="mml"||!m.data[0]){return[this.data[0],m]}if(m.data[0].isa(h.mspace)){return[this.data[0],m]}var l=m.data[0];if(l.isEmbellished()){l=l.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][l.Get("texClass")]){return[this.data[0],m]}return[this.data[0],h.mo(h.entity("#x2061")).With({texClass:h.TEXCLASS.NONE}),m]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(m){var l,n;if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"&&m.data[0].type.match(/^(mo|mi|mtext)$/)){l=m.data[0],n=l.data.join("");if(n.length===1&&!l.movesupsub){n=b.not.remap[n.charCodeAt(0)];if(n){l.SetData(0,h.chars(String.fromCharCode(n)))}else{l.Append(h.chars("\u0338"))}return m}}l=h.mpadded(h.mtext("\u29F8")).With({width:0});l=h.TeXAtom(l).With({texClass:h.TEXCLASS.REL});return[l,m]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}var n=this.ldots;if(m.type==="mml"&&m.data[0].isEmbellished()){var l=m.data[0].CoreMO().Get("texClass");if(l===h.TEXCLASS.BIN||l===h.TEXCLASS.REL){n=this.cdots}}return[n,m]}});var f={Add:function(l,o,n){if(!o){o=this}for(var m in l){if(l.hasOwnProperty(m)){if(typeof l[m]==="object"&&!(l[m] instanceof Array)&&(typeof o[m]==="object"||typeof o[m]==="function")){this.Add(l[m],o[m],l[m],n)}else{if(!o[m]||!o[m].isUser||!n){o[m]=l[m]}}}}return o}};var k=function(){h=MathJax.ElementJax.mml;c.Insert(f,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:h.VARIANT.NORMAL}],aleph:["2135",{mathvariant:h.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:h.VARIANT.NORMAL}],Re:["211C",{mathvariant:h.VARIANT.NORMAL}],Im:["2111",{mathvariant:h.VARIANT.NORMAL}],partial:["2202",{mathvariant:h.VARIANT.NORMAL}],infty:["221E",{mathvariant:h.VARIANT.NORMAL}],prime:["2032",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:h.VARIANT.NORMAL}],nabla:["2207",{mathvariant:h.VARIANT.NORMAL}],top:["22A4",{mathvariant:h.VARIANT.NORMAL}],bot:["22A5",{mathvariant:h.VARIANT.NORMAL}],angle:["2220",{mathvariant:h.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:h.VARIANT.NORMAL}],backslash:["2216",{mathvariant:h.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:h.VARIANT.NORMAL}],exists:["2203",{mathvariant:h.VARIANT.NORMAL}],neg:["00AC",{mathvariant:h.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:h.VARIANT.NORMAL}],flat:["266D",{mathvariant:h.VARIANT.NORMAL}],natural:["266E",{mathvariant:h.VARIANT.NORMAL}],sharp:["266F",{mathvariant:h.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:h.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:h.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:h.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:h.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:h.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:h.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:h.TEXCLASS.OP}],intop:["222B",{texClass:h.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:h.TEXCLASS.OP}],iiint:["222D",{texClass:h.TEXCLASS.OP}],prod:["220F",{texClass:h.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:h.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:h.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:h.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:h.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:h.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:h.TEXCLASS.PUNCT}],colon:["003A",{texClass:h.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:h.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2225",{texClass:h.TEXCLASS.ORD}],"\\|":["2225",{texClass:h.TEXCLASS.ORD}],"\\vert":["|",{texClass:h.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",h.VARIANT.NORMAL],mit:["SetFont",h.VARIANT.ITALIC],oldstyle:["SetFont",h.VARIANT.OLDSTYLE],cal:["SetFont",h.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",h.VARIANT.BOLD],bbFont:["SetFont",h.VARIANT.DOUBLESTRUCK],scr:["SetFont",h.VARIANT.SCRIPT],frak:["SetFont",h.VARIANT.FRAKTUR],sf:["SetFont",h.VARIANT.SANSSERIF],tt:["SetFont",h.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF"],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",h.LENGTH.THINMATHSPACE],":":["Spacer",h.LENGTH.MEDIUMMATHSPACE],">":["Spacer",h.LENGTH.MEDIUMMATHSPACE],";":["Spacer",h.LENGTH.THICKMATHSPACE],"!":["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",h.LENGTH.THINMATHSPACE],negthinspace:["Spacer",h.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",h.TEXCLASS.ORD,0.85],Big:["MakeBig",h.TEXCLASS.ORD,1.15],bigg:["MakeBig",h.TEXCLASS.ORD,1.45],Bigg:["MakeBig",h.TEXCLASS.ORD,1.75],bigl:["MakeBig",h.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",h.TEXCLASS.OPEN,1.15],biggl:["MakeBig",h.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",h.TEXCLASS.OPEN,1.75],bigr:["MakeBig",h.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",h.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",h.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",h.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",h.TEXCLASS.REL,0.85],Bigm:["MakeBig",h.TEXCLASS.REL,1.15],biggm:["MakeBig",h.TEXCLASS.REL,1.45],Biggm:["MakeBig",h.TEXCLASS.REL,1.75],mathord:["TeXAtom",h.TEXCLASS.ORD],mathop:["TeXAtom",h.TEXCLASS.OP],mathopen:["TeXAtom",h.TEXCLASS.OPEN],mathclose:["TeXAtom",h.TEXCLASS.CLOSE],mathbin:["TeXAtom",h.TEXCLASS.BIN],mathrel:["TeXAtom",h.TEXCLASS.REL],mathpunct:["TeXAtom",h.TEXCLASS.PUNCT],mathinner:["TeXAtom",h.TEXCLASS.INNER],vcenter:["TeXAtom",h.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",h.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],leqalignno:["Matrix",null,null,"right left right",h.LENGTH.THICKMATHSPACE+" 3em",".5em","D"],bmod:["Macro","\\mathbin{\\mmlToken{mo}{mod}}"],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it{\\text{#1}}}",1],textbf:["Macro","\\mathord{\\bf{\\text{#1}}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde",begin:"Begin",end:"End",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var l=this.config.Macros;for(var m in l){if(l.hasOwnProperty(m)){if(typeof(l[m])==="string"){f.macros[m]=["Macro",l[m]]}else{f.macros[m]=["Macro"].concat(l[m])}f.macros[m].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(m,n){this.string=m;this.i=0;this.macroCount=0;var l;if(n){l={};for(var o in n){if(n.hasOwnProperty(o)){l[o]=n[o]}}}this.stack=d.Stack(l,!!n);this.Parse();this.Push(b.stop())},Parse:function(){var m,l;while(this.i<this.string.length){m=this.string.charAt(this.i++);l=m.charCodeAt(0);if(l>=55296&&l<56320){m+=this.string.charAt(this.i++)}if(f.special[m]){this[f.special[m]](m)}else{if(f.letter.test(m)){this.Variable(m)}else{if(f.digit.test(m)){this.Number(m)}else{this.Other(m)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(l){return l},ControlSequence:function(o){var l=this.GetCS(),n=this.csFindMacro(l);if(n){if(!(n instanceof Array)){n=[n]}var m=n[0];if(!(m instanceof Function)){m=this[m]}m.apply(this,[o+l].concat(n.slice(1)))}else{if(f.mathchar0mi[l]){this.csMathchar0mi(l,f.mathchar0mi[l])}else{if(f.mathchar0mo[l]){this.csMathchar0mo(l,f.mathchar0mo[l])}else{if(f.mathchar7[l]){this.csMathchar7(l,f.mathchar7[l])}else{if(f.delimiter["\\"+l]!=null){this.csDelimiter(l,f.delimiter["\\"+l])}else{this.csUndefined(o+l)}}}}}},csFindMacro:function(l){return f.macros[l]},csMathchar0mi:function(l,n){var m={mathvariant:h.VARIANT.ITALIC};if(n instanceof Array){m=n[1];n=n[0]}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csMathchar0mo:function(l,n){var m={stretchy:false};if(n instanceof Array){m=n[1];m.stretchy=false;n=n[0]}this.Push(this.mmlToken(h.mo(h.entity("#x"+n)).With(m)))},csMathchar7:function(l,n){var m={mathvariant:h.VARIANT.NORMAL};if(n instanceof Array){m=n[1];n=n[0]}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.entity("#x"+n)).With(m)))},csDelimiter:function(l,n){var m={};if(n instanceof Array){m=n[1];n=n[0]}if(n.length===4){n=h.entity("#x"+n)}else{n=h.chars(n)}this.Push(this.mmlToken(h.mo(n).With({fence:false,stretchy:false}).With(m)))},csUndefined:function(l){d.Error(["UndefinedControlSequence","Undefined control sequence %1",l])},Variable:function(m){var l={};if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(h.mi(h.chars(m)).With(l)))},Number:function(o){var l,m=this.string.slice(this.i-1).match(f.number);if(m){l=h.mn(m[0].replace(/[{}]/g,""));this.i+=m[0].length-1}else{l=h.mo(h.chars(o))}if(this.stack.env.font){l.mathvariant=this.stack.env.font}this.Push(this.mmlToken(l))},Open:function(l){this.Push(b.open())},Close:function(l){this.Push(b.close())},Tilde:function(l){this.Push(h.mtext(h.chars(g)))},Space:function(l){},Superscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sup]){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}l=m.sup}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.over]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.over}else{m=h.msubsup(m,null,null);l=m.sup}}this.Push(b.subsup(m).With({position:l,primes:o}))},Subscript:function(p){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var l,o,m,n=this.stack.Top();if(n.type==="prime"){m=n.data[0];o=n.data[1];this.stack.Pop()}else{m=this.stack.Prev();if(!m){m=h.mi("")}}if(m.isEmbellishedWrapper){m=m.data[0].data[0]}if(m.type==="msubsup"){if(m.data[m.sub]){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}l=m.sub}else{if(m.movesupsub){if(m.type!=="munderover"||m.data[m.under]){if(m.movablelimits&&m.isa(h.mi)){m=this.mi2mo(m)}m=h.munderover(m,null,null).With({movesupsub:true})}l=m.under}else{m=h.msubsup(m,null,null);l=m.sub}}this.Push(b.subsup(m).With({position:l,primes:o}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(n){var m=this.stack.Prev();if(!m){m=h.mi()}if(m.type==="msubsup"&&m.data[m.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var l="";this.i--;do{l+=this.PRIME;this.i++,n=this.GetNext()}while(n==="'"||n===this.SMARTQUOTE);l=["","\u2032","\u2033","\u2034","\u2057"][l.length]||l;this.Push(b.prime(m,this.mmlToken(h.mo(l))))},mi2mo:function(l){var m=h.mo();m.Append.apply(m,l.data);var n;for(n in m.defaults){if(m.defaults.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}for(n in h.copyAttributes){if(h.copyAttributes.hasOwnProperty(n)&&l[n]!=null){m[n]=l[n]}}return m},Comment:function(l){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(l){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(n){var m={stretchy:false},l;if(this.stack.env.font){m.mathvariant=this.stack.env.font}if(f.remap[n]){n=f.remap[n];if(n instanceof Array){m=n[1];n=n[0]}l=h.mo(h.entity("#x"+n)).With(m)}else{l=h.mo(n).With(m)}if(l.autoDefault("texClass",true)==""){l=h.TeXAtom(l)}this.Push(this.mmlToken(l))},SetFont:function(m,l){this.stack.env.font=l},SetStyle:function(m,l,n,o){this.stack.env.style=l;this.stack.env.level=o;this.Push(b.style().With({styles:{displaystyle:n,scriptlevel:o}}))},SetSize:function(l,m){this.stack.env.size=m;this.Push(b.style().With({styles:{mathsize:m+"em"}}))},Color:function(n){var m=this.GetArgument(n);var l=this.stack.env.color;this.stack.env.color=m;var o=this.ParseArg(n);if(l){this.stack.env.color}else{delete this.stack.env.color}this.Push(h.mstyle(o).With({mathcolor:m}))},Spacer:function(l,m){this.Push(h.mspace().With({width:m,mathsize:h.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(l){this.Push(b[l.substr(1)]().With({delim:this.GetDelimiter(l)}))},Middle:function(l){var m=this.GetDelimiter(l);if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",l])}this.Push(h.mo(m).With({stretchy:true}))},NamedFn:function(m,n){if(!n){n=m.substr(1)}var l=h.mi(n).With({texClass:h.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(l)))},NamedOp:function(m,n){if(!n){n=m.substr(1)}n=n.replace(/&thinsp;/,"\u2006");var l=h.mo(n).With({movablelimits:true,movesupsub:true,form:h.FORM.PREFIX,texClass:h.TEXCLASS.OP});l.useMMLspacing&=~l.SPACE_ATTR.form;this.Push(this.mmlToken(l))},Limits:function(m,l){var n=this.stack.Prev("nopop");if(!n||n.texClass!==h.TEXCLASS.OP){d.Error(["MisplacedLimits","%1 is allowed only on operators",m])}n.movesupsub=(l?true:false);n.movablelimits=false},Over:function(n,m,o){var l=b.over().With({name:n});if(m||o){l.open=m;l.close=o}else{if(n.match(/withdelims$/)){l.open=this.GetDelimiter(n);l.close=this.GetDelimiter(n)}}if(n.match(/^\\above/)){l.thickness=this.GetDimen(n)}else{if(n.match(/^\\atop/)||m||o){l.thickness=0}}this.Push(l)},Frac:function(m){var l=this.ParseArg(m);var n=this.ParseArg(m);this.Push(h.mfrac(l,n))},Sqrt:function(o){var p=this.GetBrackets(o),l=this.GetArgument(o);if(l==="\\frac"){l+="{"+this.GetArgument(l)+"}{"+this.GetArgument(l)+"}"}var m=d.Parse(l,this.stack.env).mml();if(!p){m=h.msqrt.apply(h,m.array())}else{m=h.mroot(m,this.parseRoot(p))}this.Push(m)},Root:function(m){var o=this.GetUpTo(m,"\\of");var l=this.ParseArg(m);this.Push(h.mroot(l,this.parseRoot(o)))},parseRoot:function(q){var m=this.stack.env,l=m.inRoot;m.inRoot=true;var p=d.Parse(q,m);q=p.mml();var o=p.stack.global;if(o.leftRoot||o.upRoot){q=h.mpadded(q);if(o.leftRoot){q.width=o.leftRoot}if(o.upRoot){q.voffset=o.upRoot;q.height=o.upRoot}}m.inRoot=l;return q},MoveRoot:function(l,o){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",l])}if(this.stack.global[o]){d.Error(["MultipleMoveRoot","Multiple use of %1",l])}var m=this.GetArgument(l);if(!m.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",l])}m=(m/15)+"em";if(m.substr(0,1)!=="-"){m="+"+m}this.stack.global[o]=m},Accent:function(n,l,q){var p=this.ParseArg(n);var o={accent:true};if(this.stack.env.font){o.mathvariant=this.stack.env.font}var m=this.mmlToken(h.mo(h.entity("#x"+l)).With(o));m.stretchy=(q?true:false);this.Push(h.TeXAtom(h.munderover(p,null,m).With({accent:true})))},UnderOver:function(n,q,l){var p={o:"over",u:"under"}[n.charAt(1)];var o=this.ParseArg(n);if(o.Get("movablelimits")){o.movablelimits=false}var m=h.munderover(o,null,null);if(l){m.movesupsub=true}m.data[m[p]]=this.mmlToken(h.mo(h.entity("#x"+q)).With({stretchy:true,accent:(p=="under")}));this.Push(m)},Overset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.mover(m,n))},Underset:function(l){var n=this.ParseArg(l),m=this.ParseArg(l);this.Push(h.munder(m,n))},TeXAtom:function(o,q){var p={texClass:q},n;if(q==h.TEXCLASS.OP){p.movesupsub=p.movablelimits=true;var l=this.GetArgument(o);var m=l.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(m){p.mathvariant=h.VARIANT.NORMAL;n=b.fn(this.mmlToken(h.mi(m[1]).With(p)))}else{n=b.fn(h.TeXAtom(d.Parse(l,this.stack.env).mml()).With(p))}}else{n=h.TeXAtom(this.ParseArg(o)).With(p)}this.Push(n)},MmlToken:function(n){var o=this.GetArgument(n),l=this.GetBrackets(n,"").replace(/^\s+/,""),r=this.GetArgument(n),q={attrNames:[]},m;if(!h[o]||!h[o].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",o])}while(l!==""){m=l.match(/^([a-z]+)\s*=\s*(\'[^']*'|"[^"]*"|[^ ]*)\s*/i);if(!m){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",l])}if(!h[o].prototype.defaults[m[1]]&&!this.MmlTokenAllow[m[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",m[1],o])}var p=this.MmlFilterAttribute(m[1],m[2].replace(/^(['"])(.*)\1$/,"$2"));if(p){if(p.toLowerCase()==="true"){p=true}else{if(p.toLowerCase()==="false"){p=false}}q[m[1]]=p;q.attrNames.push(m[1])}l=l.substr(m[0].length)}this.Push(this.mmlToken(h[o](r).With(q)))},MmlFilterAttribute:function(l,m){return m},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(l){this.Push(h.mpadded(h.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(m,l,n){var o=h.mphantom(this.ParseArg(m));if(l||n){o=h.mpadded(o);if(n){o.height=o.depth=0}if(l){o.width=0}}this.Push(h.TeXAtom(o))},Smash:function(n){var m=this.trimSpaces(this.GetBrackets(n,""));var l=h.mpadded(this.ParseArg(n));switch(m){case"b":l.depth=0;break;case"t":l.height=0;break;default:l.height=l.depth=0}this.Push(h.TeXAtom(l))},Lap:function(m){var l=h.mpadded(this.ParseArg(m)).With({width:0});if(m==="\\llap"){l.lspace="-1 width"}this.Push(h.TeXAtom(l))},RaiseLower:function(l){var m=this.GetDimen(l);var n=b.position().With({name:l,move:"vertical"});if(m.charAt(0)==="-"){m=m.slice(1);l={raise:"\\lower",lower:"\\raise"}[l.substr(1)]}if(l==="\\lower"){n.dh="-"+m;n.dd="+"+m}else{n.dh="+"+m;n.dd="-"+m}this.Push(n)},MoveLeftRight:function(l){var o=this.GetDimen(l);var n=(o.charAt(0)==="-"?o.slice(1):"-"+o);if(l==="\\moveleft"){var m=o;o=n;n=m}this.Push(b.position().With({name:l,move:"horizontal",left:h.mspace().With({width:o,mathsize:h.SIZE.NORMAL}),right:h.mspace().With({width:n,mathsize:h.SIZE.NORMAL})}))},Hskip:function(l){this.Push(h.mspace().With({width:this.GetDimen(l),mathsize:h.SIZE.NORMAL}))},Rule:function(n,p){var l=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var m,q={width:l,height:o,depth:r};if(p!=="blank"){if(parseFloat(l)&&parseFloat(o)+parseFloat(r)){q.mathbackground=(this.stack.env.color||"black")}m=h.mpadded(h.mrow()).With(q)}else{m=h.mspace().With(q)}this.Push(m)},MakeBig:function(l,o,m){m*=f.p_height;m=String(m).replace(/(\.\d\d\d).+/,"$1")+"em";var n=this.GetDelimiter(l);this.Push(h.TeXAtom(h.mo(n).With({minsize:m,maxsize:m,fence:true,stretchy:true,symmetric:true})).With({texClass:o}))},BuildRel:function(l){var m=this.ParseUpTo(l,"\\over");var n=this.ParseArg(l);this.Push(h.TeXAtom(h.munderover(n,null,m)).With({mclass:h.TEXCLASS.REL}))},HBox:function(l,m){this.Push.apply(this,this.InternalMath(this.GetArgument(l),m))},FBox:function(l){this.Push(h.menclose.apply(h,this.InternalMath(this.GetArgument(l))).With({notation:"box"}))},Not:function(l){this.Push(b.not())},Dots:function(l){this.Push(b.dots().With({ldots:this.mmlToken(h.mo(h.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(h.mo(h.entity("#x22EF")).With({stretchy:false}))}))},Require:function(l){var m=this.GetArgument(l).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,m)},Extension:function(l,m,n){if(l&&!typeof(l)==="string"){l=l.name}m=d.extensionDir+"/"+m;if(!m.match(/\.js$/)){m+=".js"}if(!i.loaded[i.fileURL(m)]){if(l!=null){delete f[n||"macros"][l.replace(/^\\/,"")]}c.RestartAfter(i.Require(m))}},Macro:function(n,q,p,r){if(p){var m=[];if(r!=null){var l=this.GetBrackets(n);m.push(l==null?r:l)}for(var o=m.length;o<p;o++){m.push(this.GetArgument(n))}q=this.SubstituteArgs(m,q)}this.string=this.AddArgs(q,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(m,o,t,q,s,n,l,u){var r=this.GetNext();if(r===""){d.Error(["MissingArgFor","Missing argument for %1",m])}if(r==="{"){this.i++}else{this.string=r+"}"+this.string.slice(this.i+1);this.i=0}var p=b.array().With({requireClose:true,arraydef:{rowspacing:(n||"4pt"),columnspacing:(s||"1em")}});if(u){p.isCases=true}if(o||t){p.open=o;p.close=t}if(l==="D"){p.arraydef.displaystyle=true}if(q!=null){p.arraydef.columnalign=q}this.Push(p)},Entry:function(o){this.Push(b.cell().With({isEntry:true,name:o}));if(this.stack.Top().isCases){var n=this.string;var r=0,p=this.i,l=n.length;while(p<l){var s=n.charAt(p);if(s==="{"){r++;p++}else{if(s==="}"){if(r===0){l=0}else{r--;p++}}else{if(s==="&"&&r===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(s==="\\"){if(n.substr(p).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){l=0}else{p+=2}}else{p++}}}}}var q=n.substr(this.i,p-this.i);if(!q.match(/^\s*\\text[^a-zA-Z]/)){this.Push.apply(this,this.InternalMath(q));this.i=p}}},Cr:function(l){this.Push(b.cell().With({isCR:true,name:l}))},CrLaTeX:function(l){var p;if(this.string.charAt(this.i)==="["){p=this.GetBrackets(l,"").replace(/ /g,"");if(p&&!p.match(/^((-?(\.\d+|\d+(\.\d*)?))(pt|em|ex|mu|mm|cm|in|pc))$/)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",l])}}this.Push(b.cell().With({isCR:true,name:l,linebreak:true}));var o=this.stack.Top();if(o.isa(b.array)){if(p&&o.arraydef.rowspacing){var m=o.arraydef.rowspacing.split(/ /);if(!o.rowspacing){o.rowspacing=this.dimen2em(m[0])}while(m.length<o.table.length){m.push(this.Em(o.rowspacing))}m[o.table.length-1]=this.Em(Math.max(0,o.rowspacing+this.dimen2em(p)));o.arraydef.rowspacing=m.join(" ")}}else{if(p){this.Push(h.mspace().With({depth:p}))}this.Push(h.mo().With({linebreak:h.LINEBREAK.NEWLINE}))}},emPerInch:7.2,dimen2em:function(p){var n=p.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(pt|em|ex|mu|pc|in|mm|cm)/);var l=parseFloat(n[1]||"1"),o=n[2];if(o==="em"){return l}if(o==="ex"){return l*0.43}if(o==="pt"){return l/10}if(o==="pc"){return l*1.2}if(o==="in"){return l*this.emPerInch}if(o==="cm"){return l*this.emPerInch/2.54}if(o==="mm"){return l*this.emPerInch/25.4}if(o==="mu"){return l/18}return 0},Em:function(l){if(Math.abs(l)<0.0006){return"0em"}return l.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(m,n){if(n==null){n="solid"}var o=this.stack.Top();if(!o.isa(b.array)||o.data.length){d.Error(["Misplaced","Misplaced %1",m])}if(o.table.length==0){o.frame.push("top")}else{var l=(o.arraydef.rowlines?o.arraydef.rowlines.split(/ /):[]);while(l.length<o.table.length){l.push("none")}l[o.table.length-1]=n;o.arraydef.rowlines=l.join(" ")}},Begin:function(m){var n=this.GetArgument(m);if(n.match(/[^a-z*]/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",n])}var o=this.envFindName(n);if(!o){d.Error(["UnknownEnv","Unknown environment '%1'",n])}if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(!(o instanceof Array)){o=[o]}var l=b.begin().With({name:n,end:o[1],parse:this});if(o[0]&&this[o[0]]){l=this[o[0]].apply(this,[l].concat(o.slice(2)))}this.Push(l)},End:function(l){this.Push(b.end().With({name:this.GetArgument(l)}))},envFindName:function(l){return f.environment[l]},Equation:function(l,m){return m},ExtensionEnv:function(m,l){this.Extension(m.name,l,"environment")},Array:function(m,o,t,r,s,n,l,p){if(!r){r=this.GetArgument("\\begin{"+m.name+"}")}var u=("c"+r).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");r=r.replace(/[^clr]/g,"").split("").join(" ");r=r.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var q=b.array().With({arraydef:{columnalign:r,columnspacing:(s||"1em"),rowspacing:(n||"4pt")}});if(u.match(/[|:]/)){if(u.charAt(0).match(/[|:]/)){q.frame.push("left");q.frame.dashed=u.charAt(0)===":"}if(u.charAt(u.length-1).match(/[|:]/)){q.frame.push("right")}u=u.substr(1,u.length-2);q.arraydef.columnlines=u.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(o){q.open=this.convertDelimiter(o)}if(t){q.close=this.convertDelimiter(t)}if(l==="D"){q.arraydef.displaystyle=true}else{if(l){q.arraydef.displaystyle=false}}if(l==="S"){q.arraydef.scriptlevel=1}if(p){q.arraydef.useHeight=false}this.Push(m);return q},AlignedArray:function(l){var m=this.GetBrackets("\\begin{"+l.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),m)},setArrayAlign:function(m,l){l=this.trimSpaces(l||"");if(l==="t"){m.arraydef.align="baseline 1"}else{if(l==="b"){m.arraydef.align="baseline -1"}else{if(l==="c"){m.arraydef.align="center"}else{if(l){m.arraydef.align=l}}}}return m},convertDelimiter:function(l){if(l){l=f.delimiter[l]}if(l==null){return null}if(l instanceof Array){l=l[0]}if(l.length===4){l=String.fromCharCode(parseInt(l,16))}return l},trimSpaces:function(l){if(typeof(l)!="string"){return l}return l.replace(/^\s+|\s+$/g,"")},nextIsSpace:function(){return this.string.charAt(this.i).match(/[ \n\r\t]/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var l=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(l){this.i+=l[1].length;return l[1]}else{this.i++;return" "}},GetArgument:function(m,n){switch(this.GetNext()){case"":if(!n){d.Error(["MissingArgFor","Missing argument for %1",m])}return null;case"}":if(!n){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var l=++this.i,o=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":o++;break;case"}":if(--o==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(m,o){if(this.GetNext()!="["){return o}var l=++this.i,n=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":n++;break;case"\\":this.i++;break;case"}":if(n--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(n==0){return this.string.slice(l,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",m])},GetDelimiter:function(l){while(this.nextIsSpace()){this.i++}var m=this.string.charAt(this.i);if(this.i<this.string.length){this.i++;if(m=="\\"){m+=this.GetCS(l)}if(f.delimiter[m]!=null){return this.convertDelimiter(m)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",l])},GetDimen:function(m){var n;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){n=this.GetArgument(m);if(n.match(/^\s*([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return n.replace(/ /g,"")}}else{n=this.string.slice(this.i);var l=n.match(/^\s*(([-+]?(\.\d+|\d+(\.\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(l){this.i+=l[0].length;return l[1].replace(/ /g,"")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",m])},GetUpTo:function(n,o){while(this.nextIsSpace()){this.i++}var m=this.i,l,q,p=0;while(this.i<this.string.length){l=this.i;q=this.string.charAt(this.i++);switch(q){case"\\":q+=this.GetCS();break;case"{":p++;break;case"}":if(p==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",o])}p--;break}if(p==0&&q==o){return this.string.slice(m,l)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",o,n])},ParseArg:function(l){return d.Parse(this.GetArgument(l),this.stack.env).mml()},ParseUpTo:function(l,m){return d.Parse(this.GetUpTo(l,m),this.stack.env).mml()},InternalMath:function(q,s){var p={displaystyle:false};if(s!=null){p.scriptlevel=s}if(this.stack.env.font){p.mathvariant=this.stack.env.font}if(!q.match(/\\?\$|\\\(|\\(eq)?ref\s*\{/)){return[this.InternalText(q,p)]}var o=0,l=0,r,n="";var m=[];while(o<q.length){r=q.charAt(o++);if(r==="$"){if(n==="$"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-1),{}).mml().With(p)));n="";l=o}else{if(n===""){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="$";l=o}}}else{if(r==="}"&&n==="}"){m.push(h.TeXAtom(d.Parse(q.slice(l,o),{}).mml().With(p)));n="";l=o}else{if(r==="\\"){if(n===""&&q.substr(o).match(/^(eq)?ref\s*\{/)){if(l<o-1){m.push(this.InternalText(q.slice(l,o-1),p))}n="}";l=o-1}else{r=q.charAt(o++);if(r==="("&&n===""){if(l<o-2){m.push(this.InternalText(q.slice(l,o-2),p))}n=")";l=o}else{if(r===")"&&n===")"){m.push(h.TeXAtom(d.Parse(q.slice(l,o-2),{}).mml().With(p)));n="";l=o}else{if(r==="$"&&n===""){o--;q=q.substr(0,o-1)+q.substr(o)}}}}}}}}if(n!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}if(l<q.length){m.push(this.InternalText(q.slice(l),p))}return m},InternalText:function(m,l){m=m.replace(/^\s+/,g).replace(/\s+$/,g);return h.mtext(h.chars(m)).With(l)},SubstituteArgs:function(m,l){var p="";var o="";var q;var n=0;while(n<l.length){q=l.charAt(n++);if(q==="\\"){p+=q+l.charAt(n++)}else{if(q==="#"){q=l.charAt(n++);if(q==="#"){p+=q}else{if(!q.match(/[1-9]/)||q>m.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}o=this.AddArgs(this.AddArgs(o,p),m[q-1]);p=""}}else{p+=q}}}return this.AddArgs(o,p)},AddArgs:function(m,l){if(l.match(/^[a-z]/i)&&m.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){m+=" "}if(m.length+l.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return m+l}});d.Augment({Stack:e,Parse:a,Definitions:f,Startup:k,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(l){var m,n=false,p=MathJax.HTML.getScript(l);var r=(l.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var q={math:p,display:r,script:l};this.prefilterHooks.Execute(q);p=q.math;try{m=d.Parse(p).mml()}catch(o){if(!o.texError){throw o}m=this.formatError(o,p,r,l);n=true}if(m.inferred){m=h.apply(MathJax.ElementJax,m.data)}else{m=h(m)}if(r){m.root.display="block"}if(n){m.texError=true}q.math=m;this.postfilterHooks.Execute(q);return q.math},prefilterMath:function(m,n,l){return m},postfilterMath:function(m,n,l){this.combineRelations(m.root);return m},formatError:function(o,n,p,l){var m=o.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",m,n,p,l]);return h.Error(m)},Error:function(l){if(l instanceof Array){l=j.apply(j,l)}throw c.Insert(Error(l),{texError:true})},Macro:function(l,m,n){f.macros[l]=["Macro"].concat([].slice.call(arguments,1));f.macros[l].isUser=true},fenced:function(n,m,o){var l=h.mrow();l.open=n;l.close=o;if(n){l.Append(h.mo(n).With({fence:true,stretchy:true,texClass:h.TEXCLASS.OPEN}))}if(m.type==="mrow"){l.Append.apply(l,m.data)}else{l.Append(m)}if(o){l.Append(h.mo(o).With({fence:true,stretchy:true,texClass:h.TEXCLASS.CLOSE}))}return l},combineRelations:function(p){var q,l,o,n;for(q=0,l=p.data.length;q<l;q++){if(p.data[q]){if(p.isa(h.mrow)){while(q+1<l&&(o=p.data[q])&&(n=p.data[q+1])&&o.isa(h.mo)&&n.isa(h.mo)&&o.Get("texClass")===h.TEXCLASS.REL&&n.Get("texClass")===h.TEXCLASS.REL){if(o.variantForm==n.variantForm&&o.Get("mathvariant")==n.Get("mathvariant")&&o.style==n.style&&o["class"]==n["class"]&&!o.id&&!n.id){o.Append.apply(o,n.data);p.data.splice(q+1,1);l--}else{o.rspace=n.lspace="0pt";q++}}}if(!p.data[q].isToken){this.combineRelations(p.data[q])}}}}});d.prefilterHooks.Add(function(l){l.math=d.prefilterMath(l.math,l.display,l.script)});d.postfilterHooks.Add(function(l){l.math=d.postfilterMath(l.math,l.display,l.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(e){this.Parse(e)},Parse:function(g){var h;if(typeof g!=="string"){h=g.parentNode}else{h=c.ParseXML(this.preProcessMath.call(this,g));if(h==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var f=h.getElementsByTagName("parsererror")[0];if(f){c.Error(["ParsingError","Error parsing MathML: %1",f.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(h.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(h.firstChild.nodeName.toLowerCase()==="html"){var e=h.getElementsByTagName("h1")[0];if(e&&e.textContent==="XML parsing error"&&e.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(e.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(h.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+h.firstChild.nodeName+">"])}this.mml=this.MakeMML(h.firstChild)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2])}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[f]});if(e.texClass===a.TEXCLASS.OP){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);if(k!=null){if(k.toLowerCase()==="true"){k=true}else{if(k.toLowerCase()==="false"){k=false}}if(g.defaults[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if(e.isToken&&!e.mmlSelfClosing){var o=f.nodeValue.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);e.Append(a.chars(this.trimSpace(o)))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild;this.prefilterHooks.Execute(i);h=i.math}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h;this.prefilterHooks.Execute(i);h=i.math}try{f=c.Parse(h).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);this.postfilterHooks.Execute(i);return i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(e instanceof Array){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML=e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>");return this.div},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(ag){var k;var aa=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(i){if(i.parent){i.parent.removeChild(i)}if(this.lastChild){this.lastChild.nextSibling=i}if(!this.firstChild){this.firstChild=i}this.childNodes.push(i);i.parent=this;this.lastChild=i;return i},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.childNodes[ak]=al;al.nextSibling=aj.nextSibling;aj.nextSibling=aj.parent=null;return aj},toString:function(){return"{"+this.childNodes.join("")+"}"}});var E=function(){k=MathJax.ElementJax.mml;var i=k.mbase.prototype.Init;k.mbase.Augment({firstChild:null,lastChild:null,nodeValue:"",nextSibling:null,Init:function(){var ai=i.apply(this,arguments)||this;ai.childNodes=ai.data;ai.nodeName=ai.type;return ai},appendChild:function(al){if(al.parent){al.parent.removeChild(al)}var aj=arguments;if(al.isa(aa)){aj=al.childNodes;al.data=al.childNodes=[];al.firstChild=al.lastChild=null}for(var ak=0,ai=aj.length;ak<ai;ak++){al=aj[ak];if(this.lastChild){this.lastChild.nextSibling=al}if(!this.firstChild){this.firstChild=al}this.Append(al);this.lastChild=al;this.nodeValue+=al.nodeValue}return al},removeChild:function(ak){for(var aj=0,ai=this.childNodes.length;aj<ai;aj++){if(this.childNodes[aj]===ak){break}}if(aj===ai){return}this.childNodes.splice(aj,1);if(ak===this.firstChild){this.firstChild=ak.nextSibling}if(ak===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(aj){this.childNodes[aj-1].nextSibling=ak.nextSibling}this.nodeValue="";for(aj=0,ai=this.childNodes.length;aj<ai;aj++){this.nodeValue+=this.childNodes[aj].nodeValue}ak.nextSibling=ak.parent=null;return ak},replaceChild:function(al,aj){for(var ak=0,ai=this.childNodes.length;ak<ai;ak++){if(this.childNodes[ak]===aj){break}}if(ak){this.childNodes[ak-1].nextSibling=al}else{this.firstChild=al}if(ak>=ai-1){this.lastChild=al}this.SetData(ak,al);al.nextSibling=aj.nextSibling;this.nodeValue="";for(ak=0,ai=this.childNodes.length;ak<ai;ak++){this.nodeValue+=this.childNodes[ak].nodeValue}aj.nextSibling=aj.parent=null;return aj},setAttribute:function(ai,aj){this[ai]=aj}})};var S={};var g={getElementById:true,createElementNS:function(ai,i){return k[i]()},createTextNode:function(i){return k.chars(i).With({nodeValue:i})},createDocumentFragment:function(){return aa()}};var O={appName:"MathJax"};var ac;var I="red";var ad="serif";var t=true;var C=true;var f=".";var q=g.createElementNS==null;function V(i){if(q){return g.createElement(i)}else{return g.createElementNS("http://www.w3.org/1999/xhtml",i)}}var J=[61237,8492,61238,61239,8496,8497,61240,8459,8464,61241,61242,8466,8499,61243,61244,61245,61246,8475,61247,61248,61249,61250,61251,61252,61253,61254];var N=[61277,61278,8493,61279,61280,61281,61282,8460,8465,61283,61284,61285,61286,61287,61288,61289,61290,8476,61291,61292,61293,61294,61295,61296,61297,8488];var D=[61324,61325,8450,61326,61327,61328,61329,8461,61330,61331,61332,61333,61334,8469,61335,8473,8474,8477,61336,61337,61338,61339,61340,61341,61342,8484];var d=0,H=1,X=2,m=3,b=4,l=5,a=6,P=7,Z=8,r=9,ab=10;var j={input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:H},af={input:"root",tag:"mroot",output:"root",tex:null,ttype:X},A={input:"frac",tag:"mfrac",output:"/",tex:null,ttype:X},Q={input:"/",tag:"mfrac",output:"/",tex:null,ttype:m},o={input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:X},s={input:"_",tag:"msub",output:"_",tex:null,ttype:m},h={input:"^",tag:"msup",output:"^",tex:null,ttype:m},ah={input:"text",tag:"mtext",output:"text",tex:null,ttype:ab},x={input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:ab},p={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:ab};var G=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:d},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:d},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:d},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:d},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:d},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:d},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:d},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:d},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:d},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:d},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:d},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:d},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:d},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:d},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:d},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:d},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:d},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:d},{input:"phi",tag:"mi",output:"\u03C6",tex:null,ttype:d},{input:"varphi",tag:"mi",output:"\u03D5",tex:null,ttype:d},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:d},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:d},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:d},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:d},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:d},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:d},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:d},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:d},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:d},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:d},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:d},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:d},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:d},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:d},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:d},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:d},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:d},{input:"**",tag:"mo",output:"\u22C6",tex:"star",ttype:d},{input:"//",tag:"mo",output:"/",tex:null,ttype:d},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:d},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:d},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:d},{input:"-:",tag:"mo",output:"\u00F7",tex:"divide",ttype:d},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:d},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:d},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:d},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:d},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:P},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:P},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:d},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:P},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:d},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:P},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:d},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:P},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:d},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:P},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:d},{input:":=",tag:"mo",output:":=",tex:null,ttype:d},{input:"lt",tag:"mo",output:"<",tex:null,ttype:d},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:d},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:d},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:d},{input:"geq",tag:"mo",output:"\u2265",tex:null,ttype:d},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:d},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:d},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:d},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:d},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:d},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:d},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:d},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:d},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:d},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:d},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:d},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:d},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:d},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:d},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:d},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:d},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:d},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:d},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:d},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:d},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:d},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:d},{input:"(",tag:"mo",output:"(",tex:null,ttype:b},{input:")",tag:"mo",output:")",tex:null,ttype:l},{input:"[",tag:"mo",output:"[",tex:null,ttype:b},{input:"]",tag:"mo",output:"]",tex:null,ttype:l},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:l},{input:"|",tag:"mo",output:"|",tex:null,ttype:r},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:l},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:l},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:l,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:d},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:Z},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:Z},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:Z},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:Z},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:d},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:d},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:d},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:d},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:d},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:d},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:d},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:d},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:d},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:d},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:d},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:d},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:d},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:d},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:d},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:d},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:d},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:d},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:d},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:d},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:d},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:d},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:d},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:d},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:d},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:d},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:d},{input:"f",tag:"mi",output:"f",tex:null,ttype:H,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:H,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:P},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:P},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:H,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:H,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:H,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:H,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:H,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:H,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:H,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:H,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:H,func:true},{input:"log",tag:"mo",output:"log",tex:null,ttype:H,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:H,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:H,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:d},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:d},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:H,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:H,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:d},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:d},{input:"min",tag:"mo",output:"min",tex:null,ttype:P},{input:"max",tag:"mo",output:"max",tex:null,ttype:P},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:d},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:d},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:d},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:d},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:d},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:d},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:d},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:d},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:d},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:d},j,af,A,Q,o,s,h,{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:H,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:H,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:H,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:H,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:H,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:H,acc:true},ah,x,p,{input:"bb",tag:"mstyle",atname:"fontweight",atval:"bold",output:"bb",tex:null,ttype:H},{input:"mathbf",tag:"mstyle",atname:"fontweight",atval:"bold",output:"mathbf",tex:null,ttype:H},{input:"sf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"sf",tex:null,ttype:H},{input:"mathsf",tag:"mstyle",atname:"fontfamily",atval:"sans-serif",output:"mathsf",tex:null,ttype:H},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:H,codes:D},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:H,codes:D},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:H,codes:J},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:H,codes:J},{input:"tt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"tt",tex:null,ttype:H},{input:"mathtt",tag:"mstyle",atname:"fontfamily",atval:"monospace",output:"mathtt",tex:null,ttype:H},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:H,codes:N},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:H,codes:N}];function W(ai,i){if(ai.input>i.input){return 1}else{return -1}}var U=[];function v(){var aj=[],ai;for(ai=0;ai<G.length;ai++){if(G[ai].tex){aj[aj.length]={input:G[ai].tex,tag:G[ai].tag,output:G[ai].output,ttype:G[ai].ttype}}}G=G.concat(aj);G.sort(W);for(ai=0;ai<G.length;ai++){U[ai]=G[ai].input}}var Y="http://www.w3.org/1998/Math/MathML";function R(i){if(q){return g.createElement("m:"+i)}else{return g.createElementNS(Y,i)}}function M(i,aj){if(q){var ai=g.createElement("m:"+i)}else{ai=g.createElementNS(Y,i)}ai.appendChild(aj);return ai}function B(i,ai){G=G.concat([{input:i,tag:"mo",output:ai,tex:null,ttype:Z}]);G.sort(W);for(ac=0;ac<G.length;ac++){U[ac]=G[ac].input}}function u(ak,al){var ai;if(ak.charAt(al)=="\\"&&ak.charAt(al+1)!="\\"&&ak.charAt(al+1)!=" "){ai=ak.slice(al+1)}else{ai=ak.slice(al)}for(var aj=0;aj<ai.length&&ai.charCodeAt(aj)<=32;aj=aj+1){}return ai.slice(aj)}function c(aj,am,an){if(an==0){var al,ai;an=-1;al=aj.length;while(an+1<al){ai=(an+al)>>1;if(aj[ai]<am){an=ai}else{al=ai}}return al}else{for(var ak=an;ak<aj.length&&aj[ak]<am;ak++){}}return ak}function n(ao){var ai=0;var aj=0;var al;var ar;var aq;var am="";var an=true;for(var ak=1;ak<=ao.length&&an;ak++){ar=ao.slice(0,ak);aj=ai;ai=c(U,ar,aj);if(ai<U.length&&ao.slice(0,U[ai].length)==U[ai]){am=U[ai];al=ai;ak=am.length}an=ai<U.length&&ao.slice(0,U[ai].length)>=U[ai]}y=F;if(am!=""){F=G[al].ttype;return G[al]}F=d;ai=1;ar=ao.slice(0,1);var ap=true;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}if(ar==f){ar=ao.slice(ai,ai+1);if("0"<=ar&&ar<="9"){ap=false;ai++;while("0"<=ar&&ar<="9"&&ai<=ao.length){ar=ao.slice(ai,ai+1);ai++}}}if((ap&&ai>1)||ai>2){ar=ao.slice(0,ai-1);aq="mn"}else{ai=2;ar=ao.slice(0,1);aq=(("A">ar||ar>"Z")&&("a">ar||ar>"z")?"mo":"mi")}if(ar=="-"&&y==m){F=m;return{input:ar,tag:aq,output:ar,ttype:H,func:true}}return{input:ar,tag:aq,output:ar,ttype:d}}function T(ai){var i;if(ai.nodeName=="mrow"){i=ai.firstChild.firstChild.nodeValue;if(i=="("||i=="["||i=="{"){ai.removeChild(ai.firstChild)}}if(ai.nodeName=="mrow"){i=ai.lastChild.firstChild.nodeValue;if(i==")"||i=="]"||i=="}"){ai.removeChild(ai.lastChild)}}}var K,y,F;function L(ao){var ak,aj,ar,am,aq,an=g.createDocumentFragment();ao=u(ao,0);ak=n(ao);if(ak==null||ak.ttype==l&&K>0){return[null,ao]}if(ak.ttype==Z){ao=ak.output+u(ao,ak.input.length);ak=n(ao)}switch(ak.ttype){case P:case d:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao];case b:K++;ao=u(ao,ak.input.length);ar=w(ao,true);K--;if(typeof ak.invisible=="boolean"&&ak.invisible){aj=M("mrow",ar[0])}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0])}return[aj,ar[1]];case ab:if(ak!=p){ao=u(ao,ak.input.length)}if(ao.charAt(0)=="{"){am=ao.indexOf("}")}else{if(ao.charAt(0)=="("){am=ao.indexOf(")")}else{if(ao.charAt(0)=="["){am=ao.indexOf("]")}else{if(ak==p){am=ao.slice(1).indexOf('"')+1}else{am=0}}}}if(am==-1){am=ao.length}aq=ao.slice(1,am);if(aq.charAt(0)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}an.appendChild(M(ak.tag,g.createTextNode(aq)));if(aq.charAt(aq.length-1)==" "){aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj)}ao=u(ao,am+1);return[M("mrow",an),ao];case H:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M(ak.tag,g.createTextNode(ak.output)),ao]}if(typeof ak.func=="boolean"&&ak.func){aq=ao.charAt(0);if(aq=="^"||aq=="_"||aq=="/"||aq=="|"||aq==","){return[M(ak.tag,g.createTextNode(ak.output)),ao]}else{aj=M("mrow",M(ak.tag,g.createTextNode(ak.output)));aj.appendChild(ar[0]);return[aj,ar[1]]}}T(ar[0]);if(ak.input=="sqrt"){return[M(ak.tag,ar[0]),ar[1]]}else{if(typeof ak.acc=="boolean"&&ak.acc){aj=M(ak.tag,ar[0]);aj.appendChild(M("mo",g.createTextNode(ak.output)));return[aj,ar[1]]}else{if(!q&&typeof ak.codes!="undefined"){for(am=0;am<ar[0].childNodes.length;am++){if(ar[0].childNodes[am].nodeName=="mi"||ar[0].nodeName=="mi"){aq=(ar[0].nodeName=="mi"?ar[0].firstChild.nodeValue:ar[0].childNodes[am].firstChild.nodeValue);var ap=[];for(var al=0;al<aq.length;al++){if(aq.charCodeAt(al)>64&&aq.charCodeAt(al)<91){ap=ap+String.fromCharCode(ak.codes[aq.charCodeAt(al)-65])}else{ap=ap+aq.charAt(al)}}if(ar[0].nodeName=="mi"){ar[0]=R("mo").appendChild(g.createTextNode(ap))}else{ar[0].replaceChild(R("mo").appendChild(g.createTextNode(ap)),ar[0].childNodes[am])}}}}aj=M(ak.tag,ar[0]);aj.setAttribute(ak.atname,ak.atval);return[aj,ar[1]]}}case X:ao=u(ao,ak.input.length);ar=L(ao);if(ar[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ar[0]);var ai=L(ar[1]);if(ai[0]==null){return[M("mo",g.createTextNode(ak.input)),ao]}T(ai[0]);if(ak.input=="root"||ak.input=="stackrel"){an.appendChild(ai[0])}an.appendChild(ar[0]);if(ak.input=="frac"){an.appendChild(ai[0])}return[M(ak.tag,an),ai[1]];case m:ao=u(ao,ak.input.length);return[M("mo",g.createTextNode(ak.output)),ao];case a:ao=u(ao,ak.input.length);aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);an.appendChild(M(ak.tag,g.createTextNode(ak.output)));aj=R("mspace");aj.setAttribute("width","1ex");an.appendChild(aj);return[M("mrow",an),ao];case r:K++;ao=u(ao,ak.input.length);ar=w(ao,false);K--;aq="";if(ar[0].lastChild!=null){aq=ar[0].lastChild.firstChild.nodeValue}if(aq=="|"){aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);aj.appendChild(ar[0]);return[aj,ar[1]]}else{aj=M("mo",g.createTextNode(ak.output));aj=M("mrow",aj);return[aj,ao]}default:ao=u(ao,ak.input.length);return[M(ak.tag,g.createTextNode(ak.output)),ao]}}function z(an){var al,ao,am,ak,i,aj;an=u(an,0);ao=n(an);i=L(an);ak=i[0];an=i[1];al=n(an);if(al.ttype==m&&al.input!="/"){an=u(an,al.input.length);i=L(an);if(i[0]==null){i[0]=M("mo",g.createTextNode("\u25A1"))}else{T(i[0])}an=i[1];if(al.input=="_"){am=n(an);aj=(ao.ttype==P);if(am.input=="^"){an=u(an,am.input.length);var ai=L(an);T(ai[0]);an=ai[1];ak=M((aj?"munderover":"msubsup"),ak);ak.appendChild(i[0]);ak.appendChild(ai[0]);ak=M("mrow",ak)}else{ak=M((aj?"munder":"msub"),ak);ak.appendChild(i[0])}}else{ak=M(al.tag,ak);ak.appendChild(i[0])}}return[ak,an]}function w(aq,ap){var av,ar,am,ay,an=g.createDocumentFragment();do{aq=u(aq,0);am=z(aq);ar=am[0];aq=am[1];av=n(aq);if(av.ttype==m&&av.input=="/"){aq=u(aq,av.input.length);am=z(aq);if(am[0]==null){am[0]=M("mo",g.createTextNode("\u25A1"))}else{T(am[0])}aq=am[1];T(ar);ar=M(av.tag,ar);ar.appendChild(am[0]);an.appendChild(ar);av=n(aq)}else{if(ar!=undefined){an.appendChild(ar)}}}while((av.ttype!=l&&(av.ttype!=r||ap)||K==0)&&av!=null&&av.output!="");if(av.ttype==l||av.ttype==r){var az=an.childNodes.length;if(az>0&&an.childNodes[az-1].nodeName=="mrow"&&az>1&&an.childNodes[az-2].nodeName=="mo"&&an.childNodes[az-2].firstChild.nodeValue==","){var aB=an.childNodes[az-1].lastChild.firstChild.nodeValue;if(aB==")"||aB=="]"){var aj=an.childNodes[az-1].firstChild.firstChild.nodeValue;if(aj=="("&&aB==")"&&av.output!="}"||aj=="["&&aB=="]"){var ak=[];var aw=true;var at=an.childNodes.length;for(ay=0;aw&&ay<at;ay=ay+2){ak[ay]=[];ar=an.childNodes[ay];if(aw){aw=ar.nodeName=="mrow"&&(ay==at-1||ar.nextSibling.nodeName=="mo"&&ar.nextSibling.firstChild.nodeValue==",")&&ar.firstChild.firstChild.nodeValue==aj&&ar.lastChild.firstChild.nodeValue==aB}if(aw){for(var ax=0;ax<ar.childNodes.length;ax++){if(ar.childNodes[ax].firstChild.nodeValue==","){ak[ay][ak[ay].length]=ax}}}if(aw&&ay>1){aw=ak[ay].length==ak[ay-2].length}}if(aw){var al,ai,ao,au,aA=g.createDocumentFragment();for(ay=0;ay<at;ay=ay+2){al=g.createDocumentFragment();ai=g.createDocumentFragment();ar=an.firstChild;ao=ar.childNodes.length;au=0;ar.removeChild(ar.firstChild);for(ax=1;ax<ao-1;ax++){if(typeof ak[ay][au]!="undefined"&&ax==ak[ay][au]){ar.removeChild(ar.firstChild);al.appendChild(M("mtd",ai));au++}else{ai.appendChild(ar.firstChild)}}al.appendChild(M("mtd",ai));if(an.childNodes.length>2){an.removeChild(an.firstChild);an.removeChild(an.firstChild)}aA.appendChild(M("mtr",al))}ar=M("mtable",aA);if(typeof av.invisible=="boolean"&&av.invisible){ar.setAttribute("columnalign","left")}an.replaceChild(ar,an.firstChild)}}}}aq=u(aq,av.input.length);if(typeof av.invisible!="boolean"||!av.invisible){ar=M("mo",g.createTextNode(av.output));an.appendChild(ar)}}return[an,aq]}function e(aj){var ai=R("mstyle");if(I!=""){ai.setAttribute("mathcolor",I)}if(t){ai.setAttribute("displaystyle","true")}if(ad!=""){ai.setAttribute("fontfamily",ad)}K=0;ai.appendChild(w(aj.replace(/^\s+/g,""),false)[0]);ai=M("math",ai);if(C){ai.setAttribute("title",aj.replace(/\s+/g," "))}if(ad!=""&&(q||ad!="serif")){var i=V("font");i.setAttribute("face",ad);i.appendChild(ai);return i}return ai}C=false;ad="";I="";(function(){for(var aj=0,ai=G.length;aj<ai;aj++){if(G[aj].codes){delete G[aj].codes}if(G[aj].func){G[aj].tag="mi"}if(G[aj].atname==="fontfamily"||G[aj].atname==="fontweight"){G[aj].atname="mathvariant"}}})();G.push({input:"gt",tag:"mo",output:">",tex:null,ttype:d},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:d},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:d},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:d},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:d},{input:"arcsin",tag:"mi",output:"arcsin",tex:null,ttype:H,func:true},{input:"arccos",tag:"mi",output:"arccos",tex:null,ttype:H,func:true},{input:"arctan",tag:"mi",output:"arctan",tex:null,ttype:H,func:true},{input:"coth",tag:"mi",output:"coth",tex:null,ttype:H,func:true},{input:"sech",tag:"mi",output:"sech",tex:null,ttype:H,func:true},{input:"csch",tag:"mi",output:"csch",tex:null,ttype:H,func:true},{input:"abs",tag:"mi",output:"abs",tex:null,ttype:H,func:true},{input:"exp",tag:"mi",output:"exp",tex:null,ttype:H,func:true},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:H,acc:true});ag.Augment({AM:{Init:function(){t=ag.config.displaystyle;f=(ag.config.decimal||ag.config.decimalsign);E();v()},Augment:function(i){for(var ai in i){if(i.hasOwnProperty(ai)){switch(ai){case"displaystyle":t=i[ai];break;case"decimal":decimal=i[ai];break;case"parseMath":e=i[ai];break;case"parseExpr":w=i[ai];break;case"parseIexpr":z=i[ai];break;case"parseSexpr":L=i[ai];break;case"removeBrackets":T=i[ai];break;case"getSymbol":n=i[ai];break;case"position":c=i[ai];break;case"removeCharsAndBlanks":u=i[ai];break;case"createMmlNode":M=i[ai];break;case"createElementMathML":R=i[ai];break;case"createElementXHTML":V=i[ai];break;case"initSymbols":v=i[ai];break;case"compareNames":comareNames=i[ai];break}this[ai]=i[ai]}}},parseMath:e,parseExpr:w,parseIexpr:z,parseSexr:L,removeBrackets:T,getSymbol:n,position:c,removeCharsAndBlanks:u,createMmlNode:M,createElementMathML:R,createElementXHTML:V,initSymbols:v,compareNames:W,createDocumentFragment:aa,document:g,define:B,symbols:G,names:U,TOKEN:{CONST:d,UNARY:H,BINARY:X,INFIX:m,LEFTBRACKET:b,RIGHTBRACKET:l,SPACE:a,UNDEROVER:P,DEFINITION:Z,LEFTRIGHT:r,TEXT:ab}}});var ae=[S,O];ae=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};this.prefilterHooks.Execute(g);f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML.js");
diff --git a/config/local/local.js b/config/local/local.js
index 16c44a9aa..62a0f7b66 100644
--- a/config/local/local.js
+++ b/config/local/local.js
@@ -12,7 +12,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2013 The MathJax Consortium
+ *  Copyright (c) 2009-2014 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/extensions/FontWarnings.js b/extensions/FontWarnings.js
index 8cd2577fb..1e8d38dae 100644
--- a/extensions/FontWarnings.js
+++ b/extensions/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(b,d){var i="2.3";var a="http://www.stixfonts.org/";var f="https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf";var h=b.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"},Message:{webFont:[["closeBox"],["webFont","MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder."],["fonts"]],imageFonts:[["closeBox"],["imageFonts","MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer."],["fonts"],["webFonts"]],noFonts:[["closeBox"],["noFonts","MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them.  Some characters may not show up properly, or possibly not at all."],["fonts"],["webFonts"]]},HTML:{closeBox:[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){if(c.div&&c.fade===0){if(c.timer){clearTimeout(c.timer)}c.div.style.display="none"}}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]]],webFonts:[["p"],["webFonts","Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page."]],fonts:[["p"],["fonts","MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",a,f]],STIXfonts:[["p"],["STIXPage","This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",a]],TeXfonts:[["p"],["TeXPage","This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience.",f]]},removeAfter:12*1000,fadeoutSteps:10,fadeoutTime:1.5*1000});if(MathJax.Hub.Browser.isIE9&&document.documentMode>=9){delete h.messageStyle.filter}var c={div:null,fade:0};var e=function(m){if(c.div){return}var j=MathJax.OutputJax["HTML-CSS"],n=document.body;if(b.Browser.isMSIE){if(h.messageStyle.position==="fixed"){MathJax.Message.Init();n=document.getElementById("MathJax_MSIE_Frame");h.messageStyle.position="absolute"}}else{delete h.messageStyle.filter}h.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var k=0;while(k<m.length){if(m[k] instanceof Array){if(m[k].length===1&&h.HTML[m[k][0]]){m.splice.apply(m,[k,1].concat(h.HTML[m[k][0]]))}else{if(typeof m[k][1]==="string"){var l=MathJax.Localization.lookupPhrase(["FontWarnings",m[k][0]],m[k][1]);l=MathJax.Localization.processMarkdown(l,m[k].slice(2),"FontWarnings");m.splice.apply(m,[k,1].concat(l));k+=l.length}else{k++}}}else{k++}}c.div=j.addElement(n,"div",{id:"MathJax_FontWarning",style:h.messageStyle},m);MathJax.Localization.setCSS(c.div);if(h.removeAfter){b.Register.StartupHook("End",function(){c.timer=setTimeout(g,h.removeAfter)})}d.Cookie.Set("fontWarn",{warned:true})};var g=function(){c.fade++;if(c.timer){delete c.timer}if(c.fade<h.fadeoutSteps){var j=1-c.fade/h.fadeoutSteps;c.div.style.opacity=j;c.div.style.filter="alpha(opacity="+Math.floor(100*j)+")";setTimeout(g,h.fadeoutTime/h.fadeoutSteps)}else{c.div.style.display="none"}};if(!d.Cookie.Get("fontWarn").warned){b.Startup.signal.Interest(function(m){if(m.match(/HTML-CSS Jax - /)&&!c.div){var j=MathJax.OutputJax["HTML-CSS"],n=j.config.availableFonts,l;var k=(n&&n.length);if(!k){h.HTML.fonts=[""]}else{if(n.length===1){h.HTML.fonts=h.HTML[n[0]+"fonts"]}}if(j.allowWebFonts){h.HTML.webfonts=[""]}if(m.match(/- Web-Font/)){if(k){l="webFont"}}else{if(m.match(/- using image fonts/)){l="imageFonts"}else{if(m.match(/- no valid font/)){l="noFonts"}}}if(l&&h.Message[l]){MathJax.Localization.loadDomain("FontWarnings",[e,h.Message[l]])}}})}})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/FontWarnings.js");
+(function(b,d){var i="2.4-beta";var a="http://www.stixfonts.org/";var f="https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf";var h=b.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"},Message:{webFont:[["closeBox"],["webFont","MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder."],["fonts"]],imageFonts:[["closeBox"],["imageFonts","MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer."],["fonts"],["webFonts"]],noFonts:[["closeBox"],["noFonts","MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them.  Some characters may not show up properly, or possibly not at all."],["fonts"],["webFonts"]]},HTML:{closeBox:[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){if(c.div&&c.fade===0){if(c.timer){clearTimeout(c.timer)}c.div.style.display="none"}}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]]],webFonts:[["p"],["webFonts","Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page."]],fonts:[["p"],["fonts","MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",a,f]],STIXfonts:[["p"],["STIXPage","This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",a]],TeXfonts:[["p"],["TeXPage","This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience.",f]]},removeAfter:12*1000,fadeoutSteps:10,fadeoutTime:1.5*1000});if(MathJax.Hub.Browser.isIE9&&document.documentMode>=9){delete h.messageStyle.filter}var c={div:null,fade:0};var e=function(m){if(c.div){return}var j=MathJax.OutputJax["HTML-CSS"],n=document.body;if(b.Browser.isMSIE){if(h.messageStyle.position==="fixed"){MathJax.Message.Init();n=document.getElementById("MathJax_MSIE_Frame")||n;if(n!==document.body){h.messageStyle.position="absolute"}}}else{delete h.messageStyle.filter}h.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var k=0;while(k<m.length){if(m[k] instanceof Array){if(m[k].length===1&&h.HTML[m[k][0]]){m.splice.apply(m,[k,1].concat(h.HTML[m[k][0]]))}else{if(typeof m[k][1]==="string"){var l=MathJax.Localization.lookupPhrase(["FontWarnings",m[k][0]],m[k][1]);l=MathJax.Localization.processMarkdown(l,m[k].slice(2),"FontWarnings");m.splice.apply(m,[k,1].concat(l));k+=l.length}else{k++}}}else{k++}}c.div=j.addElement(n,"div",{id:"MathJax_FontWarning",style:h.messageStyle},m);MathJax.Localization.setCSS(c.div);if(h.removeAfter){b.Register.StartupHook("End",function(){c.timer=setTimeout(g,h.removeAfter)})}d.Cookie.Set("fontWarn",{warned:true})};var g=function(){c.fade++;if(c.timer){delete c.timer}if(c.fade<h.fadeoutSteps){var j=1-c.fade/h.fadeoutSteps;c.div.style.opacity=j;c.div.style.filter="alpha(opacity="+Math.floor(100*j)+")";setTimeout(g,h.fadeoutTime/h.fadeoutSteps)}else{c.div.style.display="none"}};if(!d.Cookie.Get("fontWarn").warned){b.Startup.signal.Interest(function(m){if(m.match(/HTML-CSS Jax - /)&&!c.div){var j=MathJax.OutputJax["HTML-CSS"],n=j.config.availableFonts,l;var k=(n&&n.length);if(!k){h.HTML.fonts=[""]}else{if(n.length===1){h.HTML.fonts=h.HTML[n[0]+"fonts"]}}if(j.allowWebFonts){h.HTML.webfonts=[""]}if(m.match(/- Web-Font/)){if(k){l="webFont"}}else{if(m.match(/- using image fonts/)){l="imageFonts"}else{if(m.match(/- no valid font/)){l="noFonts"}}}if(l&&h.Message[l]){MathJax.Localization.loadDomain("FontWarnings",[e,h.Message[l]])}}})}})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/FontWarnings.js");
diff --git a/extensions/HTML-CSS/handle-floats.js b/extensions/HTML-CSS/handle-floats.js
index 6eb109ec2..2ce3f59f2 100644
--- a/extensions/HTML-CSS/handle-floats.js
+++ b/extensions/HTML-CSS/handle-floats.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["HTML-CSS/handle-floats"]={version:"2.3"};MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax_Display":{display:"table-cell",padding:"1em 0 ! important",width:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8?"100%":"1000em")}}}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"],b=a.Translate;a.Augment({Translate:function(c,f){b.call(this,c,f);if(c.MathJax.elementJax.HTMLCSS.display){var e=c.nextSibling;if(!e||e.className!=="MathJax_MSIE_Separator"){var d=a.Element("span",{className:"MathJax_MSIE_Separator"});c.parentNode.insertBefore(d,e)}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS handle-floats Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/HTML-CSS/handle-floats.js");
+MathJax.Extension["HTML-CSS/handle-floats"]={version:"2.4-beta"};MathJax.Hub.Config({"HTML-CSS":{styles:{".MathJax_Display":{display:"table-cell",padding:"1em 0 ! important",width:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8?"100%":"1000em")}}}});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.OutputJax["HTML-CSS"],b=a.Translate;a.Augment({Translate:function(c,f){b.call(this,c,f);if(c.MathJax.elementJax.HTMLCSS.display){var e=c.nextSibling;if(!e||e.className!=="MathJax_MSIE_Separator"){var d=a.Element("span",{className:"MathJax_MSIE_Separator"});c.parentNode.insertBefore(d,e)}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS handle-floats Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/HTML-CSS/handle-floats.js");
diff --git a/extensions/HelpDialog.js b/extensions/HelpDialog.js
index 9263dbe7b..fde07c1f4 100644
--- a/extensions/HelpDialog.js
+++ b/extensions/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(d,f,g,c,h){var e=MathJax.Extension.Help={version:"2.3"};var b="http://www.stixfonts.org/";var a=MathJax.Menu;var i=d.CombineConfig("HelpDialog",{closeImg:g.fileURL(c.imageDir+"/CloseX-31.png"),styles:{"#MathJax_Help":{position:"fixed",left:"50%",width:"auto","max-width":"90%","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"wrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_HelpContent":{overflow:"auto","text-align":"left","font-size":"80%",padding:".4em .6em",border:"1px inset",margin:"1em 0px","max-height":"20em","max-width":"30em","background-color":"#EEEEEE"}}});e.Dialog=function(){h.loadDomain("HelpDialog",["Post",e])};e.Post=function(){this.div=a.Background(this);var j=f.addElement(this.div,"div",{id:"MathJax_Help"},h._("HelpDialog",[["b",{style:{fontSize:"120%"}},[["Help","MathJax Help"]]],["div",{id:"MathJax_HelpContent"},[["p",{},[["MathJax","*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages.  As a reader, you don't need to do anything to make that happen."]]],["p",{},[["Browsers","*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers."]]],["p",{},[["Menu","*Math Menu*: MathJax adds a contextual menu to equations.  Right-click or CTRL-click on any mathematics to access the menu."]]],["div",{style:{"margin-left":"1em"}},[["p",{},[["ShowMath","*Show Math As* allows you to view the formula's source markup for copy & paste (as MathML or in its origianl format)."]]],["p",{},[["Settings","*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations."]]],["p",{},[["Language","*Language* lets you select the language used by MathJax for its menus and warning messages."]]],]],["p",{},[["Zoom","*Math Zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better."]]],["p",{},[["Accessibilty","*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired."]]],["p",{},[["Fonts","*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts.  Although not required, locally installed fonts will speed up typesetting.  We suggest installing the [STIX fonts](%1).",b]]]]],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:i.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:e.Remove}]]));h.setCSS(j);var l=(document.documentElement||{});var k=window.innerHeight||l.clientHeight||l.scrollHeight||0;if(a.prototype.msieAboutBug){j.style.width="20em";j.style.position="absolute";j.style.left=Math.floor((document.documentElement.scrollWidth-j.offsetWidth)/2)+"px";j.style.top=(Math.floor((k-j.offsetHeight)/3)+document.body.scrollTop)+"px"}else{j.style.marginLeft=Math.floor(-j.offsetWidth/2)+"px";j.style.top=Math.floor((k-j.offsetHeight)/3)+"px"}};e.Remove=function(j){if(e.div){document.body.removeChild(e.div);delete e.div}};MathJax.Callback.Queue(d.Register.StartupHook("End Config",{}),["Styles",g,i.styles],["Post",d.Startup.signal,"HelpDialig Ready"],["loadComplete",g,"[MathJax]/extensions/HelpDialog.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax,MathJax.Localization);
+(function(d,f,g,c,h){var e=MathJax.Extension.Help={version:"2.4-beta"};var b="http://www.stixfonts.org/";var a=MathJax.Menu;var i=d.CombineConfig("HelpDialog",{closeImg:g.urlRev(c.imageDir+"/CloseX-31.png"),styles:{"#MathJax_Help":{position:"fixed",left:"50%",width:"auto","max-width":"90%","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"wrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_HelpContent":{overflow:"auto","text-align":"left","font-size":"80%",padding:".4em .6em",border:"1px inset",margin:"1em 0px","max-height":"20em","max-width":"30em","background-color":"#EEEEEE"}}});e.Dialog=function(){h.loadDomain("HelpDialog",["Post",e])};e.Post=function(){this.div=a.Background(this);var j=f.addElement(this.div,"div",{id:"MathJax_Help"},h._("HelpDialog",[["b",{style:{fontSize:"120%"}},[["Help","MathJax Help"]]],["div",{id:"MathJax_HelpContent"},[["p",{},[["MathJax","*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages.  As a reader, you don't need to do anything to make that happen."]]],["p",{},[["Browsers","*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers."]]],["p",{},[["Menu","*Math Menu*: MathJax adds a contextual menu to equations.  Right-click or CTRL-click on any mathematics to access the menu."]]],["div",{style:{"margin-left":"1em"}},[["p",{},[["ShowMath","*Show Math As* allows you to view the formula's source markup for copy & paste (as MathML or in its origianl format)."]]],["p",{},[["Settings","*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations."]]],["p",{},[["Language","*Language* lets you select the language used by MathJax for its menus and warning messages."]]],]],["p",{},[["Zoom","*Math Zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better."]]],["p",{},[["Accessibilty","*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired."]]],["p",{},[["Fonts","*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts.  Although not required, locally installed fonts will speed up typesetting.  We suggest installing the [STIX fonts](%1).",b]]]]],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:i.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:e.Remove}]]));h.setCSS(j);var l=(document.documentElement||{});var k=window.innerHeight||l.clientHeight||l.scrollHeight||0;if(a.prototype.msieAboutBug){j.style.width="20em";j.style.position="absolute";j.style.left=Math.floor((document.documentElement.scrollWidth-j.offsetWidth)/2)+"px";j.style.top=(Math.floor((k-j.offsetHeight)/3)+document.body.scrollTop)+"px"}else{j.style.marginLeft=Math.floor(-j.offsetWidth/2)+"px";j.style.top=Math.floor((k-j.offsetHeight)/3)+"px"}};e.Remove=function(j){if(e.div){document.body.removeChild(e.div);delete e.div}};MathJax.Callback.Queue(d.Register.StartupHook("End Config",{}),["Styles",g,i.styles],["Post",d.Startup.signal,"HelpDialig Ready"],["loadComplete",g,"[MathJax]/extensions/HelpDialog.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax,MathJax.Localization);
diff --git a/extensions/MatchWebFonts.js b/extensions/MatchWebFonts.js
index eb0228454..ba921fa01 100644
--- a/extensions/MatchWebFonts.js
+++ b/extensions/MatchWebFonts.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(c,b){var e="2.3";var a=MathJax.Hub.CombineConfig("MatchWebFonts",{matchFor:{"HTML-CSS":true,NativeMML:true,SVG:true},fontCheckDelay:500,fontCheckTimeout:15*1000,});var d=MathJax.Extension.MatchWebFonts={version:e,config:a};c.Register.StartupHook("HTML-CSS Jax Ready",function(){var f=MathJax.OutputJax["HTML-CSS"];var g=f.postTranslate;f.Augment({postTranslate:function(i,h){if(!h&&a.matchFor["HTML-CSS"]&&this.config.matchFontHeight){b.timer.start(b,["checkFonts",this,i.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return g.apply(this,arguments)},checkFonts:function(o,r){if(o.time(function(){})){return}var w=[],s,p,h=false;for(s=0,p=r.length;s<p;s++){script=r[s];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.EmExSpan.cloneNode(true),script)}}for(s=0,p=r.length;s<p;s++){script=r[s];if(!script.parentNode){continue}h=true;var k=script.MathJax.elementJax;if(!k){continue}var v=document.getElementById(k.inputID+"-Frame");var u=script.previousSibling;var t=u.firstChild.offsetHeight/60;var l=u.lastChild.lastChild.offsetHeight/60;if(t===0||t==="NaN"){t=this.defaultEx;l=this.defaultEm}if(t!==k.HTMLCSS.ex||l!==k.HTMLCSS.em){var q=t/this.TeX.x_height/l;q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);if(q/100!==k.scale){w.push(script);r[s]={}}}}for(s=0,p=r.length;s<p;s++){script=r[s];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(w.length){c.Queue(["Rerender",c,[w],{}])}if(h){setTimeout(o,o.delay)}}})});c.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.OutputJax.SVG;var f=g.postTranslate;g.Augment({postTranslate:function(i,h){if(!h&&a.matchFor.SVG){b.timer.start(b,["checkFonts",this,i.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return f.apply(this,arguments)},checkFonts:function(l,p){if(l.time(function(){})){return}var u=[],q,o,h=false;for(q=0,o=p.length;q<o;q++){script=p[q];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.ExSpan.cloneNode(true),script)}}for(q=0,o=p.length;q<o;q++){script=p[q];if(!script.parentNode){continue}h=true;var k=script.MathJax.elementJax;if(!k){continue}var t=document.getElementById(k.inputID+"-Frame");var s=script.previousSibling;var r=s.firstChild.offsetHeight/60;if(r===0||r==="NaN"){r=this.defaultEx;em=this.defaultEm}if(r!==k.SVG.ex){u.push(script);p[q]={}}}for(q=0,o=p.length;q<o;q++){script=p[q];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(u.length){c.Queue(["Rerender",c,[u],{}])}if(h){setTimeout(l,l.delay)}}})});c.Register.StartupHook("NativeMML Jax Ready",function(){var f=MathJax.OutputJax.NativeMML;var g=f.postTranslate;f.Augment({postTranslate:function(h){if(!c.Browser.isMSIE&&a.matchFor.NativeMML){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}g.apply(this,arguments)},checkFonts:function(l,r){if(l.time(function(){})){return}var z=[],B=[],A=[],s,o,w;for(s=0,o=r.length;s<o;s++){w=r[s];if(w.parentNode&&w.MathJax.elementJax){w.parentNode.insertBefore(this.EmExSpan.cloneNode(true),w)}}for(s=0,o=r.length;s<o;s++){w=r[s];if(!w.parentNode){continue}var k=w.MathJax.elementJax;if(!k){continue}var y=document.getElementById(k.inputID+"-Frame");var x=y.getElementsByTagName("math")[0];if(!x){continue}k=k.NativeMML;var u=w.previousSibling;var t=u.firstChild.offsetWidth/60;var q=u.lastChild.offsetWidth/60;if(t===0||t==="NaN"){t=this.defaultEx;q=this.defaultMEx}var v=(t!==k.ex);if(v||q!=k.mex){var p=(this.config.matchFontHeight&&q>1?t/q:1);p=Math.floor(Math.max(this.config.minScaleAdjust/100,p)*this.config.scale);if(p/100!==k.scale){A.push([y.style,p])}k.scale=p/100;k.fontScale=p+"%";k.ex=t;k.mex=q}if("scrollWidth" in k&&(v||k.scrollWidth!==x.firstChild.scrollWidth)){k.scrollWidth=x.firstChild.scrollWidth;z.push([x.parentNode.style,k.scrollWidth/k.ex/k.scale])}if(x.MathJaxMtds){for(j=0,n=x.MathJaxMtds.length;j<n;j++){if(!x.MathJaxMtds[j].parentNode){continue}if(v||x.MathJaxMtds[j].firstChild.scrollWidth!==k.mtds[j]){k.mtds[j]=x.MathJaxMtds[j].firstChild.scrollWidth;B.push([x.MathJaxMtds[j],k.mtds[j]/k.ex])}}}}for(s=0,o=r.length;s<o;s++){w=r[s];if(w.parentNode&&w.MathJax.elementJax){w.parentNode.removeChild(w.previousSibling)}}for(s=0,o=A.length;s<o;s++){A[s][0].fontSize=A[s][1]+"%"}for(s=0,o=z.length;s<o;s++){z[s][0].width=z[s][1].toFixed(3)+"ex"}for(s=0,o=B.length;s<o;s++){var h=B[s][0].getAttribute("style");h=h.replace(/(($|;)\s*min-width:).*?ex/,"$1 "+B[s][1].toFixed(3)+"ex");B[s][0].setAttribute("style",h)}setTimeout(l,l.delay)}})});c.Startup.signal.Post("MathWebFont Extension Ready");b.loadComplete("[MathJax]/extensions/MatchWebFonts.js")})(MathJax.Hub,MathJax.Ajax);
+(function(c,b){var d="2.4-beta";var a=MathJax.Hub.CombineConfig("MatchWebFonts",{matchFor:{"HTML-CSS":true,NativeMML:true,SVG:true},fontCheckDelay:500,fontCheckTimeout:15*1000,});MathJax.Extension.MatchWebFonts={version:d,config:a};c.Register.StartupHook("HTML-CSS Jax Ready",function(){var e=MathJax.OutputJax["HTML-CSS"];var f=e.postTranslate;e.Augment({postTranslate:function(h,g){if(!g&&a.matchFor["HTML-CSS"]&&this.config.matchFontHeight){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return f.apply(this,arguments)},checkFonts:function(k,o){if(k.time(function(){})){return}var s=[],p,l,g=false;for(p=0,l=o.length;p<l;p++){script=o[p];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.EmExSpan.cloneNode(true),script)}}for(p=0,l=o.length;p<l;p++){script=o[p];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var r=script.previousSibling;var q=r.firstChild.offsetHeight/60;var j=r.lastChild.lastChild.offsetHeight/60;if(q===0||q==="NaN"){q=this.defaultEx;j=this.defaultEm}if(q!==h.HTMLCSS.ex||j!==h.HTMLCSS.em){var n=q/this.TeX.x_height/j;n=Math.floor(Math.max(this.config.minScaleAdjust/100,n)*this.config.scale);if(n/100!==h.scale){s.push(script);o[p]={}}}}o=o.concat(s);for(p=0,l=o.length;p<l;p++){script=o[p];if(script&&script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(s.length){c.Queue(["Rerender",c,[s],{}])}if(g){setTimeout(k,k.delay)}}})});c.Register.StartupHook("SVG Jax Ready",function(){var f=MathJax.OutputJax.SVG;var e=f.postTranslate;f.Augment({postTranslate:function(h,g){if(!g&&a.matchFor.SVG){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return e.apply(this,arguments)},checkFonts:function(j,l){if(j.time(function(){})){return}var q=[],n,k,g=false;for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.ExSpan.cloneNode(true),script)}}for(n=0,k=l.length;n<k;n++){script=l[n];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var p=script.previousSibling;var o=p.firstChild.offsetHeight/60;if(o===0||o==="NaN"){o=this.defaultEx}if(o!==h.SVG.ex){q.push(script);l[n]={}}}l=l.concat(q);for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(q.length){c.Queue(["Rerender",c,[q],{}])}if(g){setTimeout(j,j.delay)}}})});c.Register.StartupHook("NativeMML Jax Ready",function(){var e=MathJax.OutputJax.NativeMML;var f=e.postTranslate;e.Augment({postTranslate:function(g){if(!c.Browser.isMSIE&&a.matchFor.NativeMML){b.timer.start(b,["checkFonts",this,g.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}f.apply(this,arguments)},checkFonts:function(A,l){if(A.time(function(){})){return}var t=[],q=[],o=[],w,s,B;for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.insertBefore(this.EmExSpan.cloneNode(true),B)}}for(w=0,s=l.length;w<s;w++){B=l[w];if(!B.parentNode){continue}var g=B.MathJax.elementJax;if(!g){continue}var v=document.getElementById(g.inputID+"-Frame");var k=v.getElementsByTagName("math")[0];if(!k){continue}g=g.NativeMML;var y=B.previousSibling;var z=y.firstChild.offsetWidth/60;var h=y.lastChild.offsetWidth/60;if(z===0||z==="NaN"){z=this.defaultEx;h=this.defaultMEx}var r=(z!==g.ex);if(r||h!=g.mex){var C=(this.config.matchFontHeight&&h>1?z/h:1);C=Math.floor(Math.max(this.config.minScaleAdjust/100,C)*this.config.scale);if(C/100!==g.scale){o.push([v.style,C])}g.scale=C/100;g.fontScale=C+"%";g.ex=z;g.mex=h}if("scrollWidth" in g&&(r||g.scrollWidth!==k.firstChild.scrollWidth)){g.scrollWidth=k.firstChild.scrollWidth;t.push([k.parentNode.style,g.scrollWidth/g.ex/g.scale])}if(k.MathJaxMtds){for(var u=0,p=k.MathJaxMtds.length;u<p;u++){if(!k.MathJaxMtds[u].parentNode){continue}if(r||k.MathJaxMtds[u].firstChild.scrollWidth!==g.mtds[u]){g.mtds[u]=k.MathJaxMtds[u].firstChild.scrollWidth;q.push([k.MathJaxMtds[u],g.mtds[u]/g.ex])}}}}for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.removeChild(B.previousSibling)}}for(w=0,s=o.length;w<s;w++){o[w][0].fontSize=o[w][1]+"%"}for(w=0,s=t.length;w<s;w++){t[w][0].width=t[w][1].toFixed(3)+"ex"}for(w=0,s=q.length;w<s;w++){var x=q[w][0].getAttribute("style");x=x.replace(/(($|;)\s*min-width:).*?ex/,"$1 "+q[w][1].toFixed(3)+"ex");q[w][0].setAttribute("style",x)}setTimeout(A,A.delay)}})});c.Startup.signal.Post("MatchWebFonts Extension Ready");b.loadComplete("[MathJax]/extensions/MatchWebFonts.js")})(MathJax.Hub,MathJax.Ajax);
diff --git a/extensions/MathEvents.js b/extensions/MathEvents.js
index 66aee8825..ae9b9afbc 100644
--- a/extensions/MathEvents.js
+++ b/extensions/MathEvents.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(d,h,l,g,m,b,j){var q="2.3";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.fileURL(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true;r.returnValue=false}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){var r=new Image();r.src=p.button.src}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(d,h,l,g,m,b,j){var q="2.4-beta";var i=MathJax.Extension;var c=i.MathEvents={version:q};var k=d.config.menuSettings;var p={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-4,y:-3,wx:-2,src:l.urlRev(b.imageDir+"/MenuArrow-15.png")},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Hover_Arrow":{position:"absolute",width:"15px",height:"11px",cursor:"pointer"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",Mousedown:function(r){return n.Handler(r,"Mousedown",this)},Mouseup:function(r){return n.Handler(r,"Mouseup",this)},Mousemove:function(r){return n.Handler(r,"Mousemove",this)},Mouseover:function(r){return n.Handler(r,"Mouseover",this)},Mouseout:function(r){return n.Handler(r,"Mouseout",this)},Click:function(r){return n.Handler(r,"Click",this)},DblClick:function(r){return n.Handler(r,"DblClick",this)},Menu:function(r){return n.Handler(r,"ContextMenu",this)},Handler:function(u,s,t){if(l.loadingMathMenu){return n.False(u)}var r=b[t.jaxID];if(!u){u=window.event}u.isContextMenu=(s==="ContextMenu");if(r[s]){return r[s](u,t)}if(i.MathZoom){return i.MathZoom.HandleEvent(u,s,t)}},False:function(r){if(!r){r=window.event}if(r){if(r.preventDefault){r.preventDefault()}else{r.returnValue=false}if(r.stopPropagation){r.stopPropagation()}r.cancelBubble=true}return false},ContextMenu:function(u,F,x){var C=b[F.jaxID],w=C.getJaxFromMath(F);var G=(C.config.showMathMenu!=null?C:d).config.showMathMenu;if(!G||(k.context!=="MathJax"&&!x)){return}if(c.msieEventBug){u=window.event||u}n.ClearSelection();f.ClearHoverTimer();if(w.hover){if(w.hover.remove){clearTimeout(w.hover.remove);delete w.hover.remove}w.hover.nofade=true}var v=MathJax.Menu;var H,E;if(v){if(v.loadingDomain){return n.False(u)}H=m.loadDomain("MathMenu");if(!H){v.jax=w;var s=v.menu.Find("Show Math As").menu;s.items[0].name=w.sourceMenuTitle;s.items[0].format=(w.sourceMenuFormat||"MathML");s.items[1].name=j[w.inputJax].sourceMenuTitle;var B=s.items[2];B.disabled=true;var r=B.menu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var A=0,z=r.length;A<z;A++){var t=r[A].name[1];if(w.root&&w.root.getAnnotation(t)!==null){B.disabled=false;r[A].hidden=false}else{r[A].hidden=true}}var y=v.menu.Find("Math Settings","MathPlayer");y.hidden=!(w.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return v.menu.Post(u)}v.loadingDomain=true;E=function(){delete v.loadingDomain}}else{if(l.loadingMathMenu){return n.False(u)}l.loadingMathMenu=true;H=l.Require("[MathJax]/extensions/MathMenu.js");E=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var D={pageX:u.pageX,pageY:u.pageY,clientX:u.clientX,clientY:u.clientY};g.Queue(H,E,["ContextMenu",n,D,F,x]);return n.False(u)},AltContextMenu:function(t,s){var u=b[s.jaxID];var r=(u.config.showMathMenu!=null?u:d).config.showMathMenu;if(r){r=(u.config.showMathMenuMSIE!=null?u:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&r){if(!c.noContextMenuBug||t.button!==n.RIGHTBUTTON){return}}else{if(!t[n.MENUKEY]||t.button!==n.LEFTBUTTON){return}}return u.ContextMenu(t,s,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(t){t.appendChild(c.topImg);var s=c.topImg.offsetTop,u=t.offsetHeight-s,r=t.offsetWidth;t.removeChild(c.topImg);return{w:r,h:s,d:u}}};var f=c.Hover={Mouseover:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.ReHover(r)}else{f.HoverTimer(r,s)}return n.False(t)}}},Mouseout:function(t,s){if(k.discoverable||k.zoom==="Hover"){var v=t.fromElement||t.relatedTarget,u=t.toElement||t.target;if(v&&u&&(v.isMathJax!=u.isMathJax||d.getJaxFor(v)!==d.getJaxFor(u))){var r=this.getJaxFromMath(s);if(r.hover){f.UnHover(r)}else{f.ClearHoverTimer()}return n.False(t)}}},Mousemove:function(t,s){if(k.discoverable||k.zoom==="Hover"){var r=this.getJaxFromMath(s);if(r.hover){return}if(f.lastX==t.clientX&&f.lastY==t.clientY){return}f.lastX=t.clientX;f.lastY=t.clientY;f.HoverTimer(r,s);return n.False(t)}},HoverTimer:function(r,s){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,r,s]),p.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(r,v){if(i.MathZoom&&i.MathZoom.Hover({},v)){return}var u=b[r.outputJax],w=u.getHoverSpan(r,v),z=u.getHoverBBox(r,w,v),x=(u.config.showMathMenu!=null?u:d).config.showMathMenu;var B=p.frame.x,A=p.frame.y,y=p.frame.bwidth;if(c.msieBorderWidthBug){y=0}r.hover={opacity:0,id:r.inputID+"-Hover"};var s=h.Element("span",{id:r.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-z.h-A-y-(z.y||0)),left:this.Px(-B-y+(z.x||0)),width:this.Px(z.w+2*B),height:this.Px(z.h+z.d+2*A),opacity:0,filter:"alpha(opacity=0)"}}]]);var t=h.Element("span",{isMathJax:true,id:r.hover.id+"Menu",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["img",{className:"MathJax_Hover_Arrow",isMathJax:true,math:v,src:p.button.src,onclick:this.HoverMenu,jax:u.id,style:{left:this.Px(z.w+B+y+(z.x||0)+p.button.x),top:this.Px(-z.h-A-y-(z.y||0)-p.button.y),opacity:0,filter:"alpha(opacity=0)"}}]]);if(z.width){s.style.width=t.style.width=z.width;s.style.marginRight=t.style.marginRight="-"+z.width;s.firstChild.style.width=z.width;t.firstChild.style.left="";t.firstChild.style.right=this.Px(p.button.wx)}w.parentNode.insertBefore(s,w);if(x){w.parentNode.insertBefore(t,w)}if(w.style){w.style.position="relative"}this.ReHover(r)},ReHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}r.hover.remove=setTimeout(g(["UnHover",this,r]),p.fadeoutDelay);this.HoverFadeTimer(r,p.fadeinInc)},UnHover:function(r){if(!r.hover.nofade){this.HoverFadeTimer(r,-p.fadeoutInc,p.fadeoutStart)}},HoverFade:function(r){delete r.hover.timer;r.hover.opacity=Math.max(0,Math.min(1,r.hover.opacity+r.hover.inc));r.hover.opacity=Math.floor(1000*r.hover.opacity)/1000;var t=document.getElementById(r.hover.id),s=document.getElementById(r.hover.id+"Menu");t.firstChild.style.opacity=r.hover.opacity;t.firstChild.style.filter="alpha(opacity="+Math.floor(100*r.hover.opacity)+")";if(s){s.firstChild.style.opacity=r.hover.opacity;s.firstChild.style.filter=t.style.filter}if(r.hover.opacity===1){return}if(r.hover.opacity>0){this.HoverFadeTimer(r,r.hover.inc);return}t.parentNode.removeChild(t);if(s){s.parentNode.removeChild(s)}if(r.hover.remove){clearTimeout(r.hover.remove)}delete r.hover},HoverFadeTimer:function(r,t,s){r.hover.inc=t;if(!r.hover.timer){r.hover.timer=setTimeout(g(["HoverFade",this,r]),(s||p.fadeDelay))}},HoverMenu:function(r){if(!r){r=window.event}return b[this.jax].ContextMenu(r,this.math,true)},ClearHover:function(r){if(r.hover.remove){clearTimeout(r.hover.remove)}if(r.hover.timer){clearTimeout(r.hover.timer)}f.ClearHoverTimer();delete r.hover},Px:function(r){if(Math.abs(r)<0.006){return"0px"}return r.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var r=new Image();r.src=p.button.src}}};var a=c.Touch={last:0,delay:500,start:function(s){var r=new Date().getTime();var t=(r-a.last<a.delay&&a.up);a.last=r;a.up=false;if(t){a.timeout=setTimeout(a.menu,a.delay,s,this);s.preventDefault()}},end:function(s){var r=new Date().getTime();a.up=(r-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;s.preventDefault();return n.Handler((s.touches[0]||s.touch),"DblClick",this)}},menu:function(s,r){delete a.timeout;a.last=0;a.up=false;return n.Handler((s.touches[0]||s.touch),"ContextMenu",r)}};if(d.Browser.isMobile){var o=p.styles[".MathJax_Hover_Arrow"];o.width="25px";o.height="18px";p.button.x=-6}d.Browser.Select({MSIE:function(r){var t=(document.documentMode||0);var s=r.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=r.isIE9;c.msieAlignBug=(!s||t<8);if(t<9){n.LEFTBUTTON=1}},Safari:function(r){c.safariContextMenuBug=true},Opera:function(r){c.operaPositionBug=true},Konqueror:function(r){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=p=d.CombineConfig("MathEvents",p);var e=function(){var r=p.styles[".MathJax_Hover_Frame"];r.border=p.frame.bwidth+"px solid "+p.frame.bcolor+" ! important";r["box-shadow"]=r["-webkit-box-shadow"]=r["-moz-box-shadow"]=r["-khtml-box-shadow"]="0px 0px "+p.frame.hwidth+" "+p.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,p.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
diff --git a/extensions/MathML/content-mathml.js b/extensions/MathML/content-mathml.js
index 805ee2493..30c9b17bb 100644
--- a/extensions/MathML/content-mathml.js
+++ b/extensions/MathML/content-mathml.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["MathML/content-mathml"]={version:"2.3"};MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var c=MathJax.InputJax.MathML,e=c.Parse.prototype;c.prefilterHooks.Add(function(h){if(!c.ctopXSLT){return}if(!c.ParseXML){c.ParseXML=c.createParser()}var i=c.ParseXML(e.preProcessMath(h.math));var g=c.ctopXSLT.transformToDocument(i);if((typeof g)==="string"){h.math=g}else{if(window.XMLSerializer){var f=new XMLSerializer();h.math=f.serializeToString(g.documentElement,i)}}});var a='<x:stylesheet version="1.0" xmlns:x="http://www.w3.org/1999/XSL/Transform" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:e="http://exslt.org/strings"  xmlns:c="http://exslt.org/common" exclude-result-prefixes="m e c">  <!--  Copyright David Carlisle 2001, 2002, 2008, 2009.  Use and distribution of this code are permitted under the terms of the<a href="http://www.w3.org/Consortium/Legal/copyright-software-19980720" >W3C Software Notice and License</a>. 2001-2002 MathML2 version 2008-2009     Updates for MathML3 --> <x:output method="xml" /> <x:template match="/"><x:apply-templates/></x:template> <x:template match="*"><x:copy><x:copy-of select="@*"/><x:apply-templates/></x:copy></x:template>    <x:template match="m:cn"><mn><x:apply-templates/></mn></x:template> <x:template match="m:cn[@type=\'complex-cartesian\']"><mrow><mn><x:apply-templates select="text()[1]"/></mn><mo>+</mo><mn><x:apply-templates select="text()[2]"/></mn><mo>&#8290;</mo><mi>i</mi></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'complex_cartesian\']]"><mrow><mn><x:apply-templates select="*[2]"/></mn><mo>+</mo><mn><x:apply-templates select="*[3]"/></mn><mo>&#8290;</mo><mi>i</mi></mrow></x:template> <x:template match="m:cn[@type=\'rational\']"><mrow><mn><x:apply-templates select="text()[1]"/></mn><mo>/</mo><mn><x:apply-templates select="text()[2]"/></mn></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'rational\']]"><mrow><mn><x:apply-templates select="*[2]"/></mn><mo>/</mo><mn><x:apply-templates select="*[3]"/></mn></mrow></x:template> <x:template match="m:cn[not(@type) or @type=\'integer\']"><x:choose><x:when test="not(@base) or @base=10"><mn><x:apply-templates/></mn></x:when><x:otherwise><msub><mn><x:apply-templates/></mn><mn><x:value-of select="@base"/></mn></msub></x:otherwise></x:choose></x:template> <x:template match="m:cn[@type=\'complex-polar\']"><mrow><mn><x:apply-templates select="text()[1]"/></mn><mo>&#8290;</mo><msup><mi>e</mi><mrow><mi>i</mi><mo>&#8290;</mo><mn><x:apply-templates select="text()[2]"/></mn></mrow></msup></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'complex_polar\']]"><mrow><x:apply-templates select="*[2]"/><mo>&#8290;</mo><msup><mi>e</mi><mrow><mi>i</mi><mo>&#8290;</mo><x:apply-templates select="*[3]"/></mrow></msup></mrow></x:template> <x:template match="m:cn[@type=\'e-notation\']"><mn><x:apply-templates select="m:sep/preceding-sibling::node()"/><x:text>E</x:text><x:apply-templates select="m:sep/following-sibling::node()"/></mn></x:template> <x:template match="m:cn[@type=\'hexdouble\']"><mn><x:text>0x</x:text><x:apply-templates/></mn></x:template>   <x:template match="m:ci/text()"><mi><x:value-of select="."/></mi></x:template> <x:template match="m:ci"><mrow><x:apply-templates/></mrow></x:template>   <x:template match="m:csymbol/text()"><mi><x:value-of select="."/></mi></x:template> <x:template match="m:csymbol"><mrow><x:apply-templates/></mrow></x:template>   <x:template match="m:apply|m:reln"><mrow><x:choose><x:when test="*[1]/*/*"><mfenced separators="">    <x:apply-templates select="*[1]">       <x:with-param name="p" select="10"/>    </x:apply-templates></mfenced></x:when><x:otherwise><x:apply-templates select="*[1]">   <x:with-param name="p" select="10"/></x:apply-templates></x:otherwise></x:choose><mo>&#8289;</mo><mfenced open="(" close=")" separators=","><x:apply-templates select="*[position()>1]"/></mfenced></mrow></x:template>  <x:template match="m:bind"><mrow><x:choose><x:when test="*[1]/*/*"><mfenced separators="">     <x:apply-templates select="*[1]">       <x:with-param name="p" select="10"/>    </x:apply-templates></mfenced></x:when><x:otherwise><x:apply-templates select="*[1]">   <x:with-param name="p" select="10"/></x:apply-templates></x:otherwise></x:choose><x:apply-templates select="bvar/*"/><mo>.</mo><x:apply-templates select="*[position()>1][not(self::m:bvar)]"/></mrow></x:template>  <x:template match="m:fn"><mrow><x:apply-templates/></mrow></x:template>  <x:template match="m:interval[*[2]]"><mfenced open="[" close="]"><x:apply-templates/></mfenced></x:template><x:template match="m:interval[*[2]][@closure=\'open\']" priority="2"><mfenced open="(" close=")"><x:apply-templates/></mfenced></x:template><x:template match="m:interval[*[2]][@closure=\'open-closed\']" priority="2"><mfenced open="(" close="]"><x:apply-templates/></mfenced></x:template><x:template match="m:interval[*[2]][@closure=\'closed-open\']" priority="2"><mfenced open="[" close=")"><x:apply-templates/></mfenced></x:template> <x:template match="m:interval"><mfenced open="{{" close="}}"><x:apply-templates/></mfenced></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'integer_interval\']]"><mfenced open="[" close="]"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'interval\']]"><mfenced open="[" close="]"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'interval-cc\']]"><mfenced open="[" close="]"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'interval-oo\']]"><mfenced open="(" close=")"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'oriented_interval\']]"><mfenced open="(" close=")"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template>   <x:template match="m:apply[*[1][self::m:inverse]]                        |m:apply[*[1][self::m:csymbol=\'inverse\']]"><msup><x:apply-templates select="*[2]"/><mrow><mo>(</mo><mn>-1</mn><mo>)</mo></mrow></msup></x:template>    <x:template match="m:condition"><mrow><x:apply-templates/></mrow></x:template>  <x:template match="m:declare"/>  <x:template match="m:lambda                             |m:apply[*[1][self::m:csymbol=\'lambda\']]                              |m:bind[*[1][self::m:csymbol=\'lambda\']]"><mrow><mi>&#955;</mi><mrow><x:apply-templates select="m:bvar/*"/></mrow><mo>.</mo><mfenced><x:apply-templates select="*[last()]"/></mfenced></mrow></x:template>   <x:template match="m:apply[*[1][self::m:compose]]                        |m:apply[*[1][self::m:csymbol=\'left_compose\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8728;</mo></x:with-param></x:call-template></x:template>   <x:template match="m:ident"><mi>id</mi></x:template>  <x:template match="m:domain"><mi>domain</mi></x:template>  <x:template match="m:codomain"><mi>codomain</mi></x:template>  <x:template match="m:image"><mi>image</mi></x:template>  <x:template match="m:domainofapplication"><merror><mtext>unexpected domainofapplication</mtext></merror></x:template> <x:template match="m:apply[*[2][self::m:bvar]][m:domainofapplication]" priority="0.4"><mrow><munder><x:apply-templates select="*[1]"/><mrow><x:apply-templates select="m:bvar/*"/><mo>&#8712;</mo><x:apply-templates select="m:domainofapplication/*"/></mrow></munder><mfenced><x:apply-templates select="m:domainofapplication/following-sibling::*"/></mfenced></mrow></x:template> <x:template match="m:apply[m:domainofapplication]" priority="0.3"><mrow><mrow><mi>restriction</mi><mfenced><x:apply-templates select="*[1]"/><x:apply-templates select="m:domainofapplication/*"/></mfenced></mrow><mfenced><x:apply-templates select="m:domainofapplication/following-sibling::*"/></mfenced></mrow></x:template>  <x:template match="m:piecewise"><mrow><mo>{</mo><mtable><x:for-each select="m:piece|m:otherwise">   <mtr>   <mtd><x:apply-templates select="*[1]"/></mtd>   <x:choose>      <x:when  test="self::m:piece">  <mtd columnalign="left"><mtext>&#160; if &#160;</mtext></mtd>   <mtd><x:apply-templates select="*[2]"/></mtd>   </x:when>       <x:otherwise>   <mtd colspan="2" columnalign="left"><mtext>&#160; otherwise</mtext></mtd>       </x:otherwise>  </x:choose>     </mtr></x:for-each></mtable></mrow></x:template>   <x:template match="m:apply[*[1][self::m:quotient]]                        |m:apply[*[1][self::m:csymbol=\'quotient\']]"><mrow><mo>&#8970;</mo><x:apply-templates select="*[2]"/><mo>/</mo><x:apply-templates select="*[3]"/><mo>&#8971;</mo></mrow></x:template>    <x:template match="m:apply[*[1][self::m:factorial]]                              |m:apply[*[1][self::m:csymbol=\'factorial\']]"><mrow><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates><mo>!</mo></mrow></x:template>   <x:template match="m:apply[*[1][self::m:divide]]                          |m:apply[*[1][self::m:csymbol=\'divide\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>/</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template>   <x:template match="m:apply[*[1][self::m:max]]                           |m:apply[*[1][self::m:csymbol=\'max\']]"><mrow><mi>max</mi><x:call-template name="set"/></mrow></x:template> <x:template match="m:apply[*[1][self::m:min]]|m:reln[*[1][self::m:min]]"><mrow><mi>min</mi><x:call-template name="set"/></mrow></x:template>  <x:template match="m:apply[*[1][self::m:minus] and count(*)=2]                               |m:apply[*[1][self::m:csymbol=\'unary_minus\']]"><mrow><mo>&#8722;</mo><x:apply-templates select="*[2]"><x:with-param name="p" select="5"/></x:apply-templates></mrow></x:template> <x:template match="m:apply[*[1][self::m:minus] and count(*)&gt;2]                           |m:apply[*[1][self::m:csymbol=\'minus\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8722;</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="2"/></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:plus]]                              |m:apply[*[1][self::m:csymbol=\'plus\']]"><x:param name="p" select="0"/><mrow><x:if test="$p &gt; 2"><mo>(</mo></x:if><x:for-each select="*[position()&gt;1]"><x:if test="position() &gt; 1"><mo><x:choose><x:when test="self::m:apply[*[1][self::m:times] and       *[2][self::m:apply/*[1][self::m:minus] or self::m:cn[not(m:sep) and       (number(.) &lt; 0)]]]">&#8722;</x:when><x:otherwise>+</x:otherwise></x:choose></mo></x:if><x:choose><x:when test="self::m:apply[*[1][self::m:times] and       *[2][self::m:cn[not(m:sep) and (number(.) &lt;0)]]]"><mrow><mn><x:value-of select="-(*[2])"/></mn><mo>&#8290;</mo><x:apply-templates select="."><x:with-param name="first" select="2"/><x:with-param name="p" select="2"/></x:apply-templates></mrow></x:when><x:when test="self::m:apply[*[1][self::m:times] and       *[2][self::m:apply/*[1][self::m:minus]]]"><mrow><x:apply-templates select="./*[2]/*[2]"/><x:apply-templates select="."><x:with-param name="first" select="2"/><x:with-param name="p" select="2"/></x:apply-templates></mrow></x:when><x:otherwise><x:apply-templates select="."><x:with-param name="p" select="2"/></x:apply-templates></x:otherwise></x:choose></x:for-each><x:if test="$p &gt; 2"><mo>)</mo></x:if></mrow></x:template>   <x:template match="m:apply[*[1][self::m:power]]                                |m:apply[*[1][self::m:csymbol=\'power\']]"><msup><x:apply-templates select="*[2]"><x:with-param name="p" select="5"/></x:apply-templates><x:apply-templates select="*[3]"><x:with-param name="p" select="5"/></x:apply-templates></msup></x:template>  <x:template match="m:apply[*[1][self::m:rem]]                        |m:apply[*[1][self::m:csymbol=\'rem\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>mod</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:times]]                               |m:apply[*[1][self::m:csymbol=\'times\']]"            name="times"><x:param name="p" select="0"/><x:param name="first" select="1"/><mrow><x:if test="$p &gt; 3"><mo>(</mo></x:if><x:for-each select="*[position()&gt;1]"><x:if test="position() &gt; 1"><mo><x:choose><x:when test="self::m:cn">&#215;</x:when><x:otherwise>&#8290;</x:otherwise></x:choose></mo></x:if><x:if test="position()&gt;= $first"><x:apply-templates select="."><x:with-param name="p" select="3"/></x:apply-templates></x:if></x:for-each><x:if test="$p &gt; 3"><mo>)</mo></x:if></mrow></x:template>   <x:template match="m:apply[*[1][self::m:root] and not(m:degree) or m:degree=2]" priority="4"><msqrt><x:apply-templates select="*[position()&gt;1]"/></msqrt></x:template> <x:template match="m:apply[*[1][self::m:root]]"><mroot><x:apply-templates select="*[position()&gt;1 and not(self::m:degree)]"/><mrow><x:apply-templates select="m:degree/*"/></mrow></mroot></x:template>  <x:template match="m:apply[*[1][self::m:csymbol=\'root\']]"><mroot><x:apply-templates select="*[position()!=1]"/></mroot></x:template>  <x:template match="m:gcd"><mi>gcd</mi></x:template>  <x:template match="m:apply[*[1][self::m:and]]                             |m:reln[*[1][self::m:and]]                              |m:apply[*[1][self::m:csymbol=\'and\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8743;</mo></x:with-param></x:call-template></x:template>   <x:template match="m:apply[*[1][self::m:or]]                        |m:apply[*[1][self::m:csymbol=\'or\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="3"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8744;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:xor]]                        |m:apply[*[1][self::m:csymbol=\'xor\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="3"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>xor</mo></x:with-param></x:call-template></x:template>   <x:template match="m:apply[*[1][self::m:not]]                        |m:apply[*[1][self::m:csymbol=\'not\']]"><mrow><mo>&#172;</mo><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates></mrow></x:template>     <x:template match="m:apply[*[1][self::m:implies]]                          |m:reln[*[1][self::m:implies]]                          |m:apply[*[1][self::m:csymbol=\'implies\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8658;</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template>   <x:template match="m:apply[*[1][self::m:forall]]                        |m:apply[*[1][self::m:csymbol=\'forall\']]                        |m:bind[*[1][self::m:forall]]                        |m:bind[*[1][self::m:csymbol=\'forall\']]"><mrow><mo>&#8704;</mo><mrow><x:apply-templates select="m:bvar[not(current()/m:condition)]/*|m:condition/*"/></mrow><mo>.</mo><mfenced><x:apply-templates select="*[last()]"/></mfenced></mrow></x:template>    <x:template match="m:apply[*[1][self::m:exists]]                        |m:apply[*[1][self::m:csymbol=\'exists\']]                        |m:bind[*[1][self::m:exists]]                        |m:bind[*[1][self::m:csymbol=\'exists\']]"><mrow><mo>&#8707;</mo><mrow><x:apply-templates select="m:bvar[not(current()/m:condition)]/*|m:condition/*"/></mrow><mo>.</mo><mfenced separators=""><x:choose><x:when test="m:condition"><x:apply-templates select="m:condition/*"/><mo>&#8743;</mo></x:when><x:when test="m:domainofapplication"><mrow><mrow>        <x:for-each select="m:bvar">    <x:apply-templates/>    <x:if test="position()!=last()">        <mo>,</mo>      </x:if> </x:for-each></mrow><mo>&#8712;</mo><x:apply-templates select="m:domainofapplication/*"/></mrow><mo>&#8743;</mo></x:when></x:choose><x:apply-templates select="*[last()]"/></mfenced></mrow></x:template>    <x:template match="m:apply[*[1][self::m:abs]]                        |m:apply[*[1][self::m:csymbol=\'abs\']]"><mrow><mo>|</mo><x:apply-templates select="*[2]"/><mo>|</mo></mrow></x:template>    <x:template match="m:apply[*[1][self::m:conjugate]]                        |m:apply[*[1][self::m:csymbol=\'conjugate\']]"><mover><x:apply-templates select="*[2]"/><mo>&#175;</mo></mover></x:template>  <x:template match="m:arg"><mi>arg</mi></x:template>   <x:template match="m:real|m:csymbol[.=\'real\']"><mo>&#8475;</mo></x:template>  <x:template match="m:imaginary|m:csymbol[.=\'imaginary\']"><mo>&#8465;</mo></x:template>  <x:template match="m:lcm"><mi>lcm</mi></x:template>   <x:template match="m:apply[*[1][self::m:floor]]                        |m:apply[*[1][self::m:csymbol=\'floor\']]"><mrow><mo>&#8970;</mo><x:apply-templates select="*[2]"/><mo>&#8971;</mo></mrow></x:template>   <x:template match="m:apply[*[1][self::m:ceiling]]                        |m:apply[*[1][self::m:csymbol=\'ceiling\']]"><mrow><mo>&#8968;</mo><x:apply-templates select="*[2]"/><mo>&#8969;</mo></mrow></x:template>  <x:template match="m:apply[*[1][self::m:eq]]                                 |m:reln[*[1][self::m:eq]]                               |m:apply[*[1][self::m:csymbol=\'eq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>=</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:neq]]                        |m:apply[*[1][self::m:csymbol=\'neq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8800;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:gt]]                            |m:reln[*[1][self::m:gt]]                               |m:apply[*[1][self::m:csymbol=\'gt\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&gt;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:lt]]                               |m:reln[*[1][self::m:lt]]                               |m:apply[*[1][self::m:csymbol=\'lt\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&lt;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:geq]]                              |m:apply[*[1][self::m:csymbol=\'geq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8805;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:leq]]                        |m:apply[*[1][self::m:csymbol=\'leq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8804;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:equivalent]]                        |m:apply[*[1][self::m:csymbol=\'equivalent\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8801;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:approx]]                        |m:apply[*[1][self::m:csymbol=\'approx\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8771;</mo></x:with-param></x:call-template></x:template>   <x:template match="m:apply[*[1][self::m:factorof]]                        |m:apply[*[1][self::m:csymbol=\'factorof\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>|</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:int]]                        |m:apply[*[1][self::m:csymbol=\'int\']]                        |m:bind[*[1][self::m:int]]                        |m:bind[*[1][self::m:csymbol=\'int\']]"><mrow><msubsup><mi>&#8747;</mi><mrow><x:apply-templates select="m:lowlimit/*|m:interval/*[1]|m:condition/*|m:domainofapplication/*"/></mrow><mrow><x:apply-templates select="m:uplimit/*|m:interval/*[2]"/></mrow></msubsup><x:apply-templates select="*[last()]"/><x:if test="m:bvar"><mi>d</mi><x:apply-templates select="m:bvar"/></x:if></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'defint\']]"><mrow><munder><mi>&#8747;</mi><x:apply-templates select="*[2]"/></munder><x:apply-templates select="*[last()]"/></mrow></x:template>  <x:template match="m:apply[*[1][self::m:diff] and not(m:bvar)]|                           m:apply[*[1][self::m:csymbol=\'diff\']]" priority="2"><msup><mrow><x:apply-templates select="*[2]"/></mrow><mo>&#8242;</mo></msup></x:template> <x:template match="m:apply[*[1][self::m:diff]]" priority="1"><mfrac><x:choose><x:when test="m:bvar/m:degree"><mrow><msup><mi>d</mi><x:apply-templates select="m:bvar/m:degree/node()"/></msup><x:apply-templates  select="*[last()]"/></mrow><mrow><mi>d</mi><msup><x:apply-templates  select="m:bvar/node()"/><x:apply-templates  select="m:bvar/m:degree/node()"/></msup></mrow></x:when><x:otherwise><mrow><mi>d</mi><x:apply-templates select="*[last()]"/></mrow><mrow><mi>d</mi><x:apply-templates select="m:bvar"/></mrow></x:otherwise></x:choose></mfrac></x:template>   <x:template match="m:apply[*[1][self::m:partialdiff] and m:list and m:ci and count(*)=3]" priority="2"><mrow><msub><mi>D</mi><mrow><x:for-each select="m:list[1]/*"><x:apply-templates select="."/><x:if test="position()&lt;last()"><mo>,</mo></x:if></x:for-each></mrow></msub><mrow><x:apply-templates select="*[3]"/></mrow></mrow></x:template> <x:template match="m:apply[*[1][self::m:partialdiff]]" priority="1"><mfrac><mrow><x:choose>      <x:when test="not(m:bvar/m:degree) and not(m:bvar[2])"> <mo>&#8706;</mo>        </x:when>       <x:otherwise>   <msup><mo>&#8706;</mo>  <mrow>  <x:choose>      <x:when test="m:degree">                <x:apply-templates select="m:degree/node()"/>   </x:when>       <x:when test="m:bvar/m:degree[string(number(.))=\'NaN\']">              <x:for-each select="m:bvar/m:degree">           <x:apply-templates select="node()"/>            <x:if test="position()&lt;last()"><mo>+</mo></x:if>             </x:for-each>           <x:if test="count(m:bvar[not(m:degree)])&gt;0">         <mo>+</mo><mn><x:value-of select="count(m:bvar[not(m:degree)])"/></mn>          </x:if> </x:when>       <x:otherwise>           <mn><x:value-of select="number(sum(m:bvar/m:degree))+count(m:bvar[not(m:degree)])"/></mn>       </x:otherwise>  </x:choose>     </mrow> </msup> </x:otherwise></x:choose><x:apply-templates  select="*[last()]"/></mrow><mrow><x:for-each select="m:bvar">      <mrow>  <mo>&#8706;</mo><msup><x:apply-templates select="node()"/>      <mrow><x:apply-templates select="m:degree/node()"/></mrow>      </msup> </mrow></x:for-each></mrow></mfrac></x:template>  <x:template match="m:apply[*[1][self::m:csymbol=\'partialdiffdegree\']]"><mrow><msub><mo>&#8706;</mo><mrow><x:apply-templates select="*[2]"/></mrow></msub><mfenced><x:apply-templates select="*[4]"/></mfenced></mrow></x:template>   <x:template match="m:lowlimit"/>  <x:template match="m:uplimit"/>  <x:template match="m:bvar"><mi><x:apply-templates/></mi><x:if test="following-sibling::m:bvar"><mo>,</mo></x:if></x:template>  <x:template match="m:degree"/>  <x:template match="m:divergence"><mi>div</mi></x:template> <x:template match="m:apply[*[1][self::m:divergence]and m:bvar and m:vector]"><x:variable name="v" select="m:bvar"/><mrow><mi>div</mi><mo>&#8289;</mo><mo>(</mo><mtable><x:for-each select="m:vector/*"><x:variable name="p" select="position()"/><mtr><mtd><x:apply-templates select="$v[$p]/*"/><mo>&#x21a6;</mo><x:apply-templates select="."/></mtd></mtr></x:for-each></mtable><mo>)</mo></mrow></x:template>  <x:template match="m:grad"><mi>grad</mi></x:template> <x:template match="m:apply[*[1][self::m:grad]and m:bvar]"><mrow><mi>grad</mi><mo>&#8289;</mo><mrow><mo>(</mo><mfenced><x:apply-templates select="m:bvar/*"/></mfenced><mo>&#x21a6;</mo><x:apply-templates select="*[position()!=1][not(self::m:bvar)]"/><mo>)</mo></mrow></mrow></x:template>  <x:template match="m:curl"><mi>curl</mi></x:template>   <x:template match="m:laplacian"><msup><mo>&#8711;</mo><mn>2</mn></msup></x:template> <x:template match="m:apply[*[1][self::m:laplacian]and m:bvar]"><mrow><x:apply-templates select="*[1]"/><mo>&#8289;</mo><mrow><mo>(</mo><mfenced><x:apply-templates select="m:bvar/*"/></mfenced><mo>&#x21a6;</mo><x:apply-templates select="*[position()!=1][not(self::m:bvar)]"/><mo>)</mo></mrow></mrow></x:template>   <x:template match="m:set"><x:call-template name="set"/></x:template> <x:template  match="m:apply[*[1][self::m:csymbol=\'set\']]"><mfenced open="{{" close="}}" separators=","><x:apply-templates select="*[position()!=1]"/></mfenced></x:template>   <x:template match="m:list"><x:call-template name="set"><x:with-param name="o" select="\'(\'"/><x:with-param name="c" select="\')\'"/></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:csymbol=\'list\']]"><mfenced open="(" close=")" separators=","><x:apply-templates select="*[position()!=1]"/></mfenced></x:template>  <x:template match="m:apply[*[1][self::m:union]]                        |m:apply[*[1][self::m:csymbol=\'union\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8746;</mo></x:with-param></x:call-template></x:template> <x:template match="m:apply[*[1][self::m:union]][m:bvar]                                 |m:apply[*[1][self::m:csymbol=\'union\']][m:bvar]"            priority="2" ><x:call-template name="sum"><x:with-param name="mo"><mo>&#x22C3;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:intersect]]                        |m:apply[*[1][self::m:csymbol=\'intersect\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="3"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8745;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:intersect]][m:bvar]                          |m:apply[*[1][self::m:csymbol=\'intersect\']][m:bvar]"        priority="2" ><x:call-template name="sum"><x:with-param name="mo"><mo>&#x22C2;</mo></x:with-param></x:call-template></x:template>    <x:template match="m:apply[*[1][self::m:in]]                        |m:apply[*[1][self::m:csymbol=\'in\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8712;</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:notin]]|m:reln[*[1][self::m:notin]]                        |m:apply[*[1][self::m:csymbol=\'notin\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8713;</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:subset]]                        |m:apply[*[1][self::m:csymbol=\'subset\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8838;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:prsubset]]                        |m:apply[*[1][self::m:csymbol=\'prsubset\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8834;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:notsubset]]                        |m:apply[*[1][self::m:csymbol=\'notsubset\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8840;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:notprsubset]]                        |m:apply[*[1][self::m:csymbol=\'notprsubset\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8836;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:setdiff]]                        |m:apply[*[1][self::m:csymbol=\'setdiff\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8726;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:card]]                        |m:apply[*[1][self::m:csymbol=\'card\']]"><mrow><mo>|</mo><x:apply-templates select="*[2]"/><mo>|</mo></mrow></x:template>  <x:template match="m:apply[*[1][self::m:cartesianproduct or self::m:vectorproduct]]                               |m:apply[*[1][self::m:csymbol[.=\'cartesian_product\' or . = \'vectorproduct\']]]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#215;</mo></x:with-param></x:call-template></x:template> <x:template match="m:apply[*[1][self::m:cartesianproduct][count(following-sibling::m:reals)=count(following-sibling::*)]]" priority="2"><msup><x:apply-templates select="*[2]"><x:with-param name="p" select="5"/></x:apply-templates><mn><x:value-of select="count(*)-1"/></mn></msup></x:template>   <x:template name="sum" match="m:apply[*[1][self::m:sum]]"><x:param name="mo"><mo>&#8721;</mo></x:param><mrow><munderover><x:copy-of select="$mo"/><mrow><x:apply-templates select="m:lowlimit|m:interval/*[1]|m:condition/*|m:domainofapplication/*"/></mrow><mrow><x:apply-templates select="m:uplimit/*|m:interval/*[2]"/></mrow></munderover><x:apply-templates select="*[last()]"/></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'sum\']]"><mrow><munder><mo>&#8721;</mo><x:apply-templates select="*[2]"/></munder><x:apply-templates select="*[last()]"/></mrow></x:template> <x:template match="m:apply/m:lowlimit" priority="3"><mrow><x:if test="../m:bvar"><x:apply-templates select="../m:bvar/node()"/><mo>=</mo></x:if><x:apply-templates/></mrow></x:template>  <x:template match="m:apply[*[1][self::m:product]]"><x:call-template name="sum"><x:with-param name="mo"><mo>&#8719;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:apply[*[1][self::m:csymbol=\'product\']]"><mrow><munder><mo>&#8719;</mo><x:apply-templates select="*[2]"/></munder><x:apply-templates select="*[last()]"/></mrow></x:template>  <x:template match="m:apply[*[1][self::m:limit]]"><mrow><munder><mi>lim</mi><mrow><x:apply-templates select="m:lowlimit|m:condition/*"/></mrow></munder><x:apply-templates select="*[last()]"/></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'limit\']][m:bind]"><mrow><munder><mi>lim</mi><mrow><x:apply-templates select="m:bind/m:bvar/*"/><mo><x:choose>   <x:when test="*[3]=\'above\'">&#8600;</x:when>  <x:when test="*[3]=\'below\'">&#8599;</x:when>  <x:otherwise>&#8594;</x:otherwise></x:choose></mo><x:apply-templates select="*[2]"/></mrow></munder><x:apply-templates select="m:bind/*[last()]"/></mrow></x:template>   <x:template match="m:apply[m:limit]/m:lowlimit" priority="4"><mrow><x:apply-templates select="../m:bvar/node()"/><mo>&#8594;</mo><x:apply-templates/></mrow></x:template>   <x:template match="m:apply[*[1][self::m:tendsto]]|m:reln[*[1][self::m:tendsto]]"><x:param name="p"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo><x:choose><x:when test="@type=\'above\'">&#8600;</x:when><x:when test="@type=\'below\'">&#8599;</x:when><x:when test="@type=\'two-sided\'">&#8594;</x:when><x:otherwise>&#8594;</x:otherwise></x:choose></mo></x:with-param></x:call-template></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'tendsto\']]"><mrow><x:apply-templates select="*[3]"/><mo><x:choose>       <x:when test="*[1][self::above]">&#8600;</x:when>       <x:when test="*[1][self::below]">&#8599;</x:when>       <x:when test="*[1][self::two-sided]">&#8594;</x:when>   <x:otherwise>&#8594;</x:otherwise></x:choose></mo><x:apply-templates select="*[4]"/></mrow></x:template> <x:template match="m:apply[*[1][self::m:semantics/m:ci=\'tendsto\']]"><mrow><x:apply-templates select="*[2]"/><mo>&#8594;</mo><x:apply-templates select="*[3]"/></mrow></x:template> <x:template match="m:tendsto"><mi>tendsto</mi></x:template>  <x:template match="m:apply[*[1][  self::m:sin or self::m:cos or self::m:tan or self::m:sec or  self::m:csc or self::m:cot or self::m:sinh or self::m:cosh or  self::m:tanh or self::m:sech or self::m:csch or self::m:coth or  self::m:arcsin or self::m:arccos or self::m:arctan or self::m:arccosh  or self::m:arccot or self::m:arccoth or self::m:arccsc or  self::m:arccsch or self::m:arcsec or self::m:arcsech or  self::m:arcsinh or self::m:arctanh or self::m:ln]]"><mrow><mi><x:value-of select="local-name(*[1])"/></mi><mo>&#8289;</mo><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates></mrow></x:template>  <x:template match="  m:sin | m:cos | m:tan | m:sec |  m:csc | m:cot | m:sinh | m:cosh |  m:tanh | m:sech | m:csch | m:coth |  m:arcsin | m:arccos | m:arctan | m:arccosh  | m:arccot | m:arccoth | m:arccsc |  m:arccsch | m:arcsec | m:arcsech |  m:arcsinh | m:arctanh | m:ln|m:mean|  m:plus|m:minus"><mi><x:value-of select="local-name()"/></mi></x:template>     <x:template match="m:apply[*[1][self::m:exp]]                        |m:apply[*[1][self::m:csymbol=\'exp\']]"><msup><mi>e</mi><mrow><x:apply-templates select="*[2]"/></mrow></msup></x:template>     <x:template match="m:apply[*[1][self::m:log]]                        |m:apply[*[1][self::m:csymbol=\'log\']]"><mrow><x:choose><x:when test="not(m:logbase) or m:logbase=10"><mi>log</mi></x:when><x:otherwise><msub><mi>log</mi><mrow><x:apply-templates select="m:logbase/node()"/></mrow></msub></x:otherwise></x:choose><mo>&#8289;</mo><x:apply-templates select="*[last()]"><x:with-param name="p" select="7"/></x:apply-templates></mrow></x:template>   <x:template match="m:apply[*[1][self::m:mean]]                        |m:apply[*[1][self::m:csymbol=\'mean\']]"><mrow><mo>&#9001;</mo><x:for-each select="*[position()&gt;1]"><x:apply-templates select="."/><x:if test="position() !=last()"><mo>,</mo></x:if></x:for-each><mo>&#9002;</mo></mrow></x:template>   <x:template match="m:sdev|m:csymbol[.=\'sdev\']"><mo>&#963;</mo></x:template>  <x:template match="m:apply[*[1][self::m:variance]]                        |m:apply[*[1][self::m:csymbol=\'variance\']]"><msup><mrow><mo>&#963;</mo><mo>&#8289;</mo><mfenced><x:apply-templates select="*[position()!=1]"/></mfenced></mrow><mn>2</mn></msup></x:template>   <x:template match="m:median"><mi>median</mi></x:template>   <x:template match="m:mode"><mi>mode</mi></x:template>  <x:template match="m:apply[*[1][self::m:moment]]"><mrow><mo>&#9001;</mo><msup><x:variable name="data"                     select="*[not(position()=1)]                            [not(self::m:degree or self::m:momentabout)]"/><x:choose>   <x:when test="$data[2]">        <mfenced>       <x:apply-templates select="$data"/>     </mfenced>      </x:when>       <x:otherwise>   <x:apply-templates select="$data"/>     </x:otherwise></x:choose><mrow><x:apply-templates select="m:degree/node()"/></mrow></msup><mo>&#9002;</mo></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'moment\']]"><msub><mrow><mo>&#9001;</mo><msup> <x:apply-templates select="*[4]"/>      <x:apply-templates select="*[2]"/></msup><mo>&#9002;</mo></mrow><x:apply-templates select="*[3]"/>       </msub></x:template>  <x:template match="m:momentabout"/> <x:template match="m:apply[*[1][self::m:moment]][m:momentabout]" priority="2"><msub><mrow><mo>&#9001;</mo><msup>     <x:variable name="data"                       select="*[not(position()=1)]                            [not(self::m:degree or self::m:momentabout)]"/>   <x:choose>      <x:when test="$data[2]">        <mfenced>       <x:apply-templates select="$data"/>     </mfenced>      </x:when>       <x:otherwise>   <x:apply-templates select="$data"/>     </x:otherwise>  </x:choose>     <mrow><x:apply-templates select="m:degree/node()"/></mrow></msup><mo>&#9002;</mo></mrow><mrow><x:apply-templates select="m:momentabout/*"/></mrow></msub></x:template>  <x:template match="m:vector"><mrow><mo>(</mo><mtable><x:for-each select="*"><mtr><mtd><x:apply-templates select="."/></mtd></mtr></x:for-each></mtable><mo>)</mo></mrow></x:template>  <x:template match="m:vector[m:condition]"><mrow><mo>[</mo><x:apply-templates select="*[last()]"/><mo>|</mo><x:apply-templates select="m:condition"/><mo>]</mo></mrow></x:template> <x:template match="m:vector[m:domainofapplication]"><mrow><mo>[</mo><x:apply-templates select="*[last()]"/><mo>|</mo><x:apply-templates select="m:bvar/*"/><mo>&#x2208;</mo><x:apply-templates select="m:domainofapplication/*"/><mo>]</mo></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'vector\']]"><mrow><mo>(</mo><mtable><x:for-each select="*[position()!=1]"><mtr><mtd><x:apply-templates select="."/></mtd></mtr></x:for-each></mtable><mo>)</mo></mrow></x:template>  <x:template match="m:matrix"><mrow><mo>(</mo><mtable><x:apply-templates/></mtable><mo>)</mo></mrow></x:template> <x:template match="m:matrix[m:condition]"><mrow><mo>[</mo><msub><mi>m</mi><mrow>      <x:for-each select="m:bvar">    <x:apply-templates/>    <x:if test="position()!=last()"><mo>,</mo></x:if>       </x:for-each></mrow></msub><mo>|</mo><mrow><msub>       <mi>m</mi>      <mrow>  <x:for-each select="m:bvar">    <x:apply-templates/>    <x:if test="position()!=last()"><mo>,</mo></x:if>       </x:for-each>   </mrow></msub><mo>=</mo><x:apply-templates select="*[last()]"/></mrow><mo>;</mo><x:apply-templates select="m:condition"/><mo>]</mo></mrow></x:template> <x:template match="m:apply[*[1][self::m:csymbol=\'matrix\']]"><mrow><mo>(</mo><mtable><x:apply-templates select="*[position()!=1]"/></mtable><mo>)</mo></mrow></x:template>   <x:template match="m:matrix/m:matrixrow"><mtr><x:for-each select="*"><mtd><x:apply-templates select="."/></mtd></x:for-each></mtr></x:template> <x:template match="m:matrixrow"><mtable><mtr><x:for-each select="*"><mtd><x:apply-templates select="."/></mtd></x:for-each></mtr></mtable></x:template> <x:template match="m:apply[*[1][self::m:csymbol.=\'matrixrow\']]"><mtr><x:for-each select="*[position()!=1]"><mtd><x:apply-templates select="."/></mtd></x:for-each></mtr></x:template>  <x:template match="m:apply[*[1][self::m:determinant]]                        |m:apply[*[1][self::m:csymbol=\'determinant\']]"><mrow><mi>det</mi><mo>&#8289;</mo><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates></mrow></x:template> <x:template match="m:apply[*[1][self::m:determinant]][*[2][self::m:matrix]]" priority="2"><mrow><mo>|</mo><mtable><x:apply-templates select="m:matrix/*"/></mtable><mo>|</mo></mrow></x:template>  <x:template match="m:apply[*[1][self::m:transpose]]                        |m:apply[*[1][self::m:csymbol=\'transpose\']]"><msup><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates><mi>T</mi></msup></x:template>  <x:template match="m:apply[*[1][self::m:selector]]                        |m:apply[*[1][self::m:csymbol=\'selector\']]"><msub><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates><mrow><x:for-each select="*[position()&gt;2]"><x:apply-templates select="."/><x:if test="position() !=last()"><mo>,</mo></x:if></x:for-each></mrow></msub></x:template>      <x:template match="m:apply[*[1][self::m:scalarproduct]]                        |m:apply[*[1][self::m:csymbol=\'scalarproduct\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>.</mo></x:with-param></x:call-template></x:template>   <x:template match="m:apply[*[1][self::m:outerproduct]]                        |m:apply[*[1][self::m:csymbol=\'outerproduct\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#x2297;</mo></x:with-param></x:call-template></x:template>  <x:template match="m:semantics"><x:apply-templates select="*[1]"/></x:template><x:template match="m:semantics[m:annotation-xml/@encoding=\'MathML-Presentation\']"><x:apply-templates select="m:annotation-xml[@encoding=\'MathML-Presentation\']/node()"/></x:template>  <x:template match="m:integers"><mi mathvariant="double-struck">Z</mi></x:template>  <x:template match="m:reals"><mi mathvariant="double-struck">R</mi></x:template>  <x:template match="m:rationals"><mi mathvariant="double-struck">Q</mi></x:template>  <x:template match="m:naturalnumbers"><mi mathvariant="double-struck">N</mi></x:template>  <x:template match="m:complexes"><mi mathvariant="double-struck">C</mi></x:template>  <x:template match="m:primes"><mi mathvariant="double-struck">P</mi></x:template>  <x:template match="m:exponentiale"><mi>e</mi></x:template>  <x:template match="m:imaginaryi"><mi>i</mi></x:template>  <x:template match="m:notanumber"><mi>NaN</mi></x:template>  <x:template match="m:true"><mi>true</mi></x:template>  <x:template match="m:false"><mi>false</mi></x:template>  <x:template match="m:emptyset|m:csymbol[.=\'emptyset\']"><mi>&#8709;</mi></x:template>   <x:template match="m:pi|m:csymbol[.=\'pi\']"><mi>&#960;</mi></x:template>  <x:template match="m:eulergamma|m:csymbol[.=\'gamma\']"><mi>&#947;</mi></x:template>  <x:template match="m:infinity|m:csymbol[.=\'infinity\']"><mi>&#8734;</mi></x:template>   <x:template name="infix" ><x:param name="mo"/><x:param name="p" select="0"/><x:param name="this-p" select="0"/><x:variable name="dmo"><x:choose><x:when test="m:domainofapplication"><munder><x:copy-of select="$mo"/><mrow>  <x:apply-templates select="m:domainofapplication/*"/></mrow></munder></x:when><x:otherwise><x:copy-of select="$mo"/></x:otherwise></x:choose></x:variable><mrow><x:if test="$this-p &lt; $p"><mo>(</mo></x:if><x:for-each select="*[not(self::m:domainofapplication)][position()&gt;1]"><x:if test="position() &gt; 1"><x:copy-of select="$dmo"/></x:if><x:apply-templates select="."><x:with-param name="p" select="$this-p"/></x:apply-templates></x:for-each><x:if test="$this-p &lt; $p"><mo>)</mo></x:if></mrow></x:template> <x:template name="binary" ><x:param name="mo"/><x:param name="p" select="0"/><x:param name="this-p" select="0"/><mrow><x:if test="$this-p &lt; $p"><mo>(</mo></x:if><x:apply-templates select="*[2]"><x:with-param name="p" select="$this-p"/></x:apply-templates><x:copy-of select="$mo"/><x:apply-templates select="*[3]"><x:with-param name="p" select="$this-p"/></x:apply-templates><x:if test="$this-p &lt; $p"><mo>)</mo></x:if></mrow></x:template> <x:template name="set" ><x:param name="o" select="\'{\'"/><x:param name="c" select="\'}\'"/><mrow><mo><x:value-of select="$o"/></mo><x:choose><x:when test="m:condition"><mrow><x:apply-templates select="m:condition/following-sibling::*"/></mrow><mo>|</mo><mrow><x:apply-templates select="m:condition/node()"/></mrow></x:when><x:when test="m:domainofapplication"><mrow><x:apply-templates select="m:domainofapplication/following-sibling::*"/></mrow><mo>|</mo><mrow><x:apply-templates select="m:bvar/node()"/></mrow><mo>&#8712;</mo><mrow><x:apply-templates select="m:domainofapplication/node()"/></mrow></x:when><x:otherwise><x:for-each select="*[not(position()=1 and parent::m:apply)]"><x:apply-templates select="."/><x:if test="position() !=last()"><mo>,</mo></x:if></x:for-each></x:otherwise></x:choose><mo><x:value-of select="$c"/></mo></mrow></x:template>    <x:template match="m:cs"><ms><x:value-of select="                     translate(.,                    \'&#9;&#10;&#13;&#32;\',                        \'&#160;&#160;&#160;&#160;\')"/></ms></x:template> <x:template match="m:cbytes"><mrow/></x:template> <x:template match="m:cerror"><merror><x:apply-templates/></merror></x:template> <x:template match="m:share" priority="4"><mi href="{@href}">share<x:value-of select="substring-after(@href,\'#\')"/></mi></x:template>   <x:output indent="yes" omit-xml-declaration="yes"/> <x:template match="*"><x:copy><x:copy-of select="@*"/><x:apply-templates/></x:copy></x:template> <x:template match="*[@dir=\'rtl\']"  priority="10"><!--starting rtl<x:value-of select="name()"/>.--><x:apply-templates mode="rtl" select="."/></x:template> <x:template match="@*" mode="rtl"><x:copy-of select="."/></x:template><x:template match="*" mode="rtl"><x:copy><x:apply-templates select="@*" mode="rtl"/><x:for-each select="node()"><x:sort data-type="number" order="descending" select="position()"/><x:text></x:text><x:apply-templates mode="rtl" select="."/></x:for-each></x:copy></x:template> <x:template match="@open" mode="rtl"><x:attribute name="close"><x:value-of select="."/></x:attribute></x:template> <x:template match="@open[.=\'(\']" mode="rtl"><x:attribute name="close">)</x:attribute></x:template> <x:template match="@open[.=\')\']" mode="rtl"><x:attribute name="close">(</x:attribute></x:template>  <x:template match="@open[.=\'[\']" mode="rtl"><x:attribute name="close">]</x:attribute></x:template>  <x:template match="@open[.=\']\']" mode="rtl"><x:attribute name="close">[</x:attribute></x:template>  <x:template match="@open[.=\'{\']" mode="rtl"><x:attribute name="close">}</x:attribute></x:template>  <x:template match="@open[.=\'}\']" mode="rtl"><x:attribute name="close">{</x:attribute></x:template>  <x:template match="@close" mode="rtl"><x:attribute name="open"><x:value-of select="."/></x:attribute></x:template> <x:template match="@close[.=\'(\']" mode="rtl"><x:attribute name="open">)</x:attribute></x:template> <x:template match="@close[.=\')\']" mode="rtl"><x:attribute name="open">(</x:attribute></x:template>  <x:template match="@close[.=\'[\']" mode="rtl"><x:attribute name="open">]</x:attribute></x:template>  <x:template match="@close[.=\']\']" mode="rtl"><x:attribute name="open">[</x:attribute></x:template>  <x:template match="@close[.=\'{\']" mode="rtl"><x:attribute name="open">}</x:attribute></x:template>  <x:template match="@close[.=\'}\']" mode="rtl"><x:attribute name="open">{</x:attribute></x:template> <x:template match="m:mfrac[@bevelled=\'true\']" mode="rtl"><mrow><msub><mi></mi><x:apply-templates select="*[2]" mode="rtl"/></msub><mo>&#x5c;</mo><msup><mi></mi><x:apply-templates select="*[1]" mode="rtl"/></msup></mrow></x:template> <x:template match="m:mfrac" mode="rtl"><x:copy><x:apply-templates mode="rtl" select="@*|*"/></x:copy></x:template>   <x:template match="m:mroot" mode="rtl"><msup><menclose notation="top right"><x:apply-templates mode="rtl" select="@*|*[1]"/></menclose><x:apply-templates mode="rtl" select="*[2]"/></msup></x:template>  <x:template match="m:msqrt" mode="rtl"><menclose notation="top right"><x:apply-templates mode="rtl" select="@*|*[1]"/></menclose></x:template> <x:template match="m:mtable|m:munder|m:mover|m:munderover" mode="rtl" priority="2"><x:copy><x:apply-templates select="@*" mode="rtl"/><x:apply-templates mode="rtl"></x:apply-templates></x:copy></x:template><x:template match="m:msup" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><none/><x:apply-templates select="*[2]" mode="rtl"/></mmultiscripts></x:template><x:template match="m:msub" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:apply-templates select="*[2]" mode="rtl"/><none/></mmultiscripts></x:template><x:template match="m:msubsup" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:apply-templates select="*[2]" mode="rtl"/><x:apply-templates select="*[3]" mode="rtl"/></mmultiscripts></x:template><x:template match="m:mmultiscripts" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><x:for-each  select="m:mprescripts/following-sibling::*[position() mod 2 = 1]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="."  mode="rtl"/><x:apply-templates select="following-sibling::*[1]"  mode="rtl"/></x:for-each><mprescripts/><x:for-each  select="m:mprescripts/preceding-sibling::*[position()!=last()][position() mod 2 = 0]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="."  mode="rtl"/><x:apply-templates select="following-sibling::*[1]"  mode="rtl"/></x:for-each></mmultiscripts></x:template><x:template match="m:mmultiscripts[not(m:mprescripts)]" mode="rtl" priority="3"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:for-each  select="*[position() mod 2 = 0]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="."  mode="rtl"/><x:apply-templates select="following-sibling::*[1]"  mode="rtl"/></x:for-each></mmultiscripts></x:template><x:template match="text()[.=\'(\']" mode="rtl">)</x:template><x:template match="text()[.=\')\']" mode="rtl">(</x:template><x:template match="text()[.=\'{\']" mode="rtl">}</x:template><x:template match="text()[.=\'}\']" mode="rtl">{</x:template><x:template match="text()[.=\'&lt;\']" mode="rtl">&gt;</x:template><x:template match="text()[.=\'&gt;\']" mode="rtl">&lt;</x:template><x:template match="text()[.=\'&#x2208;\']" mode="rtl">&#x220b;</x:template><x:template match="text()[.=\'&#x220b;\']" mode="rtl">&#x2208;</x:template><x:template match="text()[.=\'&#x2211;\']|text()[.=\'&#x222b;\']" mode="rtl"><svg width="20" height="20" version="1.1" xmlns="http://www.w3.org/2000/svg"><g transform="matrix(-1 0 0 1 0 0 )"><text id="TextElement" x="-20" y="15" ><x:value-of select="."/></text></g></svg></x:template> <x:template match="@notation[.=\'radical\']" mode="rtl"><x:attribute name="notation">top right</x:attribute></x:template>   <x:template name="mml2attrib"><!-- <x:copy-of select="@*[not(local-name()=\'href\')]"/> --><x:copy-of select="@*[not(local-name()=\'href\')]"/><x:attribute name="style"><x:if test="@style"><x:value-of select="@style"/>;</x:if><x:if test="@mathcolor">color:<x:value-of select="@mathcolor"/>;</x:if><x:if test="@mathbackground">background-color:<x:value-of select="@mathbackground"/>;</x:if></x:attribute></x:template>  <!-- <x:template match="*[@href]" priority="3"><a xmlns="http://www.w3.org/1999/xhtml" style="text-decoration: none" href="{@href}"><x:copy><x:call-template name="mml2attrib"/><x:attribute name="class"><x:text>mmlhref</x:text><x:value-of select="@class"/></x:attribute><x:apply-templates/></x:copy></a></x:template>--><x:template match="*[@mathcolor|@mathbackground]"><x:copy><x:call-template name="mml2attrib"/><x:apply-templates/></x:copy></x:template>   <x:param name="hascolspan" select="true()"/> <x:template match="m:mstack"><mtable columnspacing="0em"><x:variable name="t"><x:apply-templates select="*" mode="mstack1"><x:with-param name="p" select="0"/></x:apply-templates></x:variable><x:variable name="maxl"><x:for-each select="c:node-set($t)/*/@l"><x:sort data-type="number" order="descending"/><x:if test="position()=1"><x:value-of select="."/></x:if></x:for-each></x:variable><x:for-each select="c:node-set($t)/*[not(@class=\'mscarries\') or following-sibling::*[1]/@class=\'mscarries\']"><x:variable name="c" select="preceding-sibling::*[1][@class=\'mscarries\']"/><x:text>&#10;</x:text><mtr><x:variable name="offset" select="$maxl - @l"/><x:choose><x:when test="$hascolspan and @class=\'msline\' and (string(*[1]/@columnspan)=\'\' or string(*[1]/@columnspan)=\'0\')"><mtd columnspan="{$maxl}"><x:copy-of select="*/@style"/></mtd></x:when><x:when test="@class=\'msline\' and @l=\'*\'"><x:variable name="msl" select="*[1]"/><x:for-each select="(//node())[position()&lt;=$maxl]"><x:copy-of select="$msl"/></x:for-each></x:when><x:when test="$c"><x:variable name="ldiff" select="$c/@l - @l"/><x:variable name="loffset" select="$maxl - $c/@l"/><x:for-each select="(//*)[position()&lt;= $offset]"><x:variable name="pn" select="position()"/><x:variable name="cy" select="$c/*[position()=$pn - $loffset]"/>      <mtd>   <x:if test="$cy/*"/>    <mover><mphantom><mn>0</mn></mphantom><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*/*"/></mpadded></mover>   </mtd></x:for-each><x:for-each select="*"><x:variable name="pn" select="position()"/><x:variable name="cy" select="$c/*[position()=$pn + $ldiff]"/><x:copy>     <x:copy-of select="@*"/>        <x:variable name="b">   <x:choose>      <x:when test="not(string($cy/@crossout) or $cy/@crossout=\'none\')"><x:copy-of select="*"/></x:when>    <x:otherwise>   <menclose notation="{$cy/@crossout}"><x:copy-of select="*"/></menclose> </x:otherwise>  </x:choose>     </x:variable>   <x:choose>      <x:when test="$cy/*/m:none or not($cy/*/*)"><x:copy-of select="$b"/></x:when>   <x:when test="not(string($cy/@location)) or $cy/@location=\'n\'">       <mover><x:copy-of select="$b"/><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*/*"/></mpadded></mover>  </x:when>       <x:when test="$cy/@location=\'nw\'">    <mmultiscripts><x:copy-of select="$b"/><mprescripts/><none/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*/*"/></mpadded></mmultiscripts>       </x:when>       <x:when test="$cy/@location=\'s\'">     <munder><x:copy-of select="$b"/><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*/*"/></mpadded></munder>        </x:when>       <x:when test="$cy/@location=\'sw\'">    <mmultiscripts><x:copy-of select="$b"/><mprescripts/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*/*"/></mpadded><none/></mmultiscripts>       </x:when>       <x:when test="$cy/@location=\'ne\'">    <msup><x:copy-of select="$b"/><mpadded width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msup>       </x:when>       <x:when test="$cy/@location=\'se\'">    <msub><x:copy-of select="$b"/><mpadded width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msub>       </x:when>       <x:when test="$cy/@location=\'w\'">     <msup><mrow/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msup>       <x:copy-of select="$b"/>        </x:when>       <x:when test="$cy/@location=\'e\'">     <x:copy-of select="$b"/>        <msup><mrow/><mpadded width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msup>        </x:when>       <x:otherwise>   <x:copy-of select="$b"/>        </x:otherwise>  </x:choose></x:copy></x:for-each></x:when><x:otherwise><x:for-each select="(//*)[position()&lt;= $offset]"><mtd/></x:for-each><x:copy-of select="*"/></x:otherwise></x:choose></mtr></x:for-each></mtable></x:template> <x:template mode="mstack1" match="*"><x:param name="p"/><x:param name="maxl" select="0"/><mtr l="{1 + $p}"><x:if test="ancestor::mstack[1]/@stackalign=\'left\'"><x:attribute name="l"><x:value-of  select="$p"/></x:attribute></x:if><mtd><x:apply-templates select="."/></mtd></mtr></x:template>  <x:template mode="mstack1" match="m:msrow"><x:param name="p"/><x:param name="maxl" select="0"/><x:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><x:variable name="row"><x:apply-templates mode="mstack1" select="*"><x:with-param name="p" select="0"/></x:apply-templates></x:variable><x:text>&#10;</x:text><x:variable name="l1"><x:choose><x:when test="$align=\'decimalpoint\' and m:mn"><x:for-each select="c:node-set($row)/m:mtr[m:mtd/m:mn][1]"><x:value-of select="number(sum(@l))+count(preceding-sibling::*/@l)"/></x:for-each></x:when><x:when test="$align=\'right\' or $align=\'decimalpoint\'"><x:value-of select="count(c:node-set($row)/m:mtr/m:mtd)"/></x:when><x:otherwise><x:value-of select="0"/></x:otherwise></x:choose></x:variable><mtr class="msrow" l="{number($l1) + number(sum(@position)) +$p}"><x:copy-of select="c:node-set($row)/m:mtr/*"/></mtr></x:template> <x:template mode="mstack1" match="m:mn"><x:param name="p"/><x:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="dp1" select="ancestor::*[@decimalpoint][1]/@decimalpoint"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><x:variable name="dp"><x:choose><x:when test="string($dp1)=\'\'">.</x:when><x:otherwise><x:value-of select="$dp1"/></x:otherwise></x:choose></x:variable><mtr l="$p"><x:variable name="mn" select="normalize-space(.)"/><x:variable name="len" select="string-length($mn)"/><x:choose><x:when test="$align=\'right\' or ($align=\'decimalpoint\' and not(contains($mn,$dp)))"><x:attribute name="l"><x:value-of select="$p + $len"/></x:attribute></x:when><x:when test="$align=\'decimalpoint\'"><x:attribute name="l"><x:value-of select="$p + string-length(substring-before($mn,$dp))"/></x:attribute></x:when></x:choose> <x:for-each select="(//node())[position() &lt;=$len]"><x:variable name="pos" select="position()"/><mtd><mn><x:value-of select="substring($mn,$pos,1)"/></mn></mtd></x:for-each></mtr></x:template>  <x:template match="m:msgroup" mode="mstack1"><x:param name="p"/><x:variable name="s" select="number(sum(@shift))"/><x:variable name="thisp" select="number(sum(@position))"/><x:for-each select="*"><x:apply-templates mode="mstack1" select="."><x:with-param name="p" select="number($p)+$thisp+(position()-1)*$s"/></x:apply-templates></x:for-each></x:template>    <x:template match="m:msline" mode="mstack1"><x:param name="p"/><x:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><mtr class="msline"><x:attribute name="l"><x:choose><x:when test="not(string(@length)) or @length=0">*</x:when><x:when test="string($align)=\'right\' or string($align)=\'decimalpoint\' "><x:value-of select="$p+ @length"/></x:when><x:otherwise><x:value-of select="$p"/></x:otherwise></x:choose></x:attribute><x:variable name="w"><x:choose><x:when test="@mslinethickness=\'thin\'">0.1em</x:when><x:when test="@mslinethickness=\'medium\'">0.15em</x:when><x:when test="@mslinethickness=\'thick\'">0.2em</x:when><x:when test="@mslinethickness"><x:value-of select="@mslinethickness"/></x:when><x:otherwise>0.15em</x:otherwise></x:choose></x:variable><x:choose><x:when test="$hascolspan"><mtd class="msline" columnspan="{@length}"><x:copy-of select="@position"/><x:attribute name="style"><x:value-of select="concat(\'border-style: solid; border-width: 0 0 \',$w,\' 0\')"/></x:attribute></mtd></x:when><x:when test="not(string(@length)) or @length=0"><mtd class="mslinemax"><mpadded lspace="-0.5em" width="0em" height="0em"><mfrac linethickness="{$w}"><mspace width="1em"/><mrow/></mfrac></mpadded></mtd></x:when><x:otherwise><x:variable name="l" select="@length"/><x:for-each select="(//node())[position()&lt;=$l]"><mtd class="msline"><mpadded lspace="-0.5em" width="0em" height="0em"><mfrac linethickness="{$w}">    <mspace width="1em"/>   <mrow/></mfrac></mpadded></mtd></x:for-each></x:otherwise></x:choose></mtr></x:template>  <x:template match="m:mscarries" mode="mstack1"><x:param name="p"/><x:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="l1"><x:choose><x:when test="string($align1)=\'left\'">0</x:when><x:otherwise><x:value-of select="count(*)"/></x:otherwise></x:choose></x:variable><mtr class="mscarries" l="{$p + $l1 + sum(@position)}"><x:apply-templates select="*" mode="msc"/></mtr></x:template> <x:template match="*" mode="msc"><mtd><x:copy-of select="../@location|../@crossout"/><mstyle mathsize="70%"><x:apply-templates select="."/></mstyle></mtd></x:template> <x:template match="m:mscarry" mode="msc"><mtd><x:copy-of select="@location|@crossout"/><mstyle mathsize="70%"><x:apply-templates select="*"/></mstyle></mtd></x:template>  <x:template match="m:mlongdiv"><x:variable name="ms"><mstack><x:copy-of select="(ancestor-or-self::*/@decimalpoint)[last()]"/><x:choose><x:when test="@longdivstyle=\'left/\right\'"><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>/</mo><x:copy-of select="*[3]"/><mo></mo><x:copy-of select="*[2]"/></msrow></x:when><x:when test="@longdivstyle=\'left)(right\'"><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>)</mo><x:copy-of select="*[3]"/><mo>(</mo><x:copy-of select="*[2]"/></msrow></x:when><x:when test="@longdivstyle=\':right=right\'"><msrow><x:copy-of select="*[3]"/><mo>:</mo><x:copy-of select="*[1]"/><mo>=</mo><x:copy-of select="*[2]"/></msrow></x:when><x:otherwise><x:copy-of select="*[2]"/><msline length="{string-length(*[3])}"/><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>)</mo><x:copy-of select="*[3]"/></msrow></x:otherwise></x:choose><x:copy-of select="*[position()&gt;3]"/></mstack></x:variable><x:apply-templates select="c:node-set($ms)"/></x:template>    <x:template match="m:menclose[@notation=\'madruwb\']" mode="rtl"><menclose notation="bottom right"><x:apply-templates mode="rtl"/></menclose></x:template> </x:stylesheet>';var d;if(window.XSLTProcessor){if(!c.ParseXML){c.ParseXML=c.createParser()}c.ctopXSLT=new XSLTProcessor();c.ctopXSLT.importStylesheet(c.ParseXML(a))}else{if(MathJax.Hub.Browser.isMSIE){if(MathJax.Hub.Browser.versionAtLeast("9.0")){d=new ActiveXObject("Msxml2.FreeThreadedDOMDocument");d.loadXML(a);var b=new ActiveXObject("Msxml2.XSLTemplate");b.stylesheet=d;c.ctopXSLT={ctop:b.createProcessor(),transformToDocument:function(f){this.ctop.input=f;this.ctop.transform();return this.ctop.output}}}else{d=c.createMSParser();d.async=false;d.loadXML(a);c.ctopXSLT={ctop:d,transformToDocument:function(f){return f.documentElement.transformNode(this.ctop)}}}}else{c.ctopXSLT=null}}MathJax.Hub.Startup.signal.Post("MathML content-mathml Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/content-mathml.js");
+MathJax.Extension["MathML/content-mathml"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var c=MathJax.InputJax.MathML,e=c.Parse.prototype;c.prefilterHooks.Add(function(h){if(!c.ctopXSLT){return}if(!c.ParseXML){c.ParseXML=c.createParser()}var i=c.ParseXML(e.preProcessMath(h.math));var g=c.ctopXSLT.transformToDocument(i);if((typeof g)==="string"){h.math=g}else{if(window.XMLSerializer){var f=new XMLSerializer();h.math=f.serializeToString(g.documentElement,i)}}});var a='<x:stylesheet version="1.0" xmlns:x="http://www.w3.org/1999/XSL/Transform" xmlns="http://www.w3.org/1998/Math/MathML" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:c="http://exslt.org/common" exclude-result-prefixes="m c"><!-- Copyright David Carlisle 2001, 2002, 2008, 2009, 2013. Use and distribution of this code are permitted under the terms of the <a href="http://www.w3.org/Consortium/Legal/copyright-software-19980720" >W3C Software Notice and License</a>. Or the Apache 2, MIT or MPL 1.1 or MPL 2.0 licences. --> <x:output method="xml" /><x:template match="/"><x:apply-templates/></x:template><x:template match="*"><x:copy><x:copy-of select="@*"/><x:apply-templates/></x:copy></x:template><x:template match="m:cn"><mn><x:apply-templates/></mn></x:template><x:template match="m:cn[@type=\'complex-cartesian\']"><mrow><mn><x:apply-templates select="text()[1]"/></mn><mo>+</mo><mn><x:apply-templates select="text()[2]"/></mn><mo>&#8290;<!--invisible times--></mo><mi>i<!-- imaginary i --></mi></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'complex_cartesian\']]"><mrow><mn><x:apply-templates select="*[2]"/></mn><mo>+</mo><mn><x:apply-templates select="*[3]"/></mn><mo>&#8290;<!--invisible times--></mo><mi>i<!-- imaginary i --></mi></mrow></x:template><x:template match="m:cn[@type=\'rational\']"><mrow><mn><x:apply-templates select="text()[1]"/></mn><mo>/</mo><mn><x:apply-templates select="text()[2]"/></mn></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'rational\']]"><mrow><mn><x:apply-templates select="*[2]"/></mn><mo>/</mo><mn><x:apply-templates select="*[3]"/></mn></mrow></x:template><x:template match="m:cn[not(@type) or @type=\'integer\']"><x:choose><x:when test="not(@base) or @base=10"><mn><x:apply-templates/></mn></x:when><x:otherwise><msub><mn><x:apply-templates/></mn><mn><x:value-of select="@base"/></mn></msub></x:otherwise></x:choose></x:template><x:template match="m:cn[@type=\'complex-polar\']"><mrow><mn><x:apply-templates select="text()[1]"/></mn><mo>&#8290;<!--invisible times--></mo><msup><mi>e<!-- exponential e--></mi><mrow><mi>i<!-- imaginary i--></mi><mo>&#8290;<!--invisible times--></mo><mn><x:apply-templates select="text()[2]"/></mn></mrow></msup></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'complex_polar\']]"><mrow><x:apply-templates select="*[2]"/><mo>&#8290;<!--invisible times--></mo><msup><mi>e<!-- exponential e--></mi><mrow><mi>i<!-- imaginary i--></mi><mo>&#8290;<!--invisible times--></mo><x:apply-templates select="*[3]"/></mrow></msup></mrow></x:template><x:template match="m:cn[@type=\'e-notation\']"><mn><x:apply-templates select="m:sep/preceding-sibling::node()"/><x:text>E</x:text><x:apply-templates select="m:sep/following-sibling::node()"/></mn></x:template><x:template match="m:cn[@type=\'hexdouble\']"><mn><x:text>0x</x:text><x:apply-templates/></mn></x:template><x:template match="m:ci/text()"><mi><x:value-of select="."/></mi></x:template><x:template match="m:ci"><mrow><x:apply-templates/></mrow></x:template><x:template match="m:csymbol/text()"><mi><x:value-of select="."/></mi></x:template><x:template match="m:csymbol"><mrow><x:apply-templates/></mrow></x:template><x:template match="m:apply|m:reln"><mrow><x:choose><x:when test="*[1]/*/*"><mfenced separators=""><x:apply-templates select="*[1]"><x:with-param name="p" select="10"/></x:apply-templates></mfenced></x:when><x:otherwise><x:apply-templates select="*[1]"><x:with-param name="p" select="10"/></x:apply-templates></x:otherwise></x:choose><mo>&#8289;<!--function application--></mo><mfenced open="(" close=")" separators=","><x:apply-templates select="*[position()>1]"/></mfenced></mrow></x:template><x:template match="m:bind"><mrow><x:choose><x:when test="*[1]/*/*"><mfenced separators=""><x:apply-templates select="*[1]"><x:with-param name="p" select="10"/></x:apply-templates></mfenced></x:when><x:otherwise><x:apply-templates select="*[1]"><x:with-param name="p" select="10"/></x:apply-templates></x:otherwise></x:choose><x:apply-templates select="bvar/*"/><mo>.</mo><x:apply-templates select="*[position()>1][not(self::m:bvar)]"/></mrow></x:template><x:template match="m:fn"><mrow><x:apply-templates/></mrow></x:template><x:template match="m:interval[*[2]]"><mfenced open="[" close="]"><x:apply-templates/></mfenced></x:template><x:template match="m:interval[*[2]][@closure=\'open\']" priority="2"><mfenced open="(" close=")"><x:apply-templates/></mfenced></x:template><x:template match="m:interval[*[2]][@closure=\'open-closed\']" priority="2"><mfenced open="(" close="]"><x:apply-templates/></mfenced></x:template><x:template match="m:interval[*[2]][@closure=\'closed-open\']" priority="2"><mfenced open="[" close=")"><x:apply-templates/></mfenced></x:template><x:template match="m:interval"><mfenced open="{{" close="}}"><x:apply-templates/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'integer_interval\']]"><mfenced open="[" close="]"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'interval\']]"><mfenced open="[" close="]"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'interval-cc\']]"><mfenced open="[" close="]"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'interval-oo\']]"><mfenced open="(" close=")"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'oriented_interval\']]"><mfenced open="(" close=")"><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:inverse]] |m:apply[*[1][self::m:csymbol=\'inverse\']]"><msup><x:apply-templates select="*[2]"/><mrow><mo>(</mo><mn>-1</mn><mo>)</mo></mrow></msup></x:template><x:template match="m:condition"><mrow><x:apply-templates/></mrow></x:template><x:template match="m:declare"/><x:template match="m:lambda |m:apply[*[1][self::m:csymbol=\'lambda\']] |m:bind[*[1][self::m:csymbol=\'lambda\']]"><mrow><mi>&#955;<!--lambda--></mi><mrow><x:choose><x:when test="m:condition"><x:apply-templates select="m:condition/*"/></x:when><x:otherwise><x:apply-templates select="m:bvar/*"/></x:otherwise></x:choose><x:if test="m:domainofapplication"><mo>&#x2208;</mo><x:apply-templates select="m:domainofapplication/*"/></x:if></mrow><mo>.</mo><mfenced><x:apply-templates select="*[last()]"/></mfenced></mrow></x:template><x:template match="m:lambda[not(m:bvar)]" priority="2"><mrow><x:apply-templates select="*[last()]"/><msub><mo>|</mo><mrow><x:apply-templates select="m:condition|m:interval|m:domainofapplication/*"/></mrow></msub></mrow></x:template><x:template match="m:apply[*[1][self::m:compose]] |m:apply[*[1][self::m:csymbol=\'left_compose\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8728;<!-- o --></mo></x:with-param></x:call-template></x:template><x:template match="m:ident"><mi>id</mi></x:template><x:template match="m:domain"><mi>domain</mi></x:template><x:template match="m:codomain"><mi>codomain</mi></x:template><x:template match="m:image"><mi>image</mi></x:template><x:template match="m:domainofapplication"><merror><mtext>unexpected domainofapplication</mtext></merror></x:template><x:template match="m:apply[*[2][self::m:bvar]][m:domainofapplication]" priority="0.4"><mrow><munder><x:apply-templates select="*[1]"/><mrow><x:apply-templates select="m:bvar/*"/><mo>&#8712;<!-- in --></mo><x:apply-templates select="m:domainofapplication/*"/></mrow></munder><mfenced><x:apply-templates select="m:domainofapplication/following-sibling::*"/></mfenced></mrow></x:template><x:template match="m:apply[m:domainofapplication]" priority="0.3"><mrow><mrow><mi>restriction</mi><mfenced><x:apply-templates select="*[1]"/><x:apply-templates select="m:domainofapplication/*"/></mfenced></mrow><mfenced><x:apply-templates select="m:domainofapplication/following-sibling::*"/></mfenced></mrow></x:template><x:template match="m:piecewise"><mrow><mo>{</mo><mtable><x:for-each select="m:piece|m:otherwise"><mtr><mtd><x:apply-templates select="*[1]"/></mtd><x:choose><x:when test="self::m:piece"><mtd columnalign="left"><mtext>&#160; if &#160;</mtext></mtd><mtd><x:apply-templates select="*[2]"/></mtd></x:when><x:otherwise><mtd columnspan="2" columnalign="left"><mtext>&#160; otherwise</mtext></mtd></x:otherwise></x:choose></mtr></x:for-each></mtable></mrow></x:template><x:template match="m:apply[*[1][self::m:quotient]] |m:apply[*[1][self::m:csymbol=\'quotient\']]"><mrow><mo>&#8970;<!-- lfloor--></mo><x:apply-templates select="*[2]"/><mo>/</mo><x:apply-templates select="*[3]"/><mo>&#8971;<!-- rfloor--></mo></mrow></x:template><x:template match="m:apply[*[1][self::m:factorial]] |m:apply[*[1][self::m:csymbol=\'factorial\']]"><mrow><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates><mo>!</mo></mrow></x:template><x:template match="m:apply[*[1][self::m:divide]] |m:apply[*[1][self::m:csymbol=\'divide\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>/</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:max]] |m:apply[*[1][self::m:csymbol=\'max\']]"><mrow><mi>max</mi><x:call-template name="set"/></mrow></x:template><x:template match="m:apply[*[1][self::m:min]]|m:reln[*[1][self::m:min]]"><mrow><mi>min</mi><x:call-template name="set"/></mrow></x:template><x:template match="m:apply[*[1][self::m:minus] and count(*)=2] |m:apply[*[1][self::m:csymbol=\'unary_minus\']]"><mrow><mo>&#8722;<!--minus--></mo><x:apply-templates select="*[2]"><x:with-param name="p" select="5"/></x:apply-templates></mrow></x:template><x:template match="m:apply[*[1][self::m:minus] and count(*)&gt;2] |m:apply[*[1][self::m:csymbol=\'minus\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8722;<!--minus--></mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="2"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:plus]] |m:apply[*[1][self::m:csymbol=\'plus\']]"><x:param name="p" select="0"/><mrow><x:if test="$p &gt; 2"><mo>(</mo></x:if><x:for-each select="*[position()&gt;1]"><x:choose><x:when test="self::m:apply[*[1][self::m:times] and *[2][self::m:apply/*[1][self::m:minus] or self::m:cn[not(m:sep) and (number(.) &lt; 0)]]] or self::m:apply[count(*)=2 and *[1][self::m:minus]] or self::m:cn[not(m:sep) and (number(.) &lt; 0)]"><mo>&#8722;<!--minus--></mo></x:when><x:when test="position()!=1"><mo>+</mo></x:when></x:choose><x:choose><x:when test="self::m:cn[not(m:sep) and (number(.) &lt; 0)]"><mn><x:value-of select="-(.)"/></mn></x:when><x:when test=" self::m:apply[count(*)=2 and *[1][self::m:minus]]"><x:apply-templates select="*[2]"><x:with-param name="first" select="2"/><x:with-param name="p" select="2"/></x:apply-templates></x:when><x:when test="self::m:apply[*[1][self::m:times] and *[2][self::m:cn[not(m:sep) and (number(.) &lt;0)]]]"><mrow><mn><x:value-of select="-(*[2])"/></mn><mo>&#8290;<!--invisible times--></mo><x:apply-templates select="."><x:with-param name="first" select="2"/><x:with-param name="p" select="2"/></x:apply-templates></mrow></x:when><x:when test="self::m:apply[*[1][self::m:times] and *[2][self::m:apply/*[1][self::m:minus]]]"><mrow><x:apply-templates select="./*[2]/*[2]"/><x:apply-templates select="."><x:with-param name="first" select="2"/><x:with-param name="p" select="2"/></x:apply-templates></mrow></x:when><x:otherwise><x:apply-templates select="."><x:with-param name="p" select="2"/></x:apply-templates></x:otherwise></x:choose></x:for-each><x:if test="$p &gt; 2"><mo>)</mo></x:if></mrow></x:template><x:template match="m:apply[*[1][self::m:power]] |m:apply[*[1][self::m:csymbol=\'power\']]"><x:param name="p" select="0"/><x:choose><x:when test="$p&gt;=5"><mrow><mo>(</mo><msup><x:apply-templates select="*[2]"><x:with-param name="p" select="5"/></x:apply-templates><x:apply-templates select="*[3]"><x:with-param name="p" select="5"/></x:apply-templates></msup><mo>)</mo></mrow></x:when><x:otherwise><msup><x:apply-templates select="*[2]"><x:with-param name="p" select="5"/></x:apply-templates><x:apply-templates select="*[3]"><x:with-param name="p" select="5"/></x:apply-templates></msup></x:otherwise></x:choose></x:template><x:template match="m:apply[*[1][self::m:rem]] |m:apply[*[1][self::m:csymbol=\'rem\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>mod</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:times]] |m:apply[*[1][self::m:csymbol=\'times\']]" name="times"><x:param name="p" select="0"/><x:param name="first" select="1"/><mrow><x:if test="$p &gt; 3"><mo>(</mo></x:if><x:for-each select="*[position()&gt;1]"><x:if test="position() &gt; 1"><mo><x:choose><x:when test="self::m:cn">&#215;<!-- times --></x:when><x:otherwise>&#8290;<!--invisible times--></x:otherwise></x:choose></mo></x:if><x:if test="position()&gt;= $first"><x:apply-templates select="."><x:with-param name="p" select="3"/></x:apply-templates></x:if></x:for-each><x:if test="$p &gt; 3"><mo>)</mo></x:if></mrow></x:template><x:template match="m:apply[*[1][self::m:root] and not(m:degree) or m:degree=2]" priority="4"><msqrt><x:apply-templates select="*[position()&gt;1]"/></msqrt></x:template><x:template match="m:apply[*[1][self::m:root]]"><mroot><x:apply-templates select="*[position()&gt;1 and not(self::m:degree)]"/><mrow><x:apply-templates select="m:degree/*"/></mrow></mroot></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'root\']]"><mroot><x:apply-templates select="*[position()!=1]"/></mroot></x:template><x:template match="m:gcd"><mi>gcd</mi></x:template><x:template match="m:apply[*[1][self::m:and]] |m:reln[*[1][self::m:and]] |m:apply[*[1][self::m:csymbol=\'and\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8743;<!-- and --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:or]] |m:apply[*[1][self::m:csymbol=\'or\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="3"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8744;<!-- or --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:xor]] |m:apply[*[1][self::m:csymbol=\'xor\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="3"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>xor</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:not]] |m:apply[*[1][self::m:csymbol=\'not\']]"><mrow><mo>&#172;<!-- not --></mo><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates></mrow></x:template><x:template match="m:apply[*[1][self::m:implies]] |m:reln[*[1][self::m:implies]] |m:apply[*[1][self::m:csymbol=\'implies\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8658;<!-- Rightarrow --></mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:forall]] |m:apply[*[1][self::m:csymbol=\'forall\']] |m:bind[*[1][self::m:forall]] |m:bind[*[1][self::m:csymbol=\'forall\']]"><mrow><mo>&#8704;<!--forall--></mo><mrow><x:apply-templates select="m:bvar[not(current()/m:condition)]/*|m:condition/*"/></mrow><mo>.</mo><mfenced><x:apply-templates select="*[last()]"/></mfenced></mrow></x:template><x:template match="m:apply[*[1][self::m:exists]] |m:apply[*[1][self::m:csymbol=\'exists\']] |m:bind[*[1][self::m:exists]] |m:bind[*[1][self::m:csymbol=\'exists\']]"><mrow><mo>&#8707;<!--exists--></mo><mrow><x:apply-templates select="m:bvar[not(current()/m:condition)]/*|m:condition/*"/></mrow><mo>.</mo><mfenced separators=""><x:choose><x:when test="m:condition"><x:apply-templates select="m:condition/*"/><mo>&#8743;<!-- and --></mo></x:when><x:when test="m:domainofapplication"><mrow><mrow><x:for-each select="m:bvar"><x:apply-templates/><x:if test="position()!=last()"><mo>,</mo></x:if></x:for-each></mrow><mo>&#8712;<!-- in --></mo><x:apply-templates select="m:domainofapplication/*"/></mrow><mo>&#8743;<!-- and --></mo></x:when></x:choose><x:apply-templates select="*[last()]"/></mfenced></mrow></x:template><x:template match="m:apply[*[1][self::m:abs]] |m:apply[*[1][self::m:csymbol=\'abs\']]"><mrow><mo>|</mo><x:apply-templates select="*[2]"/><mo>|</mo></mrow></x:template><x:template match="m:apply[*[1][self::m:conjugate]] |m:apply[*[1][self::m:csymbol=\'conjugate\']]"><mover><x:apply-templates select="*[2]"/><mo>&#175;<!-- overline --></mo></mover></x:template><x:template match="m:arg"><mi>arg</mi></x:template><x:template match="m:real|m:csymbol[.=\'real\']"><mo>&#8475;<!-- real --></mo></x:template><x:template match="m:imaginary|m:csymbol[.=\'imaginary\']"><mo>&#8465;<!-- imaginary --></mo></x:template><x:template match="m:lcm"><mi>lcm</mi></x:template><x:template match="m:apply[*[1][self::m:floor]] |m:apply[*[1][self::m:csymbol=\'floor\']]"><mrow><mo>&#8970;<!-- lfloor--></mo><x:apply-templates select="*[2]"/><mo>&#8971;<!-- rfloor--></mo></mrow></x:template><x:template match="m:apply[*[1][self::m:ceiling]] |m:apply[*[1][self::m:csymbol=\'ceiling\']]"><mrow><mo>&#8968;<!-- lceil--></mo><x:apply-templates select="*[2]"/><mo>&#8969;<!-- rceil--></mo></mrow></x:template><x:template match="m:apply[*[1][self::m:eq]] |m:reln[*[1][self::m:eq]] |m:apply[*[1][self::m:csymbol=\'eq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>=</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:neq]] |m:apply[*[1][self::m:csymbol=\'neq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8800;<!-- neq --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:gt]] |m:reln[*[1][self::m:gt]] |m:apply[*[1][self::m:csymbol=\'gt\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&gt;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:lt]] |m:reln[*[1][self::m:lt]] |m:apply[*[1][self::m:csymbol=\'lt\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&lt;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:geq]] |m:apply[*[1][self::m:csymbol=\'geq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8805;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:leq]] |m:apply[*[1][self::m:csymbol=\'leq\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8804;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:equivalent]] |m:apply[*[1][self::m:csymbol=\'equivalent\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8801;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:approx]] |m:apply[*[1][self::m:csymbol=\'approx\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="1"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8771;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:factorof]] |m:apply[*[1][self::m:csymbol=\'factorof\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>|</mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:int]] |m:apply[*[1][self::m:csymbol=\'int\']] |m:bind[*[1][self::m:int]] |m:bind[*[1][self::m:csymbol=\'int\']]"><mrow><msubsup><mi>&#8747;<!--int--></mi><mrow><x:apply-templates select="m:lowlimit/*|m:interval/*[1]|m:condition/*|m:domainofapplication/*"/></mrow><mrow><x:apply-templates select="m:uplimit/*|m:interval/*[2]"/></mrow></msubsup><x:apply-templates select="*[last()]"/><x:if test="m:bvar"><mi>d</mi><x:apply-templates select="m:bvar"/></x:if></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'defint\']]"><mrow><munder><mi>&#8747;<!--int--></mi><x:apply-templates select="*[2]"/></munder><x:apply-templates select="*[last()]"/></mrow></x:template><x:template match="m:apply[*[1][self::m:diff] and not(m:bvar)]| m:apply[*[1][self::m:csymbol=\'diff\']]" priority="2"><msup><mrow><x:apply-templates select="*[2]"/></mrow><mo>&#8242;<!--prime--></mo></msup></x:template><x:template match="m:apply[*[1][self::m:diff]]" priority="1"><mfrac><x:choose><x:when test="m:bvar/m:degree"><mrow><msup><mi>d</mi><x:apply-templates select="m:bvar/m:degree/node()"/></msup><x:apply-templates select="*[last()]"/></mrow><mrow><mi>d</mi><msup><x:apply-templates select="m:bvar/node()"/><x:apply-templates select="m:bvar/m:degree/node()"/></msup></mrow></x:when><x:otherwise><mrow><mi>d</mi><x:apply-templates select="*[last()]"/></mrow><mrow><mi>d</mi><x:apply-templates select="m:bvar"/></mrow></x:otherwise></x:choose></mfrac></x:template><x:template match="m:apply[*[1][self::m:partialdiff] and m:list and not(m:bvar) and count(*)=3]" priority="2"><mrow><msub><mi>D</mi><mrow><x:for-each select="m:list[1]/*"><x:apply-templates select="."/><x:if test="position()&lt;last()"><mo>,</mo></x:if></x:for-each></mrow></msub><mrow><x:apply-templates select="*[3]"/></mrow></mrow></x:template><x:template match="m:apply[*[1][self::m:partialdiff] and m:list and m:lambda]" priority="3"><mfrac><mrow><x:choose><x:when test="count(m:list/*)=1"><mo>&#8706;<!-- partial --></mo></x:when><x:otherwise><msup><mo>&#8706;<!-- partial --></mo><mrow><x:choose><x:when test="m:degree"><x:apply-templates select="m:degree/node()"/></x:when><x:otherwise><mn><x:value-of select="count(m:list/*)"/></mn></x:otherwise></x:choose></mrow></msup></x:otherwise></x:choose><x:apply-templates select="m:lambda/*[last()]"/></mrow><mrow><x:call-template name="pddx"/></mrow></mfrac></x:template><x:template name="pddx"><x:param name="n" select="1"/><x:param name="b" select="m:lambda/m:bvar"/><x:param name="l" select="m:list/*"/><x:choose><x:when test="number($l[1])=number($l[2])"><x:call-template name="pddx"><x:with-param name="n" select="$n+1"/><x:with-param name="b" select="$b"/><x:with-param name="l" select="$l[position()!=1]"/></x:call-template></x:when><x:otherwise><mrow><mo>&#8706;<!-- partial --></mo><x:choose><x:when test="$n=1"><x:apply-templates select="$b[position()=$l[1]]/*"/></x:when><x:otherwise><msup><x:apply-templates select="$b[position()=$l[1]]/*"/><mn><x:value-of select="$n"/></mn></msup></x:otherwise></x:choose></mrow><x:if test="$l[2]"><x:call-template name="pddx"><x:with-param name="b" select="$b"/><x:with-param name="l" select="$l[position()!=1]"/></x:call-template></x:if></x:otherwise></x:choose></x:template><x:template match="m:apply[*[1][self::m:partialdiff]]" priority="1"><mfrac><mrow><x:choose><x:when test="not(m:bvar/m:degree) and not(m:bvar[2])"><mo>&#8706;<!-- partial --></mo></x:when><x:otherwise><msup><mo>&#8706;<!-- partial --></mo><mrow><x:choose><x:when test="m:degree"><x:apply-templates select="m:degree/node()"/></x:when><x:when test="m:bvar/m:degree[string(number(.))=\'NaN\']"><x:for-each select="m:bvar/m:degree"><x:apply-templates select="node()"/><x:if test="position()&lt;last()"><mo>+</mo></x:if></x:for-each><x:if test="count(m:bvar[not(m:degree)])&gt;0"><mo>+</mo><mn><x:value-of select="count(m:bvar[not(m:degree)])"/></mn></x:if></x:when><x:otherwise><mn><x:value-of select="number(sum(m:bvar/m:degree))+count(m:bvar[not(m:degree)])"/></mn></x:otherwise></x:choose></mrow></msup></x:otherwise></x:choose><x:apply-templates select="*[last()]"/></mrow><mrow><x:for-each select="m:bvar"><mrow><mo>&#8706;<!-- partial --></mo><msup><x:apply-templates select="node()"/><mrow><x:apply-templates select="m:degree/node()"/></mrow></msup></mrow></x:for-each></mrow></mfrac></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'partialdiffdegree\']]"><mrow><msub><mo>&#8706;<!-- partial --></mo><mrow><x:apply-templates select="*[2]"/></mrow></msub><mfenced><x:apply-templates select="*[4]"/></mfenced></mrow></x:template><x:template match="m:lowlimit"/><x:template match="m:uplimit"/><x:template match="m:bvar"><mi><x:apply-templates/></mi><x:if test="following-sibling::m:bvar"><mo>,</mo></x:if></x:template><x:template match="m:degree"/><x:template match="m:divergence"><mi>div</mi></x:template><x:template match="m:apply[*[1][self::m:divergence]and m:bvar and m:vector]"><x:variable name="v" select="m:bvar"/><mrow><mi>div</mi><mo>&#8289;<!--function application--></mo><mo>(</mo><mtable><x:for-each select="m:vector/*"><x:variable name="p" select="position()"/><mtr><mtd><x:apply-templates select="$v[$p]/*"/><mo>&#x21a6;<!-- map--></mo><x:apply-templates select="."/></mtd></mtr></x:for-each></mtable><mo>)</mo></mrow></x:template><x:template match="m:grad"><mi>grad</mi></x:template><x:template match="m:apply[*[1][self::m:grad]and m:bvar]"><mrow><mi>grad</mi><mo>&#8289;<!--function application--></mo><mrow><mo>(</mo><mfenced><x:apply-templates select="m:bvar/*"/></mfenced><mo>&#x21a6;<!-- map--></mo><x:apply-templates select="*[position()!=1][not(self::m:bvar)]"/><mo>)</mo></mrow></mrow></x:template><x:template match="m:curl"><mi>curl</mi></x:template><x:template match="m:laplacian"><msup><mo>&#8711;<!-- nabla --></mo><mn>2</mn></msup></x:template><x:template match="m:apply[*[1][self::m:laplacian]and m:bvar]"><mrow><x:apply-templates select="*[1]"/><mo>&#8289;<!--function application--></mo><mrow><mo>(</mo><mfenced><x:apply-templates select="m:bvar/*"/></mfenced><mo>&#x21a6;<!-- map--></mo><x:apply-templates select="*[position()!=1][not(self::m:bvar)]"/><mo>)</mo></mrow></mrow></x:template><x:template match="m:set"><x:call-template name="set"/></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'set\']]"><mfenced open="{{" close="}}" separators=","><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:list"><x:call-template name="set"><x:with-param name="o" select="\'(\'"/><x:with-param name="c" select="\')\'"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'list\']]"><mfenced open="(" close=")" separators=","><x:apply-templates select="*[position()!=1]"/></mfenced></x:template><x:template match="m:apply[*[1][self::m:union]] |m:apply[*[1][self::m:csymbol=\'union\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8746;<!-- union --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:union]][m:bvar] |m:apply[*[1][self::m:csymbol=\'union\']][m:bvar]" priority="2" ><x:call-template name="sum"><x:with-param name="mo"><mo>&#x22C3;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:intersect]] |m:apply[*[1][self::m:csymbol=\'intersect\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="3"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8745;<!-- intersect --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:intersect]][m:bvar] |m:apply[*[1][self::m:csymbol=\'intersect\']][m:bvar]" priority="2" ><x:call-template name="sum"><x:with-param name="mo"><mo>&#x22C2;</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:in]] |m:apply[*[1][self::m:csymbol=\'in\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8712;<!-- in --></mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:notin]]|m:reln[*[1][self::m:notin]] |m:apply[*[1][self::m:csymbol=\'notin\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="mo"><mo>&#8713;<!-- not in --></mo></x:with-param><x:with-param name="p" select="$p"/><x:with-param name="this-p" select="3"/></x:call-template></x:template><x:template match="m:apply[*[1][self::m:subset]] |m:apply[*[1][self::m:csymbol=\'subset\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8838;<!-- subseteq --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:prsubset]] |m:apply[*[1][self::m:csymbol=\'prsubset\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8834;<!-- prsubset --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:notsubset]] |m:apply[*[1][self::m:csymbol=\'notsubset\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8840;<!-- notsubseteq --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:notprsubset]] |m:apply[*[1][self::m:csymbol=\'notprsubset\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8836;<!-- prsubset --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:setdiff]] |m:apply[*[1][self::m:csymbol=\'setdiff\']]"><x:param name="p" select="0"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#8726;<!-- setminus --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:card]] |m:apply[*[1][self::m:csymbol=\'card\']]"><mrow><mo>|</mo><x:apply-templates select="*[2]"/><mo>|</mo></mrow></x:template><x:template match="m:apply[*[1][self::m:cartesianproduct or self::m:vectorproduct]] |m:apply[*[1][self::m:csymbol[.=\'cartesian_product\' or . = \'vectorproduct\']]]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#215;<!-- times --></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:cartesianproduct][count(following-sibling::m:reals)=count(following-sibling::*)]]" priority="2"><msup><x:apply-templates select="*[2]"><x:with-param name="p" select="5"/></x:apply-templates><mn><x:value-of select="count(*)-1"/></mn></msup></x:template><x:template name="sum" match="m:apply[*[1][self::m:sum]]"><x:param name="mo"><mo>&#8721;<!--sum--></mo></x:param><mrow><munderover><x:copy-of select="$mo"/><mrow><x:apply-templates select="m:lowlimit|m:interval/*[1]|m:condition/*|m:domainofapplication/*"/></mrow><mrow><x:apply-templates select="m:uplimit/*|m:interval/*[2]"/></mrow></munderover><x:apply-templates select="*[last()]"/></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'sum\']]"><mrow><munder><mo>&#8721;<!--sum--></mo><x:apply-templates select="*[2]"/></munder><x:apply-templates select="*[last()]"/></mrow></x:template><x:template match="m:apply/m:lowlimit" priority="3"><mrow><x:if test="../m:bvar"><x:apply-templates select="../m:bvar/node()"/><mo>=</mo></x:if><x:apply-templates/></mrow></x:template><x:template match="m:apply[*[1][self::m:product]]"><x:call-template name="sum"><x:with-param name="mo"><mo>&#8719;<!--product--></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'product\']]"><mrow><munder><mo>&#8719;<!--product--></mo><x:apply-templates select="*[2]"/></munder><x:apply-templates select="*[last()]"/></mrow></x:template><x:template match="m:apply[*[1][self::m:limit]]"><mrow><munder><mi>lim</mi><mrow><x:apply-templates select="m:lowlimit|m:condition/*"/></mrow></munder><x:apply-templates select="*[last()]"/></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'limit\']][m:bind]"><mrow><munder><mi>lim</mi><mrow><x:apply-templates select="m:bind/m:bvar/*"/><mo><x:choose><x:when test="*[3]=\'above\'">&#8600;<!--searrow--></x:when><x:when test="*[3]=\'below\'">&#8599;<!--nearrow--></x:when><x:otherwise>&#8594;<!--rightarrow--></x:otherwise></x:choose></mo><x:apply-templates select="*[2]"/></mrow></munder><x:apply-templates select="m:bind/*[last()]"/></mrow></x:template><x:template match="m:apply[m:limit]/m:lowlimit" priority="4"><mrow><x:apply-templates select="../m:bvar/node()"/><mo>&#8594;<!--rightarrow--></mo><x:apply-templates/></mrow></x:template><x:template match="m:apply[*[1][self::m:tendsto]]|m:reln[*[1][self::m:tendsto]]"><x:param name="p"/><x:call-template name="binary"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo><x:choose><x:when test="@type=\'above\'">&#8600;<!--searrow--></x:when><x:when test="@type=\'below\'">&#8599;<!--nearrow--></x:when><x:when test="@type=\'two-sided\'">&#8594;<!--rightarrow--></x:when><x:otherwise>&#8594;<!--rightarrow--></x:otherwise></x:choose></mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'tendsto\']]"><mrow><x:apply-templates select="*[3]"/><mo><x:choose><x:when test="*[1][self::above]">&#8600;<!--searrow--></x:when><x:when test="*[1][self::below]">&#8599;<!--nearrow--></x:when><x:when test="*[1][self::two-sided]">&#8594;<!--rightarrow--></x:when><x:otherwise>&#8594;<!--rightarrow--></x:otherwise></x:choose></mo><x:apply-templates select="*[4]"/></mrow></x:template><x:template match="m:apply[*[1][self::m:semantics/m:ci=\'tendsto\']]"><mrow><x:apply-templates select="*[2]"/><mo>&#8594;<!--rightarrow--></mo><x:apply-templates select="*[3]"/></mrow></x:template><x:template match="m:tendsto"><mi>tendsto</mi></x:template><x:template match="m:apply[*[1][ self::m:sin or self::m:cos or self::m:tan or self::m:sec or self::m:csc or self::m:cot or self::m:sinh or self::m:cosh or self::m:tanh or self::m:sech or self::m:csch or self::m:coth or self::m:arcsin or self::m:arccos or self::m:arctan or self::m:arccosh or self::m:arccot or self::m:arccoth or self::m:arccsc or self::m:arccsch or self::m:arcsec or self::m:arcsech or self::m:arcsinh or self::m:arctanh or self::m:ln]]"><mrow><mi><x:value-of select="local-name(*[1])"/></mi><mo>&#8289;<!--function application--></mo><x:if test="m:apply"><mo>(</mo></x:if><x:apply-templates select="*[2]"/><x:if test="m:apply"><mo>)</mo></x:if></mrow></x:template><x:template match=" m:sin | m:cos | m:tan | m:sec | m:csc | m:cot | m:sinh | m:cosh | m:tanh | m:sech | m:csch | m:coth | m:arcsin | m:arccos | m:arctan | m:arccosh | m:arccot | m:arccoth | m:arccsc | m:arccsch | m:arcsec | m:arcsech | m:arcsinh | m:arctanh | m:ln|m:mean| m:plus|m:minus"><mi><x:value-of select="local-name()"/></mi></x:template><x:template match="m:apply[*[1][self::m:exp]] |m:apply[*[1][self::m:csymbol=\'exp\']]"><msup><mi>e<!-- exponential e--></mi><mrow><x:apply-templates select="*[2]"/></mrow></msup></x:template><x:template match="m:apply[*[1][self::m:log]] |m:apply[*[1][self::m:csymbol=\'log\']]"><mrow><x:choose><x:when test="not(m:logbase) or m:logbase=10"><mi>log</mi></x:when><x:otherwise><msub><mi>log</mi><mrow><x:apply-templates select="m:logbase/node()"/></mrow></msub></x:otherwise></x:choose><mo>&#8289;<!--function application--></mo><x:apply-templates select="*[last()]"><x:with-param name="p" select="7"/></x:apply-templates></mrow></x:template><x:template match="m:apply[*[1][self::m:mean]] |m:apply[*[1][self::m:csymbol=\'mean\']]"><mrow><mo>&#9001;<!--langle--></mo><x:for-each select="*[position()&gt;1]"><x:apply-templates select="."/><x:if test="position() !=last()"><mo>,</mo></x:if></x:for-each><mo>&#9002;<!--rangle--></mo></mrow></x:template><x:template match="m:sdev|m:csymbol[.=\'sdev\']"><mo>&#963;<!--sigma--></mo></x:template><x:template match="m:apply[*[1][self::m:variance]] |m:apply[*[1][self::m:csymbol=\'variance\']]"><msup><mrow><mo>&#963;<!--sigma--></mo><mo>&#8289;<!--function application--></mo><mfenced><x:apply-templates select="*[position()!=1]"/></mfenced></mrow><mn>2</mn></msup></x:template><x:template match="m:median"><mi>median</mi></x:template><x:template match="m:mode"><mi>mode</mi></x:template><x:template match="m:apply[*[1][self::m:moment]]"><mrow><mo>&#9001;<!--langle--></mo><msup><x:variable name="data" select="*[not(position()=1)] [not(self::m:degree or self::m:momentabout)]"/><x:choose><x:when test="$data[2]"><mfenced><x:apply-templates select="$data"/></mfenced></x:when><x:otherwise><x:apply-templates select="$data"/></x:otherwise></x:choose><mrow><x:apply-templates select="m:degree/node()"/></mrow></msup><mo>&#9002;<!--rangle--></mo></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'moment\']]"><msub><mrow><mo>&#9001;<!--langle--></mo><msup><x:apply-templates select="*[4]"/><x:apply-templates select="*[2]"/></msup><mo>&#9002;<!--rangle--></mo></mrow><x:apply-templates select="*[3]"/></msub></x:template><x:template match="m:momentabout"/><x:template match="m:apply[*[1][self::m:moment]][m:momentabout]" priority="2"><msub><mrow><mo>&#9001;<!--langle--></mo><msup><x:variable name="data" select="*[not(position()=1)] [not(self::m:degree or self::m:momentabout)]"/><x:choose><x:when test="$data[2]"><mfenced><x:apply-templates select="$data"/></mfenced></x:when><x:otherwise><x:apply-templates select="$data"/></x:otherwise></x:choose><mrow><x:apply-templates select="m:degree/node()"/></mrow></msup><mo>&#9002;<!--rangle--></mo></mrow><mrow><x:apply-templates select="m:momentabout/*"/></mrow></msub></x:template><x:template match="m:vector"><mrow><mo>(</mo><mtable><x:for-each select="*"><mtr><mtd><x:apply-templates select="."/></mtd></mtr></x:for-each></mtable><mo>)</mo></mrow></x:template><x:template match="m:vector[m:condition]"><mrow><mo>[</mo><x:apply-templates select="*[last()]"/><mo>|</mo><x:apply-templates select="m:condition"/><mo>]</mo></mrow></x:template><x:template match="m:vector[m:domainofapplication]"><mrow><mo>[</mo><x:apply-templates select="*[last()]"/><mo>|</mo><x:apply-templates select="m:bvar/*"/><mo>&#x2208;</mo><x:apply-templates select="m:domainofapplication/*"/><mo>]</mo></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'vector\']]"><mrow><mo>(</mo><mtable><x:for-each select="*[position()!=1]"><mtr><mtd><x:apply-templates select="."/></mtd></mtr></x:for-each></mtable><mo>)</mo></mrow></x:template><x:template match="m:matrix"><mrow><mo>(</mo><mtable><x:apply-templates/></mtable><mo>)</mo></mrow></x:template><x:template match="m:matrix[m:condition]"><mrow><mo>[</mo><msub><mi>m</mi><mrow><x:for-each select="m:bvar"><x:apply-templates/><x:if test="position()!=last()"><mo>,</mo></x:if></x:for-each></mrow></msub><mo>|</mo><mrow><msub><mi>m</mi><mrow><x:for-each select="m:bvar"><x:apply-templates/><x:if test="position()!=last()"><mo>,</mo></x:if></x:for-each></mrow></msub><mo>=</mo><x:apply-templates select="*[last()]"/></mrow><mo>;</mo><x:apply-templates select="m:condition"/><mo>]</mo></mrow></x:template><x:template match="m:apply[*[1][self::m:csymbol=\'matrix\']]"><mrow><mo>(</mo><mtable><x:apply-templates select="*[position()!=1]"/></mtable><mo>)</mo></mrow></x:template><x:template match="m:matrix/m:matrixrow"><mtr><x:for-each select="*"><mtd><x:apply-templates select="."/></mtd></x:for-each></mtr></x:template><x:template match="m:matrixrow"><mtable><mtr><x:for-each select="*"><mtd><x:apply-templates select="."/></mtd></x:for-each></mtr></mtable></x:template><x:template match="m:apply[*[1][self::m:csymbol.=\'matrixrow\']]"><mtr><x:for-each select="*[position()!=1]"><mtd><x:apply-templates select="."/></mtd></x:for-each></mtr></x:template><x:template match="m:apply[*[1][self::m:determinant]] |m:apply[*[1][self::m:csymbol=\'determinant\']]"><mrow><mi>det</mi><mo>&#8289;<!--function application--></mo><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates></mrow></x:template><x:template match="m:apply[*[1][self::m:determinant]][*[2][self::m:matrix]]" priority="2"><mrow><mo>|</mo><mtable><x:apply-templates select="m:matrix/*"/></mtable><mo>|</mo></mrow></x:template><x:template match="m:apply[*[1][self::m:transpose]] |m:apply[*[1][self::m:csymbol=\'transpose\']]"><msup><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates><mi>T</mi></msup></x:template><x:template match="m:apply[*[1][self::m:selector]] |m:apply[*[1][self::m:csymbol=\'selector\']]"><msub><x:apply-templates select="*[2]"><x:with-param name="p" select="7"/></x:apply-templates><mrow><x:for-each select="*[position()&gt;2]"><x:apply-templates select="."/><x:if test="position() !=last()"><mo>,</mo></x:if></x:for-each></mrow></msub></x:template><x:template match="m:apply[*[1][self::m:scalarproduct]] |m:apply[*[1][self::m:csymbol=\'scalarproduct\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>.</mo></x:with-param></x:call-template></x:template><x:template match="m:apply[*[1][self::m:outerproduct]] |m:apply[*[1][self::m:csymbol=\'outerproduct\']]"><x:param name="p" select="0"/><x:call-template name="infix"><x:with-param name="this-p" select="2"/><x:with-param name="p" select="$p"/><x:with-param name="mo"><mo>&#x2297;</mo></x:with-param></x:call-template></x:template><x:template match="m:semantics"><x:apply-templates select="*[1]"/></x:template><x:template match="m:semantics[m:annotation-xml/@encoding=\'MathML-Presentation\']"><x:apply-templates select="m:annotation-xml[@encoding=\'MathML-Presentation\']/node()"/></x:template><x:template match="m:integers"><mi mathvariant="double-struck">Z</mi></x:template><x:template match="m:reals"><mi mathvariant="double-struck">R</mi></x:template><x:template match="m:rationals"><mi mathvariant="double-struck">Q</mi></x:template><x:template match="m:naturalnumbers"><mi mathvariant="double-struck">N</mi></x:template><x:template match="m:complexes"><mi mathvariant="double-struck">C</mi></x:template><x:template match="m:primes"><mi mathvariant="double-struck">P</mi></x:template><x:template match="m:exponentiale"><mi>e<!-- exponential e--></mi></x:template><x:template match="m:imaginaryi"><mi>i<!-- imaginary i--></mi></x:template><x:template match="m:notanumber"><mi>NaN</mi></x:template><x:template match="m:true"><mi>true</mi></x:template><x:template match="m:false"><mi>false</mi></x:template><x:template match="m:emptyset|m:csymbol[.=\'emptyset\']"><mi>&#8709;<!-- emptyset --></mi></x:template><x:template match="m:pi|m:csymbol[.=\'pi\']"><mi>&#960;<!-- pi --></mi></x:template><x:template match="m:eulergamma|m:csymbol[.=\'gamma\']"><mi>&#947;<!-- gamma --></mi></x:template><x:template match="m:infinity|m:csymbol[.=\'infinity\']"><mi>&#8734;<!-- infinity --></mi></x:template><x:template name="infix" ><x:param name="mo"/><x:param name="p" select="0"/><x:param name="this-p" select="0"/><x:variable name="dmo"><x:choose><x:when test="m:domainofapplication"><munder><x:copy-of select="$mo"/><mrow><x:apply-templates select="m:domainofapplication/*"/></mrow></munder></x:when><x:otherwise><x:copy-of select="$mo"/></x:otherwise></x:choose></x:variable><mrow><x:if test="$this-p &lt; $p"><mo>(</mo></x:if><x:for-each select="*[not(self::m:domainofapplication)][position()&gt;1]"><x:if test="position() &gt; 1"><x:copy-of select="$dmo"/></x:if><x:apply-templates select="."><x:with-param name="p" select="$this-p"/></x:apply-templates></x:for-each><x:if test="$this-p &lt; $p"><mo>)</mo></x:if></mrow></x:template><x:template name="binary" ><x:param name="mo"/><x:param name="p" select="0"/><x:param name="this-p" select="0"/><mrow><x:if test="($this-p &lt; $p) or ($this-p=$p and $mo=\'&#8722;\')"><mo>(</mo></x:if><x:apply-templates select="*[2]"><x:with-param name="p" select="$this-p"/></x:apply-templates><x:copy-of select="$mo"/><x:apply-templates select="*[3]"><x:with-param name="p" select="$this-p"/></x:apply-templates><x:if test="($this-p &lt; $p) or ($this-p=$p and $mo=\'&#8722;\')"><mo>)</mo></x:if></mrow></x:template><x:template name="set" ><x:param name="o" select="\'{\'"/><x:param name="c" select="\'}\'"/><mrow><mo><x:value-of select="$o"/></mo><x:choose><x:when test="m:condition"><mrow><x:apply-templates select="m:condition/following-sibling::*"/></mrow><mo>|</mo><mrow><x:apply-templates select="m:condition/node()"/></mrow></x:when><x:when test="m:domainofapplication"><mrow><x:apply-templates select="m:domainofapplication/following-sibling::*"/></mrow><mo>|</mo><mrow><x:apply-templates select="m:bvar/node()"/></mrow><mo>&#8712;<!-- in --></mo><mrow><x:apply-templates select="m:domainofapplication/node()"/></mrow></x:when><x:otherwise><x:for-each select="*[not(position()=1 and parent::m:apply)]"><x:apply-templates select="."/><x:if test="position() !=last()"><mo>,</mo></x:if></x:for-each></x:otherwise></x:choose><mo><x:value-of select="$c"/></mo></mrow></x:template><x:template match="m:cs"><ms><x:value-of select=" translate(., \'&#9;&#10;&#13;&#32;\', \'&#160;&#160;&#160;&#160;\')"/></ms></x:template><x:template match="m:cbytes"><mrow/></x:template><x:template match="m:cerror"><merror><x:apply-templates/></merror></x:template><x:template match="m:share" priority="4"><mi href="{@href}">share<x:value-of select="substring-after(@href,\'#\')"/></mi></x:template><x:output indent="yes" omit-xml-declaration="yes"/><x:template match="*"><x:copy><x:copy-of select="@*"/><x:apply-templates/></x:copy></x:template><x:template match="*[@dir=\'rtl\']" priority="10"><x:apply-templates mode="rtl" select="."/></x:template><x:template match="@*" mode="rtl"><x:copy-of select="."/></x:template><x:template match="*" mode="rtl"><x:copy><x:apply-templates select="@*" mode="rtl"/><x:for-each select="node()"><x:sort data-type="number" order="descending" select="position()"/><x:text></x:text><x:apply-templates mode="rtl" select="."/></x:for-each></x:copy></x:template><x:template match="@open" mode="rtl"><x:attribute name="close"><x:value-of select="."/></x:attribute></x:template><x:template match="@open[.=\'(\']" mode="rtl"><x:attribute name="close">)</x:attribute></x:template><x:template match="@open[.=\')\']" mode="rtl"><x:attribute name="close">(</x:attribute></x:template><x:template match="@open[.=\'[\']" mode="rtl"><x:attribute name="close">]</x:attribute></x:template><x:template match="@open[.=\']\']" mode="rtl"><x:attribute name="close">[</x:attribute></x:template><x:template match="@open[.=\'{\']" mode="rtl"><x:attribute name="close">}</x:attribute></x:template><x:template match="@open[.=\'}\']" mode="rtl"><x:attribute name="close">{</x:attribute></x:template><x:template match="@close" mode="rtl"><x:attribute name="open"><x:value-of select="."/></x:attribute></x:template><x:template match="@close[.=\'(\']" mode="rtl"><x:attribute name="open">)</x:attribute></x:template><x:template match="@close[.=\')\']" mode="rtl"><x:attribute name="open">(</x:attribute></x:template><x:template match="@close[.=\'[\']" mode="rtl"><x:attribute name="open">]</x:attribute></x:template><x:template match="@close[.=\']\']" mode="rtl"><x:attribute name="open">[</x:attribute></x:template><x:template match="@close[.=\'{\']" mode="rtl"><x:attribute name="open">}</x:attribute></x:template><x:template match="@close[.=\'}\']" mode="rtl"><x:attribute name="open">{</x:attribute></x:template><x:template match="m:mfrac[@bevelled=\'true\']" mode="rtl"><mrow><msub><mi></mi><x:apply-templates select="*[2]" mode="rtl"/></msub><mo>&#x5c;</mo><msup><mi></mi><x:apply-templates select="*[1]" mode="rtl"/></msup></mrow></x:template><x:template match="m:mfrac" mode="rtl"><x:copy><x:apply-templates mode="rtl" select="@*|*"/></x:copy></x:template><x:template match="m:mroot" mode="rtl"><msup><menclose notation="top right"><x:apply-templates mode="rtl" select="@*|*[1]"/></menclose><x:apply-templates mode="rtl" select="*[2]"/></msup></x:template><x:template match="m:msqrt" mode="rtl"><menclose notation="top right"><x:apply-templates mode="rtl" select="@*|*[1]"/></menclose></x:template><x:template match="m:mtable|m:munder|m:mover|m:munderover" mode="rtl" priority="2"><x:copy><x:apply-templates select="@*" mode="rtl"/><x:apply-templates mode="rtl"></x:apply-templates></x:copy></x:template><x:template match="m:msup" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><none/><x:apply-templates select="*[2]" mode="rtl"/></mmultiscripts></x:template><x:template match="m:msub" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:apply-templates select="*[2]" mode="rtl"/><none/></mmultiscripts></x:template><x:template match="m:msubsup" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:apply-templates select="*[2]" mode="rtl"/><x:apply-templates select="*[3]" mode="rtl"/></mmultiscripts></x:template><x:template match="m:mmultiscripts" mode="rtl" priority="2"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><x:for-each select="m:mprescripts/following-sibling::*[position() mod 2 = 1]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="." mode="rtl"/><x:apply-templates select="following-sibling::*[1]" mode="rtl"/></x:for-each><mprescripts/><x:for-each select="m:mprescripts/preceding-sibling::*[position()!=last()][position() mod 2 = 0]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="." mode="rtl"/><x:apply-templates select="following-sibling::*[1]" mode="rtl"/></x:for-each></mmultiscripts></x:template><x:template match="m:mmultiscripts[not(m:mprescripts)]" mode="rtl" priority="3"><mmultiscripts><x:apply-templates select="*[1]" mode="rtl"/><mprescripts/><x:for-each select="*[position() mod 2 = 0]"><x:sort data-type="number" order="descending" select="position()"/><x:apply-templates select="." mode="rtl"/><x:apply-templates select="following-sibling::*[1]" mode="rtl"/></x:for-each></mmultiscripts></x:template><x:template match="text()[.=\'(\']" mode="rtl">)</x:template><x:template match="text()[.=\')\']" mode="rtl">(</x:template><x:template match="text()[.=\'{\']" mode="rtl">}</x:template><x:template match="text()[.=\'}\']" mode="rtl">{</x:template><x:template match="text()[.=\'&lt;\']" mode="rtl">&gt;</x:template><x:template match="text()[.=\'&gt;\']" mode="rtl">&lt;</x:template><x:template match="text()[.=\'&#x2208;\']" mode="rtl">&#x220b;</x:template><x:template match="text()[.=\'&#x220b;\']" mode="rtl">&#x2208;</x:template><x:template match="@notation[.=\'radical\']" mode="rtl"><x:attribute name="notation">top right</x:attribute></x:template><x:template name="mml2attrib"><!-- <x:copy-of select="@*[not(local-name()=\'href\')]"/> --><x:copy-of select="@*[not(local-name()=\'href\')]"/><x:attribute name="style"><x:if test="@style"><x:value-of select="@style"/>;</x:if><x:if test="@mathcolor">color:<x:value-of select="@mathcolor"/>;</x:if><x:if test="@mathbackground">background-color:<x:value-of select="@mathbackground"/>;</x:if></x:attribute></x:template><!-- <x:template match="*[@href]" priority="3"><a xmlns="http://www.w3.org/1999/xhtml" style="text-decoration: none" href="{@href}"><x:copy><x:call-template name="mml2attrib"/><x:attribute name="class"><x:text>mmlhref </x:text><x:value-of select="@class"/></x:attribute><x:apply-templates/></x:copy></a></x:template> --><x:template match="*[@mathcolor|@mathbackground]"><x:copy><x:call-template name="mml2attrib"/><x:apply-templates/></x:copy></x:template><x:param name="hascolspan" select="true()"/><x:template match="m:mstack"><mtable columnspacing="0em"><x:variable name="t"><x:apply-templates select="*" mode="mstack1"><x:with-param name="p" select="0"/></x:apply-templates></x:variable><x:variable name="maxl"><x:for-each select="c:node-set($t)/*/@l"><x:sort data-type="number" order="descending"/><x:if test="position()=1"><x:value-of select="."/></x:if></x:for-each></x:variable><x:for-each select="c:node-set($t)/*[not(@class=\'mscarries\') or following-sibling::*[1]/@class=\'mscarries\']"><x:variable name="c" select="preceding-sibling::*[1][@class=\'mscarries\']"/><x:text>&#10;</x:text><mtr><x:variable name="offset" select="$maxl - @l"/><x:choose><x:when test="$hascolspan and @class=\'msline\' and (string(*[1]/@columnspan)=\'\' or string(*[1]/@columnspan)=\'0\')"><mtd columnspan="{$maxl}"><x:copy-of select="*/@style"/></mtd></x:when><x:when test="@class=\'msline\' and @l=\'*\'"><x:variable name="msl" select="*[1]"/><x:for-each select="(//node())[position()&lt;=$maxl]"><x:copy-of select="$msl"/></x:for-each></x:when><x:when test="$c"><x:variable name="ldiff" select="$c/@l - @l"/><x:variable name="loffset" select="$maxl - $c/@l"/><x:for-each select="(//*)[position()&lt;= $offset]"><x:variable name="pn" select="position()"/><x:variable name="cy" select="$c/*[position()=$pn - $loffset]"/> <mtd> <x:if test="$cy/*"/> <mover><mphantom><mn>0</mn></mphantom><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*/*"/></mpadded></mover> </mtd></x:for-each><x:for-each select="*"><x:variable name="pn" select="position()"/><x:variable name="cy" select="$c/*[position()=$pn + $ldiff]"/><x:copy> <x:copy-of select="@*"/> <x:variable name="b"> <x:choose> <x:when test="not(string($cy/@crossout) or $cy/@crossout=\'none\')"><x:copy-of select="*"/></x:when> <x:otherwise> <menclose notation="{$cy/@crossout}"><x:copy-of select="*"/></menclose> </x:otherwise> </x:choose> </x:variable> <x:choose> <x:when test="$cy/*/m:none or not($cy/*/*)"><x:copy-of select="$b"/></x:when> <x:when test="not(string($cy/@location)) or $cy/@location=\'n\'"> <mover><x:copy-of select="$b"/><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*/*"/></mpadded></mover> </x:when> <x:when test="$cy/@location=\'nw\'"> <mmultiscripts><x:copy-of select="$b"/><mprescripts/><none/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*/*"/></mpadded></mmultiscripts> </x:when> <x:when test="$cy/@location=\'s\'"> <munder><x:copy-of select="$b"/><mpadded width="0em" lspace="-0.5width"><x:copy-of select="$cy/*/*"/></mpadded></munder> </x:when> <x:when test="$cy/@location=\'sw\'"> <mmultiscripts><x:copy-of select="$b"/><mprescripts/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*/*"/></mpadded><none/></mmultiscripts> </x:when> <x:when test="$cy/@location=\'ne\'"> <msup><x:copy-of select="$b"/><mpadded width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msup> </x:when> <x:when test="$cy/@location=\'se\'"> <msub><x:copy-of select="$b"/><mpadded width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msub> </x:when> <x:when test="$cy/@location=\'w\'"> <msup><mrow/><mpadded lspace="-1width" width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msup> <x:copy-of select="$b"/> </x:when> <x:when test="$cy/@location=\'e\'"> <x:copy-of select="$b"/> <msup><mrow/><mpadded width="0em"><x:copy-of select="$cy/*/*"/></mpadded></msup> </x:when> <x:otherwise> <x:copy-of select="$b"/> </x:otherwise> </x:choose></x:copy></x:for-each></x:when><x:otherwise><x:for-each select="(//*)[position()&lt;= $offset]"><mtd/></x:for-each><x:copy-of select="*"/></x:otherwise></x:choose></mtr></x:for-each></mtable></x:template><x:template mode="mstack1" match="*"><x:param name="p"/><x:param name="maxl" select="0"/><mtr l="{1 + $p}"><x:if test="ancestor::mstack[1]/@stackalign=\'left\'"><x:attribute name="l"><x:value-of select="$p"/></x:attribute></x:if><mtd><x:apply-templates select="."/></mtd></mtr></x:template><x:template mode="mstack1" match="m:msrow"><x:param name="p"/><x:param name="maxl" select="0"/><x:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><x:variable name="row"><x:apply-templates mode="mstack1" select="*"><x:with-param name="p" select="0"/></x:apply-templates></x:variable><x:text>&#10;</x:text><x:variable name="l1"><x:choose><x:when test="$align=\'decimalpoint\' and m:mn"><x:for-each select="c:node-set($row)/m:mtr[m:mtd/m:mn][1]"><x:value-of select="number(sum(@l))+count(preceding-sibling::*/@l)"/></x:for-each></x:when><x:when test="$align=\'right\' or $align=\'decimalpoint\'"><x:value-of select="count(c:node-set($row)/m:mtr/m:mtd)"/></x:when><x:otherwise><x:value-of select="0"/></x:otherwise></x:choose></x:variable><mtr class="msrow" l="{number($l1) + number(sum(@position)) +$p}"><x:copy-of select="c:node-set($row)/m:mtr/*"/></mtr></x:template><x:template mode="mstack1" match="m:mn"><x:param name="p"/><x:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="dp1" select="ancestor::*[@decimalpoint][1]/@decimalpoint"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><x:variable name="dp"><x:choose><x:when test="string($dp1)=\'\'">.</x:when><x:otherwise><x:value-of select="$dp1"/></x:otherwise></x:choose></x:variable><mtr l="$p"><x:variable name="mn" select="normalize-space(.)"/><x:variable name="len" select="string-length($mn)"/><x:choose><x:when test="$align=\'right\' or ($align=\'decimalpoint\' and not(contains($mn,$dp)))"><x:attribute name="l"><x:value-of select="$p + $len"/></x:attribute></x:when><x:when test="$align=\'decimalpoint\'"><x:attribute name="l"><x:value-of select="$p + string-length(substring-before($mn,$dp))"/></x:attribute></x:when></x:choose><x:for-each select="(//node())[position() &lt;=$len]"><x:variable name="pos" select="position()"/><mtd><mn><x:value-of select="substring($mn,$pos,1)"/></mn></mtd></x:for-each></mtr></x:template><x:template match="m:msgroup" mode="mstack1"><x:param name="p"/><x:variable name="s" select="number(sum(@shift))"/><x:variable name="thisp" select="number(sum(@position))"/><x:for-each select="*"><x:apply-templates mode="mstack1" select="."><x:with-param name="p" select="number($p)+$thisp+(position()-1)*$s"/></x:apply-templates></x:for-each></x:template><x:template match="m:msline" mode="mstack1"><x:param name="p"/><x:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="align"><x:choose><x:when test="string($align1)=\'\'">decimalpoint</x:when><x:otherwise><x:value-of select="$align1"/></x:otherwise></x:choose></x:variable><mtr class="msline"><x:attribute name="l"><x:choose><x:when test="not(string(@length)) or @length=0">*</x:when><x:when test="string($align)=\'right\' or string($align)=\'decimalpoint\' "><x:value-of select="$p+ @length"/></x:when><x:otherwise><x:value-of select="$p"/></x:otherwise></x:choose></x:attribute><x:variable name="w"><x:choose><x:when test="@mslinethickness=\'thin\'">0.1em</x:when><x:when test="@mslinethickness=\'medium\'">0.15em</x:when><x:when test="@mslinethickness=\'thick\'">0.2em</x:when><x:when test="@mslinethickness"><x:value-of select="@mslinethickness"/></x:when><x:otherwise>0.15em</x:otherwise></x:choose></x:variable><x:choose><x:when test="$hascolspan"><mtd class="msline" columnspan="{@length}"><x:copy-of select="@position"/><x:attribute name="style"><x:value-of select="concat(\'border-style: solid; border-width: 0 0 \',$w,\' 0\')"/></x:attribute></mtd></x:when><x:when test="not(string(@length)) or @length=0"><mtd class="mslinemax"><mpadded lspace="-0.5em" width="0em" height="0em"><mfrac linethickness="{$w}"><mspace width="1em"/><mrow/></mfrac></mpadded></mtd></x:when><x:otherwise><x:variable name="l" select="@length"/><x:for-each select="(//node())[position()&lt;=$l]"><mtd class="msline"><mpadded lspace="-0.5em" width="0em" height="0em"><mfrac linethickness="{$w}"> <mspace width="1em"/> <mrow/></mfrac></mpadded></mtd></x:for-each></x:otherwise></x:choose></mtr></x:template><x:template match="m:mscarries" mode="mstack1"><x:param name="p"/><x:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/><x:variable name="l1"><x:choose><x:when test="string($align1)=\'left\'">0</x:when><x:otherwise><x:value-of select="count(*)"/></x:otherwise></x:choose></x:variable><mtr class="mscarries" l="{$p + $l1 + sum(@position)}"><x:apply-templates select="*" mode="msc"/></mtr></x:template><x:template match="*" mode="msc"><mtd><x:copy-of select="../@location|../@crossout"/><mstyle mathsize="70%"><x:apply-templates select="."/></mstyle></mtd></x:template><x:template match="m:mscarry" mode="msc"><mtd><x:copy-of select="@location|@crossout"/><mstyle mathsize="70%"><x:apply-templates select="*"/></mstyle></mtd></x:template><x:template match="m:mlongdiv"><x:variable name="ms"><mstack><x:copy-of select="(ancestor-or-self::*/@decimalpoint)[last()]"/><x:choose><x:when test="@longdivstyle=\'left/\right\'"><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>/</mo><x:copy-of select="*[3]"/><mo></mo><x:copy-of select="*[2]"/></msrow></x:when><x:when test="@longdivstyle=\'left)(right\'"><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>)</mo><x:copy-of select="*[3]"/><mo>(</mo><x:copy-of select="*[2]"/></msrow></x:when><x:when test="@longdivstyle=\':right=right\'"><msrow><x:copy-of select="*[3]"/><mo>:</mo><x:copy-of select="*[1]"/><mo>=</mo><x:copy-of select="*[2]"/></msrow></x:when><x:otherwise><x:copy-of select="*[2]"/><msline length="{string-length(*[3])}"/><msrow><mrow><x:copy-of select="*[1]"/></mrow><mo>)</mo><x:copy-of select="*[3]"/></msrow></x:otherwise></x:choose><x:copy-of select="*[position()&gt;3]"/></mstack></x:variable><x:apply-templates select="c:node-set($ms)"/></x:template><x:template match="m:menclose[@notation=\'madruwb\']" mode="rtl"><menclose notation="bottom right"><x:apply-templates mode="rtl"/></menclose></x:template></x:stylesheet>';var d;if(window.XSLTProcessor){if(!c.ParseXML){c.ParseXML=c.createParser()}c.ctopXSLT=new XSLTProcessor();c.ctopXSLT.importStylesheet(c.ParseXML(a))}else{if(MathJax.Hub.Browser.isMSIE){if(MathJax.Hub.Browser.versionAtLeast("9.0")||(document.documentMode||0)>=9){d=new ActiveXObject("Msxml2.FreeThreadedDOMDocument");d.loadXML(a);var b=new ActiveXObject("Msxml2.XSLTemplate");b.stylesheet=d;c.ctopXSLT={ctop:b.createProcessor(),transformToDocument:function(f){this.ctop.input=f;this.ctop.transform();return this.ctop.output}}}else{d=c.createMSParser();d.async=false;d.loadXML(a);c.ctopXSLT={ctop:d,transformToDocument:function(f){return f.documentElement.transformNode(this.ctop)}}}}else{c.ctopXSLT=null}}MathJax.Hub.Startup.signal.Post("MathML content-mathml Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/content-mathml.js");
diff --git a/extensions/MathMenu.js b/extensions/MathMenu.js
index 897eb81e2..751bd34a5 100644
--- a/extensions/MathMenu.js
+++ b/extensions/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(c,g,k,f,b){var q="2.3";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.fileURL(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,B){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax])}var t=g.addElement(r,"div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});MathJax.Localization.setCSS(t);for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:B,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var A=s.pageX,z=s.pageY;if(!A&&!z){A=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!B){if(A+t.offsetWidth>document.body.offsetWidth-this.margin){A=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){A=Math.max(5,A-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",C=B.offsetWidth;A=(a.isMobile?30:C-2);z=0;while(B&&B!==r){A+=B.offsetLeft;z+=B.offsetTop;B=B.parentNode}if(A+t.offsetWidth>document.body.offsetWidth-this.margin&&!a.isMobile){w="right";A=Math.max(this.margin,A-C-t.offsetWidth+6)}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=A+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"},[this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,B;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));r.resizeTo(z,A);if(t&&t.screenX!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));B=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,B)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:(document.documentMode<9),msieFixedPositionBug:(s||!t),msieAboutBug:s});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+(function(c,g,k,f,b){var q="2.4-beta";var j=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:q,signal:j};var o=function(r){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",r]].concat([].slice.call(arguments,1)))};var n=c.Browser.isPC,l=c.Browser.isMSIE,e=((document.documentMode||0)>8);var i=(n?null:"5px");var p=c.CombineConfig("MathMenu",{delay:150,closeImg:k.urlRev(b.imageDir+"/CloseX-31.png"),showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(n?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":i,"-webkit-border-radius":i,"-moz-border-radius":i,"-khtml-border-radius":i,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(n?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em",color:"#666666","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(n?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(n?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(n?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(n?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(n?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(n?"Highlight":"#606872"),color:(n?"HighlightText":"white")},".MathJax_Menu_Close":{position:"absolute",width:"31px",height:"31px",top:"-15px",left:"-15px"}}});var h,d;c.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;d=MathJax.Extension.MathEvents.Hover});var a=MathJax.Menu=MathJax.Object.Subclass({version:q,items:[],posted:false,title:null,margin:5,Init:function(r){this.items=[].slice.call(arguments,0)},With:function(r){if(r){c.Insert(this,r)}return this},Post:function(s,C,A){if(!s){s=window.event}var r=document.getElementById("MathJax_MenuFrame");if(!r){r=a.Background(this);delete m.lastItem;delete m.lastMenu;delete a.skipUp;j.Post(["post",a.jax]);a.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var t=g.Element("div",{onmouseup:a.Mouseup,ondblclick:h,ondragstart:h,onselectstart:h,oncontextmenu:h,menuItem:this,className:"MathJax_Menu"});if(!A){MathJax.Localization.setCSS(t)}for(var v=0,u=this.items.length;v<u;v++){this.items[v].Create(t)}if(a.isMobile){g.addElement(t,"span",{className:"MathJax_Menu_Close",menu:C,ontouchstart:a.Close,ontouchend:h,onmousedown:a.Close,onmouseup:h},[["img",{src:p.closeImg,style:{width:"100%",height:"100%"}}]])}r.appendChild(t);this.posted=true;t.style.width=(t.offsetWidth+2)+"px";var B=s.pageX,z=s.pageY;if(!B&&!z){B=s.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;z=s.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!C){if(B+t.offsetWidth>document.body.offsetWidth-this.margin){B=document.body.offsetWidth-t.offsetWidth-this.margin}if(a.isMobile){B=Math.max(5,B-Math.floor(t.offsetWidth/2));z-=20}a.skipUp=s.isContextMenu}else{var w="left",D=C.offsetWidth;B=(a.isMobile?30:D-2);z=0;while(C&&C!==r){B+=C.offsetLeft;z+=C.offsetTop;C=C.parentNode}if(!a.isMobile){if((a.isRTL&&B-D-t.offsetWidth>this.margin)||(!a.isRTL&&B+t.offsetWidth>document.body.offsetWidth-this.margin)){w="right";B=Math.max(this.margin,B-D-t.offsetWidth+6)}}if(!n){t.style["borderRadiusTop"+w]=0;t.style["WebkitBorderRadiusTop"+w]=0;t.style["MozBorderRadiusTop"+w]=0;t.style["KhtmlBorderRadiusTop"+w]=0}}t.style.left=B+"px";t.style.top=z+"px";if(document.selection&&document.selection.empty){document.selection.empty()}return h(s)},Remove:function(r,s){j.Post(["unpost",a.jax]);var t=document.getElementById("MathJax_MenuFrame");if(t){t.parentNode.removeChild(t);if(this.msieFixedPositionBug){detachEvent("onresize",a.Resize)}}if(a.jax.hover){delete a.jax.hover.nofade;d.UnHover(a.jax)}return h(r)},Find:function(r){return this.FindN(1,r,[].slice.call(arguments,1))},FindId:function(r){return this.FindN(0,r,[].slice.call(arguments,1))},FindN:function(v,s,u){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[v]===s){if(u.length){if(!this.items[t].menu){return null}return this.items[t].menu.FindN(v,u[0],u.slice(1))}return this.items[t]}}return null},IndexOf:function(r){return this.IndexOfN(1,r)},IndexOfId:function(r){return this.IndexOfN(0,r)},IndexOfN:function(u,s){for(var t=0,r=this.items.length;t<r;t++){if(this.items[t].name[u]===s){return t}}return null}},{config:p,div:null,Close:function(r){return a.Event(r,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Remove:function(r){return a.Event(r,this,"Remove")},Mouseover:function(r){return a.Event(r,this,"Mouseover")},Mouseout:function(r){return a.Event(r,this,"Mouseout")},Mousedown:function(r){return a.Event(r,this,"Mousedown")},Mouseup:function(r){return a.Event(r,this,"Mouseup")},Touchstart:function(r){return a.Event(r,this,"Touchstart")},Touchend:function(r){return a.Event(r,this,"Touchend")},Event:function(t,v,r,u){if(a.skipMouseover&&r==="Mouseover"&&!u){return h(t)}if(a.skipUp){if(r.match(/Mouseup|Touchend/)){delete a.skipUp;return h(t)}if(r==="Touchstart"||(r==="Mousedown"&&!a.skipMousedown)){delete a.skipUp}}if(!t){t=window.event}var s=v.menuItem;if(s&&s[r]){return s[r](t,v)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(s){var t=g.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:s,onmousedown:this.Remove}]]);var r=t.firstChild;if(a.msieBackgroundBug){r.style.backgroundColor="white";r.style.filter="alpha(opacity=0)"}if(a.msieFixedPositionBug){t.width=t.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{r.style.position="fixed"}return t},Resize:function(){setTimeout(a.SetWH,0)},SetWH:function(){var r=document.getElementById("MathJax_MenuFrame");if(r){r=r.firstChild;r.style.width=r.style.height="1px";r.style.width=document.body.scrollWidth+"px";r.style.height=document.body.scrollHeight+"px"}},saveCookie:function(){g.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=g.Cookie.Get("menu")},getImages:function(){if(a.isMobile){var r=new Image();r.src=p.closeImg}}});var m=a.ITEM=MathJax.Object.Subclass({name:"",Create:function(s){if(!this.hidden){var r={onmouseover:a.Mouseover,onmouseout:a.Mouseout,onmouseup:a.Mouseup,onmousedown:a.Mousedown,ondragstart:h,onselectstart:h,onselectend:h,ontouchstart:a.Touchstart,ontouchend:a.Touchend,className:"MathJax_MenuItem",menuItem:this};if(this.disabled){r.className+=" MathJax_MenuDisabled"}g.addElement(s,"div",r,this.Label(r,s))}},Name:function(){return o(this.name[0],this.name[1])},Mouseover:function(v,x){if(!this.disabled){this.Activate(x)}if(!this.menu||!this.menu.posted){var w=document.getElementById("MathJax_MenuFrame").childNodes,s=x.parentNode.childNodes;for(var t=0,r=s.length;t<r;t++){var u=s[t].menuItem;if(u&&u.menu&&u.menu.posted){u.Deactivate(s[t])}}r=w.length-1;while(r>=0&&x.parentNode.menuItem!==w[r].menuItem){w[r].menuItem.posted=false;w[r].parentNode.removeChild(w[r]);r--}if(this.Timer&&!a.isMobile){this.Timer(v,x)}}},Mouseout:function(r,s){if(!this.menu||!this.menu.posted){this.Deactivate(s)}if(this.timer){clearTimeout(this.timer);delete this.timer}},Mouseup:function(r,s){return this.Remove(r,s)},Touchstart:function(r,s){return this.TouchEvent(r,s,"Mousedown")},Touchend:function(r,s){return this.TouchEvent(r,s,"Mouseup")},TouchEvent:function(s,t,r){if(this!==m.lastItem){if(m.lastMenu){a.Event(s,m.lastMenu,"Mouseout")}a.Event(s,t,"Mouseover",true);m.lastItem=this;m.lastMenu=t}if(this.nativeTouch){return null}a.Event(s,t,r);return false},Remove:function(r,s){s=s.parentNode.menuItem;return s.Remove(r,s)},Activate:function(r){this.Deactivate(r);r.className+=" MathJax_MenuActive"},Deactivate:function(r){r.className=r.className.replace(/ MathJax_MenuActive/,"")},With:function(r){if(r){c.Insert(this,r)}return this},isRTL:function(){return a.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}});a.ITEM.COMMAND=a.ITEM.Subclass({action:function(){},Init:function(r,t,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.action=t;this.With(s)},Label:function(r,s){return[this.Name()]},Mouseup:function(r,s){if(!this.disabled){this.Remove(r,s);j.Post(["command",this]);this.action.call(this,r)}return h(r)}});a.ITEM.SUBMENU=a.ITEM.Subclass({menu:null,marker:(n&&!c.Browser.isSafari?"\u25B6":"\u25B8"),markerRTL:(n&&!c.Browser.isSafari?"\u25B0":"\u25C2"),Init:function(r,t){if(!(r instanceof Array)){r=[r,r]}this.name=r;var s=1;if(!(t instanceof a.ITEM)){this.With(t),s++}this.menu=a.apply(a,[].slice.call(arguments,s))},Label:function(r,s){this.menu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(r,s){if(this.timer){clearTimeout(this.timer)}r={clientX:r.clientX,clientY:r.clientY};this.timer=setTimeout(f(["Mouseup",this,r,s]),p.delay)},Touchend:function(s,u){var t=this.menu.posted;var r=this.SUPER(arguments).Touchend.apply(this,arguments);if(t){this.Deactivate(u);delete m.lastItem;delete m.lastMenu}return r},Mouseup:function(s,u){if(!this.disabled){if(!this.menu.posted){if(this.timer){clearTimeout(this.timer);delete this.timer}this.menu.Post(s,u,this.ltr)}else{var t=document.getElementById("MathJax_MenuFrame").childNodes,r=t.length-1;while(r>=0){var v=t[r];v.menuItem.posted=false;v.parentNode.removeChild(v);if(v.menuItem===this.menu){break}r--}}}return h(s)}});a.ITEM.RADIO=a.ITEM.Subclass({variable:null,marker:(n?"\u25CF":"\u2713"),Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t);if(this.value==null){this.value=this.name[0]}},Label:function(s,t){var r={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(p.settings[this.variable]!==this.value){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){var w=v.parentNode.childNodes;for(var s=0,r=w.length;s<r;s++){var t=w[s].menuItem;if(t&&t.variable===this.variable){w[s].firstChild.style.display="none"}}v.firstChild.display="";p.settings[this.variable]=this.value;a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["radio button",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(a,this)}return h(u)}});a.ITEM.CHECKBOX=a.ITEM.Subclass({variable:null,marker:"\u2713",Init:function(s,r,t){if(!(s instanceof Array)){s=[s,s]}this.name=s;this.variable=r;this.With(t)},Label:function(s,t){var r={className:"MathJax_MenuCheck"+this.rtlClass()};if(!p.settings[this.variable]){r={style:{display:"none"}}}return[["span",r,[this.marker]]," "+this.Name()]},Mouseup:function(r,s){if(!this.disabled){s.firstChild.display=(p.settings[this.variable]?"none":"");p.settings[this.variable]=!p.settings[this.variable];a.cookie[this.variable]=p.settings[this.variable];a.saveCookie();j.Post(["checkbox",this])}this.Remove(r,s);if(this.action&&!this.disabled){this.action.call(a,this)}return h(r)}});a.ITEM.LABEL=a.ITEM.Subclass({Init:function(r,s){if(!(r instanceof Array)){r=[r,r]}this.name=r;this.With(s)},Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuLabel";return[this.Name()]}});a.ITEM.RULE=a.ITEM.Subclass({Label:function(r,s){delete r.onmouseover,delete r.onmouseout;delete r.onmousedown;r.className+=" MathJax_MenuRule";return null}});a.About=function(){var t=b["HTML-CSS"]||{};var s=(t.imgFonts?"image":(t.fontInUse?(t.webFonts?"web":"local")+" "+t.fontInUse:(b.SVG?"web SVG":"generic")))+" fonts";var x=(!t.webFonts||t.imgFonts?null:t.allowWebFonts.replace(/otf/,"woff or otf")+" fonts");var r=["MathJax.js v"+MathJax.fileversion,["br"]];r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);a.About.GetJax(r,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);a.About.GetJax(r,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);a.About.GetJax(r,MathJax.Extension,["Extension","%1 Extension v%2"],true);r.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[c.Browser+" v"+c.Browser.version+(x?" \u2014 "+o(x.replace(/ /g,""),x):"")]]);a.About.div=a.Background(a.About);var v=g.addElement(a.About.div,"div",{id:"MathJax_About"},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],o(s.replace(/ /g,""),"using "+s),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"}},r],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["img",{src:p.closeImg,style:{width:"21px",height:"21px",position:"absolute",top:".2em",right:".2em"},onclick:a.About.Remove}]]);MathJax.Localization.setCSS(v);var w=(document.documentElement||{});var u=window.innerHeight||w.clientHeight||w.scrollHeight||0;if(a.prototype.msieAboutBug){v.style.width="20em";v.style.position="absolute";v.style.left=Math.floor((document.documentElement.scrollWidth-v.offsetWidth)/2)+"px";v.style.top=(Math.floor((u-v.offsetHeight)/3)+document.body.scrollTop)+"px"}else{v.style.marginLeft=Math.floor(-v.offsetWidth/2)+"px";v.style.top=Math.floor((u-v.offsetHeight)/3)+"px"}};a.About.Remove=function(r){if(a.About.div){document.body.removeChild(a.About.div);delete a.About.div}};a.About.GetJax=function(s,x,v,u){var w=[];for(var y in x){if(x.hasOwnProperty(y)&&x[y]){if((u&&x[y].version)||(x[y].isa&&x[y].isa(x))){w.push(o(v[0],v[1],(x[y].id||y),x[y].version))}}}w.sort();for(var t=0,r=w.length;t<r;t++){s.push(w[t],["br"])}return s};a.Help=function(){k.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog()})};a.ShowSource=function(v){if(!v){v=window.event}var u={screenX:v.screenX,screenY:v.screenY};if(!a.jax){return}if(this.format==="MathML"){var s=MathJax.ElementJax.mml;if(s&&typeof(s.mbase.prototype.toMathML)!=="undefined"){try{a.ShowSource.Text(a.jax.root.toMathML(),v)}catch(t){if(!t.restart){throw t}f.After([this,a.ShowSource,u],t.restart)}}else{if(!k.loadingToMathML){k.loadingToMathML=true;a.ShowSource.Window(v);f.Queue(k.Require("[MathJax]/extensions/toMathML.js"),function(){delete k.loadingToMathML;if(!s.mbase.prototype.toMathML){s.mbase.prototype.toMathML=function(){}}},[this,a.ShowSource,u]);return}}}else{if(this.format==="Error"){a.ShowSource.Text(a.jax.errorText,v)}else{if(p.semanticsAnnotations[this.format]){var r=a.jax.root.getAnnotation(this.format);if(r.data[0]){a.ShowSource.Text(r.data[0].toString())}}else{if(a.jax.originalText==null){alert(o("NoOriginalForm","No original form available"));return}a.ShowSource.Text(a.jax.originalText,v)}}}};a.ShowSource.Window=function(s){if(!a.ShowSource.w){var t=[],r=p.windowSettings;for(var u in r){if(r.hasOwnProperty(u)){t.push(u+"="+r[u])}}a.ShowSource.w=window.open("","_blank",t.join(","))}return a.ShowSource.w};a.ShowSource.Text=function(v,t){var r=a.ShowSource.Window(t);delete a.ShowSource.w;v=v.replace(/^\s*/,"").replace(/\s*$/,"");v=v.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var u=o("EqSource","MathJax Equation Source");if(a.isMobile){r.document.open();r.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<pre>"+v+"</pre>");r.document.write("<hr><input type='button' value='"+o("Close","Close")+"' onclick='window.close()' />");r.document.write("</body></html>");r.document.close()}else{r.document.open();r.document.write("<html><head><title>"+u+"</title></head><body style='font-size:85%'>");r.document.write("<table><tr><td><pre>"+v+"</pre></td></tr></table>");r.document.write("</body></html>");r.document.close();var s=r.document.body.firstChild;setTimeout(function(){var A=(r.outerHeight-r.innerHeight)||30,z=(r.outerWidth-r.innerWidth)||30,w,D;z=Math.max(100,Math.min(Math.floor(0.5*screen.width),s.offsetWidth+z+25));A=Math.max(40,Math.min(Math.floor(0.5*screen.height),s.offsetHeight+A+25));if(a.prototype.msieHeightBug){A+=35}r.resizeTo(z,A);var C;try{C=t.screenX}catch(B){}if(t&&C!=null){w=Math.max(0,Math.min(t.screenX-Math.floor(z/2),screen.width-z-20));D=Math.max(0,Math.min(t.screenY-Math.floor(A/2),screen.height-A-20));r.moveTo(w,D)}},50)}};a.Scale=function(){var s=b["HTML-CSS"],r=b.NativeMML,v=b.SVG;var u=(s||r||v||{config:{scale:100}}).config.scale;var t=prompt(o("ScaleMath","Scale all mathematics (compared to surrounding text) by"),u+"%");if(t){if(t.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){t=parseFloat(t);if(t){if(t!==u){if(s){s.config.scale=t}if(r){r.config.scale=t}if(v){v.config.scale=t}a.cookie.scale=t;a.saveCookie();c.Reprocess()}}else{alert(o("NonZeroScale","The scale should not be zero"))}}else{alert(o("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};a.Zoom=function(){if(!MathJax.Extension.MathZoom){k.Require("[MathJax]/extensions/MathZoom.js")}};a.Renderer=function(){var s=c.outputJax["jax/mml"];if(s[0]!==p.settings.renderer){var v=c.Browser,u,r=a.Renderer.Messages,t;switch(p.settings.renderer){case"NativeMML":if(!p.settings.warnedMML){if(v.isChrome&&v.version.substr(0,3)!=="24."){u=r.MML.WebKit}else{if(v.isSafari&&!v.versionAtLeast("5.0")){u=r.MML.WebKit}else{if(v.isMSIE){if(!v.hasMathPlayer){u=r.MML.MSIE}}else{u=r.MML[v]}}}t="warnedMML"}break;case"SVG":if(!p.settings.warnedSVG){if(v.isMSIE&&!e){u=r.SVG.MSIE}}break}if(u){u=o(u[0],u[1]);u+="\n\n";u+=o("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");a.cookie.renderer=s[0].id;a.saveCookie();if(!confirm(u)){a.cookie.renderer=p.settings.renderer=g.Cookie.Get("menu").renderer;a.saveCookie();return}if(t){a.cookie.warned=p.settings.warned=true}a.cookie.renderer=p.settings.renderer;a.saveCookie()}c.Queue(["setRenderer",c,p.settings.renderer,"jax/mml"],["Rerender",c])}};a.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};a.Font=function(){var r=b["HTML-CSS"];if(!r){return}document.location.reload()};a.Locale=function(){MathJax.Localization.setLocale(p.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};a.LoadLocale=function(){var r=prompt(o("LoadURL","Load translation data from this URL:"));if(r){if(!r.match(/\.js$/)){alert(o("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}k.Require(r,function(s){if(s!=k.STATUS.OK){alert(o("BadData","Failed to load translation data from %1",r))}})}};a.MPEvents=function(t){var s=p.settings.discoverable,r=a.MPEvents.Messages;if(!e){if(p.settings.mpMouse&&!confirm(o.apply(o,r.IE8warning))){delete a.cookie.mpContext;delete p.settings.mpContext;delete a.cookie.mpMouse;delete p.settings.mpMouse;a.saveCookie();return}p.settings.mpContext=p.settings.mpMouse;a.cookie.mpContext=a.cookie.mpMouse=p.settings.mpMouse;a.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!s&&t.name[1]==="Menu Events"&&p.settings.mpContext){alert(o.apply(o,r.IE9warning))}}};a.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};c.Browser.Select({MSIE:function(r){var s=(document.compatMode==="BackCompat");var t=r.versionAtLeast("8.0")&&document.documentMode>7;a.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(s||!t),msieAboutBug:s,msieHeightBug:((document.documentMode||0)<9)});if(e){delete p.styles["#MathJax_About"].filter;delete p.styles[".MathJax_Menu"].filter}},Firefox:function(r){a.skipMouseover=r.isMobile&&r.versionAtLeast("6.0");a.skipMousedown=r.isMobile}});a.isMobile=c.Browser.isMobile;a.noContextMenu=c.Browser.noContextMenu;a.CreateLocaleMenu=function(){if(!a.menu){return}var w=a.menu.Find("Language").menu,t=w.items;var s=[],y=MathJax.Localization.strings;for(var x in y){if(y.hasOwnProperty(x)){s.push(x)}}s=s.sort();w.items=[];for(var u=0,r=s.length;u<r;u++){var v=y[s[u]].menuTitle;if(v){v+=" ("+s[u]+")"}else{v=s[u]}w.items.push(m.RADIO([s[u],v],"locale",{action:a.Locale}))}w.items.push(t[t.length-2],t[t.length-1])};a.CreateAnnotationMenu=function(){if(!a.menu){return}var t=a.menu.Find("Show Math As","Annotation").menu;var s=p.semanticsAnnotations;for(var r in s){if(s.hasOwnProperty(r)){t.items.push(m.COMMAND([r,r],a.ShowSource,{hidden:true,nativeTouch:true,format:r}))}}};c.Register.StartupHook("End Config",function(){p.settings=c.config.menuSettings;if(typeof(p.settings.showRenderer)!=="undefined"){p.showRenderer=p.settings.showRenderer}if(typeof(p.settings.showFontMenu)!=="undefined"){p.showFontMenu=p.settings.showFontMenu}if(typeof(p.settings.showContext)!=="undefined"){p.showContext=p.settings.showContext}a.getCookie();a.menu=a(m.SUBMENU(["Show","Show Math As"],m.COMMAND(["MathMLcode","MathML Code"],a.ShowSource,{nativeTouch:true,format:"MathML"}),m.COMMAND(["Original","Original Form"],a.ShowSource,{nativeTouch:true}),m.SUBMENU(["Annotation","Annotation"],{disabled:true}),m.RULE(),m.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints")),m.RULE(),m.SUBMENU(["Settings","Math Settings"],m.SUBMENU(["ZoomTrigger","Zoom Trigger"],m.RADIO(["Hover","Hover"],"zoom",{action:a.Zoom}),m.RADIO(["Click","Click"],"zoom",{action:a.Zoom}),m.RADIO(["DoubleClick","Double-Click"],"zoom",{action:a.Zoom}),m.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),m.RULE(),m.LABEL(["TriggerRequires","Trigger Requires:"]),m.CHECKBOX((c.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),m.CHECKBOX(["Command","Command"],"CMD",{hidden:!c.Browser.isMac}),m.CHECKBOX(["Control","Control"],"CTRL",{hidden:c.Browser.isMac}),m.CHECKBOX(["Shift","Shift"],"Shift")),m.SUBMENU(["ZoomFactor","Zoom Factor"],m.RADIO("125%","zscale"),m.RADIO("133%","zscale"),m.RADIO("150%","zscale"),m.RADIO("175%","zscale"),m.RADIO("200%","zscale"),m.RADIO("250%","zscale"),m.RADIO("300%","zscale"),m.RADIO("400%","zscale")),m.RULE(),m.SUBMENU(["Renderer","Math Renderer"],{hidden:!p.showRenderer},m.RADIO("HTML-CSS","renderer",{action:a.Renderer}),m.RADIO("MathML","renderer",{action:a.Renderer,value:"NativeMML"}),m.RADIO("SVG","renderer",{action:a.Renderer})),m.SUBMENU("MathPlayer",{hidden:!c.Browser.isMSIE||!p.showMathPlayer,disabled:!c.Browser.hasMathPlayer},m.LABEL(["MPHandles","Let MathPlayer Handle:"]),m.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:a.MPEvents,hidden:!e}),m.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:a.MPEvents,hidden:e})),m.SUBMENU(["FontPrefs","Font Preference"],{hidden:!p.showFontMenu},m.LABEL(["ForHTMLCSS","For HTML-CSS:"]),m.RADIO(["Auto","Auto"],"font",{action:a.Font}),m.RULE(),m.RADIO(["TeXLocal","TeX (local)"],"font",{action:a.Font}),m.RADIO(["TeXWeb","TeX (web)"],"font",{action:a.Font}),m.RADIO(["TeXImage","TeX (image)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["STIXLocal","STIX (local)"],"font",{action:a.Font}),m.RADIO(["STIXWeb","STIX (web)"],"font",{action:a.Font}),m.RULE(),m.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:a.Font}),m.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:a.Font}),m.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:a.Font}),m.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:a.Font}),m.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:a.Font})),m.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!p.showContext},m.RADIO("MathJax","context"),m.RADIO(["Browser","Browser"],"context")),m.COMMAND(["Scale","Scale All Math ..."],a.Scale),m.RULE().With({hidden:!p.showDiscoverable,name:["","discover_rule"]}),m.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!p.showDiscoverable})),m.SUBMENU(["Locale","Language"],{hidden:!p.showLocale,ltr:true},m.RADIO("en","locale",{action:a.Locale}),m.RULE().With({hidden:!p.showLocaleURL,name:["","localURL_rule"]}),m.COMMAND(["LoadLocale","Load from URL ..."],a.LoadLocale,{hidden:!p.showLocaleURL})),m.RULE(),m.COMMAND(["About","About MathJax"],a.About),m.COMMAND(["Help","MathJax Help"],a.Help));if(a.isMobile){(function(){var s=p.settings;var r=a.menu.Find("Math Settings","Zoom Trigger").menu;r.items[0].disabled=r.items[1].disabled=true;if(s.zoom==="Hover"||s.zoom=="Click"){s.zoom="None"}r.items=r.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){a.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}a.CreateLocaleMenu();a.CreateAnnotationMenu()});a.showRenderer=function(r){a.cookie.showRenderer=p.showRenderer=r;a.saveCookie();a.menu.Find("Math Settings","Math Renderer").hidden=!r};a.showMathPlayer=function(r){a.cookie.showMathPlayer=p.showMathPlayer=r;a.saveCookie();a.menu.Find("Math Settings","MathPlayer").hidden=!r};a.showFontMenu=function(r){a.cookie.showFontMenu=p.showFontMenu=r;a.saveCookie();a.menu.Find("Math Settings","Font Preference").hidden=!r};a.showContext=function(r){a.cookie.showContext=p.showContext=r;a.saveCookie();a.menu.Find("Math Settings","Contextual Menu").hidden=!r};a.showDiscoverable=function(r){a.cookie.showDiscoverable=p.showDiscoverable=r;a.saveCookie();a.menu.Find("Math Settings","Highlight on Hover").hidden=!r;a.menu.Find("Math Settings","discover_rule").hidden=!r};a.showLocale=function(r){a.cookie.showLocale=p.showLocale=r;a.saveCookie();a.menu.Find("Language").hidden=!r};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){a.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});f.Queue(c.Register.StartupHook("End Config",{}),["getImages",a],["Styles",k,p.styles],["Post",c.Startup.signal,"MathMenu Ready"],["loadComplete",k,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
diff --git a/extensions/MathZoom.js b/extensions/MathZoom.js
index 5a1ec07b1..5a6000478 100644
--- a/extensions/MathZoom.js
+++ b/extensions/MathZoom.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(a,d,f,c,j){var k="2.3";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(n,s){this.Remove();b.ClearHoverTimer();g.ClearSelection();var q=MathJax.OutputJax[s.jaxID];var o=q.getJaxFromMath(s);if(o.hover){b.UnHover(o)}var l=Math.floor(0.85*document.body.clientWidth),r=Math.floor(0.85*Math.max(document.body.clientHeight,document.documentElement.clientHeight));var m=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale,"max-width":l+"px","max-height":r+"px"}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var x=m.lastChild,u=x.firstChild,p=m.firstChild;s.parentNode.insertBefore(m,s);s.parentNode.insertBefore(s,m);if(u.addEventListener){u.addEventListener("mousedown",this.Remove,true)}if(this.msieTrapEventBug){var w=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});m.insertBefore(w,x)}if(this.msieZIndexBug){var t=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});m.style.position="relative";m.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];m=t}var v=q.Zoom(o,u,s,l,r);if(this.msiePositionBug){if(this.msieSizeBug){x.style.height=v.zH+"px";x.style.width=v.zW+"px"}if(x.offsetHeight>r){x.style.height=r+"px";x.style.width=(v.zW+this.scrollSize)+"px"}if(x.offsetWidth>l){x.style.width=l+"px";x.style.height=(v.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){x.style.width=Math.min(l,v.zW)+"px"}if(x.offsetWidth&&x.offsetWidth<l&&x.offsetHeight<r){x.style.overflow="visible"}this.Position(x,v);if(this.msieTrapEventBug){w.style.height=x.clientHeight+"px";w.style.width=x.clientWidth+"px";w.style.left=(parseFloat(x.style.left)+x.clientLeft)+"px";w.style.top=(parseFloat(x.style.top)+x.clientTop)+"px"}x.style.visibility="";if(this.settings.zoom==="Hover"){p.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",o]);return e(n)},Position:function(p,r){var q=this.Resize(),m=q.x,s=q.y,l=r.mW;var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var r=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(r);var n=r.parentNode,q=h.getOverflow(n);while(n.parentNode&&n!==document.body&&q==="visible"){n=n.parentNode;q=h.getOverflow(n)}if(q!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.width=l.style.height="1px";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px"},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(a,d,f,c,j){var k="2.4-beta";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
diff --git a/extensions/Safe.js b/extensions/Safe.js
index 6404a32d6..fc230e145 100644
--- a/extensions/Safe.js
+++ b/extensions/Safe.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(d,c){var f="2.3";var a=MathJax.Hub.CombineConfig("Safe",{allow:{URLs:"safe",classes:"safe",cssIDs:"safe",styles:"safe",fontsize:"all",require:"safe"},sizeMin:0.7,sizeMax:1.44,safeProtocols:{http:true,https:true,file:true,javascript:false},safeStyles:{color:true,backgroundColor:true,border:true,cursor:true,margin:true,padding:true,textShadow:true,fontFamily:true,fontSize:true,fontStyle:true,fontWeight:true,opacity:true,outline:true},safeRequire:{action:true,amscd:true,amsmath:true,amssymbols:true,autobold:false,"autoload-all":false,bbox:true,begingroup:true,boldsymbol:true,cancel:true,color:true,enclose:true,extpfeil:true,HTML:true,mathchoice:true,mhchem:true,newcommand:true,noErrors:false,noUndefined:false,unicode:true,verb:true}});var e=a.allow;if(e.fontsize!=="all"){a.safeStyles.fontSize=false}var b=MathJax.Extension.Safe={version:f,config:a,div1:document.createElement("div"),div2:document.createElement("div"),filter:{href:"filterURL",src:"filterURL",altimg:"filterURL","class":"filterClass",style:"filterStyles",id:"filterID",fontsize:"filterFontSize",mathsize:"filterFontSize",scriptminsize:"filterFontSize",scriptsizemultiplier:"filterSizeMultiplier",scriptlevel:"filterScriptLevel"},filterURL:function(g){var h=(g.match(/^\s*([a-z]+):/i)||[null,""])[1].toLowerCase();if(e.URLs==="none"||(e.URLs!=="all"&&!a.safeProtocols[h])){g=null}return g},filterClass:function(g){if(e.classes==="none"||(e.classes!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterID:function(g){if(e.cssIDs==="none"||(e.cssIDs!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterStyles:function(j){if(e.styles==="all"){return j}if(e.styles==="none"){return null}try{var i=this.div1.style,h=this.div2.style;i.cssText=j;h.cssText="";for(var g in a.safeStyles){if(a.safeStyles.hasOwnProperty(g)){var k=this.filterStyle(g,i[g]);if(k!=null){h[g]=k}}}j=h.cssText}catch(l){j=null}return j},filterStyle:function(g,h){if(typeof h!=="string"){return null}if(h.match(/^\s*expression/)){return null}if(h.match(/javascript:/)){return null}return(a.safeStyles[g]?h:null)},filterSize:function(g){if(e.fontsize==="none"){return null}if(e.fontsize!=="all"){g=Math.min(Math.max(g,a.sizeMin),a.sizeMax)}return g},filterFontSize:function(g){return(e.fontsize==="all"?g:null)},filterSizeMultiplier:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.min(1,Math.max(0.6,g)).toString()}}return g},filterScriptLevel:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.max(0,g).toString()}}return g},filterRequire:function(g){if(e.require==="none"||(e.require!=="all"&&!a.safeRequire[g.toLowerCase()])){g=null}return g}};d.Register.StartupHook("TeX HTML Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({HREF_attribute:function(j){var i=b.filterURL(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({href:i})}this.Push(h)},CLASS_attribute:function(i){var j=b.filterClass(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h["class"]!=null){j=h["class"]+" "+j}h.With({"class":j})}this.Push(h)},STYLE_attribute:function(i){var j=b.filterStyles(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h.style!=null){if(j.charAt(j.length-1)!==";"){j+=";"}j=h.style+" "+j}h.With({style:j})}this.Push(h)},ID_attribute:function(j){var i=b.filterID(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({id:i})}this.Push(h)}})});d.Register.StartupHook("TeX Jax Ready",function(){var i=MathJax.InputJax.TeX,h=i.Parse,g=b.filter;h.Augment({Require:function(j){var k=this.GetArgument(j).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");k=b.filterRequire(k);if(k){this.Extension(null,k)}},MmlFilterAttribute:function(j,k){if(g[j]){k=b[g[j]](k)}return k},SetSize:function(j,k){k=b.filterSize(k);if(k){this.stack.env.size=k;this.Push(i.Stack.Item.style().With({styles:{mathsize:k+"em"}}))}}})});d.Register.StartupHook("TeX bbox Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({BBoxStyle:function(h){return b.filterStyles(h)}})});d.Register.StartupHook("MathML Jax Ready",function(){var h=MathJax.InputJax.MathML.Parse,g=b.filter;h.Augment({filterAttribute:function(i,j){if(g[i]){j=b[g[i]](j)}return j}})});d.Startup.signal.Post("Safe Extension Ready");c.loadComplete("[MathJax]/extensions/Safe.js")})(MathJax.Hub,MathJax.Ajax);
+(function(d,c){var f="2.4-beta";var a=MathJax.Hub.CombineConfig("Safe",{allow:{URLs:"safe",classes:"safe",cssIDs:"safe",styles:"safe",fontsize:"all",require:"safe"},sizeMin:0.7,sizeMax:1.44,safeProtocols:{http:true,https:true,file:true,javascript:false},safeStyles:{color:true,backgroundColor:true,border:true,cursor:true,margin:true,padding:true,textShadow:true,fontFamily:true,fontSize:true,fontStyle:true,fontWeight:true,opacity:true,outline:true},safeRequire:{action:true,amscd:true,amsmath:true,amssymbols:true,autobold:false,"autoload-all":false,bbox:true,begingroup:true,boldsymbol:true,cancel:true,color:true,enclose:true,extpfeil:true,HTML:true,mathchoice:true,mhchem:true,newcommand:true,noErrors:false,noUndefined:false,unicode:true,verb:true}});var e=a.allow;if(e.fontsize!=="all"){a.safeStyles.fontSize=false}var b=MathJax.Extension.Safe={version:f,config:a,div1:document.createElement("div"),div2:document.createElement("div"),filter:{href:"filterURL",src:"filterURL",altimg:"filterURL","class":"filterClass",style:"filterStyles",id:"filterID",fontsize:"filterFontSize",mathsize:"filterFontSize",scriptminsize:"filterFontSize",scriptsizemultiplier:"filterSizeMultiplier",scriptlevel:"filterScriptLevel"},filterURL:function(g){var h=(g.match(/^\s*([a-z]+):/i)||[null,""])[1].toLowerCase();if(e.URLs==="none"||(e.URLs!=="all"&&!a.safeProtocols[h])){g=null}return g},filterClass:function(g){if(e.classes==="none"||(e.classes!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterID:function(g){if(e.cssIDs==="none"||(e.cssIDs!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterStyles:function(j){if(e.styles==="all"){return j}if(e.styles==="none"){return null}try{var i=this.div1.style,h=this.div2.style;i.cssText=j;h.cssText="";for(var g in a.safeStyles){if(a.safeStyles.hasOwnProperty(g)){var k=this.filterStyle(g,i[g]);if(k!=null){h[g]=k}}}j=h.cssText}catch(l){j=null}return j},filterStyle:function(g,h){if(typeof h!=="string"){return null}if(h.match(/^\s*expression/)){return null}if(h.match(/javascript:/)){return null}return(a.safeStyles[g]?h:null)},filterSize:function(g){if(e.fontsize==="none"){return null}if(e.fontsize!=="all"){g=Math.min(Math.max(g,a.sizeMin),a.sizeMax)}return g},filterFontSize:function(g){return(e.fontsize==="all"?g:null)},filterSizeMultiplier:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.min(1,Math.max(0.6,g)).toString()}}return g},filterScriptLevel:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.max(0,g).toString()}}return g},filterRequire:function(g){if(e.require==="none"||(e.require!=="all"&&!a.safeRequire[g.toLowerCase()])){g=null}return g}};d.Register.StartupHook("TeX HTML Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({HREF_attribute:function(j){var i=b.filterURL(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({href:i})}this.Push(h)},CLASS_attribute:function(i){var j=b.filterClass(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h["class"]!=null){j=h["class"]+" "+j}h.With({"class":j})}this.Push(h)},STYLE_attribute:function(i){var j=b.filterStyles(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h.style!=null){if(j.charAt(j.length-1)!==";"){j+=";"}j=h.style+" "+j}h.With({style:j})}this.Push(h)},ID_attribute:function(j){var i=b.filterID(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({id:i})}this.Push(h)}})});d.Register.StartupHook("TeX Jax Ready",function(){var i=MathJax.InputJax.TeX,h=i.Parse,g=b.filter;h.Augment({Require:function(j){var k=this.GetArgument(j).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");k=b.filterRequire(k);if(k){this.Extension(null,k)}},MmlFilterAttribute:function(j,k){if(g[j]){k=b[g[j]](k)}return k},SetSize:function(j,k){k=b.filterSize(k);if(k){this.stack.env.size=k;this.Push(i.Stack.Item.style().With({styles:{mathsize:k+"em"}}))}}})});d.Register.StartupHook("TeX bbox Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({BBoxStyle:function(h){return b.filterStyles(h)}})});d.Register.StartupHook("MathML Jax Ready",function(){var h=MathJax.InputJax.MathML.Parse,g=b.filter;h.Augment({filterAttribute:function(i,j){if(g[i]){j=b[g[i]](j)}return j}})});d.Startup.signal.Post("Safe Extension Ready");c.loadComplete("[MathJax]/extensions/Safe.js")})(MathJax.Hub,MathJax.Ajax);
diff --git a/extensions/TeX/AMScd.js b/extensions/TeX/AMScd.js
index dc112cbc8..679041961 100644
--- a/extensions/TeX/AMScd.js
+++ b/extensions/TeX/AMScd.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/AMScd"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.25em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string[this.i];if(!l.match(/[><VA.|=]/)){return this.Other(g)}else{this.i++}var o=this.stack.Top();if(!o.isa(d.array)||o.data.length){this.CD_cell(g)}var q=((o.table.length%2)===1);var i=(o.row.length+(q?0:1))%2;while(i){this.CD_cell(g);i--}var h;var f={minsize:o.minw,stretchy:true},k={minsize:o.minh,stretchy:true,symmetric:true};if(l==="."){}else{if(l==="|"){h=this.mmlToken(b.mo("\u2225").With(k))}else{if(l==="="){h=this.mmlToken(b.mo("=").With(f))}else{var r={">":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js");
+MathJax.Extension["TeX/AMScd"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string.charAt(this.i);if(!l.match(/[><VA.|=]/)){return this.Other(g)}else{this.i++}var o=this.stack.Top();if(!o.isa(d.array)||o.data.length){this.CD_cell(g)}var q=((o.table.length%2)===1);var i=(o.row.length+(q?0:1))%2;while(i){this.CD_cell(g);i--}var h;var f={minsize:o.minw,stretchy:true},k={minsize:o.minh,stretchy:true,symmetric:true,lspace:0,rspace:0};if(l==="."){}else{if(l==="|"){h=this.mmlToken(b.mo("\u2225").With(k))}else{if(l==="="){h=this.mmlToken(b.mo("=").With(f))}else{var r={">":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){var g=this.stack.Top();if((g.table||[]).length%2===0&&(g.row||[]).length===0){this.Push(b.mpadded().With({height:"8.5pt",depth:"2pt"}))}this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js");
diff --git a/extensions/TeX/AMSmath.js b/extensions/TeX/AMSmath.js
index 03440c3fb..80c20a72b 100644
--- a/extensions/TeX/AMSmath.js
+++ b/extensions/TeX/AMSmath.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/AMSmath"]={version:"2.3",number:0,startNumber:0,labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]="???"}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k="??";f.badref=!f.refUpdate}var h=k;if(l){h=a.formatTag(h)}if(a.useLabelIds){k=i}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(a.formatID(k)),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"\\limits":"");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"\\limits":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h.With({id:a.formatID(i.tagID)}))}},getTag:function(){var i=this.global,h=i.tag;i.tagged=true;if(i.label){f.eqlabels[i.label]=i.tagID;if(a.useLabelIds){h.id=a.formatID(i.label)}}delete i.tag;delete i.tagID;delete i.label;return h}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.4-beta",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,g=MathJax.InputJax.TeX,f=MathJax.Extension["TeX/AMSmath"];var d=g.Definitions,e=g.Stack.Item,a=g.config.equationNumbers;var c=function(j){var l=[];for(var k=0,h=j.length;k<h;k++){l[k]=g.Parse.prototype.Em(j[k])}return l.join(" ")};d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}\\Rule{-1pt}{0pt}{1pt}}\\Rule{0pt}{0pt}{.45em}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0em",""],tbinom:["Genfrac","(",")","0em",1],dbinom:["Genfrac","(",")","0em",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([5/18])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedArray",null,null,null,"rlrlrlrlrlrl",c([5/18,2,5/18,2,5/18,2,5/18,2,5/18,2,5/18]),".5em","D"],gathered:["AlignedArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0,0,0,0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl",b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["2223",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["2223",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2225",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2225",{texClass:b.TEXCLASS.CLOSE}]}},null,true);g.Parse.Augment({HandleTag:function(j){var l=this.GetStar();var i=this.trimSpaces(this.GetArgument(j)),h=i;if(!l){i=a.formatTag(i)}var k=this.stack.global;k.tagID=h;if(k.notags){g.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",j,k.notags])}if(k.tag){g.Error(["MultipleCommand","Multiple %1",j])}k.tag=b.mtd.apply(b,this.InternalMath(i)).With({id:a.formatID(h)})},HandleNoTag:function(h){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(i){var j=this.stack.global,h=this.GetArgument(i);if(h===""){return}if(!f.refUpdate){if(j.label){g.Error(["MultipleCommand","Multiple %1",i])}j.label=h;if(f.labels[h]||f.eqlabels[h]){g.Error(["MultipleLabel","Label '%1' multiply defined",h])}f.eqlabels[h]={tag:"???",id:""}}},HandleRef:function(j,l){var i=this.GetArgument(j);var k=f.labels[i]||f.eqlabels[i];if(!k){k={tag:"???",id:""};f.badref=!f.refUpdate}var h=k.tag;if(l){h=a.formatTag(h)}this.Push(b.mrow.apply(b,this.InternalMath(h)).With({href:a.formatURL(k.id),"class":"MathJax_ref"}))},HandleDeclareOp:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));if(j.charAt(0)=="\\"){j=j.substr(1)}var k=this.GetArgument(i);k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");g.Definitions.macros[j]=["Macro","\\mathop{\\rm "+k+"}"+h]},HandleOperatorName:function(i){var h=(this.GetStar()?"":"\\nolimits");var j=this.trimSpaces(this.GetArgument(i));j=j.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+j+"}"+h+" "+this.string.slice(this.i);this.i=0},HandleShove:function(i,h){var j=this.stack.Top();if(j.type!=="multline"||j.data.length){g.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",i])}j.data.shove=h},CFrac:function(k){var h=this.trimSpaces(this.GetBrackets(k,"")),j=this.GetArgument(k),l=this.GetArgument(k);var i=b.mfrac(g.Parse("\\strut\\textstyle{"+j+"}",this.stack.env).mml(),g.Parse("\\strut\\textstyle{"+l+"}",this.stack.env).mml());h=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[h];if(h==null){g.Error(["IllegalAlign","Illegal alignment specified in %1",k])}if(h){i.numalign=i.denomalign=h}this.Push(i)},Genfrac:function(i,k,p,m,h){if(k==null){k=this.GetDelimiterArg(i)}else{k=this.convertDelimiter(k)}if(p==null){p=this.GetDelimiterArg(i)}else{p=this.convertDelimiter(p)}if(m==null){m=this.GetArgument(i)}if(h==null){h=this.trimSpaces(this.GetArgument(i))}var l=this.ParseArg(i);var o=this.ParseArg(i);var j=b.mfrac(l,o);if(m!==""){j.linethickness=m}if(k||p){j=g.fenced(k,j,p)}if(h!==""){var n=(["D","T","S","SS"])[h];if(n==null){g.Error(["BadMathStyleFor","Bad math style for %1",i])}j=b.mstyle(j);if(n==="D"){j.displaystyle=true;j.scriptlevel=0}else{j.displaystyle=false;j.scriptlevel=h-1}}this.Push(j)},Multline:function(i,h){this.Push(i);this.checkEqnEnv();return e.multline(h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:g.config.MultLineWidth,columnwidth:"100%",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AMSarray:function(j,i,h,l,k){this.Push(j);if(h){this.checkEqnEnv()}l=l.replace(/[^clr]/g,"").split("").join(" ");l=l.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return e.AMSarray(j.name,i,h,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:l,columnspacing:(k||"1em"),rowspacing:"3pt",side:g.config.TagSide,minlabelspacing:g.config.TagIndent}})},AlignAt:function(k,i,h){var p,j,o="",m=[];if(!h){j=this.GetBrackets("\\begin{"+k.name+"}")}p=this.GetArgument("\\begin{"+k.name+"}");if(p.match(/[^0-9]/)){g.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+k.name+"}"])}while(p>0){o+="rl";m.push("0em 0em");p--}m=m.join(" ");if(h){return this.AMSarray(k,i,h,o,m)}var l=this.Array.call(this,k,null,null,o,m,".5em","D");return this.setArrayAlign(l,j)},EquationBegin:function(h,i){this.checkEqnEnv();this.stack.global.forcetag=(i&&a.autoNumber!=="none");return h},EquationStar:function(h,i){this.stack.global.tagged=true;return i},checkEqnEnv:function(){if(this.stack.global.eqnenv){g.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(h,l){var k=this.GetNext();if(k==="\\"){var j=this.i;k=this.GetArgument(h);this.i=j;if(k==="\\limits"){if(h==="\\idotsint"){l="\\!\\!\\mathop{\\,\\,"+l+"}"}else{l="\\!\\!\\!\\mathop{\\,\\,\\,"+l+"}"}}}this.string=l+" "+this.string.slice(this.i);this.i=0},xArrow:function(j,n,m,h){var k={width:"+"+(m+h)+"mu",lspace:m+"mu"};var o=this.GetBrackets(j),p=this.ParseArg(j);var q=b.mo(b.chars(String.fromCharCode(n))).With({stretchy:true,texClass:b.TEXCLASS.REL});var i=b.munderover(q);i.SetData(i.over,b.mpadded(p).With(k).With({voffset:".15em"}));if(o){o=g.Parse(o,this.stack.env).mml();i.SetData(i.under,b.mpadded(o).With(k).With({voffset:"-.24em"}))}this.Push(i)},GetDelimiterArg:function(h){var i=this.trimSpaces(this.GetArgument(h));if(i==""){return null}if(d.delimiter[i]==null){g.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",h])}return this.convertDelimiter(i)},GetStar:function(){var h=(this.GetNext()==="*");if(h){this.i++}return h}});e.Augment({autoTag:function(){var i=this.global;if(!i.notag){f.number++;i.tagID=a.formatNumber(f.number.toString());var h=g.Parse("\\text{"+a.formatTag(i.tagID)+"}",{}).mml();i.tag=b.mtd(h).With({id:a.formatID(i.tagID)})}},getTag:function(){var l=this.global,j=l.tag;l.tagged=true;if(l.label){if(a.useLabelIds){j.id=a.formatID(l.label)}f.eqlabels[l.label]={tag:l.tagID,id:j.id}}if(document.getElementById(j.id)||f.IDs[j.id]||f.eqIDs[j.id]){var k=0,h;do{k++;h=j.id+"_"+k}while(document.getElementById(h)||f.IDs[h]||f.eqIDs[h]);j.id=h;if(l.label){f.eqlabels[l.label].id=h}}f.eqIDs[j.id]=1;this.clearTag();return j},clearTag:function(){var h=this.global;delete h.tag;delete h.tagID;delete h.label},fixInitialMO:function(l){for(var k=0,h=l.length;k<h;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){var j=l[k].CoreMO();j.form=b.FORM.INFIX;j.lspace=0}break}}}});e.multline=e.array.Subclass({type:"multline",Init:function(i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(i&&a.autoNumber!=="none");this.save={notag:h.global.notag};h.global.tagged=!i&&!h.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var h=b.mtd.apply(b,this.data);if(this.data.shove){h.columnalign=this.data.shove}this.row.push(h);this.data=[]},EndRow:function(){if(this.row.length!=1){g.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var j=this.table.length-1,l,k=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[j][0].columnalign){this.table[j][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){k=(this.arraydef.side==="left"?0:this.table.length-1);this.table[k]=[this.getTag()].concat(this.table[k])}for(l=0,j=this.table.length;l<j;l++){var h=(l===k?b.mlabeledtr:b.mtr);this.table[l]=h.apply(b,this.table[l])}}this.global.notag=this.save.notag}});e.AMSarray=e.array.Subclass({type:"AMSarray",Init:function(k,j,i,h){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notags:h.global.notags,notag:h.global.notag};h.global.notags=(i?null:k);h.global.tagged=!j&&!h.global.forcetag},EndEntry:function(){if(this.row.length){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var h=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);h=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(h.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});e.start.Augment({oldCheckItem:e.start.prototype.checkItem,checkItem:function(j){if(j.type==="stop"){var h=this.mmlData(),i=this.global;if(f.display&&!i.tag&&!i.tagged&&!i.isInner&&(a.autoNumber==="all"||i.forcetag)){this.autoTag()}if(i.tag){var l=[this.getTag(),b.mtd(h)];var k={side:g.config.TagSide,minlabelspacing:g.config.TagIndent,columnalign:h.displayAlign};if(h.displayAlign===b.INDENTALIGN.LEFT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth=h.displayIndent+" fit";k.columnspacing="0";l=[l[0],b.mtd(),l[1]]}}else{if(h.displayAlign===b.INDENTALIGN.RIGHT){k.width="100%";if(h.displayIndent&&!String(h.displayIndent).match(/^0+(\.0*)?($|[a-z%])/)){k.columnwidth="fit "+h.displayIndent;k.columnspacing="0";l[2]=b.mtd()}}}h=b.mtable(b.mlabeledtr.apply(b,l)).With(k)}return e.mml(h)}return this.oldCheckItem.call(this,j)}});g.prefilterHooks.Add(function(h){f.display=h.display;f.number=f.startNumber;f.eqlabels=f.eqIDs={};f.badref=false;if(f.refUpdate){f.number=h.script.MathJax.startNumber}});g.postfilterHooks.Add(function(h){h.script.MathJax.startNumber=f.startNumber;f.startNumber=f.number;MathJax.Hub.Insert(f.IDs,f.eqIDs);MathJax.Hub.Insert(f.labels,f.eqlabels);if(f.badref&&!h.math.texError){f.refs.push(h.script)}});MathJax.Hub.Register.MessageHook("Begin Math Input",function(){f.refs=[];f.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(k){if(f.refs.length){f.refUpdate=true;for(var j=0,h=f.refs.length;j<h;j++){f.refs[j].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:f.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});g.resetEquationNumbers=function(i,h){f.startNumber=(i||0);if(!h){f.labels=f.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
diff --git a/extensions/TeX/AMSsymbols.js b/extensions/TeX/AMSsymbols.js
index c33d0c056..18bcfaacc 100644
--- a/extensions/TeX/AMSsymbols.js
+++ b/extensions/TeX/AMSsymbols.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:"22C5",divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
diff --git a/extensions/TeX/HTML.js b/extensions/TeX/HTML.js
index e81202884..cb99e035d 100644
--- a/extensions/TeX/HTML.js
+++ b/extensions/TeX/HTML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/HTML"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{href:"HREF_attribute","class":"CLASS_attribute",style:"STYLE_attribute",cssId:"ID_attribute"}},null,true);b.Parse.Augment({HREF_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({href:d}))},CLASS_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c["class"]!=null){e=c["class"]+" "+e}this.Push(c.With({"class":e}))},STYLE_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c.style!=null){if(e.charAt(e.length-1)!==";"){e+=";"}e=c.style+" "+e}this.Push(c.With({style:e}))},ID_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({id:d}))},GetArgumentMML:function(d){var c=this.ParseArg(d);if(c.inferred&&c.data.length==1){c=c.data[0]}else{delete c.inferred}return c}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
+MathJax.Extension["TeX/HTML"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{href:"HREF_attribute","class":"CLASS_attribute",style:"STYLE_attribute",cssId:"ID_attribute"}},null,true);b.Parse.Augment({HREF_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({href:d}))},CLASS_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c["class"]!=null){e=c["class"]+" "+e}this.Push(c.With({"class":e}))},STYLE_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c.style!=null){if(e.charAt(e.length-1)!==";"){e+=";"}e=c.style+" "+e}this.Push(c.With({style:e}))},ID_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({id:d}))},GetArgumentMML:function(d){var c=this.ParseArg(d);if(c.inferred&&c.data.length==1){c=c.data[0]}else{delete c.inferred}return c}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
diff --git a/extensions/TeX/action.js b/extensions/TeX/action.js
index 975efc0c7..71296b09a 100644
--- a/extensions/TeX/action.js
+++ b/extensions/TeX/action.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/action"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\\text{#2}}",2]}},null,true);b.Parse.Augment({Toggle:function(d){var e=[],c;while((c=this.GetArgument(d))!=="\\endtoggle"){e.push(b.Parse(c,this.stack.env).mml())}this.Push(a.maction.apply(a,e).With({actiontype:a.ACTIONTYPE.TOGGLE}))},Mathtip:function(d){var c=this.ParseArg(d),e=this.ParseArg(d);this.Push(a.maction(c,e).With({actiontype:a.ACTIONTYPE.TOOLTIP}))}});MathJax.Hub.Startup.signal.Post("TeX action Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/action.js");
+MathJax.Extension["TeX/action"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\\text{#2}}",2]}},null,true);b.Parse.Augment({Toggle:function(d){var e=[],c;while((c=this.GetArgument(d))!=="\\endtoggle"){e.push(b.Parse(c,this.stack.env).mml())}this.Push(a.maction.apply(a,e).With({actiontype:a.ACTIONTYPE.TOGGLE}))},Mathtip:function(d){var c=this.ParseArg(d),e=this.ParseArg(d);this.Push(a.maction(c,e).With({actiontype:a.ACTIONTYPE.TOOLTIP}))}});MathJax.Hub.Startup.signal.Post("TeX action Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/action.js");
diff --git a/extensions/TeX/autobold.js b/extensions/TeX/autobold.js
index b382ffa5e..a60b8cdef 100644
--- a/extensions/TeX/autobold.js
+++ b/extensions/TeX/autobold.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/autobold"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.InputJax.TeX;a.prefilterHooks.Add(function(d){var c=d.script.parentNode.insertBefore(document.createElement("span"),d.script);c.visibility="hidden";c.style.fontFamily="Times, serif";c.appendChild(document.createTextNode("ABCXYZabcxyz"));var b=c.offsetWidth;c.style.fontWeight="bold";if(b&&c.offsetWidth===b){d.math="\\boldsymbol{"+d.math+"}"}c.parentNode.removeChild(c)});MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
+MathJax.Extension["TeX/autobold"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.InputJax.TeX;a.prefilterHooks.Add(function(d){var c=d.script.parentNode.insertBefore(document.createElement("span"),d.script);c.visibility="hidden";c.style.fontFamily="Times, serif";c.appendChild(document.createTextNode("ABCXYZabcxyz"));var b=c.offsetWidth;c.style.fontWeight="bold";if(b&&c.offsetWidth===b){d.math="\\boldsymbol{"+d.math+"}"}c.parentNode.removeChild(c)});MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
diff --git a/extensions/TeX/autoload-all.js b/extensions/TeX/autoload-all.js
index 082362c67..3c62aecc4 100644
--- a/extensions/TeX/autoload-all.js
+++ b/extensions/TeX/autoload-all.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/autoload-all"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var h={action:["mathtip","texttip","toggle"],AMSmath:["mathring","nobreakspace","negmedspace","negthickspace","intI","iiiint","idotsint","dddot","ddddot","sideset","boxed","substack","injlim","projlim","varliminf","varlimsup","varinjlim","varprojlim","DeclareMathOperator","operatorname","genfrac","tfrac","dfrac","binom","tbinom","dbinom","cfrac","shoveleft","shoveright","xrightarrow","xleftarrow"],begingroup:["begingroup","endgroup","gdef","global"],cancel:["cancel","bcancel","xcancel","cancelto"],color:["color","textcolor","colorbox","fcolorbox","DefineColor"],enclose:["enclose"],extpfeil:["Newextarrow","xlongequal","xmapsto","xtofrom","xtwoheadleftarrow","xtwoheadrightarrow"],mhchem:["ce","cee","cf"]};var c={AMSmath:["subarray","smallmatrix","equation","equation*"],AMScd:["CD"]};var d,g,b,a={macros:{},environment:{}};for(d in h){if(h.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var f=h[d];for(g=0,b=f.length;g<b;g++){a.macros[f[g]]=["Extension",d]}}}}for(d in c){if(c.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var e=c[d];for(g=0,b=e.length;g<b;g++){a.environment[e[g]]=["ExtensionEnv",null,d]}}}}MathJax.InputJax.TeX.Definitions.Add(a);MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready")});MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/TeX/AMSsymbols.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/autoload-all.js"]);
+MathJax.Extension["TeX/autoload-all"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var h={action:["mathtip","texttip","toggle"],AMSmath:["mathring","nobreakspace","negmedspace","negthickspace","intI","iiiint","idotsint","dddot","ddddot","sideset","boxed","substack","injlim","projlim","varliminf","varlimsup","varinjlim","varprojlim","DeclareMathOperator","operatorname","genfrac","tfrac","dfrac","binom","tbinom","dbinom","cfrac","shoveleft","shoveright","xrightarrow","xleftarrow"],begingroup:["begingroup","endgroup","gdef","global"],cancel:["cancel","bcancel","xcancel","cancelto"],color:["color","textcolor","colorbox","fcolorbox","DefineColor"],enclose:["enclose"],extpfeil:["Newextarrow","xlongequal","xmapsto","xtofrom","xtwoheadleftarrow","xtwoheadrightarrow"],mhchem:["ce","cee","cf"]};var c={AMSmath:["subarray","smallmatrix","equation","equation*"],AMScd:["CD"]};var d,g,b,a={macros:{},environment:{}};for(d in h){if(h.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var f=h[d];for(g=0,b=f.length;g<b;g++){a.macros[f[g]]=["Extension",d]}}}}for(d in c){if(c.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var e=c[d];for(g=0,b=e.length;g<b;g++){a.environment[e[g]]=["ExtensionEnv",null,d]}}}}MathJax.InputJax.TeX.Definitions.Add(a);MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready")});MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/TeX/AMSsymbols.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/autoload-all.js"]);
diff --git a/extensions/TeX/bbox.js b/extensions/TeX/bbox.js
index e34d40aa2..f8bdf585b 100644
--- a/extensions/TeX/bbox.js
+++ b/extensions/TeX/bbox.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/bbox"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{bbox:"BBox"}},null,true);b.Parse.Augment({BBox:function(e){var n=this.GetBrackets(e,""),m=this.ParseArg(e);var j=n.split(/,/),g,d,c;for(var k in j){var f=j[k].replace(/^\s+/,"").replace(/\s+$/,"");var l=f.match(/^(\.\d+|\d+(\.\d*)?)(pt|em|ex|mu|px|in|cm|mm)$/);if(l){if(g){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Padding",e])}var h=l[1]+l[3];g={height:"+"+h,depth:"+"+h,lspace:h,width:"+"+(2*l[1])+l[3]}}else{if(f.match(/^([a-z0-9]+|\#[0-9a-f]{6}|\#[0-9a-f]{3})$/i)){if(d){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Background",e])}d=f}else{if(f.match(/^[-a-z]+:/i)){if(c){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Style",e])}c=this.BBoxStyle(f)}else{if(f!==""){b.Error(["InvalidBBoxProperty","'%1' doesn't look like a color, a padding dimension, or a style",f])}}}}}if(g){m=a.mpadded(m).With(g)}if(d||c){m=a.mstyle(m).With({mathbackground:d,style:c})}this.Push(m)},BBoxStyle:function(c){return c}});MathJax.Hub.Startup.signal.Post("TeX bbox Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/bbox.js");
+MathJax.Extension["TeX/bbox"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{bbox:"BBox"}},null,true);b.Parse.Augment({BBox:function(e){var p=this.GetBrackets(e,""),o=this.ParseArg(e);var k=p.split(/,/),g,d,c;for(var l=0,j=k.length;l<j;l++){var f=k[l].replace(/^\s+/,"").replace(/\s+$/,"");var n=f.match(/^(\.\d+|\d+(\.\d*)?)(pt|em|ex|mu|px|in|cm|mm)$/);if(n){if(g){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Padding",e])}var h=n[1]+n[3];g={height:"+"+h,depth:"+"+h,lspace:h,width:"+"+(2*n[1])+n[3]}}else{if(f.match(/^([a-z0-9]+|\#[0-9a-f]{6}|\#[0-9a-f]{3})$/i)){if(d){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Background",e])}d=f}else{if(f.match(/^[-a-z]+:/i)){if(c){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Style",e])}c=this.BBoxStyle(f)}else{if(f!==""){b.Error(["InvalidBBoxProperty","'%1' doesn't look like a color, a padding dimension, or a style",f])}}}}}if(g){o=a.mpadded(o).With(g)}if(d||c){o=a.mstyle(o).With({mathbackground:d,style:c})}this.Push(o)},BBoxStyle:function(c){return c}});MathJax.Hub.Startup.signal.Post("TeX bbox Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/bbox.js");
diff --git a/extensions/TeX/begingroup.js b/extensions/TeX/begingroup.js
index 1d3343699..929228d4d 100644
--- a/extensions/TeX/begingroup.js
+++ b/extensions/TeX/begingroup.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/begingroup"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f][e]){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!(h instanceof Array)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:["Extension","newcommand"],gdef:["Extension","newcommand"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Register.StartupHook("TeX newcommand Ready",function(){b.Add({macros:{global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}})});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");
+MathJax.Extension["TeX/begingroup"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f][e]){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!(h instanceof Array)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:["Extension","newcommand"],gdef:["Extension","newcommand"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Register.StartupHook("TeX newcommand Ready",function(){b.Add({macros:{global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}})});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");
diff --git a/extensions/TeX/boldsymbol.js b/extensions/TeX/boldsymbol.js
index 2ecff24e3..d1a706258 100644
--- a/extensions/TeX/boldsymbol.js
+++ b/extensions/TeX/boldsymbol.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/boldsymbol"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
+MathJax.Extension["TeX/boldsymbol"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
diff --git a/extensions/TeX/cancel.js b/extensions/TeX/cancel.js
index ffdf56975..4b8f3b8bf 100644
--- a/extensions/TeX/cancel.js
+++ b/extensions/TeX/cancel.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/cancel"]={version:"2.3",ALLOWED:{color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(h,e){if(e!==""){e=e.replace(/ /g,"").split(/,/);for(var g=0,d=e.length;g<d;g++){var f=e[g].split(/[:=]/);if(b.ALLOWED[f[0]]){if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}h[f[0]]=f[1]}}}return h};c.Definitions.Add({macros:{cancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE],bcancel:["Cancel",a.NOTATION.DOWNDIAGONALSTRIKE],xcancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.DOWNDIAGONALSTRIKE],cancelto:"CancelTo"}},null,true);c.Parse.Augment({Cancel:function(e,g){var d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:g},d);this.Push(a.menclose(f).With(h))},CancelTo:function(e,g){var i=this.ParseArg(e),d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.UPDIAGONALARROW},d);i=a.mpadded(i).With({depth:"-.1em",height:"+.1em",voffset:".1em"});this.Push(a.msup(a.menclose(f).With(h),i))}});MathJax.Hub.Startup.signal.Post("TeX cancel Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/cancel.js");
+MathJax.Extension["TeX/cancel"]={version:"2.4-beta",ALLOWED:{color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(h,e){if(e!==""){e=e.replace(/ /g,"").split(/,/);for(var g=0,d=e.length;g<d;g++){var f=e[g].split(/[:=]/);if(b.ALLOWED[f[0]]){if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}h[f[0]]=f[1]}}}return h};c.Definitions.Add({macros:{cancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE],bcancel:["Cancel",a.NOTATION.DOWNDIAGONALSTRIKE],xcancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.DOWNDIAGONALSTRIKE],cancelto:"CancelTo"}},null,true);c.Parse.Augment({Cancel:function(e,g){var d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:g},d);this.Push(a.menclose(f).With(h))},CancelTo:function(e,g){var i=this.ParseArg(e),d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.UPDIAGONALARROW},d);i=a.mpadded(i).With({depth:"-.1em",height:"+.1em",voffset:".1em"});this.Push(a.msup(a.menclose(f).With(h),i))}});MathJax.Hub.Startup.signal.Post("TeX cancel Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/cancel.js");
diff --git a/extensions/TeX/color.js b/extensions/TeX/color.js
index 29e94b91a..a302872a6 100644
--- a/extensions/TeX/color.js
+++ b/extensions/TeX/color.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/color"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.color",{padding:"5px",border:"2px"}),colors:{Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",LimeGreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"},getColor:function(a,c){if(!a){a="named"}var b=this["get_"+a];if(!b){this.TEX.Error(["UndefinedColorModel","Color model '%1' not defined",a])}return b.call(this,c)},get_rgb:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","rgb"])}for(var c=0;c<3;c++){if(!b[c].match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","rgb",0,1])}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","RGB"])}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error(["InvalidNumber","Invalid number"])}var d=parseInt(b[c]);if(d>255){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","RGB",0,255])}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","gray",0,1])}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors[a]){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js");
+MathJax.Extension["TeX/color"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.color",{padding:"5px",border:"2px"}),colors:{Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",LimeGreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"},getColor:function(a,c){if(!a){a="named"}var b=this["get_"+a];if(!b){this.TEX.Error(["UndefinedColorModel","Color model '%1' not defined",a])}return b.call(this,c)},get_rgb:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","rgb"])}for(var c=0;c<3;c++){if(!b[c].match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","rgb",0,1])}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","RGB"])}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error(["InvalidNumber","Invalid number"])}var d=parseInt(b[c]);if(d>255){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","RGB",0,255])}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","gray",0,1])}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors[a]){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js");
diff --git a/extensions/TeX/enclose.js b/extensions/TeX/enclose.js
index b9ca76a70..d9f4c8916 100644
--- a/extensions/TeX/enclose.js
+++ b/extensions/TeX/enclose.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/enclose"]={version:"2.3",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.Add({macros:{enclose:"Enclose"}},null,true);c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){f[1]=f[1].replace(/^"(.*)"$/,"$1");if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}l[f[0]]=f[1]}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");
+MathJax.Extension["TeX/enclose"]={version:"2.4-beta",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.Add({macros:{enclose:"Enclose"}},null,true);c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){f[1]=f[1].replace(/^"(.*)"$/,"$1");if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}if(f[0]==="arrow"&&f[1]){l.notation=l.notation+" updiagonalarrow"}else{l[f[0]]=f[1]}}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");
diff --git a/extensions/TeX/extpfeil.js b/extensions/TeX/extpfeil.js
index 46bb405fc..53447a279 100644
--- a/extensions/TeX/extpfeil.js
+++ b/extensions/TeX/extpfeil.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/extpfeil"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;a.Add({macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}},null,true);MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["xArrow",8608,12,16],xtwoheadleftarrow:["xArrow",8606,17,13],xmapsto:["xArrow",8614,6,7],xlongequal:["xArrow",61,7,7],xtofrom:["xArrow",8644,12,12],Newextarrow:"NewExtArrow"}})});b.Parse.Augment({NewExtArrow:function(c){var e=this.GetArgument(c),f=this.GetArgument(c),d=this.GetArgument(c);if(!e.match(/^\\([a-z]+|.)$/i)){b.Error(["NewextarrowArg1","First argument to %1 must be a control sequence name",c])}if(!f.match(/^(\d+),(\d+)$/)){b.Error(["NewextarrowArg2","Second argument to %1 must be two integers separated by a comma",c])}if(!d.match(/^(\d+|0x[0-9A-F]+)$/i)){b.Error(["NewextarrowArg3","Third argument to %1 must be a unicode character number",c])}e=e.substr(1);f=f.split(",");d=parseInt(d);a.macros[e]=["xArrow",d,parseInt(f[0]),parseInt(f[1])]}});MathJax.Hub.Startup.signal.Post("TeX extpfeil Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/extpfeil.js");
+MathJax.Extension["TeX/extpfeil"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;a.Add({macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}},null,true);MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["xArrow",8608,12,16],xtwoheadleftarrow:["xArrow",8606,17,13],xmapsto:["xArrow",8614,6,7],xlongequal:["xArrow",61,7,7],xtofrom:["xArrow",8644,12,12],Newextarrow:"NewExtArrow"}})});b.Parse.Augment({NewExtArrow:function(c){var e=this.GetArgument(c),f=this.GetArgument(c),d=this.GetArgument(c);if(!e.match(/^\\([a-z]+|.)$/i)){b.Error(["NewextarrowArg1","First argument to %1 must be a control sequence name",c])}if(!f.match(/^(\d+),(\d+)$/)){b.Error(["NewextarrowArg2","Second argument to %1 must be two integers separated by a comma",c])}if(!d.match(/^(\d+|0x[0-9A-F]+)$/i)){b.Error(["NewextarrowArg3","Third argument to %1 must be a unicode character number",c])}e=e.substr(1);f=f.split(",");d=parseInt(d);a.macros[e]=["xArrow",d,parseInt(f[0]),parseInt(f[1])]}});MathJax.Hub.Startup.signal.Post("TeX extpfeil Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/extpfeil.js");
diff --git a/extensions/TeX/mathchoice.js b/extensions/TeX/mathchoice.js
index 0f6acb3f8..8aeeb4fa0 100644
--- a/extensions/TeX/mathchoice.js
+++ b/extensions/TeX/mathchoice.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",notParent:true,choice:function(){if(this.selection==null){this.selection=0;var e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){this.selection=Math.min(3,e.scriptlevel+1)}else{this.selection=(e.displaystyle?0:1)}}return this.selection},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",notParent:true,choice:function(){if(this.selection==null){this.selection=0;var e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){this.selection=Math.min(3,e.scriptlevel+1)}else{this.selection=(e.displaystyle?0:1)}}return this.selection},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
diff --git a/extensions/TeX/mhchem.js b/extensions/TeX/mhchem.js
index bd98938b3..a8b86c8e0 100644
--- a/extensions/TeX/mhchem.js
+++ b/extensions/TeX/mhchem.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/mhchem"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=MathJax.Object.Subclass({string:"",i:0,tex:"",atom:false,sup:"",sub:"",Init:function(c){this.string=c},ParseTable:{"-":"Minus","+":"Plus","(":"Open",")":"Close","[":"Open","]":"Close","<":"Less","^":"Superscript",_:"Subscript","*":"Dot",".":"Dot","=":"Equal","#":"Pound","$":"Math","\\":"Macro"," ":"Space"},Arrows:{"->":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<=>":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons","^":"uparrow",v:"downarrow"},Bonds:{"-":"-","=":"=","#":"\\equiv","~":"\\tripledash","~-":"\\begin{CEstack}{}\\tripledash\\\\-\\end{CEstack}","~=":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","~--":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","-~-":"\\raise2mu{\\begin{CEstack}{}-\\\\\\tripledash\\\\-\\end{CEstack}}","...":"{\\cdot}{\\cdot}{\\cdot}","....":"{\\cdot}{\\cdot}{\\cdot}{\\cdot}","->":"\\rightarrow","<-":"\\leftarrow","??":"\\text{??}"},Parse:function(){this.tex="";this.atom=false;while(this.i<this.string.length){var d=this.string.charAt(this.i);if(d.match(/[a-z]/i)){this.ParseLetter()}else{if(d.match(/[0-9]/)){this.ParseNumber()}else{this["Parse"+(this.ParseTable[d]||"Other")](d)}}}this.FinishAtom();return this.tex},ParseLetter:function(){this.FinishAtom();if(this.Match(/^v( |$)/)){this.tex+="{\\"+this.Arrows.v+"}"}else{this.tex+="\\text{"+this.Match(/^[a-z]+/i)+"}";this.atom=true}},ParseNumber:function(){var e=this.Match(/^\d+/);if(this.atom&&!this.sub){this.sub=e}else{this.FinishAtom();var d=this.Match(/^\/\d+/);if(d){var c="\\frac{"+e+"}{"+d.substr(1)+"}";this.tex+="\\mathchoice{\\textstyle"+c+"}{"+c+"}{"+c+"}{"+c+"}"}else{this.tex+=e;if(this.i<this.string.length){this.tex+="\\,"}}}},ParseMinus:function(d){if(this.atom&&(this.i===this.string.length-1||this.string.charAt(this.i+1)===" ")){this.sup+=d}else{this.FinishAtom();if(this.string.substr(this.i,2)==="->"){this.i+=2;this.AddArrow("->");return}else{this.tex+="{-}"}}this.i++},ParsePlus:function(d){if(this.atom){this.sup+=d}else{this.FinishAtom();this.tex+=d}this.i++},ParseDot:function(d){this.FinishAtom();this.tex+="\\cdot ";this.i++},ParseEqual:function(d){this.FinishAtom();this.tex+="{=}";this.i++},ParsePound:function(d){this.FinishAtom();this.tex+="{\\equiv}";this.i++},ParseOpen:function(e){this.FinishAtom();var d=this.Match(/^\([v^]\)/);if(d){this.tex+="{\\"+this.Arrows[d.charAt(1)]+"}"}else{this.tex+="{"+e;this.i++}},ParseClose:function(d){this.FinishAtom();this.atom=true;this.tex+=d+"}";this.i++},ParseLess:function(e){this.FinishAtom();var d=this.Match(/^(<->?|<=>>?|<<=>)/);if(!d){this.tex+=e;this.i++}else{this.AddArrow(d)}},ParseSuperscript:function(f){f=this.string.charAt(++this.i);if(f==="{"){this.i++;var d=this.Find("}");if(d==="-."){this.sup+="{-}{\\cdot}"}else{if(d){this.sup+=a(d).Parse().replace(/^\{-\}/,"-")}}}else{if(f===" "||f===""){this.tex+="{\\"+this.Arrows["^"]+"}";this.i++}else{var e=this.Match(/^(\d+|-\.)/);if(e){this.sup+=e}}}},ParseSubscript:function(e){if(this.string.charAt(++this.i)=="{"){this.i++;this.sub+=a(this.Find("}")).Parse().replace(/^\{-\}/,"-")}else{var d=this.Match(/^\d+/);if(d){this.sub+=d}}},ParseMath:function(d){this.FinishAtom();this.i++;this.tex+=this.Find(d)},ParseMacro:function(f){this.FinishAtom();this.i++;var d=this.Match(/^([a-z]+|.)/i)||" ";if(d==="sbond"){this.tex+="{-}"}else{if(d==="dbond"){this.tex+="{=}"}else{if(d==="tbond"){this.tex+="{\\equiv}"}else{if(d==="bond"){var e=(this.Match(/^\{.*?\}/)||"");e=e.substr(1,e.length-2);this.tex+="{"+(this.Bonds[e]||"\\text{??}")+"}"}else{if(d==="{"){this.tex+="{\\{"}else{if(d==="}"){this.tex+="\\}}";this.atom=true}else{this.tex+=f+d}}}}}}},ParseSpace:function(d){this.FinishAtom();this.i++},ParseOther:function(d){this.FinishAtom();this.tex+=d;this.i++},AddArrow:function(e){var g=this.Match(/^[CT]\[/);if(g){this.i--;g=g.charAt(0)}var d=this.GetBracket(g),f=this.GetBracket(g);e=this.Arrows[e];if(d||f){if(f){e+="["+f+"]"}e+="{"+d+"}";e="\\mathrel{\\x"+e+"}"}else{e="\\long"+e+" "}this.tex+=e},FinishAtom:function(){if(this.sup||this.sub){if(this.sup&&this.sub&&!this.atom){var c=this.sup,d=this.sub;if(!c.match(/\d/)){c+="\\vphantom{0}"}if(!d.match(/\d/)){d+="\\vphantom{0}"}this.tex+="\\raise 1pt{\\scriptstyle\\begin{CEscriptstack}"+c+"\\\\"+d+"\\end{CEscriptstack}}\\kern-.125em "}else{if(!this.sup){this.sup="\\Space{0pt}{0pt}{.2em}"}this.tex+="^{"+this.sup+"}_{"+this.sub+"}"}this.sup=this.sub=""}this.atom=false},GetBracket:function(e){if(this.string.charAt(this.i)!=="["){return""}this.i++;var d=this.Find("]");if(e==="C"){d="\\ce{"+d+"}"}else{if(e==="T"){if(!d.match(/^\{.*\}$/)){d="{"+d+"}"}d="\\text"+d}}return d},Match:function(d){var c=d.exec(this.string.substr(this.i));if(c){c=c[0];this.i+=c.length}return c},Find:function(h){var d=this.string.length,e=this.i,g=0;while(this.i<d){var f=this.string.charAt(this.i++);if(f===h&&g===0){return this.string.substr(e,this.i-e-1)}if(f==="{"){g++}else{if(f==="}"){if(g){g--}else{b.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}}}}if(g){b.Error(["MissingCloseBrace","Missing close brace"])}b.Error(["NoClosingChar","Can't find closing %1",h])}});MathJax.Extension["TeX/mhchem"].CE=a;b.Definitions.Add({macros:{ce:"CE",cf:"CE",cee:"CE",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{{-}\\!\\!{\\rightharpoonup}}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\small\\smash\\leftharpoondown}"],longLeftrightharpoons:["Macro","\\stackrel{\\rightharpoonup}{{{\\leftharpoondown}\\!\\!\\textstyle{-}}}"],hyphen:["Macro","\\text{-}"],tripledash:["Macro","\\raise3mu{\\tiny\\text{-}\\kern2mu\\text{-}\\kern2mu\\text{-}}"]},environment:{CEstack:["Array",null,null,null,"r",null,"0.001em","T",1],CEscriptstack:["Array",null,null,null,"r",null,"0.2em","S",1]}},null,true);if(!MathJax.Extension["TeX/AMSmath"]){b.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}},null,true)}MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){b.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}},null,true)});b.Parse.Augment({CE:function(e){var c=this.GetArgument(e);var d=a(c).Parse();this.string=d+this.string.substr(this.i);this.i=0}});MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js");
+MathJax.Extension["TeX/mhchem"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=MathJax.Object.Subclass({string:"",i:0,tex:"",atom:false,sup:"",sub:"",Init:function(c){this.string=c},ParseTable:{"-":"Minus","+":"Plus","(":"Open",")":"Close","[":"Open","]":"Close","<":"Less","^":"Superscript",_:"Subscript","*":"Dot",".":"Dot","=":"Equal","#":"Pound","$":"Math","\\":"Macro"," ":"Space"},Arrows:{"->":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<=>":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons","^":"uparrow",v:"downarrow"},Bonds:{"-":"-","=":"=","#":"\\equiv","~":"\\tripledash","~-":"\\begin{CEstack}{}\\tripledash\\\\-\\end{CEstack}","~=":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","~--":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","-~-":"\\raise2mu{\\begin{CEstack}{}-\\\\\\tripledash\\\\-\\end{CEstack}}","...":"{\\cdot}{\\cdot}{\\cdot}","....":"{\\cdot}{\\cdot}{\\cdot}{\\cdot}","->":"\\rightarrow","<-":"\\leftarrow","??":"\\text{??}"},Parse:function(){this.tex="";this.atom=false;while(this.i<this.string.length){var d=this.string.charAt(this.i);if(d.match(/[a-z]/i)){this.ParseLetter()}else{if(d.match(/[0-9]/)){this.ParseNumber()}else{this["Parse"+(this.ParseTable[d]||"Other")](d)}}}this.FinishAtom();return this.tex},ParseLetter:function(){this.FinishAtom();if(this.Match(/^v( |$)/)){this.tex+="{\\"+this.Arrows.v+"}"}else{this.tex+="\\text{"+this.Match(/^[a-z]+/i)+"}";this.atom=true}},ParseNumber:function(){var e=this.Match(/^\d+/);if(this.atom&&!this.sub){this.sub=e}else{this.FinishAtom();var d=this.Match(/^\/\d+/);if(d){var c="\\frac{"+e+"}{"+d.substr(1)+"}";this.tex+="\\mathchoice{\\textstyle"+c+"}{"+c+"}{"+c+"}{"+c+"}"}else{this.tex+=e;if(this.i<this.string.length){this.tex+="\\,"}}}},ParseMinus:function(d){if(this.atom&&(this.i===this.string.length-1||this.string.charAt(this.i+1)===" ")){this.sup+=d}else{this.FinishAtom();if(this.string.substr(this.i,2)==="->"){this.i+=2;this.AddArrow("->");return}else{this.tex+="{-}"}}this.i++},ParsePlus:function(d){if(this.atom){this.sup+=d}else{this.FinishAtom();this.tex+=d}this.i++},ParseDot:function(d){this.FinishAtom();this.tex+="\\cdot ";this.i++},ParseEqual:function(d){this.FinishAtom();this.tex+="{=}";this.i++},ParsePound:function(d){this.FinishAtom();this.tex+="{\\equiv}";this.i++},ParseOpen:function(e){this.FinishAtom();var d=this.Match(/^\([v^]\)/);if(d){this.tex+="{\\"+this.Arrows[d.charAt(1)]+"}"}else{this.tex+="{"+e;this.i++}},ParseClose:function(d){this.FinishAtom();this.atom=true;this.tex+=d+"}";this.i++},ParseLess:function(e){this.FinishAtom();var d=this.Match(/^(<->?|<=>>?|<<=>)/);if(!d){this.tex+=e;this.i++}else{this.AddArrow(d)}},ParseSuperscript:function(f){f=this.string.charAt(++this.i);if(f==="{"){this.i++;var d=this.Find("}");if(d==="-."){this.sup+="{-}{\\cdot}"}else{if(d){this.sup+=a(d).Parse().replace(/^\{-\}/,"-")}}}else{if(f===" "||f===""){this.tex+="{\\"+this.Arrows["^"]+"}";this.i++}else{var e=this.Match(/^(\d+|-\.)/);if(e){this.sup+=e}}}},ParseSubscript:function(e){if(this.string.charAt(++this.i)=="{"){this.i++;this.sub+=a(this.Find("}")).Parse().replace(/^\{-\}/,"-")}else{var d=this.Match(/^\d+/);if(d){this.sub+=d}}},ParseMath:function(d){this.FinishAtom();this.i++;this.tex+=this.Find(d)},ParseMacro:function(f){this.FinishAtom();this.i++;var d=this.Match(/^([a-z]+|.)/i)||" ";if(d==="sbond"){this.tex+="{-}"}else{if(d==="dbond"){this.tex+="{=}"}else{if(d==="tbond"){this.tex+="{\\equiv}"}else{if(d==="bond"){var e=(this.Match(/^\{.*?\}/)||"");e=e.substr(1,e.length-2);this.tex+="{"+(this.Bonds[e]||"\\text{??}")+"}"}else{if(d==="{"){this.tex+="{\\{"}else{if(d==="}"){this.tex+="\\}}";this.atom=true}else{this.tex+=f+d}}}}}}},ParseSpace:function(d){this.FinishAtom();this.i++},ParseOther:function(d){this.FinishAtom();this.tex+=d;this.i++},AddArrow:function(e){var g=this.Match(/^[CT]\[/);if(g){this.i--;g=g.charAt(0)}var d=this.GetBracket(g),f=this.GetBracket(g);e=this.Arrows[e];if(d||f){if(f){e+="["+f+"]"}e+="{"+d+"}";e="\\mathrel{\\x"+e+"}"}else{e="\\long"+e+" "}this.tex+=e},FinishAtom:function(){if(this.sup||this.sub){if(this.sup&&this.sub&&!this.atom){var c=this.sup,d=this.sub;if(!c.match(/\d/)){c+="\\vphantom{0}"}if(!d.match(/\d/)){d+="\\vphantom{0}"}this.tex+="\\raise 1pt{\\scriptstyle\\begin{CEscriptstack}"+c+"\\\\"+d+"\\end{CEscriptstack}}\\kern-.125em "}else{if(!this.sup){this.sup="\\Space{0pt}{0pt}{.2em}"}this.tex+="^{"+this.sup+"}_{"+this.sub+"}"}this.sup=this.sub=""}this.atom=false},GetBracket:function(e){if(this.string.charAt(this.i)!=="["){return""}this.i++;var d=this.Find("]");if(e==="C"){d="\\ce{"+d+"}"}else{if(e==="T"){if(!d.match(/^\{.*\}$/)){d="{"+d+"}"}d="\\text"+d}}return d},Match:function(d){var c=d.exec(this.string.substr(this.i));if(c){c=c[0];this.i+=c.length}return c},Find:function(h){var d=this.string.length,e=this.i,g=0;while(this.i<d){var f=this.string.charAt(this.i++);if(f===h&&g===0){return this.string.substr(e,this.i-e-1)}if(f==="{"){g++}else{if(f==="}"){if(g){g--}else{b.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}}}}if(g){b.Error(["MissingCloseBrace","Missing close brace"])}b.Error(["NoClosingChar","Can't find closing %1",h])}});MathJax.Extension["TeX/mhchem"].CE=a;b.Definitions.Add({macros:{ce:"CE",cf:"CE",cee:"CE",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{{-}\\!\\!{\\rightharpoonup}}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\small\\smash\\leftharpoondown}"],longLeftrightharpoons:["Macro","\\stackrel{\\rightharpoonup}{{{\\leftharpoondown}\\!\\!\\textstyle{-}}}"],hyphen:["Macro","\\text{-}"],tripledash:["Macro","\\raise3mu{\\tiny\\text{-}\\kern2mu\\text{-}\\kern2mu\\text{-}}"]},environment:{CEstack:["Array",null,null,null,"r",null,"0.001em","T",1],CEscriptstack:["Array",null,null,null,"r",null,"0.2em","S",1]}},null,true);if(!MathJax.Extension["TeX/AMSmath"]){b.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}},null,true)}MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){b.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}},null,true)});b.Parse.Augment({CE:function(e){var c=this.GetArgument(e);var d=a(c).Parse();this.string=d+this.string.substr(this.i);this.i=0}});MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js");
diff --git a/extensions/TeX/newcommand.js b/extensions/TeX/newcommand.js
index 76197f86f..109e48eb2 100644
--- a/extensions/TeX/newcommand.js
+++ b/extensions/TeX/newcommand.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/newcommand"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",renewenvironment:"NewEnvironment",def:"MacroDef",let:"Let"}},null,true);b.Parse.Augment({NewCommand:function(c){var e=this.trimSpaces(this.GetArgument(c)),g=this.GetBrackets(c),d=this.GetBrackets(c),f=this.GetArgument(c);if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){b.Error(["IllegalControlSequenceName","Illegal control sequence name for %1",c])}if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",c])}}this.setDef(e,["Macro",f,g,d])},NewEnvironment:function(d){var e=this.trimSpaces(this.GetArgument(d)),g=this.GetBrackets(d),f=this.GetArgument(d),c=this.GetArgument(d);if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",d])}}this.setEnv(e,["BeginEnv","EndEnv",f,c,g])},MacroDef:function(c){var d=this.GetCSname(c),f=this.GetTemplate(c,"\\"+d),e=this.GetArgument(c);if(!(f instanceof Array)){this.setDef(d,["Macro",e,f])}else{this.setDef(d,["MacroWithTemplate",e].concat(f))}},Let:function(d){var e=this.GetCSname(d),f;var g=this.GetNext();if(g==="="){this.i++;g=this.GetNext()}if(g==="\\"){d=this.GetCSname(d);f=this.csFindMacro(d);if(!f){if(a.mathchar0mi[d]){f=["csMathchar0mi",a.mathchar0mi[d]]}else{if(a.mathchar0mo[d]){f=["csMathchar0mo",a.mathchar0mo[d]]}else{if(a.mathchar7[d]){f=["csMathchar7",a.mathchar7[d]]}else{if(a.delimiter["\\"+d]!=null){f=["csDelimiter",a.delimiter["\\"+d]]}}}}}}else{f=["Macro",g];this.i++}this.setDef(e,f)},setDef:function(c,d){d.isUser=true;a.macros[c]=d},setEnv:function(c,d){d.isUser=true;a.environment[c]=d},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){b.Error(["MissingCS","%1 must be followed by a control sequence",e])}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){b.Error(["CantUseHash2","Illegal use of # in template for %1",e])}if(parseInt(j)!=++h){b.Error(["SequentialParam","Parameters for %1 must be numbered sequentially",e])}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;e<h;e++){c.push(this.GetParameter(d,f[e+1]))}g=this.SubstituteArgs(c,g)}this.string=this.AddArgs(g,this.string.slice(this.i));this.i=0;if(++this.macroCount>b.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(f,h,c,g){if(g){var d=[];for(var e=0;e<g;e++){d.push(this.GetArgument("\\begin{"+name+"}"))}h=this.SubstituteArgs(d,h);c=this.SubstituteArgs(d,c)}f.edef=c;this.string=this.AddArgs(h,this.string.slice(this.i));this.i=0;return f},EndEnv:function(c,d){this.string=this.AddArgs(c.edef,this.string.slice(this.i));this.i=0;return d},GetParameter:function(d,g){if(g==null){return this.GetArgument(d)}var f=this.i,c=0,e=0;while(this.i<this.string.length){if(this.string.charAt(this.i)==="{"){if(this.i===f){e=1}this.GetArgument(d);c=this.i-f}else{if(this.MatchParam(g)){if(e){f++;c-=2}return this.string.substr(f,c)}else{this.i++;c++;e=0}}}b.Error(["RunawayArgument","Runaway argument for %1?",d])},MatchParam:function(c){if(this.string.substr(this.i,c.length)!==c){return 0}this.i+=c.length;return 1}});b.Environment=function(c){a.environment[c]=["BeginEnv","EndEnv"].concat([].slice.call(arguments,1));a.environment[c].isUser=true};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
+MathJax.Extension["TeX/newcommand"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",renewenvironment:"NewEnvironment",def:"MacroDef",let:"Let"}},null,true);b.Parse.Augment({NewCommand:function(c){var e=this.trimSpaces(this.GetArgument(c)),g=this.GetBrackets(c),d=this.GetBrackets(c),f=this.GetArgument(c);if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){b.Error(["IllegalControlSequenceName","Illegal control sequence name for %1",c])}if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",c])}}this.setDef(e,["Macro",f,g,d])},NewEnvironment:function(d){var e=this.trimSpaces(this.GetArgument(d)),g=this.GetBrackets(d),f=this.GetArgument(d),c=this.GetArgument(d);if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",d])}}this.setEnv(e,["BeginEnv",[null,"EndEnv"],f,c,g])},MacroDef:function(c){var d=this.GetCSname(c),f=this.GetTemplate(c,"\\"+d),e=this.GetArgument(c);if(!(f instanceof Array)){this.setDef(d,["Macro",e,f])}else{this.setDef(d,["MacroWithTemplate",e].concat(f))}},Let:function(d){var e=this.GetCSname(d),f;var g=this.GetNext();if(g==="="){this.i++;g=this.GetNext()}if(g==="\\"){d=this.GetCSname(d);f=this.csFindMacro(d);if(!f){if(a.mathchar0mi[d]){f=["csMathchar0mi",a.mathchar0mi[d]]}else{if(a.mathchar0mo[d]){f=["csMathchar0mo",a.mathchar0mo[d]]}else{if(a.mathchar7[d]){f=["csMathchar7",a.mathchar7[d]]}else{if(a.delimiter["\\"+d]!=null){f=["csDelimiter",a.delimiter["\\"+d]]}}}}}}else{f=["Macro",g];this.i++}this.setDef(e,f)},setDef:function(c,d){d.isUser=true;a.macros[c]=d},setEnv:function(c,d){d.isUser=true;a.environment[c]=d},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){b.Error(["MissingCS","%1 must be followed by a control sequence",e])}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){b.Error(["CantUseHash2","Illegal use of # in template for %1",e])}if(parseInt(j)!=++h){b.Error(["SequentialParam","Parameters for %1 must be numbered sequentially",e])}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;e<h;e++){c.push(this.GetParameter(d,f[e+1]))}g=this.SubstituteArgs(c,g)}this.string=this.AddArgs(g,this.string.slice(this.i));this.i=0;if(++this.macroCount>b.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(f,h,c,g){if(g){var d=[];for(var e=0;e<g;e++){d.push(this.GetArgument("\\begin{"+name+"}"))}h=this.SubstituteArgs(d,h);c=this.SubstituteArgs([],c)}this.string=this.AddArgs(h,this.string.slice(this.i));this.i=0;return f},EndEnv:function(e,g,d,f){var c="\\end{\\end\\"+e.name+"}";this.string=this.AddArgs(d,c+this.string.slice(this.i));this.i=0;return null},GetParameter:function(d,g){if(g==null){return this.GetArgument(d)}var f=this.i,c=0,e=0;while(this.i<this.string.length){if(this.string.charAt(this.i)==="{"){if(this.i===f){e=1}this.GetArgument(d);c=this.i-f}else{if(this.MatchParam(g)){if(e){f++;c-=2}return this.string.substr(f,c)}else{this.i++;c++;e=0}}}b.Error(["RunawayArgument","Runaway argument for %1?",d])},MatchParam:function(c){if(this.string.substr(this.i,c.length)!==c){return 0}this.i+=c.length;return 1}});b.Environment=function(c){a.environment[c]=["BeginEnv","EndEnv"].concat([].slice.call(arguments,1));a.environment[c].isUser=true};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
diff --git a/extensions/TeX/noErrors.js b/extensions/TeX/noErrors.js
index 37502dbce..a52e5c9b0 100644
--- a/extensions/TeX/noErrors.js
+++ b/extensions/TeX/noErrors.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(b,e){var d="2.3";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+(function(b,e){var d="2.4-beta";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.call(this,j,k)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.call(this,p)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.call(this,i,j)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.call(this,n)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.call(this,j)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.call(this,n)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
diff --git a/extensions/TeX/noUndefined.js b/extensions/TeX/noUndefined.js
index fcff0f7bd..4a6b3fc3c 100644
--- a/extensions/TeX/noUndefined.js
+++ b/extensions/TeX/noUndefined.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/noUndefined"]={version:"2.3",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.4-beta",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
diff --git a/extensions/TeX/unicode.js b/extensions/TeX/unicode.js
index f3175d97d..06097d3a8 100644
--- a/extensions/TeX/unicode.js
+++ b/extensions/TeX/unicode.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/unicode"]={version:"2.3",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)),h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");
+MathJax.Extension["TeX/unicode"]={version:"2.4-beta",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)),h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");
diff --git a/extensions/TeX/verb.js b/extensions/TeX/verb.js
index 1df65e43f..96d93b669 100644
--- a/extensions/TeX/verb.js
+++ b/extensions/TeX/verb.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/verb"]={version:"2.3"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX;var b=c.Definitions;b.Add({macros:{verb:"Verb"}},null,true);c.Parse.Augment({Verb:function(d){var g=this.GetNext();var f=++this.i;if(g==""){c.Error(["MissingArgFor","Missing argument for %1",d])}while(this.i<this.string.length&&this.string.charAt(this.i)!=g){this.i++}if(this.i==this.string.length){c.Error(["NoClosingDelim","Can't find closing delimiter for %1",d])}var e=this.string.slice(f,this.i).replace(/ /g,"\u00A0");this.i++;this.Push(a.mtext(e).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");
+MathJax.Extension["TeX/verb"]={version:"2.4-beta"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX;var b=c.Definitions;b.Add({macros:{verb:"Verb"}},null,true);c.Parse.Augment({Verb:function(d){var g=this.GetNext();var f=++this.i;if(g==""){c.Error(["MissingArgFor","Missing argument for %1",d])}while(this.i<this.string.length&&this.string.charAt(this.i)!=g){this.i++}if(this.i==this.string.length){c.Error(["NoClosingDelim","Can't find closing delimiter for %1",d])}var e=this.string.slice(f,this.i).replace(/ /g,"\u00A0");this.i++;this.Push(a.mtext(e).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");
diff --git a/extensions/asciimath2jax.js b/extensions/asciimath2jax.js
index 3096a33a9..154f06729 100644
--- a/extensions/asciimath2jax.js
+++ b/extensions/asciimath2jax.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.asciimath2jax={version:"2.3",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.4-beta",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return c}}}return b},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="AsciiMath"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
diff --git a/extensions/jsMath2jax.js b/extensions/jsMath2jax.js
index a3a85923a..1a78603a8 100644
--- a/extensions/jsMath2jax.js
+++ b/extensions/jsMath2jax.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.jsMath2jax={version:"2.3",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(a){var b=this.config.preview;if(b==="TeX"){b=[this.filterPreview(a.innerHTML)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);a.parentNode.insertBefore(b,a)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");
+MathJax.Extension.jsMath2jax={version:"2.4-beta",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(a){var b=this.config.preview;if(b==="TeX"){b=[this.filterPreview(a.innerHTML)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);a.parentNode.insertBefore(b,a)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");
diff --git a/extensions/mml2jax.js b/extensions/mml2jax.js
index ae9efa824..638613bfa 100644
--- a/extensions/mml2jax.js
+++ b/extensions/mml2jax.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.mml2jax={version:"2.3",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.mml2jax={version:"2.4-beta",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(f,b){var g=this.config.preview;if(g==="none"){return}var a=false;if(g==="mathml"){a=true;if(this.MathTagBug){g="alttext"}else{g=f.cloneNode(false)}}if(g==="alttext"||g==="altimg"){a=true;var c=this.filterPreview(f.getAttribute("alttext"));if(g==="alttext"){if(c!=null){g=MathJax.HTML.TextNode(c)}else{g=null}}else{var h=f.getAttribute("altimg");if(h!=null){var e={width:f.getAttribute("altimg-width"),height:f.getAttribute("altimg-height")};g=MathJax.HTML.Element("img",{src:h,alt:c,style:e})}else{g=null}}}if(g){var d;if(a){d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass});d.appendChild(g)}else{d=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},g)}b.parentNode.insertBefore(d,b)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
diff --git a/extensions/tex2jax.js b/extensions/tex2jax.js
index ce6add4b2..2e3ea7e2d 100644
--- a/extensions/tex2jax.js
+++ b/extensions/tex2jax.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.tex2jax={version:"2.3",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.tex2jax={version:"2.4-beta",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],balanceBraces:true,skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(b){if(b.nodeValue.replace(/\s+/,"")==""){return b}var a,c;this.search={start:true};this.pattern=this.start;while(b){this.pattern.lastIndex=0;while(b&&b.nodeName.toLowerCase()==="#text"&&(a=this.pattern.exec(b.nodeValue))){if(this.search.start){b=this.startMatch(a,b)}else{b=this.endMatch(a,b)}}if(this.search.matched){b=this.encloseMath(b)}if(b){do{c=b;b=b.nextSibling}while(b&&(b.nodeName.toLowerCase()==="br"||b.nodeName.toLowerCase()==="#comment"));if(!b||b.nodeName!=="#text"){return(this.search.close?this.prevEndMatch():c)}}}return b},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,f=a.close,e,c;if(a.cpos===f.length){f=f.nextSibling}else{f=f.splitText(a.cpos)}if(!f){e=f=MathJax.HTML.addText(a.close.parentNode,"")}a.close=f;c=(a.opos?a.open.splitText(a.opos):a.open);while(c.nextSibling&&c.nextSibling!==f){if(c.nextSibling.nodeValue!==null){if(c.nextSibling.nodeName==="#comment"){c.nodeValue+=c.nextSibling.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{c.nodeValue+=c.nextSibling.nodeValue}}else{if(this.msieNewlineBug){c.nodeValue+=(c.nextSibling.nodeName.toLowerCase()==="br"?"\n":" ")}else{c.nodeValue+=" "}}c.parentNode.removeChild(c.nextSibling)}var d=c.nodeValue.substr(a.olen,c.nodeValue.length-a.olen-a.clen);c.parentNode.removeChild(c);if(this.config.preview!=="none"){this.createPreview(a.mode,d)}c=this.createMathTag(a.mode,d);this.search={};this.pattern.lastIndex=0;if(e){e.parentNode.removeChild(e)}return c},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(c,a){var b=this.config.preview;if(b==="none"){return}if(b==="TeX"){b=[this.filterPreview(a)]}if(b){b=MathJax.HTML.Element("span",{className:MathJax.Hub.config.preRemoveClass},b);this.insertNode(b)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a},msieNewlineBug:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9)};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
diff --git a/extensions/toMathML.js b/extensions/toMathML.js
index 7b1b6f7af..87b57a648 100644
--- a/extensions/toMathML.js
+++ b/extensions/toMathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.3";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[];var h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml;SETTINGS=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(k){var g=(this.inferred&&this.parent.inferRow);if(k==null){k=""}var e=this.type,d=this.toMathMLattributes();if(e==="mspace"){return k+"<"+e+d+" />"}var j=[],h=(this.isToken?"":k+(g?"":"  "));for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){j.push(this.data[f].toMathML(h))}else{if(!this.isToken&&!this.isChars){j.push(h+"<mrow />")}}}if(this.isToken){return k+"<"+e+d+">"+j.join("")+"</"+e+">"}if(g){return j.join("\n")}if(j.length===0||(j.length===1&&j[0]==="")){return k+"<"+e+d+" />"}return k+"<"+e+d+">\n"+j.join("\n")+"\n"+k+"</"+e+">"},toMathMLattributes:function(){var j=[],g=this.defaults;var c=(this.attrNames||a.copyAttributeNames),l=a.skipAttributes;if(this.type==="math"&&(!this.attr||!this.attr.xmlns)){j.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){if(this.type==="mstyle"){g=a.math.prototype.defaults}for(var d in g){if(!l[d]&&g.hasOwnProperty(d)){var e=(d==="open"||d==="close"||d==="form");if(this[d]!=null&&(e||this[d]!==g[d])){var k=this[d];delete this[d];if(e||this.Get(d)!==k){j.push(d+'="'+this.toMathMLattribute(k)+'"')}this[d]=k}}}}for(var h=0,f=c.length;h<f;h++){if(c[h]==="class"){continue}k=(this.attr||{})[c[h]];if(k==null){k=this[c[h]]}if(k!=null){j.push(c[h]+'="'+this.toMathMLquote(k)+'"')}}this.toMathMLclass(j);if(j.length){return" "+j.join(" ")}else{return""}},toMathMLclass:function(c){var e=[];if(this["class"]){e.push(this["class"])}if(this.isa(a.TeXAtom)&&SETTINGS.texHints){var d=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(d){e.push("MJX-TeXAtom-"+d)}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){e.push("MJX"+this.mathvariant)}if(this.variantForm){e.push("MJX-variant")}if(e.length){c.unshift('class="'+e.join(" ")+'"')}},toMathMLattribute:function(c){if(typeof(c)==="string"&&c.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return RegExp.$2+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[c]){return this.toMathMLvariants[c]}}return this.toMathMLquote(c)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k<32||k>126){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.msubsup.Augment({toMathML:function(h){var e=this.type;if(this.data[this.sup]==null){e="msub"}if(this.data[this.sub]==null){e="msup"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.munderover.Augment({toMathML:function(h){var e=this.type;if(this.data[this.under]==null){e="mover"}if(this.data[this.over]==null){e="munder"}var d=this.toMathMLattributes();delete this.data[0].inferred;var g=[];for(var f=0,c=this.data.length;f<c;f++){if(this.data[f]){g.push(this.data[f].toMathML(h+"  "))}}return h+"<"+e+d+">\n"+g.join("\n")+"\n"+h+"</"+e+">"}});a.TeXAtom.Augment({toMathML:function(d){var c=this.toMathMLattributes();if(!c&&this.data[0].data.length===1){return d.substr(2)+this.data[0].toMathML(d)}return d+"<mrow"+c+">\n"+this.data[0].toMathML(d+"  ")+"\n"+d+"</mrow>"}});a.chars.Augment({toMathML:function(c){return(c||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(c){return(c||"")+"&"+this.data[0]+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(c){return(c||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(c){return this.Core().toMathML(c)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
diff --git a/jax/element/mml/jax.js b/jax/element/mml/jax.js
index 3d66d5bcc..929f3e6aa 100644
--- a/jax/element/mml/jax.js
+++ b/jax/element/mml/jax.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.3",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(d){for(var e in d){if(d.hasOwnProperty(e)){this[e]=d[e]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var e=0,d=arguments.length;e<d;e++){this.SetData(this.data.length,arguments[e])}}},SetData:function(d,e){if(e!=null){if(!(e instanceof a.mbase)){e=(this.isToken?a.chars(e):a.mtext(e))}e.parent=this;e.setInherit(this.inheritFromMe?this:this.inherit)}this.data[d]=e},Parent:function(){var d=this.parent;while(d&&d.notParent){d=d.parent}return d},Get:function(e,j){if(this[e]!=null){return this[e]}if(this.attr&&this.attr[e]!=null){return this.attr[e]}var f=this.Parent();if(f&&f["adjustChild_"+e]!=null){return(f["adjustChild_"+e])(this.childPosition(),j)}var i=this.inherit;var d=i;while(i){var h=i[e];if(h==null&&i.attr){h=i.attr[e]}if(h!=null&&i.noInheritAttribute&&!i.noInheritAttribute[e]){var g=i.noInherit[this.type];if(!(g&&g[e])){return h}}d=i;i=i.inherit}if(!j){if(this.defaults[e]===a.AUTO){return this.autoDefault(e)}if(this.defaults[e]!==a.INHERIT&&this.defaults[e]!=null){return this.defaults[e]}if(d){return d.defaults[e]}}return null},hasValue:function(d){return(this.Get(d,true)!=null)},getValues:function(){var e={};for(var f=0,d=arguments.length;f<d;f++){e[arguments[f]]=this.Get(arguments[f])}return e},adjustChild_scriptlevel:function(e,d){return this.Get("scriptlevel",d)},adjustChild_displaystyle:function(e,d){return this.Get("displaystyle",d)},adjustChild_texprimestyle:function(e,d){return this.Get("texprimestyle",d)},childPosition:function(){var g=this,f=g.parent;while(f.notParent){g=f;f=g.parent}for(var e=0,d=f.data.length;e<d;e++){if(f.data[e]===g){return e}}return null},setInherit:function(f){if(f!==this.inherit&&this.inherit==null){this.inherit=f;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].setInherit){this.data[e].setInherit(f)}}}},setTeXclass:function(d){this.getPrevClass(d);return(typeof(this.texClass)!=="undefined"?this:d)},getPrevClass:function(d){if(d){this.prevClass=d.Get("texClass");this.prevLevel=d.Get("scriptlevel")}},updateTeXclass:function(d){if(d){this.prevClass=d.prevClass;delete d.prevClass;this.prevLevel=d.prevLevel;delete d.prevLevel;this.texClass=d.Get("texClass")}},texSpacing:function(){var e=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var d=(this.Get("texClass")||a.TEXCLASS.ORD);if(e===a.TEXCLASS.NONE||d===a.TEXCLASS.NONE){return""}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}if(d===a.TEXCLASS.VCENTER){d=a.TEXCLASS.ORD}var f=this.TEXSPACE[e][d];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&f>=0){return""}return this.TEXSPACELENGTH[Math.abs(f)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(d){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&this.data[e].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var e=0,d=this.data.length;e<d;e++){if(!this.data[e].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(d){if(this.data[0]){d=this.data[0].setTeXclass(d);this.updateTeXclass(this.data[0])}return d},setBaseTeXclasses:function(f){this.getPrevClass(f);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){f=this.data[0].setTeXclass(f);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();f=this}}else{f=this}for(var e=1,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}return f},setSeparateTeXclasses:function(f){this.getPrevClass(f);for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){this.data[e].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(e){if(e==="mathvariant"){var d=(this.data[0]||"").toString();return(d.length===1||(d.length===2&&d.charCodeAt(0)>=55296&&d.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(e){this.getPrevClass(e);var d=this.data.join("");if(d.length>1&&d.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:true,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(f,l){var k=this.def;if(!k){if(f==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var j=this.data.join("");var e=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var g=0,d=e.length;g<d;g++){var h=this.OPTABLE[e[g]][j];if(h){k=this.makeDef(h);break}}if(!k){k=this.CheckRange(j)}if(!k&&l){k={}}else{if(!k){k=MathJax.Hub.Insert({},this.defaultDef)}k.form=e[0];this.def=k}}this.useMMLspacing&=~(this.SPACE_ATTR[f]||0);if(k[f]!=null){return k[f]}else{if(!l){return this.defaultDef[f]}}return""},CheckRange:function(h){var j=h.charCodeAt(0);if(j>=55296&&j<56320){j=(((j-55296)<<10)+(h.charCodeAt(1)-56320))+65536}for(var f=0,d=this.RANGES.length;f<d&&this.RANGES[f][0]<=j;f++){if(j<=this.RANGES[f][1]){if(this.RANGES[f][3]){var e=a.optableDir+"/"+this.RANGES[f][3]+".js";this.RANGES[f][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(e))}var g=a.TEXCLASSNAMES[this.RANGES[f][2]];g=this.OPTABLE.infix[h]=a.mo.OPTYPES[g==="BIN"?"BIN3":g];return this.makeDef(g)}}return null},makeDef:function(e){if(e[2]==null){e[2]=this.defaultDef.texClass}if(!e[3]){e[3]={}}var d=MathJax.Hub.Insert({},e[3]);d.lspace=this.SPACE[e[0]];d.rspace=this.SPACE[e[1]];d.texClass=e[2];if(d.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){d.texClass=a.TEXCLASS.OP}return d},getForm:function(){var d=this,f=this.parent,e=this.Parent();while(e&&e.isEmbellished()){d=f;f=e.parent;e=e.Parent()}if(f&&f.type==="mrow"&&f.NonSpaceLength()!==1){if(f.FirstNonSpace()===d){return a.FORM.PREFIX}if(f.LastNonSpace()===d){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(d){this.getValues("lspace","rspace");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(d){d.texClass=a.TEXCLASS.OP}this.texClass=this.prevClass=a.TEXCLASS.NONE;return d}return this.adjustTeXclass(d)},adjustTeXclass:function(d){if(this.texClass===a.TEXCLASS.NONE){return d}if(d){if(d.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){d.texClass=a.TEXCLASS.ORD}this.prevClass=d.texClass||a.TEXCLASS.ORD;this.prevLevel=d.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){d.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var e=false;for(var f=0,d=this.data.length;f<d;f++){if(this.data[f]==null){continue}if(this.data[f].isEmbellished()){if(e){return false}e=true;this.core=f}else{if(!this.data[f].isSpacelike()){return false}}}return e},NonSpaceLength:function(){var f=0;for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){f++}}return f},FirstNonSpace:function(){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},LastNonSpace:function(){for(var d=this.data.length-1;d>=0;d--){if(this.data[0]&&!this.data[d].isSpacelike()){return this.data[d]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(f){for(var e=0,d=this.data.length;e<d;e++){if(this.data[e]){f=this.data[e].setTeXclass(f)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return f},getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(d){return false},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(!this.Get("displaystyle")||d>0){d++}return d},adjustChild_texprimestyle:function(d){if(d==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(d){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(d){if(d===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e===1){d+=2}return d},adjustChild_texprimestyle:function(d){if(d===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(f){var e=this.scriptlevel;if(e==null){e=this.Get("scriptlevel")}else{if(String(e).match(/^ *[-+]/)){delete this.scriptlevel;var d=this.Get("scriptlevel");this.scriptlevel=e;e=d+parseInt(e)}}return e},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.getPrevClass(g);var e=this.getValues("open","close","separators");e.open=e.open.replace(/[ \t\n\r]/g,"");e.close=e.close.replace(/[ \t\n\r]/g,"");e.separators=e.separators.replace(/[ \t\n\r]/g,"");if(e.open!==""){this.SetData("open",a.mo(e.open).With({stretchy:true,texClass:a.TEXCLASS.OPEN}));g=this.data.open.setTeXclass(g)}if(e.separators!==""){while(e.separators.length<this.data.length){e.separators+=e.separators.charAt(e.separators.length-1)}}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,d=this.data.length;f<d;f++){if(this.data[f]){if(e.separators!==""){this.SetData("sep"+f,a.mo(e.separators.charAt(f-1)));g=this.data["sep"+f].setTeXclass(g)}g=this.data[f].setTeXclass(g)}}if(e.close!==""){this.SetData("close",a.mo(e.close).With({stretchy:true,texClass:a.TEXCLASS.CLOSE}));g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(e){var d=this.Get("scriptlevel");if(e>0){d++}return d},adjustChild_texprimestyle:function(d){if(d===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(d){if(d%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(d){if(d==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(d):a.TEXCLASS.ORD)}if(d==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(d==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(d){if(d>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");var d=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(f==this.under&&(d||!this.Get("accentunder"))){e++}if(f==this.over&&(d||!this.Get("accent"))){e++}return e},adjustChild_texprimestyle:function(d){if(d===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!((arguments[e] instanceof a.mtr)||(arguments[e] instanceof a.mlabeledtr))){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var e=0,d=arguments.length;e<d;e++){if(!(arguments[e] instanceof a.mtd)){arguments[e]=a.mtd(arguments[e])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(d){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(d)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(f){var k=MathJax.Hub.config.MathMenu.semanticsAnnotations[f];if(k){for(var g=0,d=this.data.length;g<d;g++){var h=this.data[g].Get("encoding");if(h){for(var e=0,l=k.length;e<l;e++){if(k[e]===h){return this.data[g]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isToken:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(d){if(d==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(d){if(this.data.length!=1){return null}return this.data[0].getAnnotation(d)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var d=this.value();if(d<=65535){return String.fromCharCode(d)}d-=65536;return String.fromCharCode((d>>10)+55296)+String.fromCharCode((d&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var e=0,d=arguments.length;e<d;e++){var f=this.Import(arguments[e]);this.data.push(f);this.div.appendChild(f)}},Import:function(h){if(document.importNode){return document.importNode(h,true)}var e,f,d;if(h.nodeType===1){e=document.createElement(h.nodeName);for(f=0,d=h.attributes.length;f<d;f++){var g=h.attributes[f];if(g.specified&&g.nodeValue!=null&&g.nodeValue!=""){e.setAttribute(g.nodeName,g.nodeValue)}if(g.nodeName==="style"){e.style.cssText=g.nodeValue}}if(h.className){e.className=h.className}}else{if(h.nodeType===3||h.nodeType===4){e=document.createTextNode(h.nodeValue)}else{if(h.nodeType===8){e=document.createComment(h.nodeValue)}else{return document.createTextNode("")}}}for(f=0,d=h.childNodes.length;f<d;f++){e.appendChild(this.Import(h.childNodes[f]))}return e},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(d){this.data[0].setTeXclass();return this.adjustTeXclass(d)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var c={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":c.ORD21,"\u2202":c.ORD21,"\u2203":c.ORD21,"\u2207":c.ORD21,"\u220F":c.OP,"\u2210":c.OP,"\u2211":c.OP,"\u2212":c.BIN01,"\u2213":c.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":c.ORD,"\u222B":c.INTEGRAL,"\u222E":c.INTEGRAL,"\u22C0":c.OP,"\u22C1":c.OP,"\u22C2":c.OP,"\u22C3":c.OP,"\u2308":c.OPEN,"\u230A":c.OPEN,"\u27E8":c.OPEN,"\u27EE":c.OPEN,"\u2A00":c.OP,"\u2A01":c.OP,"\u2A02":c.OP,"\u2A04":c.OP,"\u2A06":c.OP,"\u00AC":c.ORD21,"\u00B1":c.BIN01,"(":c.OPEN,"+":c.BIN01,"-":c.BIN01,"[":c.OPEN,"{":c.OPEN,"|":c.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":c.ORD,"\u2032":c.ORD02,"\u203E":c.WIDEACCENT,"\u2309":c.CLOSE,"\u230B":c.CLOSE,"\u23DE":c.WIDEACCENT,"\u23DF":c.WIDEACCENT,"\u266D":c.ORD02,"\u266E":c.ORD02,"\u266F":c.ORD02,"\u27E9":c.CLOSE,"\u27EF":c.CLOSE,"\u02C6":c.WIDEACCENT,"\u02C7":c.WIDEACCENT,"\u02C9":c.WIDEACCENT,"\u02CA":c.ACCENT,"\u02CB":c.ACCENT,"\u02D8":c.ACCENT,"\u02D9":c.ACCENT,"\u02DC":c.WIDEACCENT,"\u0302":c.WIDEACCENT,"\u00A8":c.ACCENT,"\u00AF":c.WIDEACCENT,")":c.CLOSE,"]":c.CLOSE,"^":c.WIDEACCENT,_:c.WIDEACCENT,"`":c.ACCENT,"|":c.CLOSE,"}":c.CLOSE,"~":c.WIDEACCENT},infix:{"":c.ORD,"%":[3,3,b.ORD],"\u2022":c.BIN4,"\u2026":c.INNER,"\u2044":c.TALLBIN,"\u2061":c.ORD,"\u2062":c.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":c.ORD,"\u2190":c.WIDEREL,"\u2191":c.RELSTRETCH,"\u2192":c.WIDEREL,"\u2193":c.RELSTRETCH,"\u2194":c.WIDEREL,"\u2195":c.RELSTRETCH,"\u2196":c.RELSTRETCH,"\u2197":c.RELSTRETCH,"\u2198":c.RELSTRETCH,"\u2199":c.RELSTRETCH,"\u21A6":c.WIDEREL,"\u21A9":c.WIDEREL,"\u21AA":c.WIDEREL,"\u21BC":c.WIDEREL,"\u21BD":c.WIDEREL,"\u21C0":c.WIDEREL,"\u21C1":c.WIDEREL,"\u21CC":c.WIDEREL,"\u21D0":c.WIDEREL,"\u21D1":c.RELSTRETCH,"\u21D2":c.WIDEREL,"\u21D3":c.RELSTRETCH,"\u21D4":c.WIDEREL,"\u21D5":c.RELSTRETCH,"\u2208":c.REL,"\u2209":c.REL,"\u220B":c.REL,"\u2212":c.BIN4,"\u2213":c.BIN4,"\u2215":c.TALLBIN,"\u2216":c.BIN4,"\u2217":c.BIN4,"\u2218":c.BIN4,"\u2219":c.BIN4,"\u221D":c.REL,"\u2223":c.REL,"\u2225":c.REL,"\u2227":c.BIN4,"\u2228":c.BIN4,"\u2229":c.BIN4,"\u222A":c.BIN4,"\u223C":c.REL,"\u2240":c.BIN4,"\u2243":c.REL,"\u2245":c.REL,"\u2248":c.REL,"\u224D":c.REL,"\u2250":c.REL,"\u2260":c.REL,"\u2261":c.REL,"\u2264":c.REL,"\u2265":c.REL,"\u226A":c.REL,"\u226B":c.REL,"\u227A":c.REL,"\u227B":c.REL,"\u2282":c.REL,"\u2283":c.REL,"\u2286":c.REL,"\u2287":c.REL,"\u228E":c.BIN4,"\u2291":c.REL,"\u2292":c.REL,"\u2293":c.BIN4,"\u2294":c.BIN4,"\u2295":c.BIN4,"\u2296":c.BIN4,"\u2297":c.BIN4,"\u2298":c.BIN4,"\u2299":c.BIN4,"\u22A2":c.REL,"\u22A3":c.REL,"\u22A4":c.ORD55,"\u22A5":c.REL,"\u22A8":c.REL,"\u22C4":c.BIN4,"\u22C5":c.BIN4,"\u22C6":c.BIN4,"\u22C8":c.REL,"\u22EE":c.ORD55,"\u22EF":c.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":c.BIN4,"\u25B5":c.BIN4,"\u25B9":c.BIN4,"\u25BD":c.BIN4,"\u25BF":c.BIN4,"\u25C3":c.BIN4,"\u2758":c.REL,"\u27F5":c.WIDEREL,"\u27F6":c.WIDEREL,"\u27F7":c.WIDEREL,"\u27F8":c.WIDEREL,"\u27F9":c.WIDEREL,"\u27FA":c.WIDEREL,"\u27FC":c.WIDEREL,"\u2A2F":c.BIN4,"\u2A3F":c.BIN4,"\u2AAF":c.REL,"\u2AB0":c.REL,"\u00B1":c.BIN4,"\u00B7":c.BIN4,"\u00D7":c.BIN4,"\u00F7":c.BIN4,"*":c.BIN3,"+":c.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":c.BIN4,".":[3,3,b.ORD],"/":c.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":c.REL,"=":c.REL,">":c.REL,"?":[1,1,b.CLOSE],"\\":c.ORD,"^":c.ORD11,_:c.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":c.ORD,"$":c.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":c.ORD,"\u0300":c.ACCENT,"\u0301":c.ACCENT,"\u0303":c.WIDEACCENT,"\u0304":c.ACCENT,"\u0306":c.ACCENT,"\u0307":c.ACCENT,"\u0308":c.ACCENT,"\u030C":c.ACCENT,"\u0332":c.WIDEACCENT,"\u0338":c.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":c.BIN3,"\u2021":c.BIN3,"\u20D7":c.ACCENT,"\u2111":c.ORD,"\u2113":c.ORD,"\u2118":c.ORD,"\u211C":c.ORD,"\u2205":c.ORD,"\u221E":c.ORD,"\u2305":c.BIN3,"\u2306":c.BIN3,"\u2322":c.REL4,"\u2323":c.REL4,"\u2329":c.OPEN,"\u232A":c.CLOSE,"\u23AA":c.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":c.OPEN,"\u23B1":c.CLOSE,"\u2500":c.ORD,"\u25EF":c.BIN3,"\u2660":c.ORD,"\u2661":c.ORD,"\u2662":c.ORD,"\u2663":c.ORD,"\u3008":c.OPEN,"\u3009":c.CLOSE,"\uFE37":c.WIDEACCENT,"\uFE38":c.WIDEACCENT}}},{OPTYPES:c});a.mo.prototype.OPTABLE.infix["^"]=c.WIDEREL;a.mo.prototype.OPTABLE.infix._=c.WIDEREL})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.4-beta",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"inital",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],copyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true},skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributeNames:["fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if(this.prevLevel>0&&this.Get("scriptlevel")>0&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return this.data[0]},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2,form:4},useMMLspacing:7,autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){this.useMMLspacing&=~this.SPACE_ATTR.form;return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}l.form=f[0];this.def=l}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.useMMLspacing){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(e){if(this.texClass===a.TEXCLASS.NONE){return e}if(e){if(e.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){e.texClass=a.TEXCLASS.ORD}this.prevClass=e.texClass||a.TEXCLASS.ORD;this.prevLevel=e.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){e.texClass=this.prevClass=a.TEXCLASS.ORD}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}this.texClass=a.TEXCLASS.INNER;return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,texClass:a.TEXCLASS.INNER,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){delete this.scriptlevel;var e=this.Get("scriptlevel");this.scriptlevel=f;f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},texClass:a.TEXCLASS.OPEN,setTeXclass:function(h){this.getPrevClass(h);var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}));this.data.open.useMMLspacing&=~this.data.open.SPACE_ATTR.form;h=this.data.open.setTeXclass(h)}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}}if(this.data[0]){h=this.data[0].setTeXclass(h)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){if(f.separators!==""){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}));h=this.data["sep"+g].setTeXclass(h)}h=this.data[g].setTeXclass(h)}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}));this.data.close.useMMLspacing&=~this.data.close.SPACE_ATTR.form;h=this.data.close.setTeXclass(h)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return h}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"malign",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(e){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}return this.selected().setTeXclass(e)}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
diff --git a/jax/input/AsciiMath/config.js b/jax/input/AsciiMath/config.js
index 3f1285989..e9d53cca8 100644
--- a/jax/input/AsciiMath/config.js
+++ b/jax/input/AsciiMath/config.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.3",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.4-beta",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
diff --git a/jax/input/MathML/config.js b/jax/input/MathML/config.js
index fe82fe32d..8e96db1e6 100644
--- a/jax/input/MathML/config.js
+++ b/jax/input/MathML/config.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.3",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.4-beta",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
diff --git a/jax/input/TeX/config.js b/jax/input/TeX/config.js
index be1165697..71232f2d9 100644
--- a/jax/input/TeX/config.js
+++ b/jax/input/TeX/config.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.3",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.4-beta",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/[:"'<>&]/g,"")},formatURL:function(a){return"#"+escape(a)},useLabelIds:true}}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
diff --git a/jax/output/HTML-CSS/autoload/annotation-xml.js b/jax/output/HTML-CSS/autoload/annotation-xml.js
index 4522945f6..7d7b02f3b 100644
--- a/jax/output/HTML-CSS/autoload/annotation-xml.js
+++ b/jax/output/HTML-CSS/autoload/annotation-xml.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)/b.scale}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}f.bbox.w=b.getW(f);f.bbox.rw=f.bbox.w;var h=b.getHD(f);f.bbox.h=h.h;f.bbox.d=h.d}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)/b.scale}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}f.bbox.w=b.getW(f);f.bbox.rw=f.bbox.w;var h=b.getHD(f);f.bbox.h=h.h;f.bbox.d=h.d}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
diff --git a/jax/output/HTML-CSS/autoload/maction.js b/jax/output/HTML-CSS/autoload/maction.js
index a035f2c94..015313024 100644
--- a/jax/output/HTML-CSS/autoload/maction.js
+++ b/jax/output/HTML-CSS/autoload/maction.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="2.3";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(j,h,l){var i=this.selected();if(i.type=="null"){j=this.HTMLcreateSpan(j);j.bbox=this.HTMLzeroBBox();return j}j=this.HTMLhandleSize(this.HTMLcreateSpan(j));j.bbox=null;var k=i.toHTML(j);if(l!=null){e.Remeasured(i.HTMLstretchV(j,h,l),j)}else{if(h!=null){e.Remeasured(i.HTMLstretchH(j,h),j)}else{e.Measured(k,j)}}this.HTMLhandleHitBox(j);this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j},HTMLhandleHitBox:function(i,l){var k;if(e.msieHitBoxBug){var j=e.addElement(i,"span",{isMathJax:true});k=e.createFrame(j,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(j,i.firstChild);j.style.marginRight=e.Em(-i.bbox.w);if(e.msieInlineBlockAlignBug){k.style.verticalAlign=e.Em(e.getHD(i).d-i.bbox.d)}}else{k=e.createFrame(i,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(k,i.firstChild);k.style.marginRight=e.Em(-i.bbox.w)}k.className="MathJax_HitBox";k.id="MathJax-HitBox-"+this.spanID+(l||"")+e.idPostfix;var h=this.Get("actiontype");if(this.HTMLaction[h]){this.HTMLaction[h].call(this,i,k,this.Get("selection"))}},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;j.onclick=i.childNodes[1].onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLsetStatus",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){j.title=j.alt=i.childNodes[1].title=i.childNodes[1].alt=this.data[1].data.join("")}else{j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}}},HTMLclick:function(l){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(o,m){f=null;if(b){clearTimeout(b);b=null}var p=this.HTMLtooltip;p.style.display="block";p.style.opacity="";p.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}p.style.left=o+"px";p.style.top=m+"px";p.innerHTML='<span class="MathJax"><nobr></nobr></span>';var q=p.insertBefore(e.EmExSpan.cloneNode(true),p.firstChild);var l=q.firstChild.offsetHeight/60,h=q.lastChild.firstChild.offsetHeight/60;e.em=e.outerEm=c.mbase.prototype.em=h;var i=Math.floor(Math.max(e.config.minScaleAdjust/100,(l/e.TeX.x_height)/h)*e.config.scale);p.firstChild.style.fontSize=i+"%";q.parentNode.removeChild(q);var n=e.createStack(p.firstChild.firstChild);var k=e.createBox(n);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}p.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,o,m],j.restart);return}e.placeBox(k,0,0);e.createRule(p.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="2.4-beta";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(j,h,l){var i=this.selected();if(i.type=="null"){j=this.HTMLcreateSpan(j);j.bbox=this.HTMLzeroBBox();return j}j=this.HTMLhandleSize(this.HTMLcreateSpan(j));j.bbox=null;var k=i.toHTML(j);if(l!=null){e.Remeasured(i.HTMLstretchV(j,h,l),j)}else{if(h!=null){e.Remeasured(i.HTMLstretchH(j,h),j)}else{e.Measured(k,j)}}this.HTMLhandleHitBox(j);this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j},HTMLhandleHitBox:function(i,l){var k;if(e.msieHitBoxBug){var j=e.addElement(i,"span",{isMathJax:true});k=e.createFrame(j,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(j,i.firstChild);j.style.marginRight=e.Em(-i.bbox.w);if(e.msieInlineBlockAlignBug){k.style.verticalAlign=e.Em(e.getHD(i).d-i.bbox.d)}}else{k=e.createFrame(i,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(k,i.firstChild);k.style.marginRight=e.Em(-i.bbox.w)}k.className="MathJax_HitBox";k.id="MathJax-HitBox-"+this.spanID+(l||"")+e.idPostfix;var h=this.Get("actiontype");if(this.HTMLaction[h]){this.HTMLaction[h].call(this,i,k,this.Get("selection"))}},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;j.onclick=i.childNodes[1].onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLsetStatus",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){j.title=j.alt=i.childNodes[1].title=i.childNodes[1].alt=this.data[1].data.join("")}else{j.onmouseover=i.childNodes[1].onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);j.onmouseout=i.childNodes[1].onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}}},HTMLclick:function(l){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(o,m){f=null;if(b){clearTimeout(b);b=null}var p=this.HTMLtooltip;p.style.display="block";p.style.opacity="";p.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}p.style.left=o+"px";p.style.top=m+"px";p.innerHTML='<span class="MathJax"><nobr></nobr></span>';var q=p.insertBefore(e.EmExSpan.cloneNode(true),p.firstChild);var l=q.firstChild.offsetHeight/60,h=q.lastChild.firstChild.offsetHeight/60;e.em=e.outerEm=c.mbase.prototype.em=h;var i=Math.floor(Math.max(e.config.minScaleAdjust/100,(l/e.TeX.x_height)/h)*e.config.scale);p.firstChild.style.fontSize=i+"%";q.parentNode.removeChild(q);var n=e.createStack(p.firstChild.firstChild);var k=e.createBox(n);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}p.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,o,m],j.restart);return}e.placeBox(k,0,0);e.createRule(p.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
diff --git a/jax/output/HTML-CSS/autoload/menclose.js b/jax/output/HTML-CSS/autoload/menclose.js
index 20b5119d9..130f99e0e 100644
--- a/jax/output/HTML-CSS/autoload/menclose.js
+++ b/jax/output/HTML-CSS/autoload/menclose.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(ac){var j=this.getValues("notation","thickness","padding","mathcolor","color");if(j.color&&!this.mathcolor){j.mathcolor=j.color}if(j.thickness==null){j.thickness=".075em"}if(j.padding==null){j.padding=".2em"}ac=this.HTMLcreateSpan(ac);var V=this.HTMLgetMu(ac),af=this.HTMLgetScale();var X=b.length2em(j.padding,V,1/b.em)*af;var N=b.length2em(j.thickness,V,1/b.em);var E=b.Em(N)+" solid";var z=b.createStack(ac);var v=b.createBox(z);this.HTMLmeasureChild(0,v);var K=v.bbox.h+X+N,P=v.bbox.d+X+N,o=v.bbox.w+2*(X+N);var O=b.createFrame(z,K+P,0,o,N,"none");O.id="MathJax-frame-"+this.spanID;b.addBox(z,O);z.insertBefore(O,v);var s=0,U=0,u=0,A=0,M=0,J=0;var S,g;var I,ad,Q;if(!j.mathcolor){j.mathcolor="black"}else{ac.style.color=j.mathcolor}var k=MathJax.Hub.SplitList(j.notation),q={};for(var ab=0,Z=k.length;ab<Z;ab++){q[k[ab]]=true}if(q[a.NOTATION.UPDIAGONALARROW]){q[a.NOTATION.UPDIAGONALSTRIKE]=false}var G;for(var Y in q){if(!q.hasOwnProperty(Y)||!q[Y]){continue}switch(Y){case a.NOTATION.BOX:O.style.border=E;if(!b.msieBorderWidthBug){s=U=A=u=N}break;case a.NOTATION.ROUNDEDBOX:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}Q=Math.floor(1000*Math.min(o,K+P)-2*N);I=Math.floor(4000*(o-2*N)),ad=Math.floor(4000*(K+P-2*N));this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)},path:"m "+Q+",0 qx 0,"+Q+" l 0,"+(ad-Q)+" qy "+Q+","+ad+" l "+(I-Q)+","+ad+" qx "+I+","+(ad-Q)+" l "+I+","+Q+" qy "+(I-Q)+",0 x e",coordsize:I+","+ad})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"rect",{x:1,y:1,width:this.HTMLpx(o-N)-1,height:this.HTMLpx(K+P-N)-1,rx:this.HTMLpx(Math.min(K+P,o)/4)})}break;case a.NOTATION.CIRCLE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"oval",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)}})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"ellipse",{rx:this.HTMLpx(o/2-N),ry:this.HTMLpx((K+P)/2-N),cx:this.HTMLpx(o/2),cy:this.HTMLpx((K+P)/2)})}break;case a.NOTATION.LEFT:O.style.borderLeft=E;if(!b.msieBorderWidthBug){A=N}break;case a.NOTATION.ACTUARIAL:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N;O.bbox.w+=X-N}case a.NOTATION.RIGHT:O.style.borderRight=E;if(!b.msieBorderWidthBug){u=N}break;case a.NOTATION.VERTICALSTRIKE:G=b.createRule(z,K+P-N/2,0,N);b.addBox(z,G);b.placeBox(G,X+N+v.bbox.w/2,-P,true);break;case a.NOTATION.TOP:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N}break;case a.NOTATION.BOTTOM:O.style.borderBottom=E;if(!b.msieBorderWidthBug){U=N}break;case a.NOTATION.HORIZONTALSTRIKE:G=b.createRule(z,N,0,o-N/2);b.addBox(z,G);b.placeBox(G,0,(K+P)/2-P,true);break;case a.NOTATION.UPDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+",0"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(N)})}break;case a.NOTATION.UPDIAGONALARROW:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+","+this.HTMLpx(N)});this.HTMLvmlElement(G,"stroke",{endarrow:"classic"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}var aa=Math.sqrt(o*o+(K+P)*(K+P)),ae=1/aa*10*af/b.em*N/0.075;I=o*ae;ad=(K+P)*ae;var F=o-N/2,C=N/2;if(C+ad-0.4*I<0){C=0.4*I-ad}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(F-0.7*I),y2:this.HTMLpx(C+0.7*ad)});this.HTMLsvgElement(S.firstChild,"polygon",{points:this.HTMLpx(F)+","+this.HTMLpx(C)+" "+this.HTMLpx(F-I-0.4*ad)+","+this.HTMLpx(C+ad-0.4*I)+" "+this.HTMLpx(F-0.7*I)+","+this.HTMLpx(C+0.7*ad)+" "+this.HTMLpx(F-I+0.4*ad)+","+this.HTMLpx(C+ad+0.4*I)+" "+this.HTMLpx(F)+","+this.HTMLpx(C),fill:j.mathcolor,stroke:"none"})}break;case a.NOTATION.DOWNDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,0",to:this.HTMLpx(o)+","+this.HTMLpx(K+P-N)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(K+P-N)})}break;case a.NOTATION.MADRUWB:O.style.borderBottom=E;O.style.borderRight=E;if(!b.msieBorderWidthBug){U=u=N}break;case a.NOTATION.RADICAL:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(N/2,0.6*(K+P))+" l "+this.HTMLpt(X,K+P-N)+" "+this.HTMLpt(2*X,N/2)+" "+this.HTMLpt(o,N/2)+" e",coordsize:this.HTMLpt(o,K+P)});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M 1,"+this.HTMLpx(0.6*(K+P))+" L "+this.HTMLpx(X)+","+this.HTMLpx(K+P)+" L "+this.HTMLpx(2*X)+",1 L "+this.HTMLpx(o)+",1"});b.placeBox(S.parentNode,0,X/2-P,true);M=X;J=N}break;case a.NOTATION.LONGDIV:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(N/2),to:this.HTMLpx(o-N)+","+this.HTMLpx(N/2)});this.HTMLvmlElement(g,"arc",{style:{width:this.HTMLpx(2*X),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(-X),top:this.HTMLpx(N)},startangle:"10",endangle:"170"});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(o)+",1 L 1,1 a"+this.HTMLpx(X)+","+this.HTMLpx((K+P)/2-N)+" 0 0,1 1,"+this.HTMLpx(K+P-2*N)});b.placeBox(S.parentNode,0,N-P,true);M=X;J=N}break}}O.style.width=b.Em(o-A-u);O.style.height=b.Em(K+P-s-U);b.placeBox(O,0,J-P,true);b.placeBox(v,M+X+N,0);this.HTMLhandleSpace(ac);this.HTMLhandleColor(ac);return ac},HTMLpx:function(g){return(g*b.em)},HTMLpt:function(g,h){return Math.floor(1000*g)+","+Math.floor(1000*h)},HTMLhandleColor:function(h){var i=document.getElementById("MathJax-frame-"+this.spanID);if(i){var g=this.getValues("mathbackground","background");if(this.style&&h.style.backgroundColor){g.mathbackground=h.style.backgroundColor;h.style.backgroundColor=""}if(g.background&&!this.mathbackground){g.mathbackground=g.background}if(g.mathbackground&&g.mathbackground!==a.COLOR.TRANSPARENT){i.style.backgroundColor=g.mathbackground}}else{this.SUPER(arguments).HTMLhandleColor.call(this,h)}},HTMLsvg:function(h,l,m,g,k,j){var i=document.createElementNS(c,"svg");if(i.style){i.style.width=b.Em(g);i.style.height=b.Em(l+m)}var n=b.createBox(h);n.appendChild(i);b.placeBox(n,0,-m,true);this.HTMLsvgElement(i,"g",{fill:"none",stroke:j,"stroke-width":k*b.em});return i},HTMLsvgElement:function(g,h,i){var j=document.createElementNS(c,h);j.isMathJax=true;if(i){for(var k in i){if(i.hasOwnProperty(k)){j.setAttributeNS(null,k,i[k].toString())}}}g.appendChild(j);return j},HTMLvml:function(i,l,m,h,k,j){var g=b.createFrame(i,l+m,0,h,0,"none");b.addBox(i,g);b.placeBox(g,0,-m,true);this.constructor.VMLcolor=j;this.constructor.VMLthickness=this.HTMLpx(k);return g},HTMLvmlElement:function(g,h,i){var j=b.addElement(g,e+":"+h,{isMathJax:true});j.style.position="absolute";j.style.left=j.style.top=0;MathJax.Hub.Insert(j,i);if(!i.fillcolor){j.fillcolor="none"}if(!i.strokecolor){j.strokecolor=this.constructor.VMLcolor}if(!i.strokeweight){j.strokeweight=this.constructor.VMLthickness}return j}});MathJax.Hub.Browser.Select({MSIE:function(g){if((document.documentMode||0)<9){a.menclose.Augment({HTMLpx:function(i,h){return(i*b.em+(h||0))+"px"}});b.useVML=true;if(!document.namespaces[e]){if(document.documentMode&&document.documentMode===8){document.namespaces.add(e,f,"#default#VML")}else{document.namespaces.add(e,f);document.createStyleSheet().addRule(e+"\\: *","{behavior: url(#default#VML)}")}}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS menclose Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/menclose.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(ac){var j=this.getValues("notation","thickness","padding","mathcolor","color");if(j.color&&!this.mathcolor){j.mathcolor=j.color}if(j.thickness==null){j.thickness=".075em"}if(j.padding==null){j.padding=".2em"}ac=this.HTMLcreateSpan(ac);var V=this.HTMLgetMu(ac),af=this.HTMLgetScale();var X=b.length2em(j.padding,V,1/b.em)*af;var N=b.length2em(j.thickness,V,1/b.em)*af;N=Math.max(1/b.em,N);var E=b.Em(N)+" solid";var z=b.createStack(ac);var v=b.createBox(z);this.HTMLmeasureChild(0,v);var K=v.bbox.h+X+N,P=v.bbox.d+X+N,o=v.bbox.w+2*(X+N);var O=b.createFrame(z,K+P,0,o,N,"none");O.id="MathJax-frame-"+this.spanID;b.addBox(z,O);z.insertBefore(O,v);var s=0,U=0,u=0,A=0,M=0,J=0;var S,g;var I,ad,Q;if(!j.mathcolor){j.mathcolor="black"}else{ac.style.color=j.mathcolor}var k=MathJax.Hub.SplitList(j.notation),q={};for(var ab=0,Z=k.length;ab<Z;ab++){q[k[ab]]=true}if(q[a.NOTATION.UPDIAGONALARROW]){q[a.NOTATION.UPDIAGONALSTRIKE]=false}var G;for(var Y in q){if(!q.hasOwnProperty(Y)||!q[Y]){continue}switch(Y){case a.NOTATION.BOX:O.style.border=E;if(!b.msieBorderWidthBug){s=U=A=u=N}break;case a.NOTATION.ROUNDEDBOX:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}Q=Math.floor(1000*Math.min(o,K+P)-2*N);I=Math.floor(4000*(o-2*N)),ad=Math.floor(4000*(K+P-2*N));this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)},path:"m "+Q+",0 qx 0,"+Q+" l 0,"+(ad-Q)+" qy "+Q+","+ad+" l "+(I-Q)+","+ad+" qx "+I+","+(ad-Q)+" l "+I+","+Q+" qy "+(I-Q)+",0 x e",coordsize:I+","+ad})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"rect",{x:1,y:1,width:this.HTMLpx(o-N)-1,height:this.HTMLpx(K+P-N)-1,rx:this.HTMLpx(Math.min(K+P,o)/4)})}break;case a.NOTATION.CIRCLE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"oval",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)}})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"ellipse",{rx:this.HTMLpx(o/2-N),ry:this.HTMLpx((K+P)/2-N),cx:this.HTMLpx(o/2),cy:this.HTMLpx((K+P)/2)})}break;case a.NOTATION.LEFT:O.style.borderLeft=E;if(!b.msieBorderWidthBug){A=N}break;case a.NOTATION.ACTUARIAL:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N;O.bbox.w+=X-N}case a.NOTATION.RIGHT:O.style.borderRight=E;if(!b.msieBorderWidthBug){u=N}break;case a.NOTATION.VERTICALSTRIKE:G=b.createRule(z,K+P-N/2,0,N);b.addBox(z,G);b.placeBox(G,X+N+v.bbox.w/2,-P,true);break;case a.NOTATION.TOP:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N}break;case a.NOTATION.BOTTOM:O.style.borderBottom=E;if(!b.msieBorderWidthBug){U=N}break;case a.NOTATION.HORIZONTALSTRIKE:G=b.createRule(z,N,0,o-N/2);b.addBox(z,G);b.placeBox(G,0,(K+P)/2-P,true);break;case a.NOTATION.UPDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+",0"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(N)})}break;case a.NOTATION.UPDIAGONALARROW:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+","+this.HTMLpx(N)});this.HTMLvmlElement(G,"stroke",{endarrow:"classic"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}var aa=Math.sqrt(o*o+(K+P)*(K+P)),ae=1/aa*10*this.scale/b.em*N/0.075;I=o*ae;ad=(K+P)*ae;var F=o-N/2,C=N/2;if(C+ad-0.4*I<0){C=0.4*I-ad}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(F-0.7*I),y2:this.HTMLpx(C+0.7*ad)});this.HTMLsvgElement(S.firstChild,"polygon",{points:this.HTMLpx(F)+","+this.HTMLpx(C)+" "+this.HTMLpx(F-I-0.4*ad)+","+this.HTMLpx(C+ad-0.4*I)+" "+this.HTMLpx(F-0.7*I)+","+this.HTMLpx(C+0.7*ad)+" "+this.HTMLpx(F-I+0.4*ad)+","+this.HTMLpx(C+ad+0.4*I)+" "+this.HTMLpx(F)+","+this.HTMLpx(C),fill:j.mathcolor,stroke:"none"})}break;case a.NOTATION.DOWNDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,0",to:this.HTMLpx(o)+","+this.HTMLpx(K+P-N)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(K+P-N)})}break;case a.NOTATION.PHASORANGLE:o-=2*X;X=(K+P)/2;o+=X;if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(X+N/2,N/2)+" l "+this.HTMLpt(N/2,K+P-N)+" "+this.HTMLpt(o-N/2,K+P-N)+" e",coordsize:this.HTMLpt(o,K+P)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(X)+",1L 1,"+this.HTMLpx(K+P-N)+" L "+this.HTMLpx(o)+","+this.HTMLpx(K+P-N)});b.placeBox(S.parentNode,0,-P,true)}break;case a.NOTATION.MADRUWB:O.style.borderBottom=E;O.style.borderRight=E;if(!b.msieBorderWidthBug){U=u=N}break;case a.NOTATION.RADICAL:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(N/2,0.6*(K+P))+" l "+this.HTMLpt(X,K+P-N)+" "+this.HTMLpt(2*X,N/2)+" "+this.HTMLpt(o,N/2)+" e",coordsize:this.HTMLpt(o,K+P)});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M 1,"+this.HTMLpx(0.6*(K+P))+" L "+this.HTMLpx(X)+","+this.HTMLpx(K+P)+" L "+this.HTMLpx(2*X)+",1 L "+this.HTMLpx(o)+",1"});b.placeBox(S.parentNode,0,X/2-P,true);M=X;J=N}break;case a.NOTATION.LONGDIV:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(N/2),to:this.HTMLpx(o-N)+","+this.HTMLpx(N/2)});this.HTMLvmlElement(g,"arc",{style:{width:this.HTMLpx(2*X),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(-X),top:this.HTMLpx(N)},startangle:"10",endangle:"170"});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(o)+",1 L 1,1 a"+this.HTMLpx(X)+","+this.HTMLpx((K+P)/2-N)+" 0 0,1 1,"+this.HTMLpx(K+P-2*N)});b.placeBox(S.parentNode,0,N-P,true);M=X;J=N}break}}O.style.width=b.Em(o-A-u);O.style.height=b.Em(K+P-s-U);b.placeBox(O,0,J-P,true);b.placeBox(v,M+X+N,0);this.HTMLhandleSpace(ac);this.HTMLhandleColor(ac);return ac},HTMLpx:function(g){return(g*b.em)},HTMLpt:function(g,h){return Math.floor(1000*g)+","+Math.floor(1000*h)},HTMLhandleColor:function(h){var i=document.getElementById("MathJax-frame-"+this.spanID);if(i){var g=this.getValues("mathbackground","background");if(this.style&&h.style.backgroundColor){g.mathbackground=h.style.backgroundColor;h.style.backgroundColor=""}if(g.background&&!this.mathbackground){g.mathbackground=g.background}if(g.mathbackground&&g.mathbackground!==a.COLOR.TRANSPARENT){i.style.backgroundColor=g.mathbackground}}else{this.SUPER(arguments).HTMLhandleColor.call(this,h)}},HTMLsvg:function(h,l,m,g,k,j){var i=document.createElementNS(c,"svg");if(i.style){i.style.width=b.Em(g);i.style.height=b.Em(l+m)}var n=b.createBox(h);n.appendChild(i);b.placeBox(n,0,-m,true);this.HTMLsvgElement(i,"g",{fill:"none",stroke:j,"stroke-width":k*b.em});return i},HTMLsvgElement:function(g,h,i){var j=document.createElementNS(c,h);j.isMathJax=true;if(i){for(var k in i){if(i.hasOwnProperty(k)){j.setAttributeNS(null,k,i[k].toString())}}}g.appendChild(j);return j},HTMLvml:function(i,l,m,h,k,j){var g=b.createFrame(i,l+m,0,h,0,"none");b.addBox(i,g);b.placeBox(g,0,-m,true);this.constructor.VMLcolor=j;this.constructor.VMLthickness=this.HTMLpx(k);return g},HTMLvmlElement:function(g,h,i){var j=b.addElement(g,e+":"+h,{isMathJax:true});j.style.position="absolute";j.style.left=j.style.top=0;MathJax.Hub.Insert(j,i);if(!i.fillcolor){j.fillcolor="none"}if(!i.strokecolor){j.strokecolor=this.constructor.VMLcolor}if(!i.strokeweight){j.strokeweight=this.constructor.VMLthickness}return j}});MathJax.Hub.Browser.Select({MSIE:function(g){if((document.documentMode||0)<9){a.menclose.Augment({HTMLpx:function(i,h){return(i*b.em+(h||0))+"px"}});b.useVML=true;if(!document.namespaces[e]){if(document.documentMode&&document.documentMode===8){document.namespaces.add(e,f,"#default#VML")}else{document.namespaces.add(e,f);document.createStyleSheet().addRule(e+"\\: *","{behavior: url(#default#VML)}")}}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS menclose Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/menclose.js")});
diff --git a/jax/output/HTML-CSS/autoload/mglyph.js b/jax/output/HTML-CSS/autoload/mglyph.js
index 4570a3ddb..e37f9e9e1 100644
--- a/jax/output/HTML-CSS/autoload/mglyph.js
+++ b/jax/output/HTML-CSS/autoload/mglyph.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"],d=MathJax.Localization;a.mglyph.Augment({toHTML:function(k,g){var j=k,l=this.getValues("src","width","height","valign","alt"),f;k=this.HTMLcreateSpan(k);if(l.src===""){var i=this.Get("index");if(i){g=this.HTMLgetVariant();var e=g.defaultFont;if(e){e.noStyleChar=true;e.testString=String.fromCharCode(i)+"ABCabc";if(b.Font.testFont(e)){this.HTMLhandleVariant(k,g,String.fromCharCode(i))}else{if(l.alt===""){l.alt=d._(["MathML","BadMglyphFont"],"Bad font: %1",e.family)}f=a.Error(l.alt,{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[l.src]}if(!this.img){this.img=a.mglyph.GLYPH[l.src]={img:new Image(),status:"pending"};var h=this.img.img;h.onload=MathJax.Callback(["HTMLimgLoaded",this]);h.onerror=MathJax.Callback(["HTMLimgError",this]);h.src=l.src;MathJax.Hub.RestartAfter(h.onload)}if(this.img.status!=="OK"){f=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",l.src),{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}else{var m=this.HTMLgetMu(k);h=b.addElement(k,"img",{isMathJax:true,src:l.src,alt:l.alt,title:l.alt});if(l.width){if(String(l.width).match(/^\s*-?\d+\s*$/)){l.width+="px"}h.style.width=b.Em(b.length2em(l.width,m,this.img.img.width/b.em))}if(l.height){if(String(l.height).match(/^\s*-?\d+\s*$/)){l.height+="px"}h.style.height=b.Em(b.length2em(l.height,m,this.img.img.height/b.em))}k.bbox.w=k.bbox.rw=h.offsetWidth/b.em;k.bbox.h=h.offsetHeight/b.em;if(l.valign){if(String(l.valign).match(/^\s*-?\d+\s*$/)){l.valign+="px"}k.bbox.d=-b.length2em(l.valign,m,this.img.img.height/b.em);h.style.verticalAlign=b.Em(-k.bbox.d);k.bbox.h-=k.bbox.d}}}if(!j.bbox){j.bbox={w:k.bbox.w,h:k.bbox.h,d:k.bbox.d,rw:k.bbox.rw,lw:k.bbox.lw}}else{if(k.bbox){j.bbox.w+=k.bbox.w;if(j.bbox.w>j.bbox.rw){j.bbox.rw=j.bbox.w}if(k.bbox.h>j.bbox.h){j.bbox.h=k.bbox.h}if(k.bbox.d>j.bbox.d){j.bbox.d=k.bbox.d}}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.img.status=(e||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"],d=MathJax.Localization;a.mglyph.Augment({toHTML:function(k,g){var j=k,l=this.getValues("src","width","height","valign","alt"),f;k=this.HTMLcreateSpan(k);if(l.src===""){var i=this.Get("index");if(i){g=this.HTMLgetVariant();var e=g.defaultFont;if(e){e.noStyleChar=true;e.testString=String.fromCharCode(i)+"ABCabc";if(b.Font.testFont(e)){this.HTMLhandleVariant(k,g,String.fromCharCode(i))}else{if(l.alt===""){l.alt=d._(["MathML","BadMglyphFont"],"Bad font: %1",e.family)}f=a.Error(l.alt,{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[l.src]}if(!this.img){this.img=a.mglyph.GLYPH[l.src]={img:new Image(),status:"pending"};var h=this.img.img;h.onload=MathJax.Callback(["HTMLimgLoaded",this]);h.onerror=MathJax.Callback(["HTMLimgError",this]);h.src=l.src;MathJax.Hub.RestartAfter(h.onload)}if(this.img.status!=="OK"){f=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",l.src),{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}else{var m=this.HTMLgetMu(k);h=b.addElement(k,"img",{isMathJax:true,src:l.src,alt:l.alt,title:l.alt});if(l.width){h.style.width=b.Em(b.length2em(l.width,m,this.img.img.width/b.em))}if(l.height){h.style.height=b.Em(b.length2em(l.height,m,this.img.img.height/b.em))}k.bbox.w=k.bbox.rw=h.offsetWidth/b.em;k.bbox.h=h.offsetHeight/b.em;if(l.valign){k.bbox.d=-b.length2em(l.valign,m,this.img.img.height/b.em);h.style.verticalAlign=b.Em(-k.bbox.d);k.bbox.h-=k.bbox.d}}}if(!j.bbox){j.bbox={w:k.bbox.w,h:k.bbox.h,d:k.bbox.d,rw:k.bbox.rw,lw:k.bbox.lw}}else{if(k.bbox){j.bbox.w+=k.bbox.w;if(j.bbox.w>j.bbox.rw){j.bbox.rw=j.bbox.w}if(k.bbox.h>j.bbox.h){j.bbox.h=k.bbox.h}if(k.bbox.d>j.bbox.d){j.bbox.d=k.bbox.d}}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.img.status=(e||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
diff --git a/jax/output/HTML-CSS/autoload/mmultiscripts.js b/jax/output/HTML-CSS/autoload/mmultiscripts.js
index 334368781..7d73155d2 100644
--- a/jax/output/HTML-CSS/autoload/mmultiscripts.js
+++ b/jax/output/HTML-CSS/autoload/mmultiscripts.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(K,I,C){K=this.HTMLcreateSpan(K);var Q=this.HTMLgetScale();var m=b.createStack(K),f;var k=b.createBox(m);if(this.data[this.base]){var l=this.data[this.base].toHTML(k);if(C!=null){this.data[this.base].HTMLstretchV(k,I,C)}else{if(I!=null){this.data[this.base].HTMLstretchH(k,I)}}b.Measured(l,k)}else{k.bbox=this.HTMLzeroBBox()}var O=b.TeX.x_height*Q,B=b.TeX.scriptspace*Q*0.75;var A=this.HTMLgetScripts(m,B);var n=A[0],e=A[1],x=A[2],j=A[3];var g=this.HTMLgetScale();for(var L=1;L<this.data.length;L++){if(this.data[L]&&this.data[L].spanID){g=this.data[L].HTMLgetScale();break}}var F=b.TeX.sup_drop*g,E=b.TeX.sub_drop*g;var y=k.bbox.h-F,w=k.bbox.d+E,P=0,H;if(k.bbox.ic){P=k.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&k.bbox.scale===1&&!this.data[this.base].Get("largeop")){y=w=0}}var J=this.getValues("subscriptshift","superscriptshift"),G=this.HTMLgetMu(K);J.subscriptshift=(J.subscriptshift===""?0:b.length2em(J.subscriptshift,G));J.superscriptshift=(J.superscriptshift===""?0:b.length2em(J.superscriptshift,G));var o=0;if(x){o=x.bbox.w+P}else{if(j){o=j.bbox.w-P}}if(o<0){o=0}b.placeBox(k,o,0);if(!e&&!j){w=Math.max(w,b.TeX.sub1*Q,J.subscriptshift);if(n){w=Math.max(w,n.bbox.h-(4/5)*O)}if(x){w=Math.max(w,x.bbox.h-(4/5)*O)}if(n){b.placeBox(n,o+k.bbox.w+B-P,-w)}if(x){b.placeBox(x,0,-w)}}else{if(!n&&!x){f=this.getValues("displaystyle","texprimestyle");H=b.TeX[(f.displaystyle?"sup1":(f.texprimestyle?"sup3":"sup2"))];y=Math.max(y,H*Q,J.superscriptshift);if(e){y=Math.max(y,e.bbox.d+(1/4)*O)}if(j){y=Math.max(y,j.bbox.d+(1/4)*O)}if(e){b.placeBox(e,o+k.bbox.w+B,y)}if(j){b.placeBox(j,0,y)}}else{w=Math.max(w,b.TeX.sub2*Q);var z=b.TeX.rule_thickness*Q;var M=(n||x).bbox.h,N=(e||j).bbox.d;if(x){M=Math.max(M,x.bbox.h)}if(j){N=Math.max(N,j.bbox.d)}if((y-N)-(M-w)<3*z){w=3*z-y+N+M;F=(4/5)*O-(y-N);if(F>0){y+=F;w-=F}}y=Math.max(y,J.superscriptshift);w=Math.max(w,J.subscriptshift);if(e){b.placeBox(e,o+k.bbox.w+B,y)}if(j){b.placeBox(j,o+P-j.bbox.w,y)}if(n){b.placeBox(n,o+k.bbox.w+B-P,-w)}if(x){b.placeBox(x,o-x.bbox.w,-w)}}}this.HTMLhandleSpace(K);this.HTMLhandleColor(K);return K},HTMLgetScripts:function(p,q){var o,d,e=[];var n=1,g=this.data.length,f=0;for(var h=0;h<4;h+=2){while(n<g&&this.data[n].type!=="mprescripts"){for(var l=h;l<h+2;l++){if(this.data[n]&&this.data[n].type!=="none"){if(!e[l]){e[l]=b.createBox(p);e[l].bbox=this.HTMLemptyBBox({});if(f){b.createBlank(e[l],f);e[l].bbox.w=e[l].bbox.rw=f}}this.data[n].toHTML(e[l]);this.HTMLcombineBBoxes(this.data[n],e[l].bbox)}n++}d=e[h];o=e[h+1];if(d&&o){if(d.bbox.w<o.bbox.w){b.createBlank(d,o.bbox.w-d.bbox.w);d.bbox.w=o.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(d.bbox.w>o.bbox.w){b.createBlank(o,d.bbox.w-o.bbox.w);o.bbox.w=d.bbox.w;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}}}if(d){f=d.bbox.w}else{if(o){f=o.bbox.w}}}n++;f=0}for(l=0;l<4;l++){if(e[l]){e[l].bbox.w+=q;e[l].bbox.rw=Math.max(e[l].bbox.w,e[l].bbox.rw);this.HTMLcleanBBox(e[l].bbox)}}return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(L,J,E){L=this.HTMLcreateSpan(L);var R=this.HTMLgetScale();var n=b.createStack(L),g;var l=b.createBox(n);if(this.data[this.base]){var m=this.data[this.base].toHTML(l);if(E!=null){this.data[this.base].HTMLstretchV(l,J,E)}else{if(J!=null){this.data[this.base].HTMLstretchH(l,J)}}b.Measured(m,l)}else{l.bbox=this.HTMLzeroBBox()}var P=b.TeX.x_height*R,C=b.TeX.scriptspace*R*0.75;var B=this.HTMLgetScripts(n,C);var o=B[0],f=B[1],y=B[2],k=B[3];var j=R;for(var M=1;M<this.data.length;M++){if(this.data[M]&&this.data[M].spanID){j=this.data[M].HTMLgetScale();break}}var G=b.TeX.sup_drop*j,F=b.TeX.sub_drop*j;var z=l.bbox.h-G,x=l.bbox.d+F,Q=0,I;if(l.bbox.ic){Q=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=x=0}}var K=this.getValues("subscriptshift","superscriptshift"),H=this.HTMLgetMu(L);K.subscriptshift=(K.subscriptshift===""?0:b.length2em(K.subscriptshift,H));K.superscriptshift=(K.superscriptshift===""?0:b.length2em(K.superscriptshift,H));var w=0;if(y){w=y.bbox.w+Q}else{if(k){w=k.bbox.w-Q}}if(w<0){w=0}b.placeBox(l,w,0);if(!f&&!k){x=Math.max(x,b.TeX.sub1*R,K.subscriptshift);if(o){x=Math.max(x,o.bbox.h-(4/5)*P)}if(y){x=Math.max(x,y.bbox.h-(4/5)*P)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,0,-x)}}else{if(!o&&!y){g=this.getValues("displaystyle","texprimestyle");I=b.TeX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];z=Math.max(z,I*R,K.superscriptshift);if(f){z=Math.max(z,f.bbox.d+(1/4)*P)}if(k){z=Math.max(z,k.bbox.d+(1/4)*P)}if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,0,z)}}else{x=Math.max(x,b.TeX.sub2*R);var A=b.TeX.rule_thickness*R;var N=(o||y).bbox.h,O=(f||k).bbox.d;if(y){N=Math.max(N,y.bbox.h)}if(k){O=Math.max(O,k.bbox.d)}if((z-O)-(N-x)<3*A){x=3*A-z+O+N;G=(4/5)*P-(z-O);if(G>0){z+=G;x-=G}}z=Math.max(z,K.superscriptshift);x=Math.max(x,K.subscriptshift);if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,w+Q-k.bbox.w,z)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,w-y.bbox.w,-x)}}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);var e=L.bbox;e.dx=w;e.s=C;e.u=z;e.v=x;e.delta=Q;e.px=w+l.bbox.w;return L},HTMLgetScripts:function(p,q){var o,d,e=[];var n=1,g=this.data.length,f=0;for(var h=0;h<4;h+=2){while(n<g&&this.data[n].type!=="mprescripts"){for(var l=h;l<h+2;l++){if(this.data[n]&&this.data[n].type!=="none"){if(!e[l]){e[l]=b.createBox(p);e[l].bbox=this.HTMLemptyBBox({});if(f){b.createBlank(e[l],f);e[l].bbox.w=e[l].bbox.rw=f}}this.data[n].toHTML(e[l]);this.HTMLcombineBBoxes(this.data[n],e[l].bbox)}n++}d=e[h];o=e[h+1];if(d&&o){if(d.bbox.w<o.bbox.w){b.createBlank(d,o.bbox.w-d.bbox.w);d.bbox.w=o.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(d.bbox.w>o.bbox.w){b.createBlank(o,d.bbox.w-o.bbox.w);o.bbox.w=d.bbox.w;o.bbox.rw=Math.max(o.bbox.w,o.bbox.rw)}}}if(d){f=d.bbox.w}else{if(o){f=o.bbox.w}}}n++;f=0}for(l=0;l<4;l++){if(e[l]){e[l].bbox.w+=q;e[l].bbox.rw=Math.max(e[l].bbox.w,e[l].bbox.rw);e[l].bbox.name=(["sub","sup","presub","presup"])[l];this.HTMLcleanBBox(e[l].bbox)}}return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
diff --git a/jax/output/HTML-CSS/autoload/ms.js b/jax/output/HTML-CSS/autoload/ms.js
index 6ed5df68a..4d06c1e8b 100644
--- a/jax/output/HTML-CSS/autoload/ms.js
+++ b/jax/output/HTML-CSS/autoload/ms.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote");var g=this.data.join("");var f=[];if(d.lquote.length===1){f.push(this.HTMLquoteRegExp(d.lquote))}if(d.rquote.length===1){f.push(this.HTMLquoteRegExp(d.rquote))}if(f.length){g=g.replace(RegExp("("+f.join("|")+")","g"),"\\$1")}this.HTMLhandleVariant(e,this.HTMLgetVariant(),d.lquote+g+d.rquote);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);this.HTMLhandleDir(e);return e},HTMLquoteRegExp:function(d){return d.replace(/([.*+?|{}()\[\]\\])/g,"\\$1")}});a.ms.prototype.defaults.mathvariant="monospace";MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote");var f=this.data.join("");this.HTMLhandleVariant(e,this.HTMLgetVariant(),d.lquote+f+d.rquote);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);this.HTMLhandleDir(e);return e}});a.ms.prototype.defaults.mathvariant="monospace";MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
diff --git a/jax/output/HTML-CSS/autoload/mtable.js b/jax/output/HTML-CSS/autoload/mtable.js
index 7a74777cc..baca3776e 100644
--- a/jax/output/HTML-CSS/autoload/mtable.js
+++ b/jax/output/HTML-CSS/autoload/mtable.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aJ=K.width.match(/%$/);var ay=b.createStack(t);var aG=this.HTMLgetScale(),aA=this.HTMLgetMu(t),aB=-1;var aq=[],au=[],ak=[],aw=[],av=[],af,ae,ap=-1,ad,ao,Z,aF,R,aC,aO=[];var al=b.FONTDATA.baselineskip*aG*K.useHeight,aT,I=b.FONTDATA.lineH*aG,O=b.FONTDATA.lineD*aG;for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);aw[af]=[];aq[af]=au[af]=0;for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){if(ak[ae]==null){if(ae>ap){ap=ae}av[ae]=b.createStack(b.createBox(ay));ak[ae]=-b.BIGDIMEN}aw[af][ae]=b.createBox(av[ae]);aO.push(aF.data[ae-Z].toHTML(aw[af][ae]))}}b.MeasureSpans(aO);for(af=0,ad=this.data.length;af<ad;af++){aF=this.data[af];Z=(aF.type==="mlabeledtr"?aB:0);for(ae=Z,ao=aF.data.length+Z;ae<ao;ae++){R=aF.data[ae-Z];if(R.isMultiline){aw[af][ae].style.width="100%"}if(R.isEmbellished()){aC=R.CoreMO();var aS=aC.Get("minsize",true);if(aS){var aL=aC.HTMLspanElement().bbox;if(aC.HTMLcanStretch("Vertical")){aT=aL.h+aL.d;if(aT){aS=b.length2em(aS,aA,aT);if(aS*aL.h/aT>aq[af]){aq[af]=aS*aL.h/aT}if(aS*aL.d/aT>au[af]){au[af]=aS*aL.d/aT}}}else{if(aC.HTMLcanStretch("Horizontal")){aS=b.length2em(aS,aA,aL.w);if(aS>ak[ae]){ak[ae]=aS}}}}}if(aw[af][ae].bbox.h>aq[af]){aq[af]=aw[af][ae].bbox.h}if(aw[af][ae].bbox.d>au[af]){au[af]=aw[af][ae].bbox.d}if(aw[af][ae].bbox.w>ak[ae]){ak[ae]=aw[af][ae].bbox.w}}}if(aq[0]+au[0]){aq[0]=Math.max(aq[0],I)}if(aq[aw.length-1]+au[aw.length-1]){au[aw.length-1]=Math.max(au[aw.length-1],O)}var aE=MathJax.Hub.SplitList;var az=aE(K.columnspacing),aQ=aE(K.rowspacing),e=aE(K.columnalign),E=aE(K.rowalign),d=aE(K.columnlines),z=aE(K.rowlines),aM=aE(K.columnwidth),V=[];for(af=0,ad=az.length;af<ad;af++){az[af]=b.length2em(az[af],aA)}for(af=0,ad=aQ.length;af<ad;af++){aQ[af]=b.length2em(aQ[af],aA)}while(az.length<ap){az.push(az[az.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aM.length<=ap){aM.push(aM[aM.length-1])}while(aQ.length<aw.length){aQ.push(aQ[aQ.length-1])}while(E.length<=aw.length){E.push(E[E.length-1])}while(z.length<aw.length){z.push(z[z.length-1])}if(av[aB]){e[aB]=(K.side.substr(0,1)==="l"?"left":"right");az[aB]=-ak[aB]}for(af=0,ad=aw.length;af<ad;af++){aF=this.data[af];V[af]=[];if(aF.rowalign){E[af]=aF.rowalign}if(aF.columnalign){V[af]=aE(aF.columnalign);while(V[af].length<=ap){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aD=Math.max.apply(Math,aq),X=Math.max.apply(Math,au);for(af=0,ad=aw.length;af<ad;af++){Z=((aD+X)-(aq[af]+au[af]))/2;aq[af]+=Z;au[af]+=Z}}aT=aq[0]+au[aw.length-1];for(af=0,ad=aw.length-1;af<ad;af++){aT+=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}var aI=0,aH=0,aV,g=aT;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aE(K.framespacing);if(w.length!=2){w=aE(this.defaults.framespacing)}aI=b.length2em(w[0],aA);aH=b.length2em(w[1],aA);g=aT+2*aH}var aj,aU,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=aw.length+1+ab}if(ab<1){ab=1}else{if(ab>aw.length){ab=aw.length}}aj=0;aU=-(aT+aH)+aq[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af]);aj+=N;aU+=N}}else{aj=({top:-(aq[0]+aH),bottom:aT+aH-aq[0],center:aT/2-aq[0],baseline:aT/2-aq[0],axis:aT/2+b.TeX.axis_height*aG-aq[0]})[K.align];aU=({top:-(aT+2*aH),bottom:0,center:-(aT/2+aH),baseline:-(aT/2+aH),axis:b.TeX.axis_height*aG-aT/2-aH})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,an=[],at=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aJ){ac=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){aM[af]=ac}ac=0;ag=1;ah=ap+1;for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac+=az[af]}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}ac/=ap+1;for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ap+1,aM.length);af<ad;af++){if(aM[af]==="auto"){B+=ak[af]}else{if(aM[af]==="fit"){at[ah]=af;ah++;B+=ak[af]}else{if(aM[af].match(/%$/)){an[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aM[af],aA,1)}else{ak[af]=b.length2em(aM[af],aA);B+=ak[af]}}}}if(aJ){ac=0;for(af=0,ad=Math.min(ap,az.length);af<ad;af++){ac+=az[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,aA);for(af=0,ad=Math.min(ap+1,az.length);af<ad;af++){ac-=az[af]}}for(af=0,ad=an.length;af<ad;af++){ak[an[af]]=b.length2em(aM[an[af]],aA,ac*S);B+=ak[an[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=at.length;af<ad;af++){ak[at[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ap;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ap;ae++){ak[ae]=Q}}}}var T=aj,o,r,aR;Z=(av[aB]?aB:0);for(ae=Z;ae<=ap;ae++){for(af=0,ad=aw.length;af<ad;af++){if(aw[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aB:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){aw[af][ae].bbox=R.HTMLstretchH(av[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aC=R.CoreMO();var aK=aC.symmetric;aC.symmetric=false;aw[af][ae].bbox=R.HTMLstretchV(av[ae],aq[af],au[af]).bbox;aw[af][ae].HH=null;aC.symmetric=aK}}aR=R.rowalign||this.data[af].rowalign||E[af];o=({top:aq[af]-aw[af][ae].bbox.h,bottom:aw[af][ae].bbox.d-au[af],center:((aq[af]-au[af])-(aw[af][ae].bbox.h-aw[af][ae].bbox.d))/2,baseline:0,axis:0})[aR]||0;aR=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(aw[af][ae],aR,T+o)}if(af<aw.length-1){T-=Math.max((aq[af]+au[af]?al:0),au[af]+aq[af+1]+aQ[af])}}T=aj}if(aJ){var G=b.createBox(ay);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aI);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ay.bbox}var aP=0,aW=aI,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ap+1);l=B/(ap+1)}for(ae=0;ae<=ap;ae++){b.placeBox(av[ae].parentNode,0,0);av[ae].style.position="relative";av[ae].style.left=b.Em(aW);av[ae].style.width="100%";av[ae].parentNode.parentNode.removeChild(av[ae].parentNode);var am=b.createBox(G);b.addBox(am,av[ae]);av[ae]=am;var h=am.style;h.display="inline-block";h.left=aP+"%";if(aM[ae].match(/%$/)){var u=parseFloat(aM[ae])*S;if(ah===0){h.width=(k+u)+"%";aP+=k+u;am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l);aW-=l}else{h.width=u+"%";aP+=u}}else{if(aM[ae]==="fit"||ah===0){h.width=k+"%";am=b.createBox(am);b.addBox(am,av[ae].firstChild);am.style.left=0;am.style.right=b.Em(l-ak[ae]);aW+=ak[ae]-l;aP+=k}else{h.width=b.Em(ak[ae]);aW+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(am.firstChild,b.NBSP);am.firstChild.style.position="relative"}aW+=az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createBox(G);r.style.left=aP+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ay.bbox;b.placeBox(r,aW-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}else{var U=aI;for(ae=0;ae<=ap;ae++){if(!av[ae].bbox.width){b.setStackWidth(av[ae],ak[ae])}if(aM[ae]!=="auto"&&aM[ae]!=="fit"){av[ae].bbox.width=ak[ae];av[ae].bbox.isFixed=true}b.placeBox(av[ae].parentNode,U,0);U+=ak[ae]+az[ae];if(d[ae]!=="none"&&ae<ap&&ae!==aB){r=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-az[ae]/2,aU,true);r.style.borderStyle=d[ae]}}}ay.bbox.d=-aU;ay.bbox.h=g+aU;b.setStackWidth(ay,ay.bbox.w+aI);aV=ay.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ay,g,0,aV,1.25/b.em,K.frame);b.addBox(ay,ai);b.placeBox(ai,0,aU,true);if(aJ){ai.style.width="100%"}}T=aj;for(af=0,ad=aw.length-1;af<ad;af++){o=Math.max(al,au[af]+aq[af+1]+aQ[af]);if(z[af]!=="none"){r=b.createRule(ay,1.25/b.em,0,aV);b.addBox(ay,r);r.bbox={h:1.25/b.em,d:0,w:aV,rw:aV,lw:0};b.placeBox(r,0,T-au[af]-(o-au[af]-aq[af+1])/2,true);if(z[af]==="dashed"||aJ){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aJ){r.style.width="100%"}}}T-=o}if(aJ){t.bbox.width=K.width;ay.style.width="100%"}if(av[aB]){var ax=ay.bbox.w,q;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift=this.displayIndent}var aN=b.createStack(t,false,"100%");b.addBox(aN,ay);b.alignBox(ay,ar.indentalign,0);if(ar.indentshift&&ar.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(ar.indentshift,aA);ax+=q;ay.style[ar.indentalign]=b.Em(q)}av[aB].parentNode.parentNode.removeChild(av[aB].parentNode);b.addBox(aN,av[aB]);b.alignBox(av[aB],e[aB],0);if(b.msieRelativeWidthBug){ay.style.top=av[aB].style.top=""}if(aJ){ay.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,aA);av[aB].style.marginRight=av[aB].style.marginLeft=b.Em(q);if(ar.indentalign===a.INDENTALIGN.CENTER){ax+=4*q+2*av[aB].bbox.w}else{if(ar.indentalign!==e[aB]){ax+=2*q+av[aB].bbox.w}}t.style.minWidth=t.bbox.minWidth=aN.style.minWidth=aN.bbox.minWidth=b.Em(ax)}if(!aJ){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aJ){if(!ai){ai=b.createFrame(ay,g,0,aV,0,"none");b.addBox(ay,ai);b.placeBox(ai,0,aU,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(t){t=this.HTMLcreateSpan(t);if(this.data.length===0){return t}var K=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aI=K.width.match(/%$/);var ax=b.createStack(t);var aF=this.HTMLgetScale(),az=this.HTMLgetMu(t),aA=-1;var ap=[],at=[],ak=[],av=[],au=[],af,ae,ao=-1,ad,an,Z,aE,R,aB,aN=[],aS;var I=b.FONTDATA.lineH*aF*K.useHeight,O=b.FONTDATA.lineD*aF*K.useHeight;for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);av[af]=[];ap[af]=I;at[af]=O;for(ae=Z,an=aE.data.length+Z;ae<an;ae++){if(ak[ae]==null){if(ae>ao){ao=ae}au[ae]=b.createStack(b.createBox(ax));ak[ae]=-b.BIGDIMEN}av[af][ae]=b.createBox(au[ae]);aN.push(aE.data[ae-Z].toHTML(av[af][ae]))}}b.MeasureSpans(aN);for(af=0,ad=this.data.length;af<ad;af++){aE=this.data[af];Z=(aE.type==="mlabeledtr"?aA:0);for(ae=Z,an=aE.data.length+Z;ae<an;ae++){R=aE.data[ae-Z];if(R.isMultiline){av[af][ae].style.width="100%"}if(R.isEmbellished()){aB=R.CoreMO();var aR=aB.Get("minsize",true);if(aR){var aK=aB.HTMLspanElement().bbox;if(aB.HTMLcanStretch("Vertical")){aS=aK.h+aK.d;if(aS){aR=b.length2em(aR,az,aS);if(aR*aK.h/aS>ap[af]){ap[af]=aR*aK.h/aS}if(aR*aK.d/aS>at[af]){at[af]=aR*aK.d/aS}}}else{if(aB.HTMLcanStretch("Horizontal")){aR=b.length2em(aR,az,aK.w);if(aR>ak[ae]){ak[ae]=aR}}}}}if(av[af][ae].bbox.h>ap[af]){ap[af]=av[af][ae].bbox.h}if(av[af][ae].bbox.d>at[af]){at[af]=av[af][ae].bbox.d}if(av[af][ae].bbox.w>ak[ae]){ak[ae]=av[af][ae].bbox.w}}}var aD=MathJax.Hub.SplitList;var ay=aD(K.columnspacing),aP=aD(K.rowspacing),e=aD(K.columnalign),E=aD(K.rowalign),d=aD(K.columnlines),z=aD(K.rowlines),aL=aD(K.columnwidth),V=[];for(af=0,ad=ay.length;af<ad;af++){ay[af]=b.length2em(ay[af],az)}for(af=0,ad=aP.length;af<ad;af++){aP[af]=b.length2em(aP[af],az)}while(ay.length<ao){ay.push(ay[ay.length-1])}while(e.length<=ao){e.push(e[e.length-1])}while(d.length<ao){d.push(d[d.length-1])}while(aL.length<=ao){aL.push(aL[aL.length-1])}while(aP.length<av.length){aP.push(aP[aP.length-1])}while(E.length<=av.length){E.push(E[E.length-1])}while(z.length<av.length){z.push(z[z.length-1])}if(au[aA]){e[aA]=(K.side.substr(0,1)==="l"?"left":"right");ay[aA]=-ak[aA]}for(af=0,ad=av.length;af<ad;af++){aE=this.data[af];V[af]=[];if(aE.rowalign){E[af]=aE.rowalign}if(aE.columnalign){V[af]=aD(aE.columnalign);while(V[af].length<=ao){V[af].push(V[af][V[af].length-1])}}}if(K.equalrows){var aC=Math.max.apply(Math,ap),X=Math.max.apply(Math,at);for(af=0,ad=av.length;af<ad;af++){Z=((aC+X)-(ap[af]+at[af]))/2;ap[af]+=Z;at[af]+=Z}}aS=ap[0]+at[av.length-1];for(af=0,ad=av.length-1;af<ad;af++){aS+=Math.max(0,at[af]+ap[af+1]+aP[af])}var aH=0,aG=0,aU,g=aS;if(K.frame!=="none"||(K.columnlines+K.rowlines).match(/solid|dashed/)){var w=aD(K.framespacing);if(w.length!=2){w=aD(this.defaults.framespacing)}aH=b.length2em(w[0],az);aG=b.length2em(w[1],az);g=aS+2*aG}var aj,aT,ab="";if(typeof(K.align)!=="string"){K.align=String(K.align)}if(K.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){ab=RegExp.$3;K.align=RegExp.$1}else{K.align=this.defaults.align}if(ab!==""){ab=parseInt(ab);if(ab<0){ab=av.length+1+ab}if(ab<1){ab=1}else{if(ab>av.length){ab=av.length}}aj=0;aT=-(aS+aG)+ap[0];for(af=0,ad=ab-1;af<ad;af++){var N=Math.max(0,at[af]+ap[af+1]+aP[af]);aj+=N;aT+=N}}else{aj=({top:-(ap[0]+aG),bottom:aS+aG-ap[0],center:aS/2-ap[0],baseline:aS/2-ap[0],axis:aS/2+b.TeX.axis_height*aF-ap[0]})[K.align];aT=({top:-(aS+2*aG),bottom:0,center:-(aS/2+aG),baseline:-(aS/2+aG),axis:b.TeX.axis_height*aF-aS/2-aG})[K.align]}var ac,ag=0,B=0,L=0,aa=0,ah=0,am=[],ar=[],S=1;if(K.equalcolumns&&K.width!=="auto"){if(aI){ac=(100/(ao+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){aL[af]=ac}ac=0;ag=1;ah=ao+1;for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac+=ay[af]}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}ac/=ao+1;for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){ak[af]=ac}}}else{for(af=0,ad=Math.min(ao+1,aL.length);af<ad;af++){if(aL[af]==="auto"){B+=ak[af]}else{if(aL[af]==="fit"){ar[ah]=af;ah++;B+=ak[af]}else{if(aL[af].match(/%$/)){am[aa]=af;aa++;L+=ak[af];ag+=b.length2em(aL[af],az,1)}else{ak[af]=b.length2em(aL[af],az);B+=ak[af]}}}}if(aI){ac=0;for(af=0,ad=Math.min(ao,ay.length);af<ad;af++){ac+=ay[af]}if(ag>0.98){S=0.98/ag;ag=0.98}}else{if(K.width==="auto"){if(ag>0.98){S=L/(B+L);ac=B+L}else{ac=B/(1-ag)}}else{ac=b.length2em(K.width,az);for(af=0,ad=Math.min(ao+1,ay.length);af<ad;af++){ac-=ay[af]}}for(af=0,ad=am.length;af<ad;af++){ak[am[af]]=b.length2em(aL[am[af]],az,ac*S);B+=ak[am[af]]}if(Math.abs(ac-B)>0.01){if(ah&&ac>B){ac=(ac-B)/ah;for(af=0,ad=ar.length;af<ad;af++){ak[ar[af]]+=ac}}else{ac=ac/B;for(ae=0;ae<=ao;ae++){ak[ae]*=ac}}}if(K.equalcolumns){var Q=Math.max.apply(Math,ak);for(ae=0;ae<=ao;ae++){ak[ae]=Q}}}}var T=aj,o,r,aQ;Z=(au[aA]?aA:0);for(ae=Z;ae<=ao;ae++){for(af=0,ad=av.length;af<ad;af++){if(av[af][ae]){Z=(this.data[af].type==="mlabeledtr"?aA:0);R=this.data[af].data[ae-Z];if(R.HTMLcanStretch("Horizontal")){av[af][ae].bbox=R.HTMLstretchH(au[ae],ak[ae]).bbox}else{if(R.HTMLcanStretch("Vertical")){aB=R.CoreMO();var aJ=aB.symmetric;aB.symmetric=false;av[af][ae].bbox=R.HTMLstretchV(au[ae],ap[af],at[af]).bbox;av[af][ae].HH=null;if(av[af][ae].bbox.h>ap[af]){av[af][ae].bbox.H=av[af][ae].bbox.h;av[af][ae].bbox.h=ap[af]}if(av[af][ae].bbox.d>at[af]){av[af][ae].bbox.D=av[af][ae].bbox.d;av[af][ae].bbox.d=at[af]}aB.symmetric=aJ}}aQ=R.rowalign||this.data[af].rowalign||E[af];o=({top:ap[af]-av[af][ae].bbox.h,bottom:av[af][ae].bbox.d-at[af],center:((ap[af]-at[af])-(av[af][ae].bbox.h-av[af][ae].bbox.d))/2,baseline:0,axis:0})[aQ]||0;aQ=(R.columnalign||V[af][ae]||e[ae]);b.alignBox(av[af][ae],aQ,T+o)}if(af<av.length-1){T-=Math.max(0,at[af]+ap[af+1]+aP[af])}}T=aj}if(aI){var G=b.createBox(ax);G.style.left=G.style.top=0;G.style.right=b.Em(ac+2*aH);G.style.display="inline-block";G.style.height="0px";if(b.msieRelativeWidthBug){G=b.createBox(G);G.style.position="relative";G.style.height="1em";G.style.width="100%";G.bbox=ax.bbox}var aO=0,aV=aH,k,l;if(ah){k=100*(1-ag)/ah,l=B/ah}else{k=100*(1-ag)/(ao+1);l=B/(ao+1)}for(ae=0;ae<=ao;ae++){b.placeBox(au[ae].parentNode,0,0);au[ae].style.position="relative";au[ae].style.left=b.Em(aV);au[ae].style.width="100%";au[ae].parentNode.parentNode.removeChild(au[ae].parentNode);var al=b.createBox(G);b.addBox(al,au[ae]);au[ae]=al;var h=al.style;h.display="inline-block";h.left=aO+"%";if(aL[ae].match(/%$/)){var u=parseFloat(aL[ae])*S;if(ah===0){h.width=(k+u)+"%";aO+=k+u;al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l);aV-=l}else{h.width=u+"%";aO+=u}}else{if(aL[ae]==="fit"||ah===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,au[ae].firstChild);al.style.left=0;al.style.right=b.Em(l-ak[ae]);aV+=ak[ae]-l;aO+=k}else{h.width=b.Em(ak[ae]);aV+=ak[ae]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}aV+=ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createBox(G);r.style.left=aO+"%";r=b.createRule(r,g,0,1.25/b.em);r.style.position="absolute";r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};r.parentNode.bbox=ax.bbox;b.placeBox(r,aV-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}else{var U=aH;for(ae=0;ae<=ao;ae++){if(!au[ae].bbox.width){b.setStackWidth(au[ae],ak[ae])}if(aL[ae]!=="auto"&&aL[ae]!=="fit"){au[ae].bbox.width=ak[ae];au[ae].bbox.isFixed=true}b.placeBox(au[ae].parentNode,U,0);U+=ak[ae]+ay[ae];if(d[ae]!=="none"&&ae<ao&&ae!==aA){r=b.createRule(ax,g,0,1.25/b.em);b.addBox(ax,r);r.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(r,U-ay[ae]/2,aT,true);r.style.borderStyle=d[ae]}}}ax.bbox.d=-aT;ax.bbox.h=g+aT;b.setStackWidth(ax,ax.bbox.w+aH);aU=ax.bbox.w;var ai;if(K.frame!=="none"){ai=b.createFrame(ax,g,0,aU,1.25/b.em,K.frame);b.addBox(ax,ai);b.placeBox(ai,0,aT,true);if(aI){ai.style.width="100%"}}T=aj;for(af=0,ad=av.length-1;af<ad;af++){o=Math.max(0,at[af]+ap[af+1]+aP[af]);if(z[af]!=="none"){r=b.createRule(ax,1.25/b.em,0,aU);b.addBox(ax,r);r.bbox={h:1.25/b.em,d:0,w:aU,rw:aU,lw:0};b.placeBox(r,0,T-at[af]-(o-at[af]-ap[af+1])/2,true);if(z[af]==="dashed"||aI){r.style.borderTop=r.style.height+" "+z[af];r.style.height=0;r.style.width=r.style.borderLeftWidth;r.style.borderLeft="";if(aI){r.style.width="100%"}}}T-=o}if(aI){t.bbox.width=K.width;ax.style.width="100%"}if(au[aA]){var aw=ax.bbox.w,q;var aq=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(aq.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){aq.indentalign=aq.indentalignfirst}if(aq.indentalign===a.INDENTALIGN.AUTO){aq.indentalign=this.displayAlign}if(aq.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){aq.indentshift=aq.indentshiftfirst}if(aq.indentshift==="auto"){aq.indentshift=this.displayIndent}var aM=b.createStack(t,false,"100%");b.addBox(aM,ax);b.alignBox(ax,aq.indentalign,0);if(aq.indentshift&&aq.indentalign!==a.INDENTALIGN.CENTER){q=b.length2em(aq.indentshift,az);aw+=q;ax.style[aq.indentalign]=b.Em(q)}au[aA].parentNode.parentNode.removeChild(au[aA].parentNode);b.addBox(aM,au[aA]);b.alignBox(au[aA],e[aA],0);if(b.msieRelativeWidthBug){ax.style.top=au[aA].style.top=""}if(aI){ax.style.width=K.width;t.bbox.width="100%"}q=b.length2em(K.minlabelspacing,az);au[aA].style.marginRight=au[aA].style.marginLeft=b.Em(q);if(aq.indentalign===a.INDENTALIGN.CENTER){aw+=4*q+2*au[aA].bbox.w}else{if(aq.indentalign!==e[aA]){aw+=2*q+au[aA].bbox.w}}t.style.minWidth=t.bbox.minWidth=aM.style.minWidth=aM.bbox.minWidth=b.Em(aw)}if(!aI){this.HTMLhandleSpace(t)}var v=this.HTMLhandleColor(t);if(v&&aI){if(!ai){ai=b.createFrame(ax,g,0,aU,0,"none");b.addBox(ax,ai);b.placeBox(ai,0,aT,true);ai.style.width="100%"}ai.style.backgroundColor=v.style.backgroundColor;ai.parentNode.insertBefore(ai,ai.parentNode.firstChild);v.parentNode.removeChild(v)}return t},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.style.paddingLeft=d.style.paddingRight=b.Em(1/6)}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
diff --git a/jax/output/HTML-CSS/autoload/multiline.js b/jax/output/HTML-CSS/autoload/multiline.js
index 50c6a3b48..e04c9ffc1 100644
--- a/jax/output/HTML-CSS/autoload/multiline.js
+++ b/jax/output/HTML-CSS/autoload/multiline.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.3";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mbase.Augment({HTMLlinebreakPenalty:e,HTMLmultiline:function(n){var o=this;while(o.inferred||(o.parent&&o.parent.type==="mrow"&&o.parent.data.length===1)){o=o.parent}var l=((o.type==="math"&&o.Get("display")==="block")||o.type==="mtd");o.isMultiline=true;var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}p.lineleading=b.length2em(p.lineleading,1,0.5);this.HTMLremoveColor(n);var m=b.createStack(n);var f={n:0,Y:0,scale:this.HTMLgetScale(),isTop:l,values:{},VALUES:p},k=this.HTMLgetAlign(f,{}),h=this.HTMLgetShift(f,{},k),g=[],i={index:[],penalty:e.nobreak,w:0,W:h,shift:h,scanW:h,nest:0},j=false;while(this.HTMLbetterBreak(i,f)&&(i.scanW>=b.linebreakWidth||i.penalty==e.newline)){this.HTMLaddLine(m,g,i.index,f,i.values,j);g=i.index.slice(0);j=true;k=this.HTMLgetAlign(f,i.values);h=this.HTMLgetShift(f,i.values,k);if(k===a.INDENTALIGN.CENTER){h=0}i.W=i.shift=i.scanW=h;i.penalty=e.nobreak}f.isLast=true;this.HTMLaddLine(m,g,[],f,c,j);if(l){m.style.width="100%";if(o.type==="math"){n.bbox.width="100%"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);n.bbox.isMultiline=true;return n},HTMLbetterBreak:function(h,f){if(this.isToken){return false}if(this.isEmbellished()){h.embellished=this;return this.CoreMO().HTMLbetterBreak(h,f)}if(this.linebreakContainer){return false}var p=h.index.slice(0),n=h.index.shift(),l=this.data.length,k,q,j,o=(h.index.length>0),g=false;if(n==null){n=-1}if(!o){n++;h.W+=h.w;h.w=0}j=h.scanW=h.W;h.nest++;while(n<l&&h.scanW<1.33*b.linebreakWidth){if(this.data[n]){if(this.data[n].HTMLbetterBreak(h,f)){g=true;p=[n].concat(h.index);k=h.W;q=h.w;if(h.penalty===e.newline){h.index=p;if(h.nest){h.nest--}return true}}j=(o?h.scanW:this.HTMLaddWidth(n,h,j))}h.index=[];n++;o=false}if(h.nest){h.nest--}h.index=p;if(g){h.W=k;h.w=q}return g},HTMLaddWidth:function(f,j,h){if(this.data[f]){var g=this.data[f].HTMLspanElement();h+=g.bbox.w;if(g.style.paddingLeft){h+=b.unEm(g.style.paddingLeft)}if(g.style.paddingRight){h+=b.unEm(g.style.paddingRight)}j.W=j.scanW=h;j.w=0}return h},HTMLaddLine:function(n,g,j,f,o,l){line=b.createBox(n);line.bbox=this.HTMLemptyBBox({});f.first=l;f.last=true;this.HTMLmoveLine(g,j,line,f,o);this.HTMLcleanBBox(line.bbox);var m=this.HTMLgetAlign(f,o),h=this.HTMLgetShift(f,o,m);if(h){b.createBlank(line,h,(m!==a.INDENTALIGN.RIGHT));line.bbox.w+=h;line.bbox.rw+=h}if(f.n>0){var k=b.FONTDATA.baselineskip*f.scale;var i=(f.values.lineleading==null?f.VALUES:f.values).lineleading;f.Y-=Math.max(k,f.d+line.bbox.h+i)}b.alignBox(line,m,f.Y);f.d=line.bbox.d;f.values=o;f.n++},HTMLgetAlign:function(i,f){var j=f,g=i.values,h=i.VALUES,k;if(i.n===0){k=j.indentalignfirst||g.indentalignfirst||h.indentalignfirst}else{if(i.isLast){k=g.indentalignlast||h.indentalignlast}else{k=g.indentalign||h.indentalign}}if(k===a.INDENTALIGN.INDENTALIGN){k=g.indentalign||h.indentalign}if(k===a.INDENTALIGN.AUTO){k=(i.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return k},HTMLgetShift:function(j,g,l){if(l===a.INDENTALIGN.CENTER){return 0}var k=g,h=j.values,i=j.VALUES,f;if(j.n===0){f=k.indentshiftfirst||h.indentshiftfirst||i.indentshiftfirst}else{if(j.isLast){f=h.indentshiftlast||i.indentshiftlast}else{f=h.indentshift||i.indentshift}}if(f===a.INDENTSHIFT.INDENTSHIFT){f=h.indentshift||i.indentshift}if(f==="auto"||f===""){f=(j.isTSop?this.displayIndent:"0")}return b.length2em(f,0)},HTMLmoveLine:function(o,f,l,n,g){var k=o[0],h=f[0];if(k==null){k=-1}if(h==null){h=this.data.length-1}if(k===h&&o.length>1){this.data[k].HTMLmoveSlice(o.slice(1),f.slice(1),l,n,g,"paddingLeft")}else{var m=n.last;n.last=false;while(k<h){if(this.data[k]){if(o.length<=1){this.data[k].HTMLmoveSpan(l,n,g)}else{this.data[k].HTMLmoveSlice(o.slice(1),[],l,n,g,"paddingLeft")}}k++;n.first=false;o=[]}n.last=m;if(this.data[k]){if(f.length<=1){this.data[k].HTMLmoveSpan(l,n,g)}else{this.data[k].HTMLmoveSlice([],f.slice(1),l,n,g,"paddingRight")}}}},HTMLmoveSlice:function(g,j,m,f,o,k){this.HTMLremoveColor();var l=this.HTMLcreateSliceSpan(m);this.HTMLmoveLine(g,j,l,f,o);l.style[k]="";this.HTMLcombineBBoxes(l,m.bbox);this.HTMLcleanBBox(l.bbox);if(j.length===0){m=this.HTMLspanElement();m.parentNode.removeChild(m);m.nextMathJaxSpan.id=m.id;var h=0;while(m=m.nextMathJaxSpan){var i=this.HTMLhandleColor(m);if(i){i.id+="-MathJax-Continue-"+h;h++}}}return l},HTMLcreateSliceSpan:function(g){var j=this.HTMLspanElement(),i=0;var f=j;while(f.nextMathJaxSpan){f=f.nextMathJaxSpan;i++}var h=j.cloneNode(false);f.nextMathJaxSpan=h;h.nextMathJaxSpan=null;h.id+="-MathJax-Continue-"+i;h.bbox=this.HTMLemptyBBox({});return g.appendChild(h)},HTMLmoveSpan:function(f,j,h){if(!(j.first||j.last)||(j.first&&j.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(j.last&&h.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var g=document.getElementById("MathJax-Color-"+this.spanID+b.idPostfix);if(g){f.appendChild(g)}var i=this.HTMLspanElement();f.appendChild(i);if(j.last){i.style.paddingRight=""}if(j.first||j.nextIsFirst){delete j.nextIsFirst;i.style.paddingLeft="";if(g){this.HTMLremoveColor(i);this.HTMLhandleColor(i)}}this.HTMLcombineBBoxes(this,f.bbox)}else{if(j.first){j.nextIsFirst=true}else{delete j.nextIsFirst}}}});a.mfenced.Augment({HTMLbetterBreak:function(h,f){var t=h.index.slice(0),r=h.index.shift(),o=this.data.length,n,u,l,s=(h.index.length>0),g=false;if(r==null){r=-1}if(!s){r++;h.W+=h.w;h.w=0}l=h.scanW=h.W;h.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(o){this.dataI.push(0)}for(var q=1;q<o;q++){if(this.data["sep"+q]){this.dataI.push("sep"+q)}this.dataI.push(q)}if(this.data.close){this.dataI.push("close")}}o=this.dataI.length;while(r<o&&h.scanW<1.33*b.linebreakWidth){var p=this.dataI[r];if(this.data[p]){if(this.data[p].HTMLbetterBreak(h,f)){g=true;t=[r].concat(h.index);n=h.W;u=h.w;if(h.penalty===e.newline){h.index=t;if(h.nest){h.nest--}return true}}l=(s?h.scanW:this.HTMLaddWidth(r,h,l))}h.index=[];r++;s=false}if(h.nest){h.nest--}h.index=t;if(g){h.W=n;h.w=u}return g},HTMLmoveLine:function(g,l,o,f,q){var n=g[0],m=l[0];if(n==null){n=-1}if(m==null){m=this.dataI.length-1}if(n===m&&g.length>1){this.data[this.dataI[n]].HTMLmoveSlice(g.slice(1),l.slice(1),o,f,q,"paddingLeft")}else{var p=f.last;f.last=false;var h=this.dataI[n];while(n<m){if(this.data[h]){if(g.length<=1){this.data[h].HTMLmoveSpan(o,f,q)}else{this.data[h].HTMLmoveSlice(g.slice(1),[],o,f,q,"paddingLeft")}}n++;h=this.dataI[n];f.first=false;g=[]}f.last=p;if(this.data[h]){if(l.length<=1){this.data[h].HTMLmoveSpan(o,f,q)}else{this.data[h].HTMLmoveSlice([],l.slice(1),o,f,q,"paddingRight")}}}}});a.msubsup.Augment({HTMLbetterBreak:function(h,f){if(!this.data[this.base]){return false}var n=h.index.slice(0),l=h.index.shift(),k,o,j,m=(h.index.length>0),g=false;if(!m){h.W+=h.w;h.w=0}j=h.scanW=h.W;if(l==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(h,f)){g=true;n=[this.base].concat(h.index);k=h.W;o=h.w;if(h.penalty===e.newline){g=m=true}}if(!m){this.HTMLaddWidth(this.base,h,j)}h.scanW+=this.HTMLdw;h.W=h.scanW;h.index=[];if(g){h.W=k;h.w=o;h.index=n}return g},HTMLmoveLine:function(m,g,j,l,h){if(this.data[this.base]){if(m.length>1){this.data[this.base].HTMLmoveSlice(m.slice(1),g.slice(1),j,l,h,"paddingLeft")}else{if(g.length<=1){this.data[this.base].HTMLmoveSpan(j,l,h)}else{this.data[this.base].HTMLmoveSlice([],g.slice(1),j,l,h,"paddingRight")}}}if(g.length===0){var i=this.data[this.sup]||this.data[this.sub];if(i){var k=i.HTMLspanElement().parentNode,f=k.parentNode;if(this.data[this.base]){f.removeChild(f.firstChild)}for(k=f.firstChild;k;k=k.nextSibling){k.style.left=b.Em(b.unEm(k.style.left)-this.HTMLbaseW)}f.bbox.w-=this.HTMLbaseW;f.style.width=b.Em(f.bbox.w);this.HTMLcombineBBoxes(f,j.bbox);j.appendChild(f)}}}});a.mo.Augment({HTMLbetterBreak:function(h,f){if(h.values&&h.values.id===this.spanID){return false}var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===a.TEXCLASS.OPEN){h.nest++}if(p.texClass===a.TEXCLASS.CLOSE&&h.nest){h.nest--}var i=h.scanW,j=(h.embellished||this);delete h.embellished;var n=j.HTMLspanElement(),o=n.bbox.w;if(n.style.paddingLeft){o+=b.unEm(n.style.paddingLeft)}if(p.linebreakstyle===a.LINEBREAKSTYLE.AFTER){i+=o;o=0}if(i-h.shift===0){return false}var k=b.linebreakWidth-i;if(f.n===0&&(p.indentshiftfirst!==f.VALUES.indentshiftfirst||p.indentalignfirst!==f.VALUES.indentalignfirst)){var l=this.HTMLgetAlign(f,p),g=this.HTMLgetShift(f,p,l);k+=(h.shift-g)}var m=Math.floor(k/b.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}if(p.fence){m+=e.fence}if((p.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&p.texClass===a.TEXCLASS.OPEN)||p.texClass===a.TEXCLASS.CLOSE){m+=e.close}m+=h.nest*e.nestfactor;var q=e[p.linebreak||a.LINEBREAK.AUTO];if(!(q instanceof Array)){if(k>=0){m=q*h.nest}}else{m=Math.max(1,m+q[0]*h.nest)}if(m>=h.penalty){return false}h.penalty=m;h.values=p;h.W=i;h.w=o;p.lineleading=b.length2em(p.lineleading,f.VALUES.lineleading);p.id=this.spanID;return true}});a.mspace.Augment({HTMLbetterBreak:function(g,f){if(g.values&&g.values.id===this.spanID){return false}var n=this.getValues("linebreak");var k=n.linebreak;if(!k||this.hasDimAttr()){k=a.LINEBREAK.AUTO}var h=g.scanW,l=this.HTMLspanElement(),m=l.bbox.w;if(l.style.paddingLeft){m+=b.unEm(l.style.paddingLeft)}if(h-g.shift===0){return false}var i=b.linebreakWidth-h;var j=Math.floor(i/b.linebreakWidth*1000);if(j<0){j=e.toobig-3*j}j+=g.nest*e.nestfactor;var o=e[k];if(k===a.LINEBREAK.AUTO&&m>=e.spacelimit){o=[(m+e.spaceoffset)*e.spacefactor]}if(!(o instanceof Array)){if(i>=0){j=o*g.nest}}else{j=Math.max(1,j+o[0]*g.nest)}if(j>=g.penalty){return false}g.penalty=j;g.values=n;g.W=h;g.w=m;n.lineleading=f.VALUES.lineleading;n.linebreakstyle="before";n.id=this.spanID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)}})});a.maction.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)},HTMLmoveSlice:function(g,i,l,f,m,j){var o=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(o){o.parentNode.removeChild(o)}var k=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(i.length===0){l=this.HTMLspanElement();var h=0;while(l){o=this.HTMLhandleHitBox(l,"-Continue-"+h);l=l.nextMathJaxSpan;h++}}return k}});a.semantics.Augment({HTMLbetterBreak:function(g,f){return(this.data[0]?this.data[0].HTMLbetterBreak(g,f):false)},HTMLmoveLine:function(j,f,h,i,g){return(this.data[0]?this.data[0].HTMLmoveSlice(j,f,h,i,g):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.4-beta";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mbase.Augment({HTMLlinebreakPenalty:e,HTMLmultiline:function(n){var o=this;while(o.inferred||(o.parent&&o.parent.type==="mrow"&&o.parent.data.length===1)){o=o.parent}var l=((o.type==="math"&&o.Get("display")==="block")||o.type==="mtd");o.isMultiline=true;var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}p.lineleading=b.length2em(p.lineleading,1,0.5);this.HTMLremoveColor(n);var m=b.createStack(n);this.HTMLgetScale();var f={n:0,Y:0,scale:this.scale||1,isTop:l,values:{},VALUES:p},k=this.HTMLgetAlign(f,{}),h=this.HTMLgetShift(f,{},k),g=[],i={index:[],penalty:e.nobreak,w:0,W:h,shift:h,scanW:h,nest:0},j=false;while(this.HTMLbetterBreak(i,f)&&(i.scanW>=b.linebreakWidth||i.penalty===e.newline)){this.HTMLaddLine(m,g,i.index,f,i.values,j);g=i.index.slice(0);j=true;k=this.HTMLgetAlign(f,i.values);h=this.HTMLgetShift(f,i.values,k);if(k===a.INDENTALIGN.CENTER){h=0}i.W=i.shift=i.scanW=h;i.penalty=e.nobreak}f.isLast=true;this.HTMLaddLine(m,g,[],f,c,j);if(l){m.style.width="100%";if(o.type==="math"){n.bbox.width="100%"}}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);n.bbox.isMultiline=true;return n},HTMLbetterBreak:function(h,f){if(this.isToken){return false}if(this.isEmbellished()){h.embellished=this;return this.CoreMO().HTMLbetterBreak(h,f)}if(this.linebreakContainer){return false}var p=h.index.slice(0),n=h.index.shift(),l=this.data.length,k,q,j,o=(h.index.length>0),g=false;if(n==null){n=-1}if(!o){n++;h.W+=h.w;h.w=0}j=h.scanW=h.W;h.nest++;while(n<l&&h.scanW<1.33*b.linebreakWidth){if(this.data[n]){if(this.data[n].HTMLbetterBreak(h,f)){g=true;p=[n].concat(h.index);k=h.W;q=h.w;if(h.penalty===e.newline){h.index=p;if(h.nest){h.nest--}return true}}j=(o?h.scanW:this.HTMLaddWidth(n,h,j))}h.index=[];n++;o=false}if(h.nest){h.nest--}h.index=p;if(g){h.W=k;h.w=q}return g},HTMLaddWidth:function(f,j,h){if(this.data[f]){var g=this.data[f].HTMLspanElement();h+=g.bbox.w;if(g.style.paddingLeft){h+=b.unEm(g.style.paddingLeft)}if(g.style.paddingRight){h+=b.unEm(g.style.paddingRight)}j.W=j.scanW=h;j.w=0}return h},HTMLaddLine:function(n,g,j,f,o,l){line=b.createBox(n);line.bbox=this.HTMLemptyBBox({});f.first=l;f.last=true;this.HTMLmoveLine(g,j,line,f,o);this.HTMLcleanBBox(line.bbox);var m=this.HTMLgetAlign(f,o),h=this.HTMLgetShift(f,o,m);if(h){b.createBlank(line,h,(m!==a.INDENTALIGN.RIGHT));line.bbox.w+=h;line.bbox.rw+=h}if(f.n>0){var k=b.FONTDATA.baselineskip*f.scale;var i=(f.values.lineleading==null?f.VALUES:f.values).lineleading*f.scale;f.Y-=Math.max(k,f.d+line.bbox.h+i)}b.alignBox(line,m,f.Y);f.d=line.bbox.d;f.values=o;f.n++},HTMLgetAlign:function(i,f){var j=f,g=i.values,h=i.VALUES,k;if(i.n===0){k=j.indentalignfirst||g.indentalignfirst||h.indentalignfirst}else{if(i.isLast){k=g.indentalignlast||h.indentalignlast}else{k=g.indentalign||h.indentalign}}if(k===a.INDENTALIGN.INDENTALIGN){k=g.indentalign||h.indentalign}if(k===a.INDENTALIGN.AUTO){k=(i.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return k},HTMLgetShift:function(j,g,l){if(l===a.INDENTALIGN.CENTER){return 0}var k=g,h=j.values,i=j.VALUES,f;if(j.n===0){f=k.indentshiftfirst||h.indentshiftfirst||i.indentshiftfirst}else{if(j.isLast){f=h.indentshiftlast||i.indentshiftlast}else{f=h.indentshift||i.indentshift}}if(f===a.INDENTSHIFT.INDENTSHIFT){f=h.indentshift||i.indentshift}if(f==="auto"||f===""){f=(j.isTSop?this.displayIndent:"0")}return b.length2em(f,0)},HTMLmoveLine:function(o,f,l,n,g){var k=o[0],h=f[0];if(k==null){k=-1}if(h==null){h=this.data.length-1}if(k===h&&o.length>1){this.data[k].HTMLmoveSlice(o.slice(1),f.slice(1),l,n,g,"paddingLeft")}else{var m=n.last;n.last=false;while(k<h){if(this.data[k]){if(o.length<=1){this.data[k].HTMLmoveSpan(l,n,g)}else{this.data[k].HTMLmoveSlice(o.slice(1),[],l,n,g,"paddingLeft")}}k++;n.first=false;o=[]}n.last=m;if(this.data[k]){if(f.length<=1){this.data[k].HTMLmoveSpan(l,n,g)}else{this.data[k].HTMLmoveSlice([],f.slice(1),l,n,g,"paddingRight")}}}},HTMLmoveSlice:function(g,j,m,f,o,k){this.HTMLremoveColor();var l=this.HTMLcreateSliceSpan(m);this.HTMLmoveLine(g,j,l,f,o);l.style[k]="";this.HTMLcombineBBoxes(l,m.bbox);this.HTMLcleanBBox(l.bbox);if(j.length===0){m=this.HTMLspanElement();m.parentNode.removeChild(m);m.nextMathJaxSpan.id=m.id;var h=0;while(m=m.nextMathJaxSpan){var i=this.HTMLhandleColor(m);if(i){i.id+="-MathJax-Continue-"+h;h++}}}return l},HTMLcreateSliceSpan:function(g){var j=this.HTMLspanElement(),i=0;var f=j;while(f.nextMathJaxSpan){f=f.nextMathJaxSpan;i++}var h=j.cloneNode(false);f.nextMathJaxSpan=h;h.nextMathJaxSpan=null;h.id+="-MathJax-Continue-"+i;h.bbox=this.HTMLemptyBBox({});return g.appendChild(h)},HTMLmoveSpan:function(f,j,h){if(!(j.first||j.last)||(j.first&&j.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(j.last&&h.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var g=document.getElementById("MathJax-Color-"+this.spanID+b.idPostfix);if(g){f.appendChild(g)}var i=this.HTMLspanElement();f.appendChild(i);if(j.last){i.style.paddingRight=""}if(j.first||j.nextIsFirst){i.style.paddingLeft="";if(g){this.HTMLremoveColor(i);this.HTMLhandleColor(i)}}if(j.first&&i.bbox.w===0){j.nextIsFirst=true}else{delete j.nextIsFirst}this.HTMLcombineBBoxes(this,f.bbox)}}});a.mfenced.Augment({HTMLbetterBreak:function(h,f){var t=h.index.slice(0),r=h.index.shift(),o=this.data.length,n,u,l,s=(h.index.length>0),g=false;if(r==null){r=-1}if(!s){r++;h.W+=h.w;h.w=0}l=h.scanW=h.W;h.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(o){this.dataI.push(0)}for(var q=1;q<o;q++){if(this.data["sep"+q]){this.dataI.push("sep"+q)}this.dataI.push(q)}if(this.data.close){this.dataI.push("close")}}o=this.dataI.length;while(r<o&&h.scanW<1.33*b.linebreakWidth){var p=this.dataI[r];if(this.data[p]){if(this.data[p].HTMLbetterBreak(h,f)){g=true;t=[r].concat(h.index);n=h.W;u=h.w;if(h.penalty===e.newline){h.index=t;if(h.nest){h.nest--}return true}}l=(s?h.scanW:this.HTMLaddWidth(r,h,l))}h.index=[];r++;s=false}if(h.nest){h.nest--}h.index=t;if(g){h.W=n;h.w=u}return g},HTMLmoveLine:function(g,l,o,f,q){var n=g[0],m=l[0];if(n==null){n=-1}if(m==null){m=this.dataI.length-1}if(n===m&&g.length>1){this.data[this.dataI[n]].HTMLmoveSlice(g.slice(1),l.slice(1),o,f,q,"paddingLeft")}else{var p=f.last;f.last=false;var h=this.dataI[n];while(n<m){if(this.data[h]){if(g.length<=1){this.data[h].HTMLmoveSpan(o,f,q)}else{this.data[h].HTMLmoveSlice(g.slice(1),[],o,f,q,"paddingLeft")}}n++;h=this.dataI[n];f.first=false;g=[]}f.last=p;if(this.data[h]){if(l.length<=1){this.data[h].HTMLmoveSpan(o,f,q)}else{this.data[h].HTMLmoveSlice([],l.slice(1),o,f,q,"paddingRight")}}}}});a.msubsup.Augment({HTMLbetterBreak:function(h,f){if(!this.data[this.base]){return false}var n=h.index.slice(0),l=h.index.shift(),k,o,j,m=(h.index.length>0),g=false;if(!m){h.W+=h.w;h.w=0}j=h.scanW=h.W;if(l==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(h,f)){g=true;n=[this.base].concat(h.index);k=h.W;o=h.w;if(h.penalty===e.newline){g=m=true}}if(!m){this.HTMLaddWidth(this.base,h,j)}h.scanW+=this.HTMLdw;h.W=h.scanW;h.index=[];if(g){h.W=k;h.w=o;h.index=n}return g},HTMLmoveLine:function(m,g,j,l,h){if(this.data[this.base]){if(m.length>1){this.data[this.base].HTMLmoveSlice(m.slice(1),g.slice(1),j,l,h,"paddingLeft")}else{if(g.length<=1){this.data[this.base].HTMLmoveSpan(j,l,h)}else{this.data[this.base].HTMLmoveSlice([],g.slice(1),j,l,h,"paddingRight")}}}if(g.length===0){var i=this.data[this.sup]||this.data[this.sub];if(i){var k=i.HTMLspanElement().parentNode,f=k.parentNode;if(this.data[this.base]){f.removeChild(f.firstChild)}for(k=f.firstChild;k;k=k.nextSibling){k.style.left=b.Em(b.unEm(k.style.left)-this.HTMLbaseW)}f.bbox.w-=this.HTMLbaseW;f.style.width=b.Em(f.bbox.w);this.HTMLcombineBBoxes(f,j.bbox);j.appendChild(f)}}}});a.mmultiscripts.Augment({HTMLbetterBreak:function(k,g){if(!this.data[this.base]){return false}var p=k.index.slice(0),n=k.index.shift(),m,q,l,o=(k.index.length>0),j=false;if(!o){k.W+=k.w;k.w=0}k.scanW=k.W;var r=this.HTMLspanElement().bbox,h=this.data[this.base].HTMLspanElement().bbox;var f=r.w-h.w;k.scanW+=r.dx;l=k.scanW;if(this.data[this.base].HTMLbetterBreak(k,g)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===e.newline){j=o=true}}if(!o){this.HTMLaddWidth(this.base,k,l)}k.scanW+=f;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},HTMLmoveLine:function(h,i,o,g,p){var m=this.HTMLspanElement(),k=m.bbox,n=m.firstChild,f={};if(b.msiePaddingWidthBug){n=n.nextSibling}var l=n.firstChild;while(l){if(l.bbox&&l.bbox.name){f[l.bbox.name]=l}l=l.nextSibling}if(h.length<1){if(f.presub||f.presup){var j=b.createStack(o);if(f.presup){b.addBox(j,f.presup);b.placeBox(f.presup,k.dx-f.presup.bbox.w,k.u)}if(f.presub){b.addBox(j,f.presub);b.placeBox(f.presub,k.dx+k.delta-f.presub.bbox.w,-k.v)}this.HTMLcombineBBoxes(j,o.bbox);o.appendChild(j);j.style.width=b.Em(k.dx)}}if(this.data[this.base]){if(h.length>1){this.data[this.base].HTMLmoveSlice(h.slice(1),i.slice(1),o,g,p,"paddingLeft")}else{if(i.length<=1){this.data[this.base].HTMLmoveSpan(o,g,p)}else{this.data[this.base].HTMLmoveSlice([],i.slice(1),o,g,p,"paddingRight")}}}if(i.length===0){if(this.data[this.base]){n.removeChild(n.firstChild)}for(l=n.firstChild;l;l=l.nextSibling){l.style.left=b.Em(b.unEm(l.style.left)-k.px)}n.bbox.w-=k.px;n.style.width=b.Em(n.bbox.w);this.HTMLcombineBBoxes(n,o.bbox);o.appendChild(n)}}});a.mo.Augment({HTMLbetterBreak:function(h,f){if(h.values&&h.values.id===this.spanID){return false}var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===a.TEXCLASS.OPEN){h.nest++}if(p.texClass===a.TEXCLASS.CLOSE&&h.nest){h.nest--}var i=h.scanW,j=(h.embellished||this);delete h.embellished;var n=j.HTMLspanElement(),o=n.bbox.w;if(n.style.paddingLeft){o+=b.unEm(n.style.paddingLeft)}if(p.linebreakstyle===a.LINEBREAKSTYLE.AFTER){i+=o;o=0}if(i-h.shift===0&&p.linebreak!==a.LINEBREAK.NEWLINE){return false}var k=b.linebreakWidth-i;if(f.n===0&&(p.indentshiftfirst!==f.VALUES.indentshiftfirst||p.indentalignfirst!==f.VALUES.indentalignfirst)){var l=this.HTMLgetAlign(f,p),g=this.HTMLgetShift(f,p,l);k+=(h.shift-g)}var m=Math.floor(k/b.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}if(p.fence){m+=e.fence}if((p.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&p.texClass===a.TEXCLASS.OPEN)||p.texClass===a.TEXCLASS.CLOSE){m+=e.close}m+=h.nest*e.nestfactor;var q=e[p.linebreak||a.LINEBREAK.AUTO];if(!(q instanceof Array)){if(k>=0){m=q*h.nest}}else{m=Math.max(1,m+q[0]*h.nest)}if(m>=h.penalty){return false}h.penalty=m;h.values=p;h.W=i;h.w=o;p.lineleading=b.length2em(p.lineleading,f.VALUES.lineleading);p.id=this.spanID;return true}});a.mspace.Augment({HTMLbetterBreak:function(g,f){if(g.values&&g.values.id===this.spanID){return false}var n=this.getValues("linebreak");var k=n.linebreak;if(!k||this.hasDimAttr()){k=a.LINEBREAK.AUTO}var h=g.scanW,l=this.HTMLspanElement(),m=l.bbox.w;if(l.style.paddingLeft){m+=b.unEm(l.style.paddingLeft)}if(h-g.shift===0){return false}var i=b.linebreakWidth-h;var j=Math.floor(i/b.linebreakWidth*1000);if(j<0){j=e.toobig-3*j}j+=g.nest*e.nestfactor;var o=e[k];if(k===a.LINEBREAK.AUTO&&m>=e.spacelimit&&!this.mathbackground&&!this.background){o=[(m+e.spaceoffset)*e.spacefactor]}if(!(o instanceof Array)){if(i>=0){j=o*g.nest}}else{j=Math.max(1,j+o[0]*g.nest)}if(j>=g.penalty){return false}g.penalty=j;g.values=n;g.W=h;g.w=m;n.lineleading=f.VALUES.lineleading;n.linebreakstyle="before";n.id=this.spanID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)}})});a.maction.Augment({HTMLbetterBreak:function(g,f){return this.Core().HTMLbetterBreak(g,f)},HTMLmoveLine:function(j,f,h,i,g){return this.Core().HTMLmoveSlice(j,f,h,i,g)},HTMLmoveSlice:function(g,i,l,f,m,j){var o=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(o){o.parentNode.removeChild(o)}var k=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(i.length===0){l=this.HTMLspanElement();var h=0;while(l){o=this.HTMLhandleHitBox(l,"-Continue-"+h);l=l.nextMathJaxSpan;h++}}return k}});a.semantics.Augment({HTMLbetterBreak:function(g,f){return(this.data[0]?this.data[0].HTMLbetterBreak(g,f):false)},HTMLmoveLine:function(j,f,h,i,g){return(this.data[0]?this.data[0].HTMLmoveSlice(j,f,h,i,g):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")});
diff --git a/jax/output/HTML-CSS/config.js b/jax/output/HTML-CSS/config.js
index cce7e2999..6ae9aaac6 100644
--- a/jax/output/HTML-CSS/config.js
+++ b/jax/output/HTML-CSS/config.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.3",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
index a64df4b46..b372dace6 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(p){var z="2.3";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="AsanaMathJax_Alphabets",v="AsanaMathJax_Arrows",x="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",u="AsanaMathJax_Main",l="AsanaMathJax_Marks",w="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",r="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",t="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:q,HW:[[0.282,u],[0.384,k],[0.542,j],[0.922,i],[1.762,h]]},819:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:q,HW:[[0.558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:q,HW:[[0.558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:q,HW:[[0.558,l],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:q,HW:[[0.558,u],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{rep:[57358,e],right:[8407,u]}},8417:{dir:q,HW:[[0.557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,u]}},8425:{dir:q,HW:[[0.63,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:q,HW:[[0.557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:q,HW:[[0.557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:q,HW:[[0.884,u]],stretch:{left:[57363,e],rep:[9135,t],right:[57370,e]}},8618:{dir:q,HW:[[0.884,u]],stretch:{left:[57371,e],rep:[9135,t],right:[57367,e]}},8720:{dir:d,HW:[[0.937,B],[1.349,k],[1.942,j],[2.797,i]]},8721:{dir:d,HW:[[0.93,B],[1.339,k],[1.928,j],[2.776,i]]},8745:{dir:d,HW:[[0.603,u],[1.559,k],[2.245,j],[2.588,i]]},8747:{dir:d,HW:[[1.327,u],[1.964,k],[2.711,j],[3.47,i]],stretch:{bot:[8993,t],ext:[9134,t],top:[8992,t]}},8748:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8749:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8750:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8751:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8752:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8753:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8754:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8755:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8896:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8897:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8898:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8899:{dir:d,HW:[[0.939,B],[1.559,k],[2.245,j],[2.588,i]]},9140:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},9185:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},10214:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10215:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10218:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10219:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10748:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10749:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10752:{dir:d,HW:[[1.146,B],[1.65,k],[2.376,j]]},10753:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10754:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10755:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10756:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10757:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10758:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10759:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10760:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10761:{dir:d,HW:[[0.926,B],[1.333,k],[1.92,j]]},10764:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10765:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10766:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10767:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10768:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10769:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10770:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10771:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10772:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10773:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10774:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10775:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10776:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10777:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10778:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10779:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]},10780:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(p){var z="2.4-beta";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="AsanaMathJax_Alphabets",v="AsanaMathJax_Arrows",x="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",u="AsanaMathJax_Main",l="AsanaMathJax_Marks",w="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",r="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",t="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:q,HW:[[0.282,u],[0.384,k],[0.542,j],[0.922,i],[1.762,h]]},819:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:q,HW:[[0.558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:q,HW:[[0.558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:q,HW:[[0.558,l],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:q,HW:[[0.558,u],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{rep:[57358,e],right:[8407,u]}},8417:{dir:q,HW:[[0.557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,u]}},8425:{dir:q,HW:[[0.63,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:q,HW:[[0.557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:q,HW:[[0.557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:q,HW:[[0.884,u]],stretch:{left:[57363,e],rep:[9135,t],right:[57370,e]}},8618:{dir:q,HW:[[0.884,u]],stretch:{left:[57371,e],rep:[9135,t],right:[57367,e]}},8720:{dir:d,HW:[[0.937,B],[1.349,k],[1.942,j],[2.797,i]]},8721:{dir:d,HW:[[0.93,B],[1.339,k],[1.928,j],[2.776,i]]},8745:{dir:d,HW:[[0.603,u],[1.559,k],[2.245,j],[2.588,i]]},8747:{dir:d,HW:[[1.327,u],[1.964,k],[2.711,j],[3.47,i]],stretch:{bot:[8993,t],ext:[9134,t],top:[8992,t]}},8748:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8749:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8750:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8751:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8752:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8753:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8754:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8755:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8896:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8897:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8898:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8899:{dir:d,HW:[[0.939,B],[1.559,k],[2.245,j],[2.588,i]]},9140:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},9185:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},10214:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10215:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10218:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10219:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10748:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10749:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10752:{dir:d,HW:[[1.146,B],[1.65,k],[2.376,j]]},10753:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10754:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10755:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10756:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10757:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10758:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10759:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10760:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10761:{dir:d,HW:[[0.926,B],[1.333,k],[1.92,j]]},10764:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10765:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10766:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10767:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10768:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10769:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10770:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10771:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10772:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10773:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10774:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10775:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10776:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10777:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10778:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10779:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]},10780:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
index 743a8fcc6..548d513b9 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q,e,D){var A="2.3";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",B="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",E="AsanaMathJax_Monospace",z="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",C="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",p="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",o="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.058,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[0.539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.883,v],[1.27,v,1.439],[1.719,v,1.946],[2.167,v,2.454],[2.615,v,2.961]]},93:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i],[2.712,g],[3.177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:773,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.312,v],[0.453,m],[0.633,l],[1.055,k],[2.017,i],[3.026,g]]},771:{dir:r,HW:[[0.33,v],[0.701,m],[1.053,l],[1.403,k],[1.865,i],[2.797,g]]},773:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[0.312,v],[0.737,m],[1.105,l],[1.474,k],[1.96,i],[2.94,g]]},818:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[0.837,v],[1.205,m],[1.471,l],[1.795,k],[2.189,i],[2.615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[0.885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[0.884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[0.885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[0.884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[0.942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[0.942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[0.884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[0.885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[0.884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[0.885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[0.895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[0.884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[0.937,C],[1.349,m],[1.942,l],[2.797,k]]},8720:j,8721:j,8722:{alias:773,dir:r},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1.138,v],[1.28,m],[1.912,l],[2.543,k],[3.175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[0.885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[0.885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[0.688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[0.638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[0.885,v,null,124],[1.27,v,1.435,124],[1.719,v,1.942,124],[2.167,v,2.448,124],[2.615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10182:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10217:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[0.884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size6/Regular/Main.js",function(){var F;F=q.FONTDATA.DELIMITERS[9182].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100;F=q.FONTDATA.DELIMITERS[9183].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;q.FONTDATA.FONTS[m][8747][2]-=300;q.FONTDATA.FONTS[m][8747][5]={rfix:-300};for(F=8748;F<=8755;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}for(F=10764;F<=10780;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(q,e,D){var A="2.4-beta";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",B="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",E="AsanaMathJax_Monospace",z="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",C="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",p="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",o="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.058,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[0.539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.883,v],[1.27,v,1.439],[1.719,v,1.946],[2.167,v,2.454],[2.615,v,2.961]]},93:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i],[2.712,g],[3.177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:773,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.312,v],[0.453,m],[0.633,l],[1.055,k],[2.017,i],[3.026,g]]},771:{dir:r,HW:[[0.33,v],[0.701,m],[1.053,l],[1.403,k],[1.865,i],[2.797,g]]},773:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[0.312,v],[0.737,m],[1.105,l],[1.474,k],[1.96,i],[2.94,g]]},818:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[0.837,v],[1.205,m],[1.471,l],[1.795,k],[2.189,i],[2.615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[0.885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[0.884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[0.885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[0.884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[0.942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[0.942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[0.884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[0.885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[0.884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[0.885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[0.895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[0.884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[0.937,C],[1.349,m],[1.942,l],[2.797,k]]},8720:j,8721:j,8722:{alias:773,dir:r},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1.138,v],[1.28,m],[1.912,l],[2.543,k],[3.175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[0.885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[0.885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[0.688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[0.638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[0.885,v,null,124],[1.27,v,1.435,124],[1.719,v,1.942,124],[2.167,v,2.448,124],[2.615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10182:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10217:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[0.884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size6/Regular/Main.js",function(){var F;F=q.FONTDATA.DELIMITERS[9182].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100;F=q.FONTDATA.DELIMITERS[9183].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;q.FONTDATA.FONTS[m][8747][2]-=300;q.FONTDATA.FONTS[m][8747][5]={rfix:-300};for(F=8748;F<=8755;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}for(F=10764;F<=10780;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
index cf92394ac..90cbff8c7 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(p){var z="2.3";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyrePagellaMathJax_Alphabets",v="GyrePagellaMathJax_Arrows",x="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",u="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",w="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",r="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",t="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:q,HW:[[0.362,u],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},785:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},812:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},813:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},814:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},815:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},816:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.042,h],[1.247,f],[1.496,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.367,l],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.558,u],[0.876,k]]},8599:{dir:d,HW:[[0.558,u],[0.876,k]]},8600:{dir:d,HW:[[0.558,u],[0.876,k]]},8601:{dir:d,HW:[[0.558,u],[0.876,k]]},8602:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.845,u],[1.295,k]]},8622:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.645,u],[0.915,k]]},8625:{dir:d,HW:[[0.644,u],[0.915,k]]},8626:{dir:d,HW:[[0.645,v],[0.915,k]]},8627:{dir:d,HW:[[0.644,v],[0.915,k]]},8630:{dir:q,HW:[[0.685,u],[1.023,k]]},8631:{dir:q,HW:[[0.685,u],[1.023,k]]},8636:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.622,v],[0.94,k]]},8663:{dir:d,HW:[[0.622,v],[0.94,k]]},8664:{dir:d,HW:[[0.622,v],[0.94,k]]},8665:{dir:d,HW:[[0.622,v],[0.94,k]]},8666:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.76,v],[1.21,k]]},8669:{dir:q,HW:[[0.76,u],[1.21,k]]},8678:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.91,v],[1.36,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.76,v],[1.21,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,B],[1.442,k]]},8720:{dir:d,HW:[[1,B],[1.442,k]]},8721:{dir:d,HW:[[1,B],[1.442,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57656,e],ext:[9134,t],bot:[57657,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.6,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.6,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.974,B],[1.411,k]]},8897:{dir:d,HW:[[0.974,B],[1.411,k]]},8898:{dir:d,HW:[[0.978,B],[1.402,k]]},8899:{dir:d,HW:[[0.978,B],[1.402,k]]},9140:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.835,w],[1.285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10219:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10752:{dir:d,HW:[[0.916,B],[1.188,k]]},10753:{dir:d,HW:[[0.916,B],[1.188,k]]},10754:{dir:d,HW:[[0.916,B],[1.188,k]]},10755:{dir:d,HW:[[0.978,B],[1.402,k]]},10756:{dir:d,HW:[[0.978,B],[1.402,k]]},10757:{dir:d,HW:[[0.96,B],[1.384,k]]},10758:{dir:d,HW:[[0.96,B],[1.384,k]]},10761:{dir:d,HW:[[0.77,B],[0.974,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.909,b],[1.359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.835,b],[1.285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.845,b],[1.295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.845,b],[1.295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.76,b],[1.21,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(p){var z="2.4-beta";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyrePagellaMathJax_Alphabets",v="GyrePagellaMathJax_Arrows",x="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",u="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",w="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",r="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",t="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:q,HW:[[0.362,u],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},785:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},812:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},813:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},814:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},815:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},816:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.042,h],[1.247,f],[1.496,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.367,l],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.558,u],[0.876,k]]},8599:{dir:d,HW:[[0.558,u],[0.876,k]]},8600:{dir:d,HW:[[0.558,u],[0.876,k]]},8601:{dir:d,HW:[[0.558,u],[0.876,k]]},8602:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.845,u],[1.295,k]]},8622:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.645,u],[0.915,k]]},8625:{dir:d,HW:[[0.644,u],[0.915,k]]},8626:{dir:d,HW:[[0.645,v],[0.915,k]]},8627:{dir:d,HW:[[0.644,v],[0.915,k]]},8630:{dir:q,HW:[[0.685,u],[1.023,k]]},8631:{dir:q,HW:[[0.685,u],[1.023,k]]},8636:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.622,v],[0.94,k]]},8663:{dir:d,HW:[[0.622,v],[0.94,k]]},8664:{dir:d,HW:[[0.622,v],[0.94,k]]},8665:{dir:d,HW:[[0.622,v],[0.94,k]]},8666:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.76,v],[1.21,k]]},8669:{dir:q,HW:[[0.76,u],[1.21,k]]},8678:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.91,v],[1.36,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.76,v],[1.21,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,B],[1.442,k]]},8720:{dir:d,HW:[[1,B],[1.442,k]]},8721:{dir:d,HW:[[1,B],[1.442,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57656,e],ext:[9134,t],bot:[57657,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.6,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.6,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.974,B],[1.411,k]]},8897:{dir:d,HW:[[0.974,B],[1.411,k]]},8898:{dir:d,HW:[[0.978,B],[1.402,k]]},8899:{dir:d,HW:[[0.978,B],[1.402,k]]},9140:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.835,w],[1.285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10219:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10752:{dir:d,HW:[[0.916,B],[1.188,k]]},10753:{dir:d,HW:[[0.916,B],[1.188,k]]},10754:{dir:d,HW:[[0.916,B],[1.188,k]]},10755:{dir:d,HW:[[0.978,B],[1.402,k]]},10756:{dir:d,HW:[[0.978,B],[1.402,k]]},10757:{dir:d,HW:[[0.96,B],[1.384,k]]},10758:{dir:d,HW:[[0.96,B],[1.384,k]]},10761:{dir:d,HW:[[0.77,B],[0.974,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.909,b],[1.359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.835,b],[1.285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.845,b],[1.295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.845,b],[1.295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.76,b],[1.21,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
index 27007950b..7c8ca8152 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q,e,D){var A="2.3";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",B="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",E="GyrePagellaMathJax_Monospace",z="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",C="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",p="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",o="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.057,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.6,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},771:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.042,i],[1.247,g],[1.496,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1,y],[1.442,m]]},8592:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.76,w],[1.21,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[0.6,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.79,v],[1.15,m],[1.51,l],[1.87,k],[2.23,i],[2.59,g],[2.95,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9002:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[0.616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.269,v,1.586,124],[1.717,v,2.146,124],[2.164,v,2.705,124],[2.612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10217:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=190;q.FONTDATA.FONTS[m][F][5]={rfix:-190}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=100;q.FONTDATA.FONTS[m][F][5]={rfix:-100}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(q,e,D){var A="2.4-beta";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",B="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",E="GyrePagellaMathJax_Monospace",z="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",C="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",p="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",o="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.057,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.6,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},771:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.042,i],[1.247,g],[1.496,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1,y],[1.442,m]]},8592:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.76,w],[1.21,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[0.6,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.79,v],[1.15,m],[1.51,l],[1.87,k],[2.23,i],[2.59,g],[2.95,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9002:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[0.616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.269,v,1.586,124],[1.717,v,2.146,124],[2.164,v,2.705,124],[2.612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10217:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=190;q.FONTDATA.FONTS[m][F][5]={rfix:-190}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=100;q.FONTDATA.FONTS[m][F][5]={rfix:-100}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
index cb42f0776..d163bdf75 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(p){var z="2.3";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyreTermesMathJax_Alphabets",v="GyreTermesMathJax_Arrows",x="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",u="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",w="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",r="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",t="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:q,HW:[[0.35,u],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},785:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},812:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},813:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},814:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},815:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},816:{dir:q,HW:[[0.334,l],[0.601,k],[0.72,j],[0.863,i],[1.037,h],[1.241,f],[1.491,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.375,l],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.506,u],[0.733,k]]},8599:{dir:d,HW:[[0.506,u],[0.733,k]]},8600:{dir:d,HW:[[0.506,u],[0.733,k]]},8601:{dir:d,HW:[[0.506,u],[0.733,k]]},8602:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.88,u],[1.2,k]]},8622:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.696,u],[0.888,k]]},8625:{dir:d,HW:[[0.696,u],[0.888,k]]},8626:{dir:d,HW:[[0.696,v],[0.888,k]]},8627:{dir:d,HW:[[0.696,v],[0.888,k]]},8630:{dir:q,HW:[[0.639,u],[0.879,k]]},8631:{dir:q,HW:[[0.639,u],[0.879,k]]},8636:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.56,v],[0.787,k]]},8663:{dir:d,HW:[[0.56,v],[0.787,k]]},8664:{dir:d,HW:[[0.56,v],[0.787,k]]},8665:{dir:d,HW:[[0.56,v],[0.787,k]]},8666:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.69,v],[1.01,k]]},8669:{dir:q,HW:[[0.69,u],[1.01,k]]},8678:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.93,v],[1.25,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.69,v],[1.01,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[0.954,B],[1.374,k]]},8720:{dir:d,HW:[[0.954,B],[1.374,k]]},8721:{dir:d,HW:[[0.954,B],[1.374,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57653,e],ext:[9134,t],bot:[57654,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.5,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.5,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.888,B],[1.165,k]]},8897:{dir:d,HW:[[0.888,B],[1.165,k]]},8898:{dir:d,HW:[[0.898,B],[1.17,k]]},8899:{dir:d,HW:[[0.898,B],[1.17,k]]},9140:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.87,w],[1.19,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10219:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10752:{dir:d,HW:[[0.876,B],[1.132,k]]},10753:{dir:d,HW:[[0.876,B],[1.132,k]]},10754:{dir:d,HW:[[0.876,B],[1.132,k]]},10755:{dir:d,HW:[[0.898,B],[1.17,k]]},10756:{dir:d,HW:[[0.898,B],[1.17,k]]},10757:{dir:d,HW:[[0.88,B],[1.152,k]]},10758:{dir:d,HW:[[0.88,B],[1.152,k]]},10761:{dir:d,HW:[[0.716,B],[0.906,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]]},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.931,b],[1.251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.87,b],[1.19,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.88,b],[1.2,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.88,b],[1.2,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.69,b],[1.01,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(p){var z="2.4-beta";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyreTermesMathJax_Alphabets",v="GyreTermesMathJax_Arrows",x="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",u="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",w="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",r="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",t="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:q,HW:[[0.35,u],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},785:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},812:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},813:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},814:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},815:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},816:{dir:q,HW:[[0.334,l],[0.601,k],[0.72,j],[0.863,i],[1.037,h],[1.241,f],[1.491,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.375,l],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.506,u],[0.733,k]]},8599:{dir:d,HW:[[0.506,u],[0.733,k]]},8600:{dir:d,HW:[[0.506,u],[0.733,k]]},8601:{dir:d,HW:[[0.506,u],[0.733,k]]},8602:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.88,u],[1.2,k]]},8622:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.696,u],[0.888,k]]},8625:{dir:d,HW:[[0.696,u],[0.888,k]]},8626:{dir:d,HW:[[0.696,v],[0.888,k]]},8627:{dir:d,HW:[[0.696,v],[0.888,k]]},8630:{dir:q,HW:[[0.639,u],[0.879,k]]},8631:{dir:q,HW:[[0.639,u],[0.879,k]]},8636:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.56,v],[0.787,k]]},8663:{dir:d,HW:[[0.56,v],[0.787,k]]},8664:{dir:d,HW:[[0.56,v],[0.787,k]]},8665:{dir:d,HW:[[0.56,v],[0.787,k]]},8666:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.69,v],[1.01,k]]},8669:{dir:q,HW:[[0.69,u],[1.01,k]]},8678:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.93,v],[1.25,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.69,v],[1.01,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[0.954,B],[1.374,k]]},8720:{dir:d,HW:[[0.954,B],[1.374,k]]},8721:{dir:d,HW:[[0.954,B],[1.374,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57653,e],ext:[9134,t],bot:[57654,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.5,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.5,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.888,B],[1.165,k]]},8897:{dir:d,HW:[[0.888,B],[1.165,k]]},8898:{dir:d,HW:[[0.898,B],[1.17,k]]},8899:{dir:d,HW:[[0.898,B],[1.17,k]]},9140:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.87,w],[1.19,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10219:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10752:{dir:d,HW:[[0.876,B],[1.132,k]]},10753:{dir:d,HW:[[0.876,B],[1.132,k]]},10754:{dir:d,HW:[[0.876,B],[1.132,k]]},10755:{dir:d,HW:[[0.898,B],[1.17,k]]},10756:{dir:d,HW:[[0.898,B],[1.17,k]]},10757:{dir:d,HW:[[0.88,B],[1.152,k]]},10758:{dir:d,HW:[[0.88,B],[1.152,k]]},10761:{dir:d,HW:[[0.716,B],[0.906,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]]},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.931,b],[1.251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.87,b],[1.19,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.88,b],[1.2,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.88,b],[1.2,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.69,b],[1.01,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
index d62ded492..3487c3cdc 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q,e,D){var A="2.3";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",B="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",E="GyreTermesMathJax_Monospace",z="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",C="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",p="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",o="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.5,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},771:{dir:r,HW:[[0.334,v],[0.601,m],[0.72,l],[0.863,k],[1.037,i],[1.241,g],[1.491,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[0.956,y],[1.36,m]]},8592:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.69,w],[1.01,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[0.5,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.706,v],[1.09,m],[1.474,l],[1.858,k],[2.242,i],[2.626,g],[3.01,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9002:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[0.607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.35,v,1.688,124],[1.827,v,2.283,124],[2.303,v,2.879,124],[2.78,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10217:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=200;q.FONTDATA.FONTS[m][F][5]={rfix:-200}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=150;q.FONTDATA.FONTS[m][F][5]={rfix:-150}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(q,e,D){var A="2.4-beta";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",B="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",E="GyreTermesMathJax_Monospace",z="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",C="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",p="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",o="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.5,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},771:{dir:r,HW:[[0.334,v],[0.601,m],[0.72,l],[0.863,k],[1.037,i],[1.241,g],[1.491,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[0.956,y],[1.36,m]]},8592:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.69,w],[1.01,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[0.5,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.706,v],[1.09,m],[1.474,l],[1.858,k],[2.242,i],[2.626,g],[3.01,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9002:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[0.607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.35,v,1.688,124],[1.827,v,2.283,124],[2.303,v,2.879,124],[2.78,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10217:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=200;q.FONTDATA.FONTS[m][F][5]={rfix:-200}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=150;q.FONTDATA.FONTS[m][F][5]={rfix:-150}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
index 257691cb4..ffae5f835 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q){var A="2.3";var p=q.FONTDATA.DELIMITERS;var r="H",d="V";var c="LatinModernMathJax_Alphabets",w="LatinModernMathJax_Arrows",y="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",v="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",x="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",s="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",u="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:r,HW:[[0.374,v],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},785:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},812:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},813:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},814:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},815:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},816:{dir:r,HW:[[0.37,m],[0.652,l],[0.778,k],[0.931,j],[1.115,i],[1.335,g],[1.599,f],[1.915,e]]},819:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:r,HW:[[0.416,v],[0.547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:r,HW:[[0.47,m],[0.603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:r,HW:[[0.36,m],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.917,v],[1.383,l]]},8599:{dir:d,HW:[[0.917,v],[1.383,l]]},8600:{dir:d,HW:[[0.917,v],[1.383,l]]},8601:{dir:d,HW:[[0.917,v],[1.383,l]]},8602:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:r,HW:[[0.884,v],[1.33,l]]},8622:{dir:r,HW:[[0.884,v],[1.33,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.858,v],[1.168,l]]},8625:{dir:d,HW:[[0.858,v],[1.168,l]]},8626:{dir:d,HW:[[0.858,w],[1.168,l]]},8627:{dir:d,HW:[[0.858,w],[1.168,l]]},8630:{dir:r,HW:[[0.868,v],[1.218,l]]},8631:{dir:r,HW:[[0.868,v],[1.218,l]]},8636:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:r,HW:[[0.956,v],[1.422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.954,w],[1.42,l]]},8663:{dir:d,HW:[[0.954,w],[1.42,l]]},8664:{dir:d,HW:[[0.954,w],[1.42,l]]},8665:{dir:d,HW:[[0.954,w],[1.42,l]]},8666:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:r,HW:[[0.885,w],[1.351,l]]},8669:{dir:r,HW:[[0.885,v],[1.351,l]]},8678:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.95,w],[1.396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:r,HW:[[0.885,w],[1.351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,C],[1.4,l]]},8720:{dir:d,HW:[[1,C],[1.4,l]]},8721:{dir:d,HW:[[1,C],[1.4,l]]},8747:{dir:d,HW:[[1.111,v],[2.222,l]]},8748:{dir:d,HW:[[1.111,C],[2.222,l]]},8749:{dir:d,HW:[[1.111,C],[2.222,l]]},8750:{dir:d,HW:[[1.111,C],[2.222,l]]},8751:{dir:d,HW:[[1.111,C],[2.222,l]]},8752:{dir:d,HW:[[1.111,C],[2.222,l]]},8753:{dir:d,HW:[[1.111,C],[2.222,l]]},8754:{dir:d,HW:[[1.111,C],[2.222,l]]},8755:{dir:d,HW:[[1.111,C],[2.222,l]]},8801:{dir:r,HW:[[0.666,v]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:r,HW:[[0.666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.684,v],[0.868,l]]},8867:{dir:d,HW:[[0.684,v],[0.868,l]]},8868:{dir:d,HW:[[0.684,v],[0.868,l]]},8869:{dir:d,HW:[[0.684,v],[0.868,l]]},8896:{dir:d,HW:[[1.045,C],[1.393,l]]},8897:{dir:d,HW:[[1.045,C],[1.393,l]]},8898:{dir:d,HW:[[1.022,C],[1.356,l]]},8899:{dir:d,HW:[[1.022,C],[1.356,l]]},9140:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:r,HW:[[0.865,x],[1.311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10219:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10752:{dir:d,HW:[[0.986,C],[1.304,l]]},10753:{dir:d,HW:[[0.986,C],[1.304,l]]},10754:{dir:d,HW:[[0.986,C],[1.304,l]]},10755:{dir:d,HW:[[1.022,C],[1.356,l]]},10756:{dir:d,HW:[[1.022,C],[1.356,l]]},10757:{dir:d,HW:[[1.028,C],[1.372,l]]},10758:{dir:d,HW:[[1.028,C],[1.372,l]]},10761:{dir:d,HW:[[0.981,C],[1.26,l]]},10764:{dir:d,HW:[[1.111,C],[2.222,l]]},10769:{dir:d,HW:[[1.111,C],[2.222,l]]},11012:{dir:r,HW:[[0.95,b],[1.396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:r,HW:[[0.865,b],[1.311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:r,HW:[[0.844,b],[1.29,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.844,b],[1.29,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:r,HW:[[0.885,b],[1.351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var t in D){if(D.hasOwnProperty(t)){p[t]=D[t]}}MathJax.Ajax.loadComplete(q.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(q){var A="2.4-beta";var p=q.FONTDATA.DELIMITERS;var r="H",d="V";var c="LatinModernMathJax_Alphabets",w="LatinModernMathJax_Arrows",y="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",v="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",x="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",s="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",u="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:r,HW:[[0.374,v],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},785:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},812:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},813:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},814:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},815:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},816:{dir:r,HW:[[0.37,m],[0.652,l],[0.778,k],[0.931,j],[1.115,i],[1.335,g],[1.599,f],[1.915,e]]},819:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:r,HW:[[0.416,v],[0.547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:r,HW:[[0.47,m],[0.603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:r,HW:[[0.36,m],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.917,v],[1.383,l]]},8599:{dir:d,HW:[[0.917,v],[1.383,l]]},8600:{dir:d,HW:[[0.917,v],[1.383,l]]},8601:{dir:d,HW:[[0.917,v],[1.383,l]]},8602:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:r,HW:[[0.884,v],[1.33,l]]},8622:{dir:r,HW:[[0.884,v],[1.33,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.858,v],[1.168,l]]},8625:{dir:d,HW:[[0.858,v],[1.168,l]]},8626:{dir:d,HW:[[0.858,w],[1.168,l]]},8627:{dir:d,HW:[[0.858,w],[1.168,l]]},8630:{dir:r,HW:[[0.868,v],[1.218,l]]},8631:{dir:r,HW:[[0.868,v],[1.218,l]]},8636:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:r,HW:[[0.956,v],[1.422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.954,w],[1.42,l]]},8663:{dir:d,HW:[[0.954,w],[1.42,l]]},8664:{dir:d,HW:[[0.954,w],[1.42,l]]},8665:{dir:d,HW:[[0.954,w],[1.42,l]]},8666:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:r,HW:[[0.885,w],[1.351,l]]},8669:{dir:r,HW:[[0.885,v],[1.351,l]]},8678:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.95,w],[1.396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:r,HW:[[0.885,w],[1.351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,C],[1.4,l]]},8720:{dir:d,HW:[[1,C],[1.4,l]]},8721:{dir:d,HW:[[1,C],[1.4,l]]},8747:{dir:d,HW:[[1.111,v],[2.222,l]]},8748:{dir:d,HW:[[1.111,C],[2.222,l]]},8749:{dir:d,HW:[[1.111,C],[2.222,l]]},8750:{dir:d,HW:[[1.111,C],[2.222,l]]},8751:{dir:d,HW:[[1.111,C],[2.222,l]]},8752:{dir:d,HW:[[1.111,C],[2.222,l]]},8753:{dir:d,HW:[[1.111,C],[2.222,l]]},8754:{dir:d,HW:[[1.111,C],[2.222,l]]},8755:{dir:d,HW:[[1.111,C],[2.222,l]]},8801:{dir:r,HW:[[0.666,v]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:r,HW:[[0.666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.684,v],[0.868,l]]},8867:{dir:d,HW:[[0.684,v],[0.868,l]]},8868:{dir:d,HW:[[0.684,v],[0.868,l]]},8869:{dir:d,HW:[[0.684,v],[0.868,l]]},8896:{dir:d,HW:[[1.045,C],[1.393,l]]},8897:{dir:d,HW:[[1.045,C],[1.393,l]]},8898:{dir:d,HW:[[1.022,C],[1.356,l]]},8899:{dir:d,HW:[[1.022,C],[1.356,l]]},9140:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:r,HW:[[0.865,x],[1.311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10219:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10752:{dir:d,HW:[[0.986,C],[1.304,l]]},10753:{dir:d,HW:[[0.986,C],[1.304,l]]},10754:{dir:d,HW:[[0.986,C],[1.304,l]]},10755:{dir:d,HW:[[1.022,C],[1.356,l]]},10756:{dir:d,HW:[[1.022,C],[1.356,l]]},10757:{dir:d,HW:[[1.028,C],[1.372,l]]},10758:{dir:d,HW:[[1.028,C],[1.372,l]]},10761:{dir:d,HW:[[0.981,C],[1.26,l]]},10764:{dir:d,HW:[[1.111,C],[2.222,l]]},10769:{dir:d,HW:[[1.111,C],[2.222,l]]},11012:{dir:r,HW:[[0.95,b],[1.396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:r,HW:[[0.865,b],[1.311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:r,HW:[[0.844,b],[1.29,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.844,b],[1.29,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:r,HW:[[0.885,b],[1.351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var t in D){if(D.hasOwnProperty(t)){p[t]=D[t]}}MathJax.Ajax.loadComplete(q.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
index ad0a63846..18e66946e 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(r,f,E){var B="2.3";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",C="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",F="LatinModernMathJax_Monospace",A="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",D="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",q="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",p="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};r.Augment({FONTDATA:{version:B,TeX_factor:1.091,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},bold:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[p,w,t,F,i,c,o,x,D,v,b,y,A,n]},"-tex-caligraphic":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true},"-tex-oldstyle":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},"-tex-caligraphic-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true},"-tex-mathit":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:773,dir:s},47:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},61:{dir:s,HW:[[0.666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},93:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:773,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},771:{dir:s,HW:[[0.37,w],[0.652,n],[0.778,m],[0.931,l],[1.115,j],[1.335,h],[1.599,g],[1.915,e]]},773:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57595,e],rep:[57596,e],right:[57597,e]}},774:u,780:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:773,dir:s},8214:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:773,dir:s},8254:{alias:773,dir:s},8260:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[0.884,w],[1.33,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1.014,w],[1.014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[0.865,x],[1.331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[0.865,w],[1.331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[0.956,w],[1.422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[0.956,w],[1.422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[0.666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1,w],[1.2,n],[1.8,m],[2.4,l],[3,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v]}},9001:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9002:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9130:{dir:d,HW:[[0.748,v]],stretch:{ext:[9130,v]}},9135:{alias:773,dir:s},9136:{dir:d,HW:[[0.75,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[0.75,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1,w,null,124],[1.309,w,1.309,124],[1.771,w,1.771,124],[2.233,w,2.233,124],[2.695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:773,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10217:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size7/Regular/Main.js",function(){var G;G=r.FONTDATA.DELIMITERS[9182].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200;G=r.FONTDATA.DELIMITERS[9183].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size1/Regular/Main.js",function(){r.FONTDATA.FONTS[n][8747][2]-=425;r.FONTDATA.FONTS[n][8747][5]={rfix:-425};r.FONTDATA.FONTS[n][8748][2]-=425;r.FONTDATA.FONTS[n][8748][5]={rfix:-425};r.FONTDATA.FONTS[n][8749][2]-=425;r.FONTDATA.FONTS[n][8749][5]={rfix:-425};r.FONTDATA.FONTS[n][8750][2]-=425;r.FONTDATA.FONTS[n][8750][5]={rfix:-425};r.FONTDATA.FONTS[n][8751][2]-=425;r.FONTDATA.FONTS[n][8751][5]={rfix:-425};r.FONTDATA.FONTS[n][8752][2]-=425;r.FONTDATA.FONTS[n][8752][5]={rfix:-425};r.FONTDATA.FONTS[n][8753][2]-=425;r.FONTDATA.FONTS[n][8753][5]={rfix:-425};r.FONTDATA.FONTS[n][8754][2]-=425;r.FONTDATA.FONTS[n][8754][5]={rfix:-425};r.FONTDATA.FONTS[n][8755][2]-=425;r.FONTDATA.FONTS[n][8755][5]={rfix:-425};r.FONTDATA.FONTS[n][10764][2]-=425;r.FONTDATA.FONTS[n][10764][5]={rfix:-425};r.FONTDATA.FONTS[n][10769][2]-=425;r.FONTDATA.FONTS[n][10769][5]={rfix:-425}});E.loadComplete(r.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(r,f,E){var B="2.4-beta";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",C="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",F="LatinModernMathJax_Monospace",A="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",D="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",q="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",p="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};r.Augment({FONTDATA:{version:B,TeX_factor:1.091,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},bold:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[p,w,t,F,i,c,o,x,D,v,b,y,A,n]},"-tex-caligraphic":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true},"-tex-oldstyle":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},"-tex-caligraphic-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true},"-tex-mathit":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:773,dir:s},47:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},61:{dir:s,HW:[[0.666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},93:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:773,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},771:{dir:s,HW:[[0.37,w],[0.652,n],[0.778,m],[0.931,l],[1.115,j],[1.335,h],[1.599,g],[1.915,e]]},773:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57595,e],rep:[57596,e],right:[57597,e]}},774:u,780:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:773,dir:s},8214:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:773,dir:s},8254:{alias:773,dir:s},8260:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[0.884,w],[1.33,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1.014,w],[1.014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[0.865,x],[1.331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[0.865,w],[1.331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[0.956,w],[1.422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[0.956,w],[1.422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[0.666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1,w],[1.2,n],[1.8,m],[2.4,l],[3,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v]}},9001:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9002:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9130:{dir:d,HW:[[0.748,v]],stretch:{ext:[9130,v]}},9135:{alias:773,dir:s},9136:{dir:d,HW:[[0.75,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[0.75,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1,w,null,124],[1.309,w,1.309,124],[1.771,w,1.771,124],[2.233,w,2.233,124],[2.695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:773,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10217:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size7/Regular/Main.js",function(){var G;G=r.FONTDATA.DELIMITERS[9182].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200;G=r.FONTDATA.DELIMITERS[9183].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size1/Regular/Main.js",function(){r.FONTDATA.FONTS[n][8747][2]-=425;r.FONTDATA.FONTS[n][8747][5]={rfix:-425};r.FONTDATA.FONTS[n][8748][2]-=425;r.FONTDATA.FONTS[n][8748][5]={rfix:-425};r.FONTDATA.FONTS[n][8749][2]-=425;r.FONTDATA.FONTS[n][8749][5]={rfix:-425};r.FONTDATA.FONTS[n][8750][2]-=425;r.FONTDATA.FONTS[n][8750][5]={rfix:-425};r.FONTDATA.FONTS[n][8751][2]-=425;r.FONTDATA.FONTS[n][8751][5]={rfix:-425};r.FONTDATA.FONTS[n][8752][2]-=425;r.FONTDATA.FONTS[n][8752][5]={rfix:-425};r.FONTDATA.FONTS[n][8753][2]-=425;r.FONTDATA.FONTS[n][8753][5]={rfix:-425};r.FONTDATA.FONTS[n][8754][2]-=425;r.FONTDATA.FONTS[n][8754][5]={rfix:-425};r.FONTDATA.FONTS[n][8755][2]-=425;r.FONTDATA.FONTS[n][8755][5]={rfix:-425};r.FONTDATA.FONTS[n][10764][2]-=425;r.FONTDATA.FONTS[n][10764][5]={rfix:-425};r.FONTDATA.FONTS[n][10769][2]-=425;r.FONTDATA.FONTS[n][10769][5]={rfix:-425}});E.loadComplete(r.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
index 6f5fa4fff..66b5c22ae 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(n){var w="2.3";var l=n.FONTDATA.DELIMITERS;var o="H",d="V";var b="NeoEulerMathJax_Alphabets",t="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",s="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",p="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",r="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",u="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[0.912,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]]},8417:{dir:o,HW:[[0.449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,s]}},8430:{dir:o,HW:[[0.418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:o,HW:[[0.418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1,y],[1.4,j]]},8720:{dir:d,HW:[[1,y],[1.4,j]]},8721:{dir:d,HW:[[1,y],[1.4,j]]},8743:{dir:d,HW:[[0.718,s],[0.998,j],[1.395,h]]},8744:{dir:d,HW:[[0.7,s],[0.998,j],[1.395,h]]},8745:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8746:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8747:{dir:d,HW:[[1.111,s],[2.222,j]]},8748:{dir:d,HW:[[1.111,y],[2.222,j]]},8749:{dir:d,HW:[[1.111,y],[2.222,j]]},8750:{dir:d,HW:[[1.111,y],[2.222,j]]},8846:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8896:{dir:d,HW:[[0.718,y],[0.998,j],[1.395,h]]},8897:{dir:d,HW:[[0.7,y],[0.998,j],[1.395,h]]},8898:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},8899:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},9180:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1.111,y],[2.222,j]]}};for(var q in z){if(z.hasOwnProperty(q)){l[q]=z[q]}}MathJax.Ajax.loadComplete(n.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(n){var w="2.4-beta";var l=n.FONTDATA.DELIMITERS;var o="H",d="V";var b="NeoEulerMathJax_Alphabets",t="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",s="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",p="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",r="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",u="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[0.912,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]]},8417:{dir:o,HW:[[0.449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,s]}},8430:{dir:o,HW:[[0.418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:o,HW:[[0.418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1,y],[1.4,j]]},8720:{dir:d,HW:[[1,y],[1.4,j]]},8721:{dir:d,HW:[[1,y],[1.4,j]]},8743:{dir:d,HW:[[0.718,s],[0.998,j],[1.395,h]]},8744:{dir:d,HW:[[0.7,s],[0.998,j],[1.395,h]]},8745:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8746:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8747:{dir:d,HW:[[1.111,s],[2.222,j]]},8748:{dir:d,HW:[[1.111,y],[2.222,j]]},8749:{dir:d,HW:[[1.111,y],[2.222,j]]},8750:{dir:d,HW:[[1.111,y],[2.222,j]]},8846:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8896:{dir:d,HW:[[0.718,y],[0.998,j],[1.395,h]]},8897:{dir:d,HW:[[0.7,y],[0.998,j],[1.395,h]]},8898:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},8899:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},9180:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1.111,y],[2.222,j]]}};for(var q in z){if(z.hasOwnProperty(q)){l[q]=z[q]}}MathJax.Ajax.loadComplete(n.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
index 30110aae9..262b14e58 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(o,e,A){var x="2.3";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",y="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",w="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",z="NeoEulerMathJax_Operators",n="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",m="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",B="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};o.Augment({FONTDATA:{version:x,TeX_factor:0.958,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,z,s,c,m,w,l]},bold:{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},bolditalic:{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[y],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[y],bold:true,offsetA:120172},script:{fonts:[n],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[n],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[B],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:175,REMAP:{8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},61:{dir:p,HW:[[0.668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[0.914,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},93:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[0.312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[0.418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[0.418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[0.887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[0.867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1.042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[0.867,t],[1.567,l]]},8657:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[0.867,t],[1.567,l]]},8659:{dir:p,HW:[[0.64,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[0.867,t,null,8656],[1.632,l]]},8661:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{alias:175,dir:p},8725:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]]},8730:{dir:d,HW:[[0.989,t],[1.209,l],[1.801,j],[2.403,i],[3.003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[0.795,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]]},8741:{dir:d,HW:[[0.905,t],[0.905,l],[1.505,j],[2.105,i],[2.706,g],[3.306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},9001:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9002:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9130:{dir:d,HW:[[0.32,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[0.909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[0.909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[0.905,t,null,124],[1.15,t,1.271,124],[1.556,t,1.719,124],[1.961,t,2.167,124],[2.367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10217:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(o.fontDir+"/Size5/Regular/Main.js",function(){var C;C=o.FONTDATA.DELIMITERS[9182].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200;C=o.FONTDATA.DELIMITERS[9183].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200});A.loadComplete(o.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(o,e,A){var x="2.4-beta";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",y="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",w="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",z="NeoEulerMathJax_Operators",n="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",m="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",B="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};o.Augment({FONTDATA:{version:x,TeX_factor:0.958,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,z,s,c,m,w,l]},bold:{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[y],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[y],bold:true,offsetA:120172},script:{fonts:[n],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[n],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[B],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:175,REMAP:{8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},61:{dir:p,HW:[[0.668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[0.914,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},93:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[0.312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[0.418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[0.418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[0.887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[0.867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1.042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[0.867,t],[1.567,l]]},8657:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[0.867,t],[1.567,l]]},8659:{dir:p,HW:[[0.64,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[0.867,t,null,8656],[1.632,l]]},8661:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{alias:175,dir:p},8725:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]]},8730:{dir:d,HW:[[0.989,t],[1.209,l],[1.801,j],[2.403,i],[3.003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[0.795,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]]},8741:{dir:d,HW:[[0.905,t],[0.905,l],[1.505,j],[2.105,i],[2.706,g],[3.306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},9001:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9002:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9130:{dir:d,HW:[[0.32,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[0.909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[0.909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[0.905,t,null,124],[1.15,t,1.271,124],[1.556,t,1.719,124],[1.961,t,2.167,124],[2.367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10217:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(o.fontDir+"/Size5/Regular/Main.js",function(){var C;C=o.FONTDATA.DELIMITERS[9182].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200;C=o.FONTDATA.DELIMITERS[9183].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200});A.loadComplete(o.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
index 45c2b9ae5..45085bbb0 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(ai){var B="2.3";var t=ai.FONTDATA.DELIMITERS;var s="H",f="V";var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",R="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",T="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",Q="STIXMathJax_Main-bold-italic",aj="STIXMathJax_Main-bold",O="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ag="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",ak="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",P="STIXMathJax_Normal-bold",S="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",M="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",al="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",N="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ah="STIXMathJax_Variants-italic",L="STIXMathJax_Variants";var n={61:{dir:s,HW:[[0.589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},717:{dir:s,HW:[[0.312,Z]],stretch:{rep:[717,Z]}},759:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},8400:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57365,X],rep:[57366,X]}},8401:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57367,X]}},8406:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57368,X],rep:[57366,X]}},8417:{dir:s,HW:[[0.478,Z]],stretch:{left:[57368,X],rep:[57366,X],right:[57369,X]}},8428:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57371,X]}},8429:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57372,X],rep:[57370,X]}},8430:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57373,X],rep:[57370,X]}},8431:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57374,X]}},8512:{dir:f,HW:[[1.022,b],[1.45,ae]]},8606:{dir:s,HW:[[0.786,E]],stretch:{left:[8606,E],rep:[8722,E]}},8607:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[0.786,E]],stretch:{right:[8608,E],rep:[8722,E]}},8609:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[0.787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[0.816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[0.787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[0.816,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[0.816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:[8722,E],right:[57525,x]}},8618:{dir:s,HW:[[0.786,E]],stretch:{left:[57524,x],rep:[8722,E],right:[8594,E]}},8624:{dir:f,HW:[[0.818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[0.818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[0.816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[0.816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[0.786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[0.818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[0.847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[0.847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[0.847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[0.847,E]],stretch:{right:[8641,E],rep:[8722,E]}},8642:{dir:f,HW:[[0.818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[0.818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[0.786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[0.786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[0.806,E]],stretch:{left:[8666,E],rep:[57377,X]}},8667:{dir:s,HW:[[0.806,E]],stretch:{rep:[57377,X],right:[8667,E]}},8672:{dir:s,HW:[[0.806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[0.818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[0.806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[0.818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[0.806,x]],stretch:{left:[8676,x],rep:[8722,E]}},8677:{dir:s,HW:[[0.806,x]],stretch:{right:[8677,x],rep:[8722,E]}},8701:{dir:s,HW:[[0.806,x]],stretch:{left:[8701,x],rep:[8722,E]}},8702:{dir:s,HW:[[0.806,x]],stretch:{right:[8702,x],rep:[8722,E]}},8703:{dir:s,HW:[[0.886,x]],stretch:{left:[8701,x],rep:[8722,E],right:[8702,x]}},8719:{dir:f,HW:[[1.022,w],[1.451,ae]]},8720:{dir:f,HW:[[1.022,w],[1.451,ae]]},8721:{dir:f,HW:[[1.022,w],[1.45,ae]]},8731:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57381,X],ext:[57379,X],top:[57380,X]}},8732:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57382,X],ext:[57379,X],top:[57380,X]}},8747:{dir:s,HW:[[0.607,E],[0.979,ae]],stretch:{top:[57404,X],rep:[57405,X],bot:[57406,X]}},8748:{dir:f,HW:[[1.144,w],[2.269,ae]]},8749:{dir:f,HW:[[1.144,w],[2.269,ae]]},8750:{dir:f,HW:[[1.144,w],[2.269,ae]]},8751:{dir:f,HW:[[1.144,w],[2.269,ae]]},8752:{dir:f,HW:[[1.144,w],[2.269,ae]]},8753:{dir:f,HW:[[1.144,w],[2.269,ae]]},8754:{dir:f,HW:[[1.144,w],[2.269,ae]]},8755:{dir:f,HW:[[1.144,w],[2.269,ae]]},8896:{dir:f,HW:[[1.022,w],[1.451,ae]]},8897:{dir:f,HW:[[1.022,w],[1.451,ae]]},8898:{dir:f,HW:[[1.032,w],[1.461,ae]]},8899:{dir:f,HW:[[1.032,w],[1.461,ae]]},9130:{dir:f,HW:[[1.01,X,null,57357]],stretch:{top:[57357,X],ext:[57357,X],bot:[57357,X]}},9140:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57383,X],rep:[57384,X],right:[57385,X]}},9141:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57386,X],rep:[57387,X],right:[57388,X]}},9168:{dir:f,HW:[[0.304,E],[0.69,ae],[0.879,ac],[1.35,ac,1.536],[1.827,ac,2.078],[2.303,ac,2.62],[2.78,ac,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57389,X],rep:[57384,X],right:[57390,X]}},9181:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57391,X],rep:[57387,X],right:[57392,X]}},9184:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},9185:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},10098:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10099:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10214:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10219:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10224:{dir:f,HW:[[0.818,x]],stretch:{ext:[57399,X],top:[10224,x]}},10225:{dir:f,HW:[[0.818,x]],stretch:{bot:[10225,x],ext:[57399,X]}},10502:{dir:s,HW:[[0.816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[0.816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[0.818,x]],stretch:{ext:[57400,X],top:[10506,x]}},10507:{dir:f,HW:[[0.818,x]],stretch:{bot:[10507,x],ext:[57400,X]}},10514:{dir:f,HW:[[0.818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[0.818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[0.85,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8640,E]}},10575:{dir:f,HW:[[0.818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[0.85,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8641,E]}},10577:{dir:f,HW:[[0.818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[0.816,x]],stretch:{left:[10578,x],rep:[8722,E]}},10579:{dir:s,HW:[[0.816,x]],stretch:{right:[10579,x],rep:[8722,E]}},10580:{dir:f,HW:[[0.818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[0.818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[0.816,x]],stretch:{left:[10582,x],rep:[8722,E]}},10583:{dir:s,HW:[[0.816,x]],stretch:{right:[10583,x],rep:[8722,E]}},10584:{dir:f,HW:[[0.818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[0.818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[0.816,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10587:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8640,E]}},10588:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[0.816,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10591:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8641,E]}},10592:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[0.884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10628:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10629:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10630:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10647:{dir:f,HW:[[0.932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[0.932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1.022,w],[1.451,ae]]},10753:{dir:f,HW:[[1.022,w],[1.451,ae]]},10754:{dir:f,HW:[[1.022,w],[1.451,ae]]},10755:{dir:f,HW:[[1.032,w],[1.461,ae]]},10756:{dir:f,HW:[[1.032,w],[1.461,ae]]},10757:{dir:f,HW:[[1.022,w],[1.451,ae]]},10758:{dir:f,HW:[[1.022,w],[1.451,ae]]},10759:{dir:f,HW:[[1.022,w],[1.451,ae]]},10760:{dir:f,HW:[[1.022,w],[1.451,ae]]},10761:{dir:f,HW:[[1.022,w],[1.451,ae]]},10762:{dir:f,HW:[[1.022,w],[1.45,ae]]},10763:{dir:f,HW:[[1.144,w],[2.269,ae]]},10764:{dir:f,HW:[[1.144,w],[2.269,ae]]},10765:{dir:f,HW:[[1.144,w],[2.269,ae]]},10766:{dir:f,HW:[[1.144,w],[2.269,ae]]},10767:{dir:f,HW:[[1.144,w],[2.269,ae]]},10768:{dir:f,HW:[[1.144,w],[2.269,ae]]},10769:{dir:f,HW:[[1.144,w],[2.269,ae]]},10770:{dir:f,HW:[[1.144,w],[2.269,ae]]},10771:{dir:f,HW:[[1.144,w],[2.269,ae]]},10772:{dir:f,HW:[[1.144,w],[2.269,ae]]},10773:{dir:f,HW:[[1.144,w],[2.269,ae]]},10774:{dir:f,HW:[[1.144,w],[2.269,ae]]},10775:{dir:f,HW:[[1.144,w],[2.269,ae]]},10776:{dir:f,HW:[[1.144,w],[2.269,ae]]},10777:{dir:f,HW:[[1.144,w],[2.269,ae]]},10778:{dir:f,HW:[[1.144,w],[2.269,ae]]},10779:{dir:f,HW:[[1.267,w],[2.426,ae]]},10780:{dir:f,HW:[[1.267,w],[2.426,ae]]},11004:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11007:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11077:{dir:s,HW:[[0.818,l]],stretch:{left:[11077,l],rep:[57401,X]}}};for(var U in n){if(n.hasOwnProperty(U)){t[U]=n[U]}}MathJax.Ajax.loadComplete(ai.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(ai){var B="2.4-beta";var t=ai.FONTDATA.DELIMITERS;var s="H",f="V";var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",R="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",T="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",Q="STIXMathJax_Main-bold-italic",aj="STIXMathJax_Main-bold",O="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ag="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",ak="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",P="STIXMathJax_Normal-bold",S="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",M="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",al="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",N="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ah="STIXMathJax_Variants-italic",L="STIXMathJax_Variants";var n={61:{dir:s,HW:[[0.589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},717:{dir:s,HW:[[0.312,Z]],stretch:{rep:[717,Z]}},759:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},8400:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57365,X],rep:[57366,X]}},8401:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57367,X]}},8406:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57368,X],rep:[57366,X]}},8417:{dir:s,HW:[[0.478,Z]],stretch:{left:[57368,X],rep:[57366,X],right:[57369,X]}},8428:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57371,X]}},8429:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57372,X],rep:[57370,X]}},8430:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57373,X],rep:[57370,X]}},8431:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57374,X]}},8512:{dir:f,HW:[[1.022,b],[1.45,ae]]},8606:{dir:s,HW:[[0.786,E]],stretch:{left:[8606,E],rep:[8722,E]}},8607:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[0.786,E]],stretch:{right:[8608,E],rep:[8722,E]}},8609:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[0.787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[0.816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[0.787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[0.816,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[0.816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:[8722,E],right:[57525,x]}},8618:{dir:s,HW:[[0.786,E]],stretch:{left:[57524,x],rep:[8722,E],right:[8594,E]}},8624:{dir:f,HW:[[0.818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[0.818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[0.816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[0.816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[0.786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[0.818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[0.847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[0.847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[0.847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[0.847,E]],stretch:{right:[8641,E],rep:[8722,E]}},8642:{dir:f,HW:[[0.818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[0.818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[0.786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[0.786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[0.806,E]],stretch:{left:[8666,E],rep:[57377,X]}},8667:{dir:s,HW:[[0.806,E]],stretch:{rep:[57377,X],right:[8667,E]}},8672:{dir:s,HW:[[0.806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[0.818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[0.806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[0.818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[0.806,x]],stretch:{left:[8676,x],rep:[8722,E]}},8677:{dir:s,HW:[[0.806,x]],stretch:{right:[8677,x],rep:[8722,E]}},8701:{dir:s,HW:[[0.806,x]],stretch:{left:[8701,x],rep:[8722,E]}},8702:{dir:s,HW:[[0.806,x]],stretch:{right:[8702,x],rep:[8722,E]}},8703:{dir:s,HW:[[0.886,x]],stretch:{left:[8701,x],rep:[8722,E],right:[8702,x]}},8719:{dir:f,HW:[[1.022,w],[1.451,ae]]},8720:{dir:f,HW:[[1.022,w],[1.451,ae]]},8721:{dir:f,HW:[[1.022,w],[1.45,ae]]},8731:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57381,X],ext:[57379,X],top:[57380,X]}},8732:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57382,X],ext:[57379,X],top:[57380,X]}},8747:{dir:s,HW:[[0.607,E],[0.979,ae]],stretch:{top:[57404,X],rep:[57405,X],bot:[57406,X]}},8748:{dir:f,HW:[[1.144,w],[2.269,ae]]},8749:{dir:f,HW:[[1.144,w],[2.269,ae]]},8750:{dir:f,HW:[[1.144,w],[2.269,ae]]},8751:{dir:f,HW:[[1.144,w],[2.269,ae]]},8752:{dir:f,HW:[[1.144,w],[2.269,ae]]},8753:{dir:f,HW:[[1.144,w],[2.269,ae]]},8754:{dir:f,HW:[[1.144,w],[2.269,ae]]},8755:{dir:f,HW:[[1.144,w],[2.269,ae]]},8896:{dir:f,HW:[[1.022,w],[1.451,ae]]},8897:{dir:f,HW:[[1.022,w],[1.451,ae]]},8898:{dir:f,HW:[[1.032,w],[1.461,ae]]},8899:{dir:f,HW:[[1.032,w],[1.461,ae]]},9130:{dir:f,HW:[[1.01,X,null,57357]],stretch:{top:[57357,X],ext:[57357,X],bot:[57357,X]}},9140:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57383,X],rep:[57384,X],right:[57385,X]}},9141:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57386,X],rep:[57387,X],right:[57388,X]}},9168:{dir:f,HW:[[0.304,E],[0.69,ae],[0.879,ac],[1.35,ac,1.536],[1.827,ac,2.078],[2.303,ac,2.62],[2.78,ac,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57389,X],rep:[57384,X],right:[57390,X]}},9181:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57391,X],rep:[57387,X],right:[57392,X]}},9184:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},9185:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},10098:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10099:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10214:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10219:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10224:{dir:f,HW:[[0.818,x]],stretch:{ext:[57399,X],top:[10224,x]}},10225:{dir:f,HW:[[0.818,x]],stretch:{bot:[10225,x],ext:[57399,X]}},10502:{dir:s,HW:[[0.816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[0.816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[0.818,x]],stretch:{ext:[57400,X],top:[10506,x]}},10507:{dir:f,HW:[[0.818,x]],stretch:{bot:[10507,x],ext:[57400,X]}},10514:{dir:f,HW:[[0.818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[0.818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[0.85,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8640,E]}},10575:{dir:f,HW:[[0.818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[0.85,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8641,E]}},10577:{dir:f,HW:[[0.818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[0.816,x]],stretch:{left:[10578,x],rep:[8722,E]}},10579:{dir:s,HW:[[0.816,x]],stretch:{right:[10579,x],rep:[8722,E]}},10580:{dir:f,HW:[[0.818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[0.818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[0.816,x]],stretch:{left:[10582,x],rep:[8722,E]}},10583:{dir:s,HW:[[0.816,x]],stretch:{right:[10583,x],rep:[8722,E]}},10584:{dir:f,HW:[[0.818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[0.818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[0.816,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10587:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8640,E]}},10588:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[0.816,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10591:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8641,E]}},10592:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[0.884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10628:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10629:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10630:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10647:{dir:f,HW:[[0.932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[0.932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1.022,w],[1.451,ae]]},10753:{dir:f,HW:[[1.022,w],[1.451,ae]]},10754:{dir:f,HW:[[1.022,w],[1.451,ae]]},10755:{dir:f,HW:[[1.032,w],[1.461,ae]]},10756:{dir:f,HW:[[1.032,w],[1.461,ae]]},10757:{dir:f,HW:[[1.022,w],[1.451,ae]]},10758:{dir:f,HW:[[1.022,w],[1.451,ae]]},10759:{dir:f,HW:[[1.022,w],[1.451,ae]]},10760:{dir:f,HW:[[1.022,w],[1.451,ae]]},10761:{dir:f,HW:[[1.022,w],[1.451,ae]]},10762:{dir:f,HW:[[1.022,w],[1.45,ae]]},10763:{dir:f,HW:[[1.144,w],[2.269,ae]]},10764:{dir:f,HW:[[1.144,w],[2.269,ae]]},10765:{dir:f,HW:[[1.144,w],[2.269,ae]]},10766:{dir:f,HW:[[1.144,w],[2.269,ae]]},10767:{dir:f,HW:[[1.144,w],[2.269,ae]]},10768:{dir:f,HW:[[1.144,w],[2.269,ae]]},10769:{dir:f,HW:[[1.144,w],[2.269,ae]]},10770:{dir:f,HW:[[1.144,w],[2.269,ae]]},10771:{dir:f,HW:[[1.144,w],[2.269,ae]]},10772:{dir:f,HW:[[1.144,w],[2.269,ae]]},10773:{dir:f,HW:[[1.144,w],[2.269,ae]]},10774:{dir:f,HW:[[1.144,w],[2.269,ae]]},10775:{dir:f,HW:[[1.144,w],[2.269,ae]]},10776:{dir:f,HW:[[1.144,w],[2.269,ae]]},10777:{dir:f,HW:[[1.144,w],[2.269,ae]]},10778:{dir:f,HW:[[1.144,w],[2.269,ae]]},10779:{dir:f,HW:[[1.267,w],[2.426,ae]]},10780:{dir:f,HW:[[1.267,w],[2.426,ae]]},11004:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11007:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11077:{dir:s,HW:[[0.818,l]],stretch:{left:[11077,l],rep:[57401,X]}}};for(var U in n){if(n.hasOwnProperty(U)){t[U]=n[U]}}MathJax.Ajax.loadComplete(ai.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
index 10933f12f..58167a526 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(ai,l,al){var B="2.3";var t="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",w="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",aj="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ag="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",x="STIXMathJax_Misc",ak="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",v="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",u="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ah="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var s="H",f="V",L={load:"extra",dir:s},y={load:"extra",dir:f};ai.Augment({FONTDATA:{version:B,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[E,ak,K,e,Z,w,v,u,m,x,M,ae]},bold:{fonts:[aj,Q,q,i,A,C,G,I,S,j,af,J,h,o,ae],bold:true},italic:{fonts:[P,T,O,c,am,D,z,n,ad,ah,ae],italic:true},bolditalic:{fonts:[R,ab,a,g,N,U,t,k,r,ag,F,ae],bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],bold:true,offsetA:120172},script:{fonts:[O],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetG:57725},"bold-sans-serif":{fonts:[A],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[am],italic:true,offsetA:120328,offsetN:57780,offsetG:57791},"sans-serif-bold-italic":{fonts:[N],bold:true,italic:true,offsetA:120380,offsetN:57846,offsetG:120720},monospace:{fonts:[ak],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663},fonts:[M,m,v,E,ak,K,e,Z,w,u,x,ae]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ah,P,T,O,c,am,D,z,n,ad,ae],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[M,E,ak,K,e,Z,w,v,u,m,x,ae]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[F,R,ab,a,g,N,U,t,k,r,ag,ae],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,aj,Q,q,i,A,C,G,I,S,j,af,J,h,ae],bold:true},"-tex-mathit":{fonts:[P,T,O,c,am,D,z,n,ad,ah,ae],italic:true,noIC:true},"-largeOp":{fonts:[ae,E]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:9135,REMAP:{12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u2192":"\u20D7"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},41:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},45:{alias:9135,dir:s},47:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},61:L,91:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X],top:[57352,X]}},92:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},93:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X],top:[57355,X]}},94:{alias:710,dir:s},95:{alias:9135,dir:s},123:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57356,X],ext:[57357,X],mid:[57358,X],top:[57359,X]}},124:{dir:f,HW:[[0.69,E]],stretch:{bot:[124,E],ext:[124,E]}},125:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57360,X],ext:[57357,X],mid:[57361,X],top:[57362,X]}},126:{alias:732,dir:s},175:{alias:9135,dir:s},710:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},711:L,713:{alias:9135,dir:s},717:L,732:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},759:L,770:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},771:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},773:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57363,X],rep:[57363,X]}},780:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},816:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},818:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57364,X],rep:[57364,X]}},824:{dir:f,HW:[[0.818,E],[0.553,ae],[0.662,ac],[0.818,aa],[0.959,Y],[1.414,X]]},8213:{alias:9135,dir:s},8214:{dir:f,HW:[[0.879,E]],stretch:{bot:[8214,E],ext:[8214,E]}},8215:{alias:9135,dir:s},8254:{dir:s,HW:[[0.5,E],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[8254,E],rep:[8254,E]}},8400:L,8401:L,8406:L,8407:{dir:s,HW:[[0.436,E],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57369,X]}},8417:L,8428:L,8429:L,8430:L,8431:L,8512:y,8592:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:[9135,u]}},8593:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8593,E]}},8594:{dir:s,HW:[[0.786,E]],stretch:{rep:[9135,u],right:[8594,E]}},8595:{dir:f,HW:[[0.818,E]],stretch:{bot:[8595,E],ext:[9168,E]}},8596:{dir:s,HW:[[0.85,E]],stretch:{left:[8592,E],rep:[9135,u],right:[8594,E]}},8597:{dir:f,HW:[[0.954,E]],stretch:{bot:[8595,E],ext:[9168,E],top:[8593,E]}},8606:L,8607:y,8608:L,8609:y,8612:L,8613:y,8614:L,8615:y,8616:y,8617:L,8618:L,8624:y,8625:y,8626:y,8627:y,8628:L,8629:y,8636:L,8637:L,8638:y,8639:y,8640:L,8641:L,8642:y,8643:y,8651:L,8652:L,8656:{dir:s,HW:[[0.806,E]],stretch:{left:[8656,E],rep:[57375,X]}},8657:{dir:f,HW:[[0.818,E]],stretch:{ext:[57376,X],top:[8657,E]}},8658:{dir:s,HW:[[0.806,E]],stretch:{rep:[57375,X],right:[8658,E]}},8659:{dir:f,HW:[[0.818,E]],stretch:{bot:[8659,E],ext:[57376,X]}},8660:{dir:s,HW:[[0.886,E]],stretch:{left:[8656,E],rep:[57375,X],right:[8658,E]}},8661:{dir:f,HW:[[0.954,E]],stretch:{bot:[8659,E],ext:[57376,X],top:[8657,E]}},8666:L,8667:L,8672:L,8673:y,8674:L,8675:y,8676:L,8677:L,8701:L,8702:L,8703:L,8719:y,8720:y,8721:y,8722:{alias:9135,dir:s},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1.232,E],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57378,X],ext:[57379,X],top:[57380,X]}},8731:y,8732:y,8739:{dir:f,HW:[[0.879,E]],stretch:{ext:[8739,E]}},8741:{dir:f,HW:[[0.879,E]],stretch:{ext:[8741,E]}},8747:L,8748:y,8749:y,8750:y,8751:y,8752:y,8753:y,8754:y,8755:y,8896:y,8897:y,8898:y,8899:y,8968:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57351,X],top:[57352,X]}},8969:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57354,X],top:[57355,X]}},8970:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X]}},8971:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X]}},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:y,9135:{dir:s,HW:[[0.315,u]],stretch:{rep:[9135,u]}},9136:{dir:f,HW:[[1.001,X,null,57402]],stretch:{top:[57359,X],ext:[57357,X],bot:[57360,X]}},9137:{dir:f,HW:[[1.001,X,null,57403]],stretch:{top:[57362,X],ext:[57357,X],bot:[57356,X]}},9140:L,9141:L,9168:y,9180:L,9181:L,9182:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57393,X],rep:[57384,X],mid:[57394,X],right:[57395,X]}},9183:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57396,X],rep:[57387,X],mid:[57397,X],right:[57398,X]}},9184:L,9185:L,9472:{alias:8722,dir:s},10072:{alias:8739,dir:f},10098:y,10099:y,10214:y,10215:y,10216:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10217:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10218:y,10219:y,10222:{dir:f,HW:[[0.853,E]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},10223:{dir:f,HW:[[0.853,E]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},10224:y,10225:y,10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:L,10503:L,10506:y,10507:y,10514:y,10515:y,10574:L,10575:y,10576:L,10577:y,10578:L,10579:L,10580:y,10581:y,10582:L,10583:L,10584:y,10585:y,10586:L,10587:L,10588:y,10589:y,10590:L,10591:L,10592:y,10593:y,10624:y,10627:y,10628:y,10629:y,10630:y,10647:y,10648:y,10744:{dir:f,HW:[[1.02,E],[1.845,ae]]},10745:{dir:f,HW:[[1.02,E],[1.845,ae]]},10752:y,10753:y,10754:y,10755:y,10756:y,10757:y,10758:y,10759:y,10760:y,10761:y,10762:y,10763:y,10764:y,10765:y,10766:y,10767:y,10768:y,10769:y,10770:y,10771:y,10772:y,10773:y,10774:y,10775:y,10776:y,10777:y,10778:y,10779:y,10780:y,11004:y,11007:y,11077:L,11078:{dir:s,HW:[[0.818,m]],stretch:{rep:[57401,X],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(ai.fontDir+"/Main/Regular/Main.js",function(){ai.FONTDATA.FONTS[E][8942][0]+=400;ai.FONTDATA.FONTS[E][8945][0]+=500;ai.FONTDATA.FONTS[E][8722][1]+=100;ai.FONTDATA.FONTS[E][61][1]+=100});MathJax.Hub.Register.LoadHook(ai.fontDir+"/Size5/Regular/Main.js",function(){var H;H=ai.FONTDATA.DELIMITERS[9182].stretch.rep[0];ai.FONTDATA.FONTS[X][H][0]+=200;ai.FONTDATA.FONTS[X][H][1]+=200;H=ai.FONTDATA.DELIMITERS[9183].stretch.rep[0];ai.FONTDATA.FONTS[X][H][0]+=200;ai.FONTDATA.FONTS[X][H][1]+=200});al.loadComplete(ai.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(ai,l,al){var B="2.4-beta";var t="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",w="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",aj="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ag="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",x="STIXMathJax_Misc",ak="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",v="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",u="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ah="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var s="H",f="V",L={load:"extra",dir:s},y={load:"extra",dir:f};ai.Augment({FONTDATA:{version:B,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[E,ak,K,e,Z,w,v,u,m,x,M,ae]},bold:{fonts:[aj,Q,q,i,A,C,G,I,S,j,af,J,h,o,ae],bold:true},italic:{fonts:[P,T,O,c,am,D,z,n,ad,ah,ae],italic:true},"bold-italic":{fonts:[R,ab,a,g,N,U,t,k,r,ag,F,ae],bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],bold:true,offsetA:120172},script:{fonts:[O],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetG:57725,offsetE:57725},"bold-sans-serif":{fonts:[A],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[am],italic:true,offsetA:120328,offsetN:57780,offsetG:57791,offsetE:57791},"sans-serif-bold-italic":{fonts:[N],bold:true,italic:true,offsetA:120380,offsetN:57846,offsetG:120720},monospace:{fonts:[ak],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663},fonts:[M,m,v,E,ak,K,e,Z,w,u,x,ae]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ah,P,T,O,c,am,D,z,n,ad,ae],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[M,E,ak,K,e,Z,w,v,u,m,x,ae]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[F,R,ab,a,g,N,U,t,k,r,ag,ae],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,aj,Q,q,i,A,C,G,I,S,j,af,J,h,ae],bold:true},"-tex-mathit":{fonts:[P,T,O,c,am,D,z,n,ad,ah,ae],italic:true,noIC:true},"-largeOp":{fonts:[ae,E]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek-non-unicode",low:945,high:969,offset:"E",add:25},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:9135,REMAP:{12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},41:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},45:{alias:9135,dir:s},47:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},61:L,91:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X],top:[57352,X]}},92:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},93:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X],top:[57355,X]}},94:{alias:710,dir:s},95:{alias:9135,dir:s},123:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57356,X],ext:[57357,X],mid:[57358,X],top:[57359,X]}},124:{dir:f,HW:[[0.69,E]],stretch:{bot:[124,E],ext:[124,E]}},125:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57360,X],ext:[57357,X],mid:[57361,X],top:[57362,X]}},126:{alias:732,dir:s},175:{alias:9135,dir:s},710:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},711:L,713:{alias:9135,dir:s},717:L,732:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},759:L,770:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},771:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},773:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57363,X],rep:[57363,X]}},780:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},816:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},818:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57364,X],rep:[57364,X]}},824:{dir:f,HW:[[0.818,E],[0.553,ae],[0.662,ac],[0.818,aa],[0.959,Y],[1.414,X]]},8213:{alias:9135,dir:s},8214:{dir:f,HW:[[0.879,E]],stretch:{bot:[8214,E],ext:[8214,E]}},8215:{alias:9135,dir:s},8254:{dir:s,HW:[[0.5,E],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[8254,E],rep:[8254,E]}},8400:L,8401:L,8406:L,8407:{dir:s,HW:[[0.436,E],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57369,X]}},8417:L,8428:L,8429:L,8430:L,8431:L,8512:y,8592:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:[9135,u]}},8593:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8593,E]}},8594:{dir:s,HW:[[0.786,E]],stretch:{rep:[9135,u],right:[8594,E]}},8595:{dir:f,HW:[[0.818,E]],stretch:{bot:[8595,E],ext:[9168,E]}},8596:{dir:s,HW:[[0.85,E]],stretch:{left:[8592,E],rep:[9135,u],right:[8594,E]}},8597:{dir:f,HW:[[0.954,E]],stretch:{bot:[8595,E],ext:[9168,E],top:[8593,E]}},8606:L,8607:y,8608:L,8609:y,8612:L,8613:y,8614:L,8615:y,8616:y,8617:L,8618:L,8624:y,8625:y,8626:y,8627:y,8628:L,8629:y,8636:L,8637:L,8638:y,8639:y,8640:L,8641:L,8642:y,8643:y,8651:L,8652:L,8656:{dir:s,HW:[[0.806,E]],stretch:{left:[8656,E],rep:[57375,X]}},8657:{dir:f,HW:[[0.818,E]],stretch:{ext:[57376,X],top:[8657,E]}},8658:{dir:s,HW:[[0.806,E]],stretch:{rep:[57375,X],right:[8658,E]}},8659:{dir:f,HW:[[0.818,E]],stretch:{bot:[8659,E],ext:[57376,X]}},8660:{dir:s,HW:[[0.886,E]],stretch:{left:[8656,E],rep:[57375,X],right:[8658,E]}},8661:{dir:f,HW:[[0.954,E]],stretch:{bot:[8659,E],ext:[57376,X],top:[8657,E]}},8666:L,8667:L,8672:L,8673:y,8674:L,8675:y,8676:L,8677:L,8701:L,8702:L,8703:L,8719:y,8720:y,8721:y,8722:{alias:9135,dir:s},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1.232,E],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57378,X],ext:[57379,X],top:[57380,X]}},8731:y,8732:y,8739:{dir:f,HW:[[0.879,E]],stretch:{ext:[8739,E]}},8741:{dir:f,HW:[[0.879,E]],stretch:{ext:[8741,E]}},8747:L,8748:y,8749:y,8750:y,8751:y,8752:y,8753:y,8754:y,8755:y,8896:y,8897:y,8898:y,8899:y,8968:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57351,X],top:[57352,X]}},8969:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57354,X],top:[57355,X]}},8970:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X]}},8971:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X]}},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:y,9135:{dir:s,HW:[[0.315,u]],stretch:{rep:[9135,u]}},9136:{dir:f,HW:[[1.001,X,null,57402]],stretch:{top:[57359,X],ext:[57357,X],bot:[57360,X]}},9137:{dir:f,HW:[[1.001,X,null,57403]],stretch:{top:[57362,X],ext:[57357,X],bot:[57356,X]}},9140:L,9141:L,9168:y,9180:L,9181:L,9182:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57393,X],rep:[57384,X],mid:[57394,X],right:[57395,X]}},9183:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57396,X],rep:[57387,X],mid:[57397,X],right:[57398,X]}},9184:L,9185:L,9472:{alias:8722,dir:s},10072:{alias:8739,dir:f},10098:y,10099:y,10214:y,10215:y,10216:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10217:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10218:y,10219:y,10222:{dir:f,HW:[[0.853,E]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},10223:{dir:f,HW:[[0.853,E]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},10224:y,10225:y,10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:L,10503:L,10506:y,10507:y,10514:y,10515:y,10574:L,10575:y,10576:L,10577:y,10578:L,10579:L,10580:y,10581:y,10582:L,10583:L,10584:y,10585:y,10586:L,10587:L,10588:y,10589:y,10590:L,10591:L,10592:y,10593:y,10624:y,10627:y,10628:y,10629:y,10630:y,10647:y,10648:y,10744:{dir:f,HW:[[1.02,E],[1.845,ae]]},10745:{dir:f,HW:[[1.02,E],[1.845,ae]]},10752:y,10753:y,10754:y,10755:y,10756:y,10757:y,10758:y,10759:y,10760:y,10761:y,10762:y,10763:y,10764:y,10765:y,10766:y,10767:y,10768:y,10769:y,10770:y,10771:y,10772:y,10773:y,10774:y,10775:y,10776:y,10777:y,10778:y,10779:y,10780:y,11004:y,11007:y,11077:L,11078:{dir:s,HW:[[0.818,m]],stretch:{rep:[57401,X],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(ai.fontDir+"/Main/Regular/Main.js",function(){ai.FONTDATA.FONTS[E][8942][0]+=400;ai.FONTDATA.FONTS[E][8945][0]+=500;ai.FONTDATA.FONTS[E][8722][1]+=100;ai.FONTDATA.FONTS[E][61][1]+=100});MathJax.Hub.Register.LoadHook(ai.fontDir+"/Size5/Regular/Main.js",function(){var H;H=ai.FONTDATA.DELIMITERS[9182].stretch.rep[0];ai.FONTDATA.FONTS[X][H][0]+=200;ai.FONTDATA.FONTS[X][H][1]+=200;H=ai.FONTDATA.DELIMITERS[9183].stretch.rep[0];ai.FONTDATA.FONTS[X][H][0]+=200;ai.FONTDATA.FONTS[X][H][1]+=200});al.loadComplete(ai.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js b/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
index d4b5f5155..c20340960 100644
--- a/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(h){var p="2.3";var m=h.FONTDATA.DELIMITERS;var k="STIXGeneral",i="STIXGeneral-bold",j="STIXVariants",n="STIXNonUnicode",f="STIXSizeOneSym",d="STIXSizeTwoSym",b="STIXSizeThreeSym",a="STIXSizeFourSym",o="STIXSizeFiveSym";var l="H",g="V";var e={61:{dir:l,HW:[[0.685,k]],stretch:{rep:[61,k]}},8606:{dir:l,HW:[[0.926,k]],stretch:{left:[8606,k],rep:[8722,k]}},8608:{dir:l,HW:[[0.926,k]],stretch:{right:[8608,k],rep:[8722,k]}},8612:{dir:l,HW:[[0.926,k]],stretch:{left:[8592,j],rep:[8722,k],right:[8867,i,0,0.1,0.6]}},8613:{dir:g,HW:[[0.816,k]],stretch:{bot:[95,k,0.05,-0.01,0.8],ext:[9168,k],top:[8593,k]}},8614:{dir:l,HW:[[1,k]],stretch:{left:[57526,n],rep:[8722,k],right:[8594,k]}},8615:{dir:g,HW:[[0.816,k]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,k],bot:[8595,k]}},8624:{dir:g,HW:[[0.818,k]],stretch:{top:[8624,k],ext:[9168,k,0.152]}},8625:{dir:g,HW:[[0.818,k]],stretch:{top:[8625,k],ext:[9168,k,-0.195]}},8636:{dir:l,HW:[[0.955,k]],stretch:{left:[8636,k],rep:[8722,k]}},8637:{dir:l,HW:[[0.955,k]],stretch:{left:[8637,k],rep:[8722,k]}},8638:{dir:g,HW:[[0.818,k]],stretch:{top:[8638,k],ext:[9168,k]}},8639:{dir:g,HW:[[0.818,k]],stretch:{top:[8639,k],ext:[9168,k]}},8640:{dir:l,HW:[[0.955,k]],stretch:{right:[8640,k],rep:[8722,k]}},8641:{dir:l,HW:[[0.955,k]],stretch:{right:[8641,k],rep:[8722,k]}},8642:{dir:g,HW:[[0.818,k]],stretch:{bot:[8642,k],ext:[9168,k]}},8643:{dir:g,HW:[[0.818,k]],stretch:{bot:[8643,k],ext:[9168,k]}},8666:{dir:l,HW:[[0.926,k]],stretch:{left:[8666,k],rep:[8801,k]}},8667:{dir:l,HW:[[0.926,k]],stretch:{right:[8667,k],rep:[8801,k]}},9140:{dir:l,HW:[[0.926,k],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,o]],stretch:{left:[8976,k],rep:[8722,k,0,0.12],right:[172,k]}},9141:{dir:l,HW:[[0.926,k],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,o]],stretch:{left:[10813,k,0,0.12],rep:[8722,k,0,0,0,0.12],right:[10812,k,0,0.12]}},9180:{dir:l,HW:[[0.926,f],[1,k],[1.46,d],[1.886,b],[2.328,a],[3.237,o]],stretch:{left:[57659,n],right:[57660,n],rep:[57674,n]}},9181:{dir:l,HW:[[0.926,f],[1,k],[1.46,d],[1.886,b],[2.328,a],[3.237,o]],stretch:{left:[57661,n],right:[57662,n],rep:[57675,n]}},9184:{dir:l,HW:[[1,k],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,o]],stretch:{left:[57613,n,-0.1,-0.1],rep:[8722,k,0,0.05],right:[57612,n,0,-0.1],fullExtenders:true}},9185:{dir:l,HW:[[1,k],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,o]],stretch:{left:[57612,n,-0.1,0.1],rep:[8722,k,0,-0.1,0,0.1],right:[57613,n,0,0.1],fullExtenders:true}},10502:{dir:l,HW:[[0.926,k]],stretch:{left:[8656,k],rep:[61,k],right:[10980,k,0,-0.09]}},10503:{dir:l,HW:[[0.926,k]],stretch:{left:[8872,k,0,-0.09],rep:[61,k],right:[8658,k]}},10574:{dir:l,HW:[],stretch:{left:[8636,k],rep:[8722,k],right:[8640,k]}},10575:{dir:g,HW:[[0.818,k]],stretch:{top:[8638,k],ext:[9168,k],bot:[8642,k]}},10576:{dir:l,HW:[[0.926,k]],stretch:{left:[8637,k],rep:[8722,k],right:[8641,k]}},10577:{dir:g,HW:[[0.818,k]],stretch:{top:[8639,k],ext:[9168,k],bot:[8643,k]}},10586:{dir:l,HW:[[0.926,k]],stretch:{left:[8636,k],rep:[8722,k],right:[8867,i,0,0.1,0.6]}},10587:{dir:l,HW:[[0.926,k]],stretch:{left:[57526,n],rep:[8722,k],right:[8640,k]}},10588:{dir:g,HW:[[0.818,k]],stretch:{bot:[95,k,0.05,-0.01,0.8],ext:[9168,k],top:[8638,k]}},10589:{dir:g,HW:[[0.818,k]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,k],bot:[8642,k]}},10590:{dir:l,HW:[[0.926,k]],stretch:{left:[8637,k],rep:[8722,k],right:[8867,i,0,0.1,0.6]}},10591:{dir:l,HW:[[0.926,k]],stretch:{left:[57526,n],rep:[8722,k],right:[8641,k]}},10592:{dir:g,HW:[[0.818,k]],stretch:{bot:[95,k,0.05,-0.01,0.8],ext:[9168,k],top:[8639,k]}},10593:{dir:g,HW:[[0.818,k]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,k],bot:[8643,k]}},711:{dir:l,HW:[[0.333,k],[0.56,f],[0.979,d],[1.458,b],[1.886,a],[2.328,o]]},717:{dir:l,HW:[[0.334,k]],stretch:{rep:[717,k]}},759:{dir:l,HW:[[0.558,f],[0.977,d],[1.458,b],[1.886,a],[2.328,o]]},8607:{dir:g,HW:[[0.816,k]],stretch:{ext:[9168,k],top:[8607,k]}},8609:{dir:g,HW:[[0.816,k]],stretch:{ext:[9168,k],bot:[8609,k]}},8616:{dir:g,HW:[[0.816,k]],stretch:{top:[8593,k],ext:[9168,k],bot:[10515,k]}},8617:{dir:l,HW:[[0.926,k]],stretch:{left:[8592,k],rep:[8722,k],right:[57525,n]}},8618:{dir:l,HW:[[0.926,k]],stretch:{left:[57524,n],rep:[8722,k],right:[8594,k]}},8626:{dir:g,HW:[[0.818,k]],stretch:{bot:[8626,k],ext:[9168,k,0.152]}},8627:{dir:g,HW:[[0.818,k]],stretch:{bot:[8627,k],ext:[9168,k,-0.195]}},8628:{dir:l,HW:[[0.926,k]],stretch:{rep:[8722,k,0,0.4],right:[8628,k]}},8629:{dir:g,HW:[[0.818,k]],stretch:{bot:[8629,k],ext:[9168,k,0.57]}},8651:{dir:l,HW:[[0.926,k]],stretch:{left:[10602,k],rep:[61,k],right:[10605,k]}},8652:{dir:l,HW:[[0.926,k]],stretch:{left:[10603,k],rep:[61,k],right:[10604,k]}},8672:{dir:l,HW:[[0.926,k]],stretch:{left:[8672,k],rep:[57633,n,0,0,0,0,0.1],fullExtenders:true}},8673:{dir:g,HW:[[0.818,k]],stretch:{ext:[57645,n],top:[8673,k],fullExtenders:true}},8674:{dir:l,HW:[[0.926,k]],stretch:{right:[8674,j],rep:[57646,n,0,0,0,0,0.1],fullExtenders:true}},8675:{dir:g,HW:[[0.818,k]],stretch:{ext:[57644,n],bot:[8675,k],fullExtenders:true}},8676:{dir:l,HW:[[0.926,k]],stretch:{left:[8676,k],rep:[8722,k]}},8677:{dir:l,HW:[[0.926,k]],stretch:{right:[8677,k],rep:[8722,k]}},8701:{dir:l,HW:[[0.926,k]],stretch:{left:[8701,k],rep:[8722,k]}},8702:{dir:l,HW:[[0.926,k]],stretch:{right:[8702,k],rep:[8722,k]}},8703:{dir:l,HW:[[0.926,k]],stretch:{left:[8701,k],rep:[8722,k],right:[8702,k]}},10214:{dir:g,HW:[[0.93,k],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9555,k],ext:[9553,k],bot:[9561,k]}},10215:{dir:g,HW:[[0.93,k],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9558,k],ext:[9553,k],bot:[9564,k]}},10218:{dir:g,HW:[[0.931,k],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10219:{dir:g,HW:[[0.931,k],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10506:{dir:g,HW:[[0.818,k]],stretch:{top:[10506,k],ext:[57653,n]}},10507:{dir:g,HW:[[0.818,k]],stretch:{bot:[10507,k],ext:[57653,n]}},10514:{dir:g,HW:[[0.818,k]],stretch:{top:[10514,k],ext:[9168,k]}},10515:{dir:g,HW:[[0.818,k]],stretch:{bot:[10515,k],ext:[9168,k]}},10578:{dir:l,HW:[[0.926,k]],stretch:{left:[10578,k],rep:[8722,k]}},10579:{dir:l,HW:[[0.926,k]],stretch:{right:[10579,k],rep:[8722,k]}},10580:{dir:g,HW:[[0.818,k]],stretch:{top:[10580,k],ext:[9168,k]}},10581:{dir:g,HW:[[0.818,k]],stretch:{bot:[10581,k],ext:[9168,k]}},10582:{dir:l,HW:[[0.926,k]],stretch:{left:[10582,k],rep:[8722,k]}},10583:{dir:l,HW:[[0.926,k]],stretch:{right:[10583,k],rep:[8722,k]}},10584:{dir:g,HW:[[0.818,k]],stretch:{top:[10584,k],ext:[9168,k]}},10585:{dir:g,HW:[[0.818,k]],stretch:{bot:[10585,k],ext:[9168,k]}},10624:{dir:g,HW:[[0.874,k]],stretch:{ext:[10624,k]}},10647:{dir:g,HW:[[0.932,k]],stretch:{top:[57613,n,0.1,0.05],ext:[9168,k,-0.1],bot:[57612,n,0.1]}},10648:{dir:g,HW:[[0.932,k]],stretch:{top:[57612,n,-0.1,0.05],ext:[9168,k],bot:[57613,n,-0.1]}}};for(var c in e){if(e.hasOwnProperty(c)){m[c]=e[c]}}MathJax.Ajax.loadComplete(h.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(h){var p="2.4-beta";var m=h.FONTDATA.DELIMITERS;var k="STIXGeneral",i="STIXGeneral-bold",j="STIXVariants",n="STIXNonUnicode",f="STIXSizeOneSym",d="STIXSizeTwoSym",b="STIXSizeThreeSym",a="STIXSizeFourSym",o="STIXSizeFiveSym";var l="H",g="V";var e={61:{dir:l,HW:[[0.685,k]],stretch:{rep:[61,k]}},8606:{dir:l,HW:[[0.926,k]],stretch:{left:[8606,k],rep:[8722,k]}},8608:{dir:l,HW:[[0.926,k]],stretch:{right:[8608,k],rep:[8722,k]}},8612:{dir:l,HW:[[0.926,k]],stretch:{left:[8592,j],rep:[8722,k],right:[8867,i,0,0.1,0.6]}},8613:{dir:g,HW:[[0.816,k]],stretch:{bot:[95,k,0.05,-0.01,0.8],ext:[9168,k],top:[8593,k]}},8614:{dir:l,HW:[[1,k]],stretch:{left:[57526,n],rep:[8722,k],right:[8594,k]}},8615:{dir:g,HW:[[0.816,k]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,k],bot:[8595,k]}},8624:{dir:g,HW:[[0.818,k]],stretch:{top:[8624,k],ext:[9168,k,0.152]}},8625:{dir:g,HW:[[0.818,k]],stretch:{top:[8625,k],ext:[9168,k,-0.195]}},8636:{dir:l,HW:[[0.955,k]],stretch:{left:[8636,k],rep:[8722,k]}},8637:{dir:l,HW:[[0.955,k]],stretch:{left:[8637,k],rep:[8722,k]}},8638:{dir:g,HW:[[0.818,k]],stretch:{top:[8638,k],ext:[9168,k]}},8639:{dir:g,HW:[[0.818,k]],stretch:{top:[8639,k],ext:[9168,k]}},8640:{dir:l,HW:[[0.955,k]],stretch:{right:[8640,k],rep:[8722,k]}},8641:{dir:l,HW:[[0.955,k]],stretch:{right:[8641,k],rep:[8722,k]}},8642:{dir:g,HW:[[0.818,k]],stretch:{bot:[8642,k],ext:[9168,k]}},8643:{dir:g,HW:[[0.818,k]],stretch:{bot:[8643,k],ext:[9168,k]}},8666:{dir:l,HW:[[0.926,k]],stretch:{left:[8666,k],rep:[8801,k]}},8667:{dir:l,HW:[[0.926,k]],stretch:{right:[8667,k],rep:[8801,k]}},9140:{dir:l,HW:[[0.926,k],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,o]],stretch:{left:[8976,k],rep:[8722,k,0,0.12],right:[172,k]}},9141:{dir:l,HW:[[0.926,k],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,o]],stretch:{left:[10813,k,0,0.12],rep:[8722,k,0,0,0,0.12],right:[10812,k,0,0.12]}},9180:{dir:l,HW:[[0.926,f],[1,k],[1.46,d],[1.886,b],[2.328,a],[3.237,o]],stretch:{left:[57659,n],right:[57660,n],rep:[57674,n]}},9181:{dir:l,HW:[[0.926,f],[1,k],[1.46,d],[1.886,b],[2.328,a],[3.237,o]],stretch:{left:[57661,n],right:[57662,n],rep:[57675,n]}},9184:{dir:l,HW:[[1,k],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,o]],stretch:{left:[57613,n,-0.1,-0.1],rep:[8722,k,0,0.05],right:[57612,n,0,-0.1],fullExtenders:true}},9185:{dir:l,HW:[[1,k],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,o]],stretch:{left:[57612,n,-0.1,0.1],rep:[8722,k,0,-0.1,0,0.1],right:[57613,n,0,0.1],fullExtenders:true}},10502:{dir:l,HW:[[0.926,k]],stretch:{left:[8656,k],rep:[61,k],right:[10980,k,0,-0.09]}},10503:{dir:l,HW:[[0.926,k]],stretch:{left:[8872,k,0,-0.09],rep:[61,k],right:[8658,k]}},10574:{dir:l,HW:[],stretch:{left:[8636,k],rep:[8722,k],right:[8640,k]}},10575:{dir:g,HW:[[0.818,k]],stretch:{top:[8638,k],ext:[9168,k],bot:[8642,k]}},10576:{dir:l,HW:[[0.926,k]],stretch:{left:[8637,k],rep:[8722,k],right:[8641,k]}},10577:{dir:g,HW:[[0.818,k]],stretch:{top:[8639,k],ext:[9168,k],bot:[8643,k]}},10586:{dir:l,HW:[[0.926,k]],stretch:{left:[8636,k],rep:[8722,k],right:[8867,i,0,0.1,0.6]}},10587:{dir:l,HW:[[0.926,k]],stretch:{left:[57526,n],rep:[8722,k],right:[8640,k]}},10588:{dir:g,HW:[[0.818,k]],stretch:{bot:[95,k,0.05,-0.01,0.8],ext:[9168,k],top:[8638,k]}},10589:{dir:g,HW:[[0.818,k]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,k],bot:[8642,k]}},10590:{dir:l,HW:[[0.926,k]],stretch:{left:[8637,k],rep:[8722,k],right:[8867,i,0,0.1,0.6]}},10591:{dir:l,HW:[[0.926,k]],stretch:{left:[57526,n],rep:[8722,k],right:[8641,k]}},10592:{dir:g,HW:[[0.818,k]],stretch:{bot:[95,k,0.05,-0.01,0.8],ext:[9168,k],top:[8639,k]}},10593:{dir:g,HW:[[0.818,k]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,k],bot:[8643,k]}},711:{dir:l,HW:[[0.333,k],[0.56,f],[0.979,d],[1.458,b],[1.886,a],[2.328,o]]},717:{dir:l,HW:[[0.334,k]],stretch:{rep:[717,k]}},759:{dir:l,HW:[[0.558,f],[0.977,d],[1.458,b],[1.886,a],[2.328,o]]},8607:{dir:g,HW:[[0.816,k]],stretch:{ext:[9168,k],top:[8607,k]}},8609:{dir:g,HW:[[0.816,k]],stretch:{ext:[9168,k],bot:[8609,k]}},8616:{dir:g,HW:[[0.816,k]],stretch:{top:[8593,k],ext:[9168,k],bot:[10515,k]}},8617:{dir:l,HW:[[0.926,k]],stretch:{left:[8592,k],rep:[8722,k],right:[57525,n]}},8618:{dir:l,HW:[[0.926,k]],stretch:{left:[57524,n],rep:[8722,k],right:[8594,k]}},8626:{dir:g,HW:[[0.818,k]],stretch:{bot:[8626,k],ext:[9168,k,0.152]}},8627:{dir:g,HW:[[0.818,k]],stretch:{bot:[8627,k],ext:[9168,k,-0.195]}},8628:{dir:l,HW:[[0.926,k]],stretch:{rep:[8722,k,0,0.4],right:[8628,k]}},8629:{dir:g,HW:[[0.818,k]],stretch:{bot:[8629,k],ext:[9168,k,0.57]}},8651:{dir:l,HW:[[0.926,k]],stretch:{left:[10602,k],rep:[61,k],right:[10605,k]}},8652:{dir:l,HW:[[0.926,k]],stretch:{left:[10603,k],rep:[61,k],right:[10604,k]}},8672:{dir:l,HW:[[0.926,k]],stretch:{left:[8672,k],rep:[57633,n,0,0,0,0,0.1],fullExtenders:true}},8673:{dir:g,HW:[[0.818,k]],stretch:{ext:[57645,n],top:[8673,k],fullExtenders:true}},8674:{dir:l,HW:[[0.926,k]],stretch:{right:[8674,j],rep:[57646,n,0,0,0,0,0.1],fullExtenders:true}},8675:{dir:g,HW:[[0.818,k]],stretch:{ext:[57644,n],bot:[8675,k],fullExtenders:true}},8676:{dir:l,HW:[[0.926,k]],stretch:{left:[8676,k],rep:[8722,k]}},8677:{dir:l,HW:[[0.926,k]],stretch:{right:[8677,k],rep:[8722,k]}},8701:{dir:l,HW:[[0.926,k]],stretch:{left:[8701,k],rep:[8722,k]}},8702:{dir:l,HW:[[0.926,k]],stretch:{right:[8702,k],rep:[8722,k]}},8703:{dir:l,HW:[[0.926,k]],stretch:{left:[8701,k],rep:[8722,k],right:[8702,k]}},10214:{dir:g,HW:[[0.93,k],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9555,k],ext:[9553,k],bot:[9561,k]}},10215:{dir:g,HW:[[0.93,k],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9558,k],ext:[9553,k],bot:[9564,k]}},10218:{dir:g,HW:[[0.931,k],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10219:{dir:g,HW:[[0.931,k],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10506:{dir:g,HW:[[0.818,k]],stretch:{top:[10506,k],ext:[57653,n]}},10507:{dir:g,HW:[[0.818,k]],stretch:{bot:[10507,k],ext:[57653,n]}},10514:{dir:g,HW:[[0.818,k]],stretch:{top:[10514,k],ext:[9168,k]}},10515:{dir:g,HW:[[0.818,k]],stretch:{bot:[10515,k],ext:[9168,k]}},10578:{dir:l,HW:[[0.926,k]],stretch:{left:[10578,k],rep:[8722,k]}},10579:{dir:l,HW:[[0.926,k]],stretch:{right:[10579,k],rep:[8722,k]}},10580:{dir:g,HW:[[0.818,k]],stretch:{top:[10580,k],ext:[9168,k]}},10581:{dir:g,HW:[[0.818,k]],stretch:{bot:[10581,k],ext:[9168,k]}},10582:{dir:l,HW:[[0.926,k]],stretch:{left:[10582,k],rep:[8722,k]}},10583:{dir:l,HW:[[0.926,k]],stretch:{right:[10583,k],rep:[8722,k]}},10584:{dir:g,HW:[[0.818,k]],stretch:{top:[10584,k],ext:[9168,k]}},10585:{dir:g,HW:[[0.818,k]],stretch:{bot:[10585,k],ext:[9168,k]}},10624:{dir:g,HW:[[0.874,k]],stretch:{ext:[10624,k]}},10647:{dir:g,HW:[[0.932,k]],stretch:{top:[57613,n,0.1,0.05],ext:[9168,k,-0.1],bot:[57612,n,0.1]}},10648:{dir:g,HW:[[0.932,k]],stretch:{top:[57612,n,-0.1,0.05],ext:[9168,k],bot:[57613,n,-0.1]}}};for(var c in e){if(e.hasOwnProperty(c)){m[c]=e[c]}}MathJax.Ajax.loadComplete(h.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/STIX/fontdata.js b/jax/output/HTML-CSS/fonts/STIX/fontdata.js
index 7389b6ecb..5ac9a17e4 100644
--- a/jax/output/HTML-CSS/fonts/STIX/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/STIX/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(j,b,r){var s="2.3";j.allowWebFonts=false;var l="STIXGeneral",t="STIXGeneral-bold",p="STIXGeneral-italic",u="STIXGeneral-bold-italic",q="STIXNonUnicode",o="STIXNonUnicode-italic",i="STIXSizeOneSym",h="STIXSizeTwoSym",g="STIXSizeThreeSym",d="STIXSizeFourSym",c="STIXSizeFiveSym";var k="H",a="V",m={load:"extra",dir:k},f={load:"extra",dir:a};j.Augment({FONTDATA:{version:s,STIXversion:"1.1",TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{STIXGeneral:"General/Regular/Main.js","STIXGeneral-italic":"General/Italic/Main.js","STIXGeneral-bold":"General/Bold/Main.js","STIXGeneral-bold-italic":"General/BoldItalic/Main.js",STIXNonUnicode:"NonUnicode/Regular/Main.js","STIXNonUnicode-italic":"NonUnicode/Italic/Main.js","STIXNonUnicode-bold":"NonUnicode/Bold/Main.js","STIXNonUnicode-bold-italic":"NonUnicode/BoldItalic/Main.js",STIXVariants:"Variants/Regular/All.js",STIXSizeOneSym:"SizeOneSym/Regular/All.js",STIXSizeTwoSym:"SizeTwoSym/Regular/All.js",STIXSizeThreeSym:"SizeThreeSym/Regular/All.js",STIXSizeFourSym:"SizeFourSym/Regular/All.js",STIXSizeFiveSym:"SizeFiveSym/Regular/All.js",STIXIntegralsD:"IntegralsD/Regular/All.js"},VARIANT:{normal:{fonts:[l,q,i],remap:{8709:[8709,"-STIX-variant"]}},bold:{fonts:[t,"STIXNonUnicode-bold","STIXSizeOneSym-bold"],bold:true},italic:{fonts:[p,o,l,q,i],italic:true},"bold-italic":{fonts:[u,"STIXNonUnicode-bold-italic"],bold:true,italic:true},"double-struck":{offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[t],offsetA:120172,bold:true},script:{fonts:[p],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[u],offsetA:120016,bold:true,italic:true},"sans-serif":{offsetA:120224,offsetN:120802,offsetG:57725},"bold-sans-serif":{offsetA:120276,offsetG:120662,offsetN:120812,bold:true},"sans-serif-italic":{fonts:[p,o],offsetA:120328,offsetN:57780,offsetG:57791,italic:true},"sans-serif-bold-italic":{fonts:[u,"STIXNonUnicode-bold-italic"],offsetA:120380,offsetN:57846,offsetG:120720,bold:true,italic:true},monospace:{offsetA:120432,offsetN:120822,remap:{32:[32,"-STIX-variant"]}},"-STIX-variant":{fonts:["STIXVariants",q,l],remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368,9651:9653,9661:9663,8709:[8709,b.VARIANT.NORMAL]}},"-tex-caligraphic":{fonts:[p,o,q,i],offsetA:57901,noLowerCase:1},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989}},"-tex-mathit":{fonts:[p,o,l,q,i],italic:true,noIC:true},"-largeOp":{fonts:[i,"STIXIntegralsD",q,l]},"-smallOp":{},"-tex-caligraphic-bold":{fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],bold:true,offsetA:57927,noLowerCase:1},"-tex-oldstyle-bold":{fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],bold:true,offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:53,977:54,1008:55,981:56,1009:57,982:58,1012:17}}],RULECHAR:8254,REMAP:{755:730,756:714,65079:9182,65080:9183,12296:10216,12297:10217,10072:8739},REMAPACCENT:{"\u2192":"\u20D7"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:a,HW:[[0.844,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9115,i],ext:[9116,i],bot:[9117,i]}},41:{dir:a,HW:[[0.844,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9118,i],ext:[9119,i],bot:[9120,i]}},47:{dir:a,HW:[[0.69,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},91:{dir:a,HW:[[0.818,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i],bot:[9123,i]}},92:{dir:a,HW:[[0.69,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},93:{dir:a,HW:[[0.818,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9124,i],ext:[9125,i],bot:[9126,i]}},123:{dir:a,HW:[[0.861,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9127,i],mid:[9128,i],bot:[9129,i],ext:[9130,i]}},124:{dir:a,HW:[[0.69,l]],stretch:{ext:[8739,l]}},125:{dir:a,HW:[[0.861,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9131,i],mid:[9132,i],bot:[9133,i],ext:[9130,i]}},710:{dir:k,HW:[[0.333,l],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},711:{dir:k,HW:[[0.333,l],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},732:{dir:k,HW:[[0.333,l],[0.558,i],[0.978,h],[1.458,g],[1.886,d],[2.328,c]]},8214:{dir:a,HW:[[0.879,l]],stretch:{ext:[8214,l]}},8254:{dir:k,HW:[[0.5,l]],stretch:{rep:[8254,l]}},8592:{dir:k,HW:[[0.926,l]],stretch:{left:[8592,l],rep:[8722,l]}},8593:{dir:a,HW:[[0.818,l]],stretch:{top:[8593,l],ext:[9168,l]}},8594:{dir:k,HW:[[0.926,l]],stretch:{rep:[8722,l],right:[8594,l]}},8595:{dir:a,HW:[[0.818,l]],stretch:{ext:[9168,l],bot:[8595,l]}},8596:{dir:k,HW:[[0.926,l]],stretch:{left:[8592,l],rep:[8722,l],right:[8594,l]}},8597:{dir:a,HW:[[0.818,l]],stretch:{top:[8593,l],ext:[9168,l],bot:[8595,l]}},8656:{dir:k,HW:[[0.926,l]],stretch:{left:[8656,l],rep:[61,l]}},8657:{dir:a,HW:[[0.818,l]],stretch:{top:[8657,l],ext:[8741,l,0.1]}},8658:{dir:k,HW:[[0.926,l]],stretch:{rep:[61,l],right:[8658,l]}},8659:{dir:a,HW:[[0.818,l]],stretch:{ext:[8741,l,0.1],bot:[8659,l]}},8660:{dir:k,HW:[[0.926,l]],stretch:{left:[8656,l],rep:[61,l],right:[8658,l]}},8661:{dir:a,HW:[[0.818,l]],stretch:{top:[8657,l],ext:[8741,l,0.1],bot:[8659,l]}},8730:{dir:a,HW:[[0.954,"STIXVariants"],[1.232,l],[1.847,i],[2.46,h],[3.075,g]],stretch:{top:[57345,q],ext:[57344,q],bot:[9143,i],fullExtenders:true}},8739:{dir:a,HW:[[0.879,l]],stretch:{ext:[8739,l]}},8741:{dir:a,HW:[[0.879,l]],stretch:{ext:[8741,l]}},8968:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i]}},8969:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],streth:{top:[9124,i],ext:[9125,i]}},8970:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9122,i],bot:[9123,i]}},8971:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9125,i],bot:[9126,i]}},9130:{dir:a,HW:[[1.01,i]],stretch:{top:[9130,i],ext:[9130,i],bot:[9130,i]}},9135:{dir:k,HW:[[0.315,l]],stretch:{rep:[9135,l]}},9136:{dir:a,HW:[[1,i]],stretch:{top:[9127,i],ext:[9130,i],bot:[9133,i]}},9137:{dir:a,HW:[[1,i]],stretch:{top:[9131,i],ext:[9130,i],bot:[9129,i]}},9168:{dir:a,HW:[[0.304,l],[0.69,l,null,124],[0.879,l,null,8739]],stretch:{ext:[8739,l]}},9182:{dir:k,HW:[[0.926,i],[1,l],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57659,q],mid:[57664,q],right:[57660,q],rep:[57674,q]}},9183:{dir:k,HW:[[0.926,i],[1,l],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57661,q],mid:[57665,q],right:[57662,q],rep:[57675,q]}},10216:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10217:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10222:{dir:a,HW:[[0.853,l]],stretch:{top:[9127,i],ext:[9130,i],bot:[9129,i]}},10223:{dir:a,HW:[[0.853,l]],stretch:{top:[9131,i],ext:[9130,i],bot:[9133,i]}},45:{alias:9135,dir:k},94:{alias:710,dir:k},95:{alias:9135,dir:k},126:{alias:732,dir:k},175:{alias:9135,dir:k},713:{alias:9135,dir:k},770:{alias:710,dir:k},771:{alias:732,dir:k},780:{alias:711,dir:k},818:{alias:9135,dir:k},8213:{alias:9135,dir:k},8215:{alias:9135,dir:k},8722:{alias:9135,dir:k},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9472:{alias:8722,dir:k},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:k},65080:{alias:9183,dir:k},61:m,8606:m,8608:m,8612:m,8613:f,8614:m,8615:f,8624:f,8625:f,8636:m,8637:m,8638:f,8639:f,8640:m,8641:m,8642:f,8643:f,8666:m,8667:m,9140:m,9141:m,9180:m,9181:m,9184:m,9185:m,10502:m,10503:m,10574:m,10575:f,10576:m,10577:f,10586:m,10587:m,10588:f,10589:f,10590:m,10591:m,10592:f,10593:f,10229:{alias:8592,dir:k},10230:{alias:8594,dir:k},10231:{alias:8596,dir:k},10232:{alias:8656,dir:k},10233:{alias:8658,dir:k},10234:{alias:8660,dir:k},10235:{alias:8612,dir:k},10236:{alias:8614,dir:k},10237:{alias:10502,dir:k},10238:{alias:10503,dir:k},711:m,717:m,759:m,8607:f,8609:f,8616:f,8617:m,8618:m,8626:f,8627:f,8628:m,8629:f,8651:m,8652:m,8672:m,8673:f,8674:m,8675:f,8676:m,8677:m,8701:m,8702:m,8703:m,10214:f,10215:f,10218:f,10219:f,10506:f,10507:f,10514:f,10515:f,10578:m,10579:m,10580:f,10581:f,10582:m,10583:m,10584:f,10585:f,10624:f,10647:f,10648:f}}});j.FONTDATA.FONTS.STIXGeneral={directory:"General/Regular",family:"STIXGeneral",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9600,9631,"BlockElements"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[9984,10175,"Dingbats"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10496,10623,"SupplementalArrowsB"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[11008,11263,"MiscSymbolsAndArrows"],[12288,12351,"CJK"],[12352,12447,"Hiragana"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[65520,65535,"Specials"],[119808,119859,"MathBold"],[119860,119911,"MathItalic"],[119912,119963,"MathBoldItalic"],[119964,120015,"MathScript"],[120016,120067,"MathBoldScript"],[120068,120119,"Fraktur"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120224,120275,"MathSS"],[120276,120327,"MathSSBold"],[120328,120379,"MathSSItalic"],[120380,120431,"MathSSItalicBold"],[120432,120483,"MathTT"],[120484,120485,"ij"],[120488,120545,"GreekBold"],[120546,120603,"GreekItalic"],[120604,120661,"GreekBoldItalic"],[120662,120719,"GreekSSBold"],[120720,120777,"GreekSSBoldItalic"],[120782,120791,"MathBold"],[120792,120801,"BBBold"],[120802,120811,"MathSS"],[120812,120822,"MathSSBold"],[120822,120831,"MathTT"]],32:[0,0,250,0,0],33:[676,9,333,130,236],34:[676,-431,408,77,331],35:[662,0,500,6,495],36:[727,87,500,44,458],37:[706,19,747,61,686],38:[676,13,778,42,750],39:[676,-431,180,48,133],40:[676,177,333,48,304],41:[676,177,333,29,285],42:[676,-265,500,68,433],43:[547,41,685,48,636],44:[102,141,250,55,195],45:[257,-194,333,39,285],46:[100,11,250,70,181],47:[676,14,278,-9,287],48:[676,14,500,24,476],49:[676,0,500,111,394],50:[676,0,500,29,474],51:[676,14,500,41,431],52:[676,0,500,12,473],53:[688,14,500,31,438],54:[684,14,500,34,468],55:[662,8,500,20,449],56:[676,14,500,56,445],57:[676,22,500,30,459],58:[459,11,278,81,192],59:[459,141,278,80,219],60:[534,24,685,56,621],61:[386,-120,685,48,637],62:[534,24,685,56,621],63:[676,8,444,68,414],64:[676,14,921,116,809],65:[674,0,722,15,707],66:[662,0,667,17,593],67:[676,14,667,28,633],68:[662,0,722,16,685],69:[662,0,611,12,597],70:[662,0,556,11,546],71:[676,14,722,32,709],72:[662,0,722,18,703],73:[662,0,333,18,315],74:[662,14,373,-6,354],75:[662,0,722,33,723],76:[662,0,611,12,598],77:[662,0,889,12,864],78:[662,11,722,12,707],79:[676,14,722,34,688],80:[662,0,557,16,542],81:[676,177,722,34,701],82:[662,0,667,17,660],83:[676,14,556,43,491],84:[662,0,611,17,593],85:[662,14,722,14,705],86:[662,11,722,16,697],87:[662,11,944,5,932],88:[662,0,722,10,704],89:[662,0,722,22,703],90:[662,0,612,10,598],91:[662,156,333,88,299],92:[676,14,278,-9,287],93:[662,156,333,34,245],94:[662,-297,469,24,446],95:[-75,125,500,0,500],96:[678,-507,333,18,242],97:[460,10,444,37,442],98:[683,10,500,3,468],99:[460,10,444,25,412],100:[683,10,500,27,491],101:[460,10,444,25,424],102:[683,0,333,20,383],103:[460,218,500,28,470],104:[683,0,500,9,487],105:[683,0,278,16,253],106:[683,218,278,-70,194],107:[683,0,500,7,505],108:[683,0,278,19,257],109:[460,0,778,16,775],110:[460,0,500,16,485],111:[460,10,500,29,470],112:[460,217,500,5,470],113:[460,217,500,24,488],114:[460,0,333,5,335],115:[459,10,389,51,348],116:[579,10,278,13,279],117:[450,10,500,9,480],118:[450,14,500,19,477],119:[450,14,722,21,694],120:[450,0,500,17,479],121:[450,218,500,14,475],122:[450,0,444,27,418],123:[680,181,480,100,350],124:[676,14,200,67,133],125:[680,181,480,130,380],126:[325,-183,541,40,502],160:[0,0,250,0,0],168:[622,-523,333,18,316],172:[393,-115,600,48,552],175:[601,-547,333,11,322],177:[502,87,685,48,637],183:[310,-199,250,70,181],215:[529,25,640,43,597],247:[516,10,564,30,534],305:[460,0,278,16,253],567:[460,218,278,-70,193],710:[674,-507,333,11,322],711:[674,-507,333,11,322],713:[601,-547,334,11,322],714:[679,-509,333,93,320],715:[679,-509,333,22,249],728:[664,-507,335,27,308],729:[622,-523,333,118,217],732:[638,-532,333,1,331],768:[678,-507,0,-371,-147],769:[678,-507,0,-371,-147],770:[674,-507,0,-386,-75],771:[638,-532,0,-395,-65],772:[601,-547,0,-385,-74],774:[664,-507,0,-373,-92],775:[622,-523,0,-280,-181],776:[622,-523,0,-379,-81],778:[711,-512,0,-329,-130],779:[678,-507,0,-401,-22],780:[674,-507,0,-385,-74],824:[662,156,0,-380,31],915:[662,0,587,11,577],916:[674,0,722,48,675],920:[676,14,722,34,688],923:[674,0,702,15,687],926:[662,0,643,29,614],928:[662,0,722,18,703],931:[662,0,624,30,600],933:[674,0,722,29,703],934:[662,0,763,35,728],936:[690,0,746,22,724],937:[676,0,744,29,715],8224:[676,149,500,59,442],8225:[676,153,500,58,442],8230:[100,11,1000,111,888],8242:[678,-402,289,75,214],8254:[820,-770,500,0,500],8407:[760,-548,0,-453,-17],8465:[695,34,762,45,711],8472:[547,217,826,52,799],8476:[704,22,874,50,829],8501:[677,13,682,43,634],8592:[449,-58,926,71,857],8593:[662,156,511,60,451],8594:[448,-57,926,70,856],8595:[662,156,511,60,451],8596:[449,-57,926,38,888],8597:[730,224,511,60,451],8598:[662,156,926,70,856],8599:[662,156,926,70,856],8600:[662,156,926,70,856],8601:[662,156,926,70,856],8614:[450,-57,926,70,857],8617:[553,-57,926,70,856],8618:[553,-57,926,70,856],8636:[494,-220,955,54,901],8637:[286,-12,955,54,901],8640:[494,-220,955,54,901],8641:[286,-12,955,54,901],8652:[539,33,926,70,856],8656:[551,45,926,60,866],8657:[662,156,685,45,641],8658:[551,45,926,60,866],8659:[662,156,685,45,641],8660:[517,10,926,20,906],8661:[730,224,685,45,641],8704:[662,0,560,2,558],8706:[668,11,471,40,471],8707:[662,0,560,73,487],8709:[583,79,762,50,712],8711:[662,12,731,63,667],8712:[531,27,685,60,625],8713:[662,157,685,60,625],8715:[531,27,685,60,625],8719:[763,259,1000,52,948],8720:[763,259,1000,52,948],8721:[763,259,914,58,856],8722:[286,-220,685,64,621],8723:[502,87,685,48,637],8725:[710,222,523,46,478],8726:[411,-93,428,25,403],8727:[471,-33,523,67,457],8728:[387,-117,350,40,310],8729:[387,-117,350,40,310],8730:[973,259,928,112,963],8733:[430,0,685,41,643],8734:[430,0,926,70,854],8736:[547,0,685,23,643],8739:[690,189,266,100,166],8741:[690,189,523,129,394],8743:[536,29,620,31,589],8744:[536,29,620,31,589],8745:[536,31,620,48,572],8746:[536,31,620,48,572],8747:[824,320,459,32,639],8764:[362,-148,685,48,637],8768:[547,42,286,35,249],8771:[445,-55,685,48,637],8773:[532,27,685,48,637],8776:[475,-25,685,48,637],8781:[498,-8,685,48,637],8784:[611,-120,685,48,637],8800:[662,156,685,48,637],8801:[478,-28,685,48,637],8804:[609,103,685,64,629],8805:[609,103,685,64,629],8810:[532,26,933,25,908],8811:[532,26,933,25,908],8826:[532,26,685,64,621],8827:[532,26,685,64,621],8828:[628,120,685,64,621],8829:[629,119,685,64,621],8834:[531,25,685,64,621],8835:[531,25,685,64,621],8838:[607,103,685,64,621],8839:[607,103,685,64,621],8846:[536,31,620,48,572],8849:[607,103,685,64,621],8850:[607,103,685,64,621],8851:[536,31,620,48,572],8852:[536,31,620,48,572],8853:[623,119,842,50,792],8854:[623,119,842,50,792],8855:[623,119,842,50,792],8856:[623,119,842,50,792],8857:[583,79,762,50,712],8866:[662,0,685,64,621],8867:[662,0,685,64,621],8868:[662,0,685,48,637],8869:[662,0,685,48,637],8872:[662,0,685,64,621],8896:[763,259,924,54,870],8897:[763,259,924,54,870],8898:[778,254,924,94,830],8899:[768,264,924,94,830],8900:[488,-16,523,26,497],8901:[313,-193,286,83,203],8902:[597,13,700,35,665],8904:[582,80,810,54,756],8942:[606,104,511,192,319],8943:[316,-189,926,108,818],8945:[520,18,926,194,732],8968:[713,213,469,188,447],8969:[713,213,469,27,286],8970:[713,213,469,188,447],8971:[713,213,469,27,286],8994:[360,-147,1019,54,965],8995:[360,-147,1019,54,965],9135:[286,-220,315,0,315],9168:[405,-101,511,222,288],9651:[811,127,1145,35,1110],9657:[555,50,660,80,605],9661:[811,127,1145,35,1110],9667:[554,51,660,55,580],9711:[785,282,1207,70,1137],9824:[609,99,685,34,651],9825:[603,105,685,34,651],9826:[609,105,685,41,643],9827:[603,99,685,34,651],9837:[768,10,426,57,346],9838:[768,181,426,75,350],9839:[768,181,426,41,386],10216:[713,213,400,77,335],10217:[713,213,400,65,323],10222:[676,177,233,56,211],10223:[676,177,233,22,177],10229:[449,-58,1574,55,1519],10230:[449,-57,1574,55,1519],10231:[449,-57,1574,55,1519],10232:[551,45,1574,55,1519],10233:[551,45,1574,55,1519],10234:[517,10,1574,55,1519],10235:[450,-57,1574,55,1519],10236:[450,-57,1574,55,1519],10741:[710,222,523,46,478],10752:[763,259,1126,53,1073],10753:[763,259,1126,53,1073],10754:[763,259,1126,53,1073],10755:[768,264,924,94,830],10756:[768,264,924,94,830],10757:[763,259,924,94,830],10758:[763,259,924,94,830],10815:[662,0,694,30,664],10927:[609,103,685,64,621],10928:[609,103,685,64,621]};j.FONTDATA.FONTS["STIXGeneral-bold"]={directory:"General/Bold",family:"STIXGeneral",weight:"bold",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[119808,119859,"MathBold"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120276,120327,"MathSSBold"],[120488,120545,"GreekBold"],[120662,120719,"GreekSSBold"],[120782,120791,"MathBold"],[120812,120822,"MathSSBold"]],32:[0,0,250,0,0],33:[691,13,333,81,251],34:[691,-404,555,83,472],35:[700,0,500,5,495],36:[750,99,500,29,472],37:[706,29,749,61,688],38:[691,16,833,62,789],39:[691,-404,278,75,204],40:[694,168,333,46,306],41:[694,168,333,27,287],42:[691,-255,500,56,448],43:[563,57,750,65,685],44:[155,180,250,39,223],45:[287,-171,333,44,287],46:[156,13,250,41,210],47:[691,19,278,-24,302],48:[688,13,500,24,476],49:[688,0,500,65,441],50:[688,0,500,17,478],51:[688,14,500,16,468],52:[688,0,500,19,476],53:[676,8,500,22,470],54:[688,13,500,28,475],55:[676,0,500,17,477],56:[688,13,500,28,472],57:[688,13,500,26,473],58:[472,13,333,82,251],59:[472,180,333,82,266],60:[534,24,750,80,670],61:[399,-107,750,68,682],62:[534,24,750,80,670],63:[689,13,500,57,445],64:[691,19,930,108,822],65:[690,0,722,9,689],66:[676,0,667,16,619],67:[691,19,722,49,687],68:[676,0,722,14,690],69:[676,0,667,16,641],70:[676,0,611,16,583],71:[691,19,778,37,755],72:[676,0,778,21,759],73:[676,0,389,20,370],74:[676,96,500,3,478],75:[676,0,778,30,769],76:[677,0,667,19,638],77:[676,0,944,14,921],78:[676,18,722,16,701],79:[691,19,778,35,743],80:[676,0,611,16,600],81:[691,176,778,35,743],82:[676,0,722,26,716],83:[692,19,556,35,513],84:[676,0,667,31,636],85:[676,19,722,16,701],86:[676,18,722,16,701],87:[676,15,1000,19,981],88:[676,0,722,16,699],89:[676,0,722,15,699],90:[676,0,667,28,634],91:[678,149,333,67,301],92:[691,19,278,-25,303],93:[678,149,333,32,266],94:[676,-311,581,73,509],95:[-75,125,500,0,500],96:[713,-528,333,8,246],97:[473,14,500,25,488],98:[676,14,556,17,521],99:[473,14,444,25,430],100:[676,14,556,25,534],101:[473,14,444,25,427],102:[691,0,333,14,389],103:[473,206,500,28,483],104:[676,0,556,15,534],105:[691,0,278,15,256],106:[691,203,333,-57,263],107:[676,0,556,22,543],108:[676,0,278,15,256],109:[473,0,833,15,814],110:[473,0,556,21,539],111:[473,14,500,25,476],112:[473,205,556,19,524],113:[473,205,556,34,536],114:[473,0,444,28,434],115:[473,14,389,25,361],116:[630,12,333,19,332],117:[461,14,556,16,538],118:[461,14,500,21,485],119:[461,14,722,23,707],120:[461,0,500,12,484],121:[461,205,500,16,482],122:[461,0,444,21,420],123:[698,175,394,22,340],124:[691,19,220,66,154],125:[698,175,394,54,372],126:[333,-173,520,29,491],915:[676,0,620,16,593],916:[690,0,722,33,673],920:[692,18,778,35,743],923:[690,0,707,9,674],926:[676,0,647,40,607],928:[676,0,778,21,759],931:[676,0,671,28,641],933:[692,0,703,7,693],934:[676,0,836,18,818],936:[692,0,808,15,797],937:[692,0,768,28,740]};j.FONTDATA.FONTS["STIXGeneral-italic"]={directory:"General/Italic",family:"STIXGeneral",style:"italic",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8704,8959,"MathOperators"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[64256,64335,"AlphaPresentForms"],[119860,119911,"MathItalic"],[119964,120015,"MathScript"],[120328,120379,"MathSSItalic"],[120484,120485,"ij"],[120546,120603,"GreekItalic"]],32:[0,0,250,0,0],33:[667,11,333,39,304],34:[666,-421,420,144,432],35:[676,0,501,2,540],36:[731,89,500,32,497],37:[706,19,755,80,705],38:[666,18,778,76,723],39:[666,-421,214,132,241],40:[669,181,333,42,315],41:[669,180,333,16,289],42:[666,-255,500,128,492],43:[506,0,675,86,590],44:[101,129,250,-5,135],45:[255,-192,333,49,282],46:[100,11,250,27,138],47:[666,18,278,-65,386],48:[676,7,500,32,497],49:[676,0,500,50,409],50:[676,0,500,12,452],51:[676,7,500,16,465],52:[676,0,500,1,479],53:[666,7,500,15,491],54:[686,7,500,30,521],55:[666,8,500,75,537],56:[676,7,500,30,493],57:[676,17,500,23,492],58:[441,11,333,50,261],59:[441,129,333,26,261],60:[516,10,675,84,592],61:[386,-120,675,86,590],62:[516,10,675,84,592],63:[664,12,500,132,472],64:[666,18,920,118,806],65:[668,0,611,-51,564],66:[653,0,611,-8,588],67:[666,18,667,66,689],68:[653,0,722,-8,700],69:[653,0,611,-1,634],70:[653,0,611,8,645],71:[666,18,722,52,722],72:[653,0,722,-8,769],73:[653,0,333,-8,384],74:[653,18,444,-6,491],75:[653,0,667,7,722],76:[653,0,556,-8,559],77:[653,0,833,-18,872],78:[653,15,667,-20,727],79:[667,18,722,60,699],80:[653,0,611,0,605],81:[666,182,722,59,699],82:[653,0,611,-13,588],83:[667,18,500,17,508],84:[653,0,556,59,633],85:[653,18,722,102,765],86:[653,18,611,76,688],87:[653,18,833,71,906],88:[653,0,611,-29,655],89:[653,0,556,78,633],90:[653,0,556,-6,606],91:[663,153,389,21,391],92:[666,18,278,-41,319],93:[663,153,389,12,382],94:[666,-301,422,0,422],95:[-75,125,500,0,500],96:[664,-492,333,120,311],97:[441,11,501,17,476],98:[683,11,500,23,473],99:[441,11,444,30,425],100:[683,13,500,15,527],101:[441,11,444,31,412],102:[678,207,278,-147,424],103:[441,206,500,8,471],104:[683,9,500,19,478],105:[654,11,278,49,264],106:[652,207,278,-124,279],107:[683,11,444,14,461],108:[683,11,278,41,279],109:[441,9,722,12,704],110:[441,9,500,14,474],111:[441,11,500,27,468],112:[441,205,504,-75,472],113:[441,209,500,25,484],114:[441,0,389,45,412],115:[442,13,389,16,366],116:[546,11,278,38,296],117:[441,11,500,42,475],118:[441,18,444,20,426],119:[441,18,667,15,648],120:[441,11,444,-27,447],121:[441,206,444,-24,426],122:[428,81,389,-2,380],123:[687,177,400,51,407],124:[666,18,275,105,171],125:[687,177,400,-7,349],126:[323,-183,541,40,502],305:[441,11,278,47,235],567:[441,207,278,-124,246],915:[653,0,611,8,645],916:[668,0,611,-32,526],920:[667,18,722,60,699],923:[668,0,611,-51,564],926:[653,0,651,-6,680],928:[653,0,722,-8,769],931:[653,0,620,-6,659],933:[668,0,556,78,648],934:[653,0,741,50,731],936:[667,0,675,77,778],937:[666,0,762,-6,739],945:[441,11,552,27,549],946:[678,205,506,-40,514],947:[435,206,410,19,438],948:[668,11,460,24,460],949:[441,11,444,30,425],950:[683,185,454,30,475],951:[441,205,474,14,442],952:[678,11,480,27,494],953:[441,11,278,49,235],954:[441,13,444,14,465],955:[678,16,458,-12,431],956:[428,205,526,-33,483],957:[441,18,470,20,459],958:[683,185,454,30,446],959:[441,11,500,27,468],960:[428,18,504,19,536],961:[441,205,504,-40,471],962:[441,185,454,30,453],963:[428,11,498,27,531],964:[428,11,410,12,426],965:[441,10,478,19,446],966:[441,205,622,27,590],967:[441,207,457,-108,498],968:[441,205,584,15,668],969:[439,11,686,27,654],977:[678,10,556,19,526],981:[683,205,627,27,595],982:[428,11,792,17,832],1009:[441,205,516,27,484],1013:[441,11,444,30,420],8467:[687,11,579,48,571]};j.FONTDATA.FONTS.STIXIntegralsD={directory:"IntegralsD/Regular",family:"STIXIntegralsD",Ranges:[[32,32,"All"],[160,160,"All"],[8747,8755,"All"],[10763,10780,"All"]],8747:[2000,269,585,56,1035],8750:[2000,269,635,56,1035]};j.FONTDATA.FONTS.STIXNonUnicode={directory:"NonUnicode/Regular",family:"STIXNonUnicode",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57344:[610,25,1184,829,895],57345:[667,-41,1184,829,1211],57656:[634,-584,480,-10,490],57657:[-127,177,480,-10,490],57659:[955,-512,897,-25,908],57660:[955,-512,897,-11,922],57661:[182,261,897,-25,908],57662:[182,261,897,-11,922],57664:[1218,-820,1844,-10,1854],57665:[-126,524,1844,-10,1854],57674:[955,-820,633,-1,634],57675:[-126,261,633,-1,634],57953:[422,10,523,41,481],57957:[421,0,523,127,405],57961:[421,0,523,68,455],57965:[424,198,523,47,463],57969:[420,198,523,58,480],57973:[421,198,523,66,457],57977:[612,8,523,37,486],57981:[421,198,523,25,490],57985:[606,12,523,47,477],57989:[421,200,523,41,483],57999:[135,0,325,-1,326],58000:[135,0,633,-1,634]};j.FONTDATA.FONTS["STIXNonUnicode-bold"]={directory:"NonUnicode/Bold",family:"STIXNonUnicode",weight:"bold",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]]};j.FONTDATA.FONTS["STIXNonUnicode-italic"]={directory:"NonUnicode/Italic",family:"STIXNonUnicode",style:"italic",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57901:[677,45,852,43,812],57902:[670,3,724,35,709],57903:[671,11,569,43,586],57904:[662,0,801,34,788],57905:[670,4,553,40,599],57906:[662,0,652,43,710],57907:[671,131,580,40,580],57908:[664,21,831,41,845],57909:[662,0,575,38,591],57910:[662,120,632,31,785],57911:[670,13,809,30,783],57912:[670,7,693,30,653],57913:[671,45,1166,40,1128],57914:[795,37,957,40,1064],57915:[669,10,737,38,729],57916:[662,0,667,38,709],57917:[671,131,744,43,704],57918:[662,3,854,38,816],57919:[671,0,634,38,671],57920:[721,0,509,41,730],57921:[672,13,817,37,950],57922:[677,33,638,33,680],57923:[685,32,956,33,998],57924:[672,13,692,38,739],57925:[675,131,719,34,763],57926:[664,94,752,38,714]};j.FONTDATA.FONTS.STIXSizeOneSym={directory:"SizeOneSym/Regular",family:"STIXSizeOneSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8512,8512,"All"],[8730,8732,"All"],[8992,8993,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[10744,10745,"All"],[10752,10762,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1066,164,468,139,382],41:[1066,164,468,86,329],47:[1066,164,579,25,552],91:[1066,164,383,180,363],92:[1066,164,579,27,552],93:[1066,164,383,20,203],95:[-127,177,1000,0,1000],123:[1066,164,575,114,466],125:[1066,164,575,109,461],160:[0,0,250,0,0],770:[767,-554,0,-720,-160],771:[750,-598,0,-722,-162],8719:[1500,-49,1355,50,1305],8720:[1500,-49,1355,50,1305],8721:[1499,-49,1292,90,1202],8730:[1552,295,1057,112,1089],8896:[1500,-49,1265,60,1205],8897:[1500,-49,1265,60,1205],8898:[1510,-49,1265,118,1147],8899:[1500,-39,1265,118,1147],8968:[1066,164,453,180,426],8969:[1066,164,453,25,273],8970:[1066,164,453,180,428],8971:[1066,164,453,27,273],9115:[700,305,450,50,400],9116:[705,305,450,50,174],9117:[705,300,450,50,400],9118:[700,305,450,50,400],9119:[705,305,450,276,400],9120:[705,300,450,50,400],9121:[682,323,450,50,415],9122:[687,323,450,50,150],9123:[687,318,450,50,415],9124:[682,323,450,35,400],9125:[687,323,450,300,400],9126:[687,318,450,35,400],9127:[700,305,640,260,600],9128:[705,305,640,40,380],9129:[705,300,640,260,600],9130:[705,305,640,260,380],9131:[700,305,640,40,380],9132:[705,305,640,260,600],9133:[705,300,640,40,380],9134:[610,25,688,294,394],9136:[700,301,600,35,566],9137:[700,301,600,35,566],9143:[1510,345,1184,112,895],9144:[1566,289,721,0,66],9145:[1566,289,721,655,721],9182:[136,89,926,0,925],9183:[789,-564,926,0,925],10216:[1066,164,578,116,462],10217:[1066,164,578,116,462],10752:[1500,-49,1555,52,1503],10753:[1500,-49,1555,52,1503],10754:[1500,-49,1555,52,1503],10756:[1500,-39,1265,118,1147],10757:[1500,-49,1153,82,1071],10758:[1500,-49,1153,82,1071]};j.FONTDATA.FONTS.STIXSizeTwoSym={directory:"SizeTwoSym/Regular",family:"STIXSizeTwoSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1566,279,589,139,503],41:[1566,279,608,114,478],47:[1566,279,806,25,781],91:[1566,279,459,190,422],92:[1566,279,806,25,781],93:[1566,279,459,37,269],95:[-127,177,1500,0,1500],123:[1566,279,717,124,531],125:[1566,279,717,186,593],160:[0,0,250,0,0],770:[777,-564,0,-1150,-171],771:[760,-608,0,-1152,-173],8730:[2056,404,1124,110,1157],8968:[1566,279,524,190,479],8969:[1566,279,526,47,336],8970:[1566,279,524,190,479],8971:[1566,279,526,47,336],9182:[143,81,1460,0,1460],9183:[797,-573,1460,0,1460],10216:[1566,279,622,95,531],10217:[1566,279,622,91,527]};j.FONTDATA.FONTS.STIXSizeThreeSym={directory:"SizeThreeSym/Regular",family:"STIXSizeThreeSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2066,394,750,182,667],41:[2066,394,750,83,568],47:[2066,394,1101,30,1071],91:[2066,394,508,225,491],92:[2066,394,1101,30,1071],93:[2066,394,508,17,283],95:[-127,177,2000,0,2000],123:[2066,394,906,143,717],125:[2066,394,906,189,763],160:[0,0,250,0,0],770:[777,-564,0,-1610,-150],771:[774,-608,0,-1612,-152],8730:[2565,510,1076,112,1110],8968:[2066,394,565,225,550],8969:[2066,394,565,15,340],8970:[2066,394,565,225,550],8971:[2066,394,565,15,340],9182:[157,86,1886,0,1886],9183:[815,-572,1886,0,1886],10216:[2066,394,765,96,670],10217:[2066,394,765,95,669]};j.FONTDATA.FONTS.STIXSizeFourSym={directory:"SizeFourSym/Regular",family:"STIXSizeFourSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2566,509,808,124,732],41:[2566,509,808,76,684],47:[2566,509,1309,16,1293],91:[2566,509,661,295,634],92:[2566,509,1309,16,1293],93:[2566,509,661,27,366],95:[-127,177,2500,0,2500],123:[2566,509,1076,173,882],125:[2566,509,1076,194,903],160:[0,0,250,0,0],770:[796,-573,0,-2040,-154],771:[771,-608,0,-2040,-154],8730:[1510,345,1184,112,895],8968:[2566,509,682,295,655],8969:[2566,509,682,27,387],8970:[2566,509,682,295,655],8971:[2566,509,682,27,387],9182:[175,90,2328,0,2328],9183:[837,-572,2328,0,2328],10216:[2566,509,908,113,796],10217:[2566,509,908,112,795]};j.FONTDATA.FONTS.STIXSizeFiveSym={directory:"SizeFiveSym/Regular",family:"STIXSizeFiveSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[9115,9145,"All"],[9180,9185,"All"]],32:[0,0,250,0,0],95:[-127,177,3000,0,3000],160:[0,0,250,0,0],770:[816,-572,0,-2485,-157],771:[780,-617,0,-2485,-157],9182:[181,90,3238,0,3238],9183:[844,-573,3238,0,3238]};j.FONTDATA.FONTS.STIXVariants={directory:"Variants/Regular",family:"STIXVariants",Ranges:[[32,32,"All"],[119,124,"All"],[160,160,"All"],[411,411,"All"],[612,612,"All"],[8242,8279,"All"],[8512,8512,"All"],[8592,8595,"All"],[8657,8674,"All"],[8709,8941,"All"],[8994,8995,"All"],[9251,9251,"All"],[9641,9641,"All"],[10812,10990,"All"]],8242:[565,-28,340,44,295],8463:[683,10,579,47,547],8709:[729,74,523,28,502],8726:[710,222,523,46,478],8730:[943,11,737,67,767]};j.FONTDATA.FONTS.STIXGeneral[8942][0]+=400;j.FONTDATA.FONTS.STIXGeneral[8945][0]+=500;j.FONTDATA.FONTS.STIXGeneral[8722][1]+=100;j.FONTDATA.FONTS.STIXGeneral[61][1]+=100;j.FONTDATA.FONTS.STIXNonUnicode[57674][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57674][1]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][1]+=200;MathJax.Hub.Register.LoadHook(j.fontDir+"/Variants/Regular/All.js",function(){j.FONTDATA.FONTS.STIXVariants[32][2]+=275;j.FONTDATA.FONTS.STIXVariants[32][5]={rfix:275}});MathJax.Hub.Browser.Select({MSIE:function(v){if(!v.versionAtLeast("8.0")||document.documentMode<8){var w=j.FONTDATA;w.REMAP[713]=175;w.REMAP[714]=180;w.REMAP[715]=96;w.REMAP[730]=176;w.RANGES[5]=w.RANGES[4];w.RANGES[4]=w.RANGES[3];w.RANGES[3]={name:"greek",low:945,high:1014,offset:"GG",remap:{1013:26,977:27,1008:28,981:29,1009:30,982:31}};w.VARIANT.bold.offsetGG=120514;w.VARIANT.bold.offsetG=120488;w.VARIANT.italic.offsetGG=120572;w.VARIANT.italic.offsetG=120546;w.VARIANT["bold-italic"].offsetGG=120630;w.VARIANT["bold-italic"].offsetG=120604}},Safari:function(v){v.STIXfontBug=v.versionAtLeast("5.1")&&v.isMac},Chrome:function(w){if(w.isMac){var v=navigator.appVersion.match(/AppleWebKit\/(\d+)/);if(v&&parseInt(v[1])>534){w.STIXfontBug=true}}}});if(MathJax.Hub.Browser.STIXfontBug){j.FONTDATA.FONTS.STIXGeneral.family="STIXGeneral-Regular";j.FONTDATA.FONTS["STIXGeneral-italic"].family="STIXGeneral-Italic";delete j.FONTDATA.FONTS["STIXGeneral-italic"].style;j.FONTDATA.FONTS.STIXNonUnicode.family="STIXNonUnicode-Regular";j.FONTDATA.FONTS["STIXNonUnicode-italic"].family="STIXNonUnicode-Italic";delete j.FONTDATA.FONTS["STIXNonUnicode-italic"].style}var e=[];var n=j.Font.div;r.addElement(n,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE38C\uE38C\uE38C\uE38C\uE38C"]);r.addElement(n,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE39A\uE39A\uE39A\uE39A\uE39A"]);if(n.lastChild.previousSibling.offsetWidth<n.lastChild.offsetWidth){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-1.0.js"])}n.removeChild(n.lastChild);n.removeChild(n.lastChild);if(!j.Font.testFont({family:"STIXSizeOneSym",testString:"\u02C6"})){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-beta.js"])}e.push(["loadComplete",MathJax.Ajax,j.fontDir+"/fontdata.js"]);MathJax.Callback.Queue.apply(MathJax.Callback,e)})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.HTML);
+(function(j,b,r){var s="2.4-beta";j.allowWebFonts=false;var l="STIXGeneral",t="STIXGeneral-bold",p="STIXGeneral-italic",u="STIXGeneral-bold-italic",q="STIXNonUnicode",o="STIXNonUnicode-italic",i="STIXSizeOneSym",h="STIXSizeTwoSym",g="STIXSizeThreeSym",d="STIXSizeFourSym",c="STIXSizeFiveSym";var k="H",a="V",m={load:"extra",dir:k},f={load:"extra",dir:a};j.Augment({FONTDATA:{version:s,STIXversion:"1.1",TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{STIXGeneral:"General/Regular/Main.js","STIXGeneral-italic":"General/Italic/Main.js","STIXGeneral-bold":"General/Bold/Main.js","STIXGeneral-bold-italic":"General/BoldItalic/Main.js",STIXNonUnicode:"NonUnicode/Regular/Main.js","STIXNonUnicode-italic":"NonUnicode/Italic/Main.js","STIXNonUnicode-bold":"NonUnicode/Bold/Main.js","STIXNonUnicode-bold-italic":"NonUnicode/BoldItalic/Main.js",STIXVariants:"Variants/Regular/All.js",STIXSizeOneSym:"SizeOneSym/Regular/All.js",STIXSizeTwoSym:"SizeTwoSym/Regular/All.js",STIXSizeThreeSym:"SizeThreeSym/Regular/All.js",STIXSizeFourSym:"SizeFourSym/Regular/All.js",STIXSizeFiveSym:"SizeFiveSym/Regular/All.js",STIXIntegralsD:"IntegralsD/Regular/All.js"},VARIANT:{normal:{fonts:[l,q,i],remap:{8709:[8709,"-STIX-variant"]}},bold:{fonts:[t,"STIXNonUnicode-bold","STIXSizeOneSym-bold"],bold:true},italic:{fonts:[p,o,l,q,i],italic:true},"bold-italic":{fonts:[u,"STIXNonUnicode-bold-italic"],bold:true,italic:true},"double-struck":{offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[t],offsetA:120172,bold:true},script:{fonts:[p],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[u],offsetA:120016,bold:true,italic:true},"sans-serif":{offsetA:120224,offsetN:120802,offsetG:57725,offsetE:57725},"bold-sans-serif":{offsetA:120276,offsetG:120662,offsetN:120812,bold:true},"sans-serif-italic":{fonts:[p,o],offsetA:120328,offsetN:57780,offsetG:57791,offsetE:57791,italic:true},"sans-serif-bold-italic":{fonts:[u,"STIXNonUnicode-bold-italic"],offsetA:120380,offsetN:57846,offsetG:120720,bold:true,italic:true},monospace:{offsetA:120432,offsetN:120822,remap:{32:[32,"-STIX-variant"]}},"-STIX-variant":{fonts:["STIXVariants",q,l],remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368,9651:9653,9661:9663,8709:[8709,b.VARIANT.NORMAL]}},"-tex-caligraphic":{fonts:[p,o,q,i],offsetA:57901,noLowerCase:1},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989}},"-tex-mathit":{fonts:[p,o,l,q,i],italic:true,noIC:true},"-largeOp":{fonts:[i,"STIXIntegralsD",q,l]},"-smallOp":{},"-tex-caligraphic-bold":{fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],bold:true,offsetA:57927,noLowerCase:1},"-tex-oldstyle-bold":{fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],bold:true,offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek-non-unicode",low:945,high:969,offset:"E",add:25},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:53,977:54,1008:55,981:56,1009:57,982:58,1012:17}}],RULECHAR:8254,REMAP:{755:730,756:714,65079:9182,65080:9183,12296:10216,12297:10217,10072:8739},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:a,HW:[[0.844,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9115,i],ext:[9116,i],bot:[9117,i]}},41:{dir:a,HW:[[0.844,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9118,i],ext:[9119,i],bot:[9120,i]}},47:{dir:a,HW:[[0.69,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},91:{dir:a,HW:[[0.818,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i],bot:[9123,i]}},92:{dir:a,HW:[[0.69,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},93:{dir:a,HW:[[0.818,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9124,i],ext:[9125,i],bot:[9126,i]}},123:{dir:a,HW:[[0.861,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9127,i],mid:[9128,i],bot:[9129,i],ext:[9130,i]}},124:{dir:a,HW:[[0.69,l]],stretch:{ext:[8739,l]}},125:{dir:a,HW:[[0.861,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9131,i],mid:[9132,i],bot:[9133,i],ext:[9130,i]}},710:{dir:k,HW:[[0.333,l],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},711:{dir:k,HW:[[0.333,l],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},732:{dir:k,HW:[[0.333,l],[0.558,i],[0.978,h],[1.458,g],[1.886,d],[2.328,c]]},8214:{dir:a,HW:[[0.879,l]],stretch:{ext:[8214,l]}},8254:{dir:k,HW:[[0.5,l]],stretch:{rep:[8254,l]}},8592:{dir:k,HW:[[0.926,l]],stretch:{left:[8592,l],rep:[8722,l]}},8593:{dir:a,HW:[[0.818,l]],stretch:{top:[8593,l],ext:[9168,l]}},8594:{dir:k,HW:[[0.926,l]],stretch:{rep:[8722,l],right:[8594,l]}},8595:{dir:a,HW:[[0.818,l]],stretch:{ext:[9168,l],bot:[8595,l]}},8596:{dir:k,HW:[[0.926,l]],stretch:{left:[8592,l],rep:[8722,l],right:[8594,l]}},8597:{dir:a,HW:[[0.818,l]],stretch:{top:[8593,l],ext:[9168,l],bot:[8595,l]}},8656:{dir:k,HW:[[0.926,l]],stretch:{left:[8656,l],rep:[61,l]}},8657:{dir:a,HW:[[0.818,l]],stretch:{top:[8657,l],ext:[8741,l,0.082]}},8658:{dir:k,HW:[[0.926,l]],stretch:{rep:[61,l],right:[8658,l]}},8659:{dir:a,HW:[[0.818,l]],stretch:{ext:[8741,l,0.082],bot:[8659,l]}},8660:{dir:k,HW:[[0.926,l]],stretch:{left:[8656,l],rep:[61,l],right:[8658,l]}},8661:{dir:a,HW:[[0.818,l]],stretch:{top:[8657,l],ext:[8741,l,0.082],bot:[8659,l]}},8730:{dir:a,HW:[[0.954,"STIXVariants"],[1.232,l],[1.847,i],[2.46,h],[3.075,g]],stretch:{top:[57345,q],ext:[57344,q],bot:[9143,i],fullExtenders:true}},8739:{dir:a,HW:[[0.879,l]],stretch:{ext:[8739,l]}},8741:{dir:a,HW:[[0.879,l]],stretch:{ext:[8741,l]}},8968:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i]}},8969:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],streth:{top:[9124,i],ext:[9125,i]}},8970:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9122,i],bot:[9123,i]}},8971:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9125,i],bot:[9126,i]}},9130:{dir:a,HW:[[1.01,i]],stretch:{top:[9130,i],ext:[9130,i],bot:[9130,i]}},9135:{dir:k,HW:[[0.315,l]],stretch:{rep:[9135,l]}},9136:{dir:a,HW:[[1,i]],stretch:{top:[9127,i],ext:[9130,i],bot:[9133,i]}},9137:{dir:a,HW:[[1,i]],stretch:{top:[9131,i],ext:[9130,i],bot:[9129,i]}},9168:{dir:a,HW:[[0.304,l],[0.69,l,null,124],[0.879,l,null,8739]],stretch:{ext:[8739,l]}},9182:{dir:k,HW:[[0.926,i],[1,l],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57659,q],mid:[57664,q],right:[57660,q],rep:[57674,q]}},9183:{dir:k,HW:[[0.926,i],[1,l],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57661,q],mid:[57665,q],right:[57662,q],rep:[57675,q]}},10216:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10217:{dir:a,HW:[[0.926,l],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10222:{dir:a,HW:[[0.853,l]],stretch:{top:[9127,i],ext:[9130,i],bot:[9129,i]}},10223:{dir:a,HW:[[0.853,l]],stretch:{top:[9131,i],ext:[9130,i],bot:[9133,i]}},45:{alias:9135,dir:k},94:{alias:710,dir:k},95:{alias:9135,dir:k},126:{alias:732,dir:k},175:{alias:9135,dir:k},713:{alias:9135,dir:k},770:{alias:710,dir:k},771:{alias:732,dir:k},780:{alias:711,dir:k},818:{alias:9135,dir:k},8213:{alias:9135,dir:k},8215:{alias:9135,dir:k},8722:{alias:9135,dir:k},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9472:{alias:8722,dir:k},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:k},65080:{alias:9183,dir:k},61:m,8606:m,8608:m,8612:m,8613:f,8614:m,8615:f,8624:f,8625:f,8636:m,8637:m,8638:f,8639:f,8640:m,8641:m,8642:f,8643:f,8666:m,8667:m,9140:m,9141:m,9180:m,9181:m,9184:m,9185:m,10502:m,10503:m,10574:m,10575:f,10576:m,10577:f,10586:m,10587:m,10588:f,10589:f,10590:m,10591:m,10592:f,10593:f,10229:{alias:8592,dir:k},10230:{alias:8594,dir:k},10231:{alias:8596,dir:k},10232:{alias:8656,dir:k},10233:{alias:8658,dir:k},10234:{alias:8660,dir:k},10235:{alias:8612,dir:k},10236:{alias:8614,dir:k},10237:{alias:10502,dir:k},10238:{alias:10503,dir:k},711:m,717:m,759:m,8607:f,8609:f,8616:f,8617:m,8618:m,8626:f,8627:f,8628:m,8629:f,8651:m,8652:m,8672:m,8673:f,8674:m,8675:f,8676:m,8677:m,8701:m,8702:m,8703:m,10214:f,10215:f,10218:f,10219:f,10506:f,10507:f,10514:f,10515:f,10578:m,10579:m,10580:f,10581:f,10582:m,10583:m,10584:f,10585:f,10624:f,10647:f,10648:f}}});j.FONTDATA.FONTS.STIXGeneral={directory:"General/Regular",family:"STIXGeneral",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9600,9631,"BlockElements"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[9984,10175,"Dingbats"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10496,10623,"SupplementalArrowsB"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[11008,11263,"MiscSymbolsAndArrows"],[12288,12351,"CJK"],[12352,12447,"Hiragana"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[65520,65535,"Specials"],[119808,119859,"MathBold"],[119860,119911,"MathItalic"],[119912,119963,"MathBoldItalic"],[119964,120015,"MathScript"],[120016,120067,"MathBoldScript"],[120068,120119,"Fraktur"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120224,120275,"MathSS"],[120276,120327,"MathSSBold"],[120328,120379,"MathSSItalic"],[120380,120431,"MathSSItalicBold"],[120432,120483,"MathTT"],[120484,120485,"ij"],[120488,120545,"GreekBold"],[120546,120603,"GreekItalic"],[120604,120661,"GreekBoldItalic"],[120662,120719,"GreekSSBold"],[120720,120777,"GreekSSBoldItalic"],[120782,120791,"MathBold"],[120792,120801,"BBBold"],[120802,120811,"MathSS"],[120812,120822,"MathSSBold"],[120822,120831,"MathTT"]],32:[0,0,250,0,0],33:[676,9,333,130,236],34:[676,-431,408,77,331],35:[662,0,500,6,495],36:[727,87,500,44,458],37:[706,19,747,61,686],38:[676,13,778,42,750],39:[676,-431,180,48,133],40:[676,177,333,48,304],41:[676,177,333,29,285],42:[676,-265,500,68,433],43:[547,41,685,48,636],44:[102,141,250,55,195],45:[257,-194,333,39,285],46:[100,11,250,70,181],47:[676,14,278,-9,287],48:[676,14,500,24,476],49:[676,0,500,111,394],50:[676,0,500,29,474],51:[676,14,500,41,431],52:[676,0,500,12,473],53:[688,14,500,31,438],54:[684,14,500,34,468],55:[662,8,500,20,449],56:[676,14,500,56,445],57:[676,22,500,30,459],58:[459,11,278,81,192],59:[459,141,278,80,219],60:[534,24,685,56,621],61:[386,-120,685,48,637],62:[534,24,685,56,621],63:[676,8,444,68,414],64:[676,14,921,116,809],65:[674,0,722,15,707],66:[662,0,667,17,593],67:[676,14,667,28,633],68:[662,0,722,16,685],69:[662,0,611,12,597],70:[662,0,556,11,546],71:[676,14,722,32,709],72:[662,0,722,18,703],73:[662,0,333,18,315],74:[662,14,373,-6,354],75:[662,0,722,33,723],76:[662,0,611,12,598],77:[662,0,889,12,864],78:[662,11,722,12,707],79:[676,14,722,34,688],80:[662,0,557,16,542],81:[676,177,722,34,701],82:[662,0,667,17,660],83:[676,14,556,43,491],84:[662,0,611,17,593],85:[662,14,722,14,705],86:[662,11,722,16,697],87:[662,11,944,5,932],88:[662,0,722,10,704],89:[662,0,722,22,703],90:[662,0,612,10,598],91:[662,156,333,88,299],92:[676,14,278,-9,287],93:[662,156,333,34,245],94:[662,-297,469,24,446],95:[-75,125,500,0,500],96:[678,-507,333,18,242],97:[460,10,444,37,442],98:[683,10,500,3,468],99:[460,10,444,25,412],100:[683,10,500,27,491],101:[460,10,444,25,424],102:[683,0,333,20,383],103:[460,218,500,28,470],104:[683,0,500,9,487],105:[683,0,278,16,253],106:[683,218,278,-70,194],107:[683,0,500,7,505],108:[683,0,278,19,257],109:[460,0,778,16,775],110:[460,0,500,16,485],111:[460,10,500,29,470],112:[460,217,500,5,470],113:[460,217,500,24,488],114:[460,0,333,5,335],115:[459,10,389,51,348],116:[579,10,278,13,279],117:[450,10,500,9,480],118:[450,14,500,19,477],119:[450,14,722,21,694],120:[450,0,500,17,479],121:[450,218,500,14,475],122:[450,0,444,27,418],123:[680,181,480,100,350],124:[676,14,200,67,133],125:[680,181,480,130,380],126:[325,-183,541,40,502],160:[0,0,250,0,0],168:[622,-523,333,18,316],172:[393,-115,600,48,552],175:[601,-547,333,11,322],177:[502,87,685,48,637],183:[310,-199,250,70,181],215:[529,25,640,43,597],247:[516,10,564,30,534],305:[460,0,278,16,253],567:[460,218,278,-70,193],710:[674,-507,333,11,322],711:[674,-507,333,11,322],713:[601,-547,334,11,322],714:[679,-509,333,93,320],715:[679,-509,333,22,249],728:[664,-507,335,27,308],729:[622,-523,333,118,217],732:[638,-532,333,1,331],768:[678,-507,0,-371,-147],769:[678,-507,0,-371,-147],770:[674,-507,0,-386,-75],771:[638,-532,0,-395,-65],772:[601,-547,0,-385,-74],774:[664,-507,0,-373,-92],775:[622,-523,0,-280,-181],776:[622,-523,0,-379,-81],778:[711,-512,0,-329,-130],779:[678,-507,0,-401,-22],780:[674,-507,0,-385,-74],824:[662,156,0,-380,31],915:[662,0,587,11,577],916:[674,0,722,48,675],920:[676,14,722,34,688],923:[674,0,702,15,687],926:[662,0,643,29,614],928:[662,0,722,18,703],931:[662,0,624,30,600],933:[674,0,722,29,703],934:[662,0,763,35,728],936:[690,0,746,22,724],937:[676,0,744,29,715],8224:[676,149,500,59,442],8225:[676,153,500,58,442],8230:[100,11,1000,111,888],8242:[678,-402,289,75,214],8254:[820,-770,500,0,500],8407:[760,-548,0,-453,-17],8465:[695,34,762,45,711],8472:[547,217,826,52,799],8476:[704,22,874,50,829],8501:[677,13,682,43,634],8592:[449,-58,926,71,857],8593:[662,156,511,60,451],8594:[448,-57,926,70,856],8595:[662,156,511,60,451],8596:[449,-57,926,38,888],8597:[730,224,511,60,451],8598:[662,156,926,70,856],8599:[662,156,926,70,856],8600:[662,156,926,70,856],8601:[662,156,926,70,856],8614:[450,-57,926,70,857],8617:[553,-57,926,70,856],8618:[553,-57,926,70,856],8636:[494,-220,955,54,901],8637:[286,-12,955,54,901],8640:[494,-220,955,54,901],8641:[286,-12,955,54,901],8652:[539,33,926,70,856],8656:[551,45,926,60,866],8657:[662,156,685,45,641],8658:[551,45,926,60,866],8659:[662,156,685,45,641],8660:[517,10,926,20,906],8661:[730,224,685,45,641],8704:[662,0,560,2,558],8706:[668,11,471,40,471],8707:[662,0,560,73,487],8709:[583,79,762,50,712],8711:[662,12,731,63,667],8712:[531,27,685,60,625],8713:[662,157,685,60,625],8715:[531,27,685,60,625],8719:[763,259,1000,52,948],8720:[763,259,1000,52,948],8721:[763,259,914,58,856],8722:[286,-220,685,64,621],8723:[502,87,685,48,637],8725:[710,222,523,46,478],8726:[411,-93,428,25,403],8727:[471,-33,523,67,457],8728:[387,-117,350,40,310],8729:[387,-117,350,40,310],8730:[973,259,928,112,963],8733:[430,0,685,41,643],8734:[430,0,926,70,854],8736:[547,0,685,23,643],8739:[690,189,266,100,166],8741:[690,189,523,129,394],8743:[536,29,620,31,589],8744:[536,29,620,31,589],8745:[536,31,620,48,572],8746:[536,31,620,48,572],8747:[824,320,459,32,639],8764:[362,-148,685,48,637],8768:[547,42,286,35,249],8771:[445,-55,685,48,637],8773:[532,27,685,48,637],8776:[475,-25,685,48,637],8781:[498,-8,685,48,637],8784:[611,-120,685,48,637],8800:[662,156,685,48,637],8801:[478,-28,685,48,637],8804:[609,103,685,64,629],8805:[609,103,685,64,629],8810:[532,26,933,25,908],8811:[532,26,933,25,908],8826:[532,26,685,64,621],8827:[532,26,685,64,621],8828:[628,120,685,64,621],8829:[629,119,685,64,621],8834:[531,25,685,64,621],8835:[531,25,685,64,621],8838:[607,103,685,64,621],8839:[607,103,685,64,621],8846:[536,31,620,48,572],8849:[607,103,685,64,621],8850:[607,103,685,64,621],8851:[536,31,620,48,572],8852:[536,31,620,48,572],8853:[623,119,842,50,792],8854:[623,119,842,50,792],8855:[623,119,842,50,792],8856:[623,119,842,50,792],8857:[583,79,762,50,712],8866:[662,0,685,64,621],8867:[662,0,685,64,621],8868:[662,0,685,48,637],8869:[662,0,685,48,637],8872:[662,0,685,64,621],8896:[763,259,924,54,870],8897:[763,259,924,54,870],8898:[778,254,924,94,830],8899:[768,264,924,94,830],8900:[488,-16,523,26,497],8901:[313,-193,286,83,203],8902:[597,13,700,35,665],8904:[582,80,810,54,756],8942:[606,104,511,192,319],8943:[316,-189,926,108,818],8945:[520,18,926,194,732],8968:[713,213,469,188,447],8969:[713,213,469,27,286],8970:[713,213,469,188,447],8971:[713,213,469,27,286],8994:[360,-147,1019,54,965],8995:[360,-147,1019,54,965],9135:[286,-220,315,0,315],9168:[405,-101,511,222,288],9651:[811,127,1145,35,1110],9657:[555,50,660,80,605],9661:[811,127,1145,35,1110],9667:[554,51,660,55,580],9711:[785,282,1207,70,1137],9824:[609,99,685,34,651],9825:[603,105,685,34,651],9826:[609,105,685,41,643],9827:[603,99,685,34,651],9837:[768,10,426,57,346],9838:[768,181,426,75,350],9839:[768,181,426,41,386],10216:[713,213,400,77,335],10217:[713,213,400,65,323],10222:[676,177,233,56,211],10223:[676,177,233,22,177],10229:[449,-58,1574,55,1519],10230:[449,-57,1574,55,1519],10231:[449,-57,1574,55,1519],10232:[551,45,1574,55,1519],10233:[551,45,1574,55,1519],10234:[517,10,1574,55,1519],10235:[450,-57,1574,55,1519],10236:[450,-57,1574,55,1519],10741:[710,222,523,46,478],10752:[763,259,1126,53,1073],10753:[763,259,1126,53,1073],10754:[763,259,1126,53,1073],10755:[768,264,924,94,830],10756:[768,264,924,94,830],10757:[763,259,924,94,830],10758:[763,259,924,94,830],10815:[662,0,694,30,664],10927:[609,103,685,64,621],10928:[609,103,685,64,621]};j.FONTDATA.FONTS["STIXGeneral-bold"]={directory:"General/Bold",family:"STIXGeneral",weight:"bold",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[119808,119859,"MathBold"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120276,120327,"MathSSBold"],[120488,120545,"GreekBold"],[120662,120719,"GreekSSBold"],[120782,120791,"MathBold"],[120812,120822,"MathSSBold"]],32:[0,0,250,0,0],33:[691,13,333,81,251],34:[691,-404,555,83,472],35:[700,0,500,5,495],36:[750,99,500,29,472],37:[706,29,749,61,688],38:[691,16,833,62,789],39:[691,-404,278,75,204],40:[694,168,333,46,306],41:[694,168,333,27,287],42:[691,-255,500,56,448],43:[563,57,750,65,685],44:[155,180,250,39,223],45:[287,-171,333,44,287],46:[156,13,250,41,210],47:[691,19,278,-24,302],48:[688,13,500,24,476],49:[688,0,500,65,441],50:[688,0,500,17,478],51:[688,14,500,16,468],52:[688,0,500,19,476],53:[676,8,500,22,470],54:[688,13,500,28,475],55:[676,0,500,17,477],56:[688,13,500,28,472],57:[688,13,500,26,473],58:[472,13,333,82,251],59:[472,180,333,82,266],60:[534,24,750,80,670],61:[399,-107,750,68,682],62:[534,24,750,80,670],63:[689,13,500,57,445],64:[691,19,930,108,822],65:[690,0,722,9,689],66:[676,0,667,16,619],67:[691,19,722,49,687],68:[676,0,722,14,690],69:[676,0,667,16,641],70:[676,0,611,16,583],71:[691,19,778,37,755],72:[676,0,778,21,759],73:[676,0,389,20,370],74:[676,96,500,3,478],75:[676,0,778,30,769],76:[677,0,667,19,638],77:[676,0,944,14,921],78:[676,18,722,16,701],79:[691,19,778,35,743],80:[676,0,611,16,600],81:[691,176,778,35,743],82:[676,0,722,26,716],83:[692,19,556,35,513],84:[676,0,667,31,636],85:[676,19,722,16,701],86:[676,18,722,16,701],87:[676,15,1000,19,981],88:[676,0,722,16,699],89:[676,0,722,15,699],90:[676,0,667,28,634],91:[678,149,333,67,301],92:[691,19,278,-25,303],93:[678,149,333,32,266],94:[676,-311,581,73,509],95:[-75,125,500,0,500],96:[713,-528,333,8,246],97:[473,14,500,25,488],98:[676,14,556,17,521],99:[473,14,444,25,430],100:[676,14,556,25,534],101:[473,14,444,25,427],102:[691,0,333,14,389],103:[473,206,500,28,483],104:[676,0,556,15,534],105:[691,0,278,15,256],106:[691,203,333,-57,263],107:[676,0,556,22,543],108:[676,0,278,15,256],109:[473,0,833,15,814],110:[473,0,556,21,539],111:[473,14,500,25,476],112:[473,205,556,19,524],113:[473,205,556,34,536],114:[473,0,444,28,434],115:[473,14,389,25,361],116:[630,12,333,19,332],117:[461,14,556,16,538],118:[461,14,500,21,485],119:[461,14,722,23,707],120:[461,0,500,12,484],121:[461,205,500,16,482],122:[461,0,444,21,420],123:[698,175,394,22,340],124:[691,19,220,66,154],125:[698,175,394,54,372],126:[333,-173,520,29,491],915:[676,0,620,16,593],916:[690,0,722,33,673],920:[692,18,778,35,743],923:[690,0,707,9,674],926:[676,0,647,40,607],928:[676,0,778,21,759],931:[676,0,671,28,641],933:[692,0,703,7,693],934:[676,0,836,18,818],936:[692,0,808,15,797],937:[692,0,768,28,740]};j.FONTDATA.FONTS["STIXGeneral-italic"]={directory:"General/Italic",family:"STIXGeneral",style:"italic",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8704,8959,"MathOperators"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[64256,64335,"AlphaPresentForms"],[119860,119911,"MathItalic"],[119964,120015,"MathScript"],[120328,120379,"MathSSItalic"],[120484,120485,"ij"],[120546,120603,"GreekItalic"]],32:[0,0,250,0,0],33:[667,11,333,39,304],34:[666,-421,420,144,432],35:[676,0,501,2,540],36:[731,89,500,32,497],37:[706,19,755,80,705],38:[666,18,778,76,723],39:[666,-421,214,132,241],40:[669,181,333,42,315],41:[669,180,333,16,289],42:[666,-255,500,128,492],43:[506,0,675,86,590],44:[101,129,250,-5,135],45:[255,-192,333,49,282],46:[100,11,250,27,138],47:[666,18,278,-65,386],48:[676,7,500,32,497],49:[676,0,500,50,409],50:[676,0,500,12,452],51:[676,7,500,16,465],52:[676,0,500,1,479],53:[666,7,500,15,491],54:[686,7,500,30,521],55:[666,8,500,75,537],56:[676,7,500,30,493],57:[676,17,500,23,492],58:[441,11,333,50,261],59:[441,129,333,26,261],60:[516,10,675,84,592],61:[386,-120,675,86,590],62:[516,10,675,84,592],63:[664,12,500,132,472],64:[666,18,920,118,806],65:[668,0,611,-51,564],66:[653,0,611,-8,588],67:[666,18,667,66,689],68:[653,0,722,-8,700],69:[653,0,611,-1,634],70:[653,0,611,8,645],71:[666,18,722,52,722],72:[653,0,722,-8,769],73:[653,0,333,-8,384],74:[653,18,444,-6,491],75:[653,0,667,7,722],76:[653,0,556,-8,559],77:[653,0,833,-18,872],78:[653,15,667,-20,727],79:[667,18,722,60,699],80:[653,0,611,0,605],81:[666,182,722,59,699],82:[653,0,611,-13,588],83:[667,18,500,17,508],84:[653,0,556,59,633],85:[653,18,722,102,765],86:[653,18,611,76,688],87:[653,18,833,71,906],88:[653,0,611,-29,655],89:[653,0,556,78,633],90:[653,0,556,-6,606],91:[663,153,389,21,391],92:[666,18,278,-41,319],93:[663,153,389,12,382],94:[666,-301,422,0,422],95:[-75,125,500,0,500],96:[664,-492,333,120,311],97:[441,11,501,17,476],98:[683,11,500,23,473],99:[441,11,444,30,425],100:[683,13,500,15,527],101:[441,11,444,31,412],102:[678,207,278,-147,424],103:[441,206,500,8,471],104:[683,9,500,19,478],105:[654,11,278,49,264],106:[652,207,278,-124,279],107:[683,11,444,14,461],108:[683,11,278,41,279],109:[441,9,722,12,704],110:[441,9,500,14,474],111:[441,11,500,27,468],112:[441,205,504,-75,472],113:[441,209,500,25,484],114:[441,0,389,45,412],115:[442,13,389,16,366],116:[546,11,278,38,296],117:[441,11,500,42,475],118:[441,18,444,20,426],119:[441,18,667,15,648],120:[441,11,444,-27,447],121:[441,206,444,-24,426],122:[428,81,389,-2,380],123:[687,177,400,51,407],124:[666,18,275,105,171],125:[687,177,400,-7,349],126:[323,-183,541,40,502],305:[441,11,278,47,235],567:[441,207,278,-124,246],915:[653,0,611,8,645],916:[668,0,611,-32,526],920:[667,18,722,60,699],923:[668,0,611,-51,564],926:[653,0,651,-6,680],928:[653,0,722,-8,769],931:[653,0,620,-6,659],933:[668,0,556,78,648],934:[653,0,741,50,731],936:[667,0,675,77,778],937:[666,0,762,-6,739],945:[441,11,552,27,549],946:[678,205,506,-40,514],947:[435,206,410,19,438],948:[668,11,460,24,460],949:[441,11,444,30,425],950:[683,185,454,30,475],951:[441,205,474,14,442],952:[678,11,480,27,494],953:[441,11,278,49,235],954:[441,13,444,14,465],955:[678,16,458,-12,431],956:[428,205,526,-33,483],957:[441,18,470,20,459],958:[683,185,454,30,446],959:[441,11,500,27,468],960:[428,18,504,19,536],961:[441,205,504,-40,471],962:[441,185,454,30,453],963:[428,11,498,27,531],964:[428,11,410,12,426],965:[441,10,478,19,446],966:[441,205,622,27,590],967:[441,207,457,-108,498],968:[441,205,584,15,668],969:[439,11,686,27,654],977:[678,10,556,19,526],981:[683,205,627,27,595],982:[428,11,792,17,832],1009:[441,205,516,27,484],1013:[441,11,444,30,420],8467:[687,11,579,48,571]};j.FONTDATA.FONTS.STIXIntegralsD={directory:"IntegralsD/Regular",family:"STIXIntegralsD",Ranges:[[32,32,"All"],[160,160,"All"],[8747,8755,"All"],[10763,10780,"All"]],8747:[2000,269,585,56,1035],8750:[2000,269,635,56,1035]};j.FONTDATA.FONTS.STIXNonUnicode={directory:"NonUnicode/Regular",family:"STIXNonUnicode",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57344:[610,25,1184,829,895],57345:[667,-41,1184,829,1211],57656:[634,-584,480,-10,490],57657:[-127,177,480,-10,490],57659:[955,-512,897,-25,908],57660:[955,-512,897,-11,922],57661:[182,261,897,-25,908],57662:[182,261,897,-11,922],57664:[1218,-820,1844,-10,1854],57665:[-126,524,1844,-10,1854],57674:[955,-820,633,-1,634],57675:[-126,261,633,-1,634],57953:[422,10,523,41,481],57957:[421,0,523,127,405],57961:[421,0,523,68,455],57965:[424,198,523,47,463],57969:[420,198,523,58,480],57973:[421,198,523,66,457],57977:[612,8,523,37,486],57981:[421,198,523,25,490],57985:[606,12,523,47,477],57989:[421,200,523,41,483],57999:[135,0,325,-1,326],58000:[135,0,633,-1,634]};j.FONTDATA.FONTS["STIXNonUnicode-bold"]={directory:"NonUnicode/Bold",family:"STIXNonUnicode",weight:"bold",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]]};j.FONTDATA.FONTS["STIXNonUnicode-italic"]={directory:"NonUnicode/Italic",family:"STIXNonUnicode",style:"italic",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57901:[677,45,852,43,812],57902:[670,3,724,35,709],57903:[671,11,569,43,586],57904:[662,0,801,34,788],57905:[670,4,553,40,599],57906:[662,0,652,43,710],57907:[671,131,580,40,580],57908:[664,21,831,41,845],57909:[662,0,575,38,591],57910:[662,120,632,31,785],57911:[670,13,809,30,783],57912:[670,7,693,30,653],57913:[671,45,1166,40,1128],57914:[795,37,957,40,1064],57915:[669,10,737,38,729],57916:[662,0,667,38,709],57917:[671,131,744,43,704],57918:[662,3,854,38,816],57919:[671,0,634,38,671],57920:[721,0,509,41,730],57921:[672,13,817,37,950],57922:[677,33,638,33,680],57923:[685,32,956,33,998],57924:[672,13,692,38,739],57925:[675,131,719,34,763],57926:[664,94,752,38,714]};j.FONTDATA.FONTS.STIXSizeOneSym={directory:"SizeOneSym/Regular",family:"STIXSizeOneSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8512,8512,"All"],[8730,8732,"All"],[8992,8993,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[10744,10745,"All"],[10752,10762,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1066,164,468,139,382],41:[1066,164,468,86,329],47:[1066,164,579,25,552],91:[1066,164,383,180,363],92:[1066,164,579,27,552],93:[1066,164,383,20,203],95:[-127,177,1000,0,1000],123:[1066,164,575,114,466],125:[1066,164,575,109,461],160:[0,0,250,0,0],770:[767,-554,0,-720,-160],771:[750,-598,0,-722,-162],8719:[1500,-49,1355,50,1305],8720:[1500,-49,1355,50,1305],8721:[1499,-49,1292,90,1202],8730:[1552,295,1057,112,1089],8896:[1500,-49,1265,60,1205],8897:[1500,-49,1265,60,1205],8898:[1510,-49,1265,118,1147],8899:[1500,-39,1265,118,1147],8968:[1066,164,453,180,426],8969:[1066,164,453,25,273],8970:[1066,164,453,180,428],8971:[1066,164,453,27,273],9115:[700,305,450,50,400],9116:[705,305,450,50,174],9117:[705,300,450,50,400],9118:[700,305,450,50,400],9119:[705,305,450,276,400],9120:[705,300,450,50,400],9121:[682,323,450,50,415],9122:[687,323,450,50,150],9123:[687,318,450,50,415],9124:[682,323,450,35,400],9125:[687,323,450,300,400],9126:[687,318,450,35,400],9127:[700,305,640,260,600],9128:[705,305,640,40,380],9129:[705,300,640,260,600],9130:[705,305,640,260,380],9131:[700,305,640,40,380],9132:[705,305,640,260,600],9133:[705,300,640,40,380],9134:[610,25,688,294,394],9136:[700,301,600,35,566],9137:[700,301,600,35,566],9143:[1510,345,1184,112,895],9144:[1566,289,721,0,66],9145:[1566,289,721,655,721],9182:[136,89,926,0,925],9183:[789,-564,926,0,925],10216:[1066,164,578,116,462],10217:[1066,164,578,116,462],10752:[1500,-49,1555,52,1503],10753:[1500,-49,1555,52,1503],10754:[1500,-49,1555,52,1503],10756:[1500,-39,1265,118,1147],10757:[1500,-49,1153,82,1071],10758:[1500,-49,1153,82,1071]};j.FONTDATA.FONTS.STIXSizeTwoSym={directory:"SizeTwoSym/Regular",family:"STIXSizeTwoSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1566,279,589,139,503],41:[1566,279,608,114,478],47:[1566,279,806,25,781],91:[1566,279,459,190,422],92:[1566,279,806,25,781],93:[1566,279,459,37,269],95:[-127,177,1500,0,1500],123:[1566,279,717,124,531],125:[1566,279,717,186,593],160:[0,0,250,0,0],770:[777,-564,0,-1150,-171],771:[760,-608,0,-1152,-173],8730:[2056,404,1124,110,1157],8968:[1566,279,524,190,479],8969:[1566,279,526,47,336],8970:[1566,279,524,190,479],8971:[1566,279,526,47,336],9182:[143,81,1460,0,1460],9183:[797,-573,1460,0,1460],10216:[1566,279,622,95,531],10217:[1566,279,622,91,527]};j.FONTDATA.FONTS.STIXSizeThreeSym={directory:"SizeThreeSym/Regular",family:"STIXSizeThreeSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2066,394,750,182,667],41:[2066,394,750,83,568],47:[2066,394,1101,30,1071],91:[2066,394,508,225,491],92:[2066,394,1101,30,1071],93:[2066,394,508,17,283],95:[-127,177,2000,0,2000],123:[2066,394,906,143,717],125:[2066,394,906,189,763],160:[0,0,250,0,0],770:[777,-564,0,-1610,-150],771:[774,-608,0,-1612,-152],8730:[2565,510,1076,112,1110],8968:[2066,394,565,225,550],8969:[2066,394,565,15,340],8970:[2066,394,565,225,550],8971:[2066,394,565,15,340],9182:[157,86,1886,0,1886],9183:[815,-572,1886,0,1886],10216:[2066,394,765,96,670],10217:[2066,394,765,95,669]};j.FONTDATA.FONTS.STIXSizeFourSym={directory:"SizeFourSym/Regular",family:"STIXSizeFourSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2566,509,808,124,732],41:[2566,509,808,76,684],47:[2566,509,1309,16,1293],91:[2566,509,661,295,634],92:[2566,509,1309,16,1293],93:[2566,509,661,27,366],95:[-127,177,2500,0,2500],123:[2566,509,1076,173,882],125:[2566,509,1076,194,903],160:[0,0,250,0,0],770:[796,-573,0,-2040,-154],771:[771,-608,0,-2040,-154],8730:[1510,345,1184,112,895],8968:[2566,509,682,295,655],8969:[2566,509,682,27,387],8970:[2566,509,682,295,655],8971:[2566,509,682,27,387],9182:[175,90,2328,0,2328],9183:[837,-572,2328,0,2328],10216:[2566,509,908,113,796],10217:[2566,509,908,112,795]};j.FONTDATA.FONTS.STIXSizeFiveSym={directory:"SizeFiveSym/Regular",family:"STIXSizeFiveSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[9115,9145,"All"],[9180,9185,"All"]],32:[0,0,250,0,0],95:[-127,177,3000,0,3000],160:[0,0,250,0,0],770:[816,-572,0,-2485,-157],771:[780,-617,0,-2485,-157],9182:[181,90,3238,0,3238],9183:[844,-573,3238,0,3238]};j.FONTDATA.FONTS.STIXVariants={directory:"Variants/Regular",family:"STIXVariants",Ranges:[[32,32,"All"],[119,124,"All"],[160,160,"All"],[411,411,"All"],[612,612,"All"],[8242,8279,"All"],[8512,8512,"All"],[8592,8595,"All"],[8657,8674,"All"],[8709,8941,"All"],[8994,8995,"All"],[9251,9251,"All"],[9641,9641,"All"],[10812,10990,"All"]],8242:[565,-28,340,44,295],8463:[683,10,579,47,547],8709:[729,74,523,28,502],8726:[710,222,523,46,478],8730:[943,11,737,67,767]};j.FONTDATA.FONTS.STIXGeneral[8942][0]+=400;j.FONTDATA.FONTS.STIXGeneral[8945][0]+=500;j.FONTDATA.FONTS.STIXGeneral[8722][1]+=100;j.FONTDATA.FONTS.STIXGeneral[61][1]+=100;j.FONTDATA.FONTS.STIXNonUnicode[57674][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57674][1]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][1]+=200;MathJax.Hub.Register.LoadHook(j.fontDir+"/Variants/Regular/All.js",function(){j.FONTDATA.FONTS.STIXVariants[32][2]+=275;j.FONTDATA.FONTS.STIXVariants[32][5]={rfix:275}});MathJax.Hub.Browser.Select({MSIE:function(v){if(!v.versionAtLeast("8.0")||document.documentMode<8){var w=j.FONTDATA;w.REMAP[713]=175;w.REMAP[714]=180;w.REMAP[715]=96;w.REMAP[730]=176;w.RANGES[5]=w.RANGES[4];w.RANGES[4]=w.RANGES[3];w.RANGES[3]={name:"greek",low:945,high:1014,offset:"GG",remap:{1013:26,977:27,1008:28,981:29,1009:30,982:31}};w.VARIANT.bold.offsetGG=120514;w.VARIANT.bold.offsetG=120488;w.VARIANT.italic.offsetGG=120572;w.VARIANT.italic.offsetG=120546;w.VARIANT["bold-italic"].offsetGG=120630;w.VARIANT["bold-italic"].offsetG=120604}},Safari:function(v){v.STIXfontBug=v.versionAtLeast("5.1")&&v.isMac},Chrome:function(w){if(w.isMac){var v=navigator.appVersion.match(/AppleWebKit\/(\d+)/);if(v&&parseInt(v[1])>534){w.STIXfontBug=true}}}});if(MathJax.Hub.Browser.STIXfontBug){j.FONTDATA.FONTS.STIXGeneral.family="STIXGeneral-Regular";j.FONTDATA.FONTS["STIXGeneral-italic"].family="STIXGeneral-Italic";delete j.FONTDATA.FONTS["STIXGeneral-italic"].style;j.FONTDATA.FONTS.STIXNonUnicode.family="STIXNonUnicode-Regular";j.FONTDATA.FONTS["STIXNonUnicode-italic"].family="STIXNonUnicode-Italic";delete j.FONTDATA.FONTS["STIXNonUnicode-italic"].style}var e=[];var n=j.Font.div;r.addElement(n,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE38C\uE38C\uE38C\uE38C\uE38C"]);r.addElement(n,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE39A\uE39A\uE39A\uE39A\uE39A"]);if(n.lastChild.previousSibling.offsetWidth<n.lastChild.offsetWidth){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-1.0.js"])}n.removeChild(n.lastChild);n.removeChild(n.lastChild);if(!j.Font.testFont({family:"STIXSizeOneSym",testString:"\u02C6"})){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-beta.js"])}e.push(["loadComplete",MathJax.Ajax,j.fontDir+"/fontdata.js"]);MathJax.Callback.Queue.apply(MathJax.Callback,e)})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.HTML);
diff --git a/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js b/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
index 1e3f8b92d..c7dd65406 100644
--- a/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(g){var l="2.3";var k=g.FONTDATA.DELIMITERS;var f="MathJax_Main",h="MathJax_Main-bold",i="MathJax_AMS",d="MathJax_Size1",a="MathJax_Size4";var j="H",e="V";var c={61:{dir:j,HW:[[0.767,f]],stretch:{rep:[61,f]}},8606:{dir:j,HW:[[1,i]],stretch:{left:[8606,i],rep:[8722,f]}},8608:{dir:j,HW:[[1,i]],stretch:{right:[8608,i],rep:[8722,f]}},8612:{dir:j,HW:[],stretch:{min:1,left:[8592,f],rep:[8722,f],right:[8739,d,0,-0.05,0.9]}},8613:{dir:e,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,d],top:[8593,d]}},8614:{dir:j,HW:[[1,f]],stretch:{left:[8739,d,-0.09,-0.05,0.9],rep:[8722,f],right:[8594,f]}},8615:{dir:e,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,d],bot:[8595,d]}},8624:{dir:e,HW:[[0.722,i]],stretch:{top:[8624,i],ext:[9168,d,0.097]}},8625:{dir:e,HW:[[0.722,i]],stretch:{top:[8625,i,0.27],ext:[9168,d]}},8636:{dir:j,HW:[[1,f]],stretch:{left:[8636,f],rep:[8722,f]}},8637:{dir:j,HW:[[1,f]],stretch:{left:[8637,f],rep:[8722,f]}},8638:{dir:e,HW:[[0.888,i]],stretch:{top:[8638,i,0.12,0,1.1],ext:[9168,d]}},8639:{dir:e,HW:[[0.888,i]],stretch:{top:[8639,i,0.12,0,1.1],ext:[9168,d]}},8640:{dir:j,HW:[[1,f]],stretch:{right:[8640,f],rep:[8722,f]}},8641:{dir:j,HW:[[1,f]],stretch:{right:[8641,f],rep:[8722,f]}},8642:{dir:e,HW:[[0.888,i]],stretch:{bot:[8642,i,0.12,0,1.1],ext:[9168,d]}},8643:{dir:e,HW:[[0.888,i]],stretch:{bot:[8643,i,0.12,0,1.1],ext:[9168,d]}},8666:{dir:j,HW:[[1,i]],stretch:{left:[8666,i],rep:[8801,f]}},8667:{dir:j,HW:[[1,i]],stretch:{right:[8667,i],rep:[8801,f]}},9140:{dir:j,HW:[],stretch:{min:0.5,left:[9484,i,0,-0.1],rep:[8722,f,0,0.35],right:[9488,i,0,-0.1]}},9141:{dir:j,HW:[],stretch:{min:0.5,left:[9492,i,0,0.26],rep:[8722,f,0,0,0,0.25],right:[9496,i,0,0.26]}},9180:{dir:j,HW:[[0.778,i,0,8994],[1,f,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:j,HW:[[0.778,i,0,8995],[1,f,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:j,HW:[],stretch:{min:1.25,left:[714,f,-0.1],rep:[713,f,0,0.13],right:[715,f],fullExtenders:true}},9185:{dir:j,HW:[],stretch:{min:1.5,left:[715,f,-0.1,0.1],rep:[713,f],right:[714,f,-0.1,0.1],fullExtenders:true}},10502:{dir:j,HW:[],stretch:{min:1,left:[8656,f],rep:[61,f],right:[8739,d,0,-0.1]}},10503:{dir:j,HW:[],stretch:{min:0.7,left:[8872,i,0,-0.12],rep:[61,f],right:[8658,f]}},10574:{dir:j,HW:[],stretch:{min:0.5,left:[8636,f],rep:[8722,f],right:[8640,f]}},10575:{dir:e,HW:[],stretch:{min:0.5,top:[8638,i,0.12,0,1.1],ext:[9168,d],bot:[8642,i,0.12,0,1.1]}},10576:{dir:j,HW:[],stretch:{min:0.5,left:[8637,f],rep:[8722,f],right:[8641,f]}},10577:{dir:e,HW:[],stretch:{min:0.5,top:[8639,i,0.12,0,1.1],ext:[9168,d],bot:[8643,i,0.12,0,1.1]}},10586:{dir:j,HW:[],stretch:{min:1,left:[8636,f],rep:[8722,f],right:[8739,d,0,-0.05,0.9]}},10587:{dir:j,HW:[],stretch:{min:1,left:[8739,d,-0.05,-0.05,0.9],rep:[8722,f],right:[8640,f]}},10588:{dir:e,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,d],top:[8638,i,0.12,0,1.1]}},10589:{dir:e,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,d],bot:[8642,i,0.12,0,1.1]}},10590:{dir:j,HW:[],stretch:{min:1,left:[8637,f],rep:[8722,f],right:[8739,d,0,-0.05,0.9]}},10591:{dir:j,HW:[],stretch:{min:1,left:[8739,d,-0.05,-0.05,0.9],rep:[8722,f],right:[8641,f]}},10592:{dir:e,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,d],top:[8639,i,0.12,0,1.1]}},10593:{dir:e,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,d],bot:[8643,i,0.12,0,1.1]}}};for(var b in c){if(c.hasOwnProperty(b)){k[b]=c[b]}}MathJax.Ajax.loadComplete(g.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(g){var l="2.4-beta";var k=g.FONTDATA.DELIMITERS;var f="MathJax_Main",h="MathJax_Main-bold",i="MathJax_AMS",d="MathJax_Size1",a="MathJax_Size4";var j="H",e="V";var c={61:{dir:j,HW:[[0.767,f]],stretch:{rep:[61,f]}},8606:{dir:j,HW:[[1,i]],stretch:{left:[8606,i],rep:[8722,f]}},8608:{dir:j,HW:[[1,i]],stretch:{right:[8608,i],rep:[8722,f]}},8612:{dir:j,HW:[],stretch:{min:1,left:[8592,f],rep:[8722,f],right:[8739,d,0,-0.05,0.9]}},8613:{dir:e,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,d],top:[8593,d]}},8614:{dir:j,HW:[[1,f]],stretch:{left:[8739,d,-0.09,-0.05,0.9],rep:[8722,f],right:[8594,f]}},8615:{dir:e,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,d],bot:[8595,d]}},8624:{dir:e,HW:[[0.722,i]],stretch:{top:[8624,i],ext:[9168,d,0.097]}},8625:{dir:e,HW:[[0.722,i]],stretch:{top:[8625,i,0.27],ext:[9168,d]}},8636:{dir:j,HW:[[1,f]],stretch:{left:[8636,f],rep:[8722,f]}},8637:{dir:j,HW:[[1,f]],stretch:{left:[8637,f],rep:[8722,f]}},8638:{dir:e,HW:[[0.888,i]],stretch:{top:[8638,i,0.12,0,1.1],ext:[9168,d]}},8639:{dir:e,HW:[[0.888,i]],stretch:{top:[8639,i,0.12,0,1.1],ext:[9168,d]}},8640:{dir:j,HW:[[1,f]],stretch:{right:[8640,f],rep:[8722,f]}},8641:{dir:j,HW:[[1,f]],stretch:{right:[8641,f],rep:[8722,f]}},8642:{dir:e,HW:[[0.888,i]],stretch:{bot:[8642,i,0.12,0,1.1],ext:[9168,d]}},8643:{dir:e,HW:[[0.888,i]],stretch:{bot:[8643,i,0.12,0,1.1],ext:[9168,d]}},8666:{dir:j,HW:[[1,i]],stretch:{left:[8666,i],rep:[8801,f]}},8667:{dir:j,HW:[[1,i]],stretch:{right:[8667,i],rep:[8801,f]}},9140:{dir:j,HW:[],stretch:{min:0.5,left:[9484,i,0,-0.1],rep:[8722,f,0,0.35],right:[9488,i,0,-0.1]}},9141:{dir:j,HW:[],stretch:{min:0.5,left:[9492,i,0,0.26],rep:[8722,f,0,0,0,0.25],right:[9496,i,0,0.26]}},9180:{dir:j,HW:[[0.778,i,0,8994],[1,f,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:j,HW:[[0.778,i,0,8995],[1,f,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:j,HW:[],stretch:{min:1.25,left:[714,f,-0.1],rep:[713,f,0,0.13],right:[715,f],fullExtenders:true}},9185:{dir:j,HW:[],stretch:{min:1.5,left:[715,f,-0.1,0.1],rep:[713,f],right:[714,f,-0.1,0.1],fullExtenders:true}},10502:{dir:j,HW:[],stretch:{min:1,left:[8656,f],rep:[61,f],right:[8739,d,0,-0.1]}},10503:{dir:j,HW:[],stretch:{min:0.7,left:[8872,i,0,-0.12],rep:[61,f],right:[8658,f]}},10574:{dir:j,HW:[],stretch:{min:0.5,left:[8636,f],rep:[8722,f],right:[8640,f]}},10575:{dir:e,HW:[],stretch:{min:0.5,top:[8638,i,0.12,0,1.1],ext:[9168,d],bot:[8642,i,0.12,0,1.1]}},10576:{dir:j,HW:[],stretch:{min:0.5,left:[8637,f],rep:[8722,f],right:[8641,f]}},10577:{dir:e,HW:[],stretch:{min:0.5,top:[8639,i,0.12,0,1.1],ext:[9168,d],bot:[8643,i,0.12,0,1.1]}},10586:{dir:j,HW:[],stretch:{min:1,left:[8636,f],rep:[8722,f],right:[8739,d,0,-0.05,0.9]}},10587:{dir:j,HW:[],stretch:{min:1,left:[8739,d,-0.05,-0.05,0.9],rep:[8722,f],right:[8640,f]}},10588:{dir:e,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,d],top:[8638,i,0.12,0,1.1]}},10589:{dir:e,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,d],bot:[8642,i,0.12,0,1.1]}},10590:{dir:j,HW:[],stretch:{min:1,left:[8637,f],rep:[8722,f],right:[8739,d,0,-0.05,0.9]}},10591:{dir:j,HW:[],stretch:{min:1,left:[8739,d,-0.05,-0.05,0.9],rep:[8722,f],right:[8641,f]}},10592:{dir:e,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,d],top:[8639,i,0.12,0,1.1]}},10593:{dir:e,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,d],bot:[8643,i,0.12,0,1.1]}}};for(var b in c){if(c.hasOwnProperty(b)){k[b]=c[b]}}MathJax.Ajax.loadComplete(g.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/jax/output/HTML-CSS/fonts/TeX/fontdata.js
index efa6983f4..dc4c4f8c8 100644
--- a/jax/output/HTML-CSS/fonts/TeX/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/TeX/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(g,k,l){var p="2.3";var f="MathJax_Main",j="MathJax_Main-bold",h="MathJax_Math-italic",m="MathJax_AMS",d="MathJax_Size1",c="MathJax_Size2",b="MathJax_Size3",a="MathJax_Size4";var n="H",e="V",i={load:"extra",dir:n},o={load:"extra",dir:e};g.Augment({FONTDATA:{version:p,TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[f,d,m],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,k.VARIANT.ITALIC]}},bold:{fonts:[j,d,m],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[h,"MathJax_Main-italic",f,d,m],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",j,d,m],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[m,f]},fraktur:{fonts:["MathJax_Fraktur",f,d,m]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",j,d,m],bold:true},script:{fonts:["MathJax_Script",f,d,m]},"bold-script":{fonts:["MathJax_Script",j,d,m],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",f,d,m]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",j,d,m],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",d,m],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",d,m],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",f,d,m]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",f],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",f]},"-tex-mathit":{fonts:["MathJax_Main-italic",h,f,d,m],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[m,f,d],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,k.VARIANT.NORMAL],8463:[8463,k.VARIANT.NORMAL]}},"-largeOp":{fonts:[c,d,f]},"-smallOp":{fonts:[d,f]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,k.VARIANT.DOUBLESTRUCK],8459:[72,k.VARIANT.SCRIPT],8460:[72,k.VARIANT.FRAKTUR],8461:[72,k.VARIANT.DOUBLESTRUCK],8462:[104,k.VARIANT.ITALIC],8464:[74,k.VARIANT.SCRIPT],8465:[73,k.VARIANT.FRAKTUR],8466:[76,k.VARIANT.SCRIPT],8469:[78,k.VARIANT.DOUBLESTRUCK],8473:[80,k.VARIANT.DOUBLESTRUCK],8474:[81,k.VARIANT.DOUBLESTRUCK],8475:[82,k.VARIANT.SCRIPT],8476:[82,k.VARIANT.FRAKTUR],8477:[82,k.VARIANT.DOUBLESTRUCK],8484:[90,k.VARIANT.DOUBLESTRUCK],8486:[937,k.VARIANT.NORMAL],8488:[90,k.VARIANT.FRAKTUR],8492:[66,k.VARIANT.SCRIPT],8493:[67,k.VARIANT.FRAKTUR],8496:[69,k.VARIANT.SCRIPT],8497:[70,k.VARIANT.SCRIPT],8499:[77,k.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,k.VARIANT.BOLD],[119834,119859,97,k.VARIANT.BOLD],[119860,119885,65,k.VARIANT.ITALIC],[119886,119911,97,k.VARIANT.ITALIC],[119912,119937,65,k.VARIANT.BOLDITALIC],[119938,119963,97,k.VARIANT.BOLDITALIC],[119964,119989,65,k.VARIANT.SCRIPT],[120068,120093,65,k.VARIANT.FRAKTUR],[120094,120119,97,k.VARIANT.FRAKTUR],[120120,120145,65,k.VARIANT.DOUBLESTRUCK],[120172,120197,65,k.VARIANT.BOLDFRAKTUR],[120198,120223,97,k.VARIANT.BOLDFRAKTUR],[120224,120249,65,k.VARIANT.SANSSERIF],[120250,120275,97,k.VARIANT.SANSSERIF],[120276,120301,65,k.VARIANT.BOLDSANSSERIF],[120302,120327,97,k.VARIANT.BOLDSANSSERIF],[120328,120353,65,k.VARIANT.SANSSERIFITALIC],[120354,120379,97,k.VARIANT.SANSSERIFITALIC],[120432,120457,65,k.VARIANT.MONOSPACE],[120458,120483,97,k.VARIANT.MONOSPACE],[120488,120513,913,k.VARIANT.BOLD],[120546,120570,913,k.VARIANT.ITALIC],[120572,120603,945,k.VARIANT.ITALIC],[120604,120628,913,k.VARIANT.BOLDITALIC],[120630,120661,945,k.VARIANT.BOLDITALIC],[120662,120686,913,k.VARIANT.BOLDSANSSERIF],[120720,120744,913,k.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,k.VARIANT.BOLD],[120802,120811,48,k.VARIANT.SANSSERIF],[120812,120821,48,k.VARIANT.BOLDSANSSERIF],[120822,120831,48,k.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(t,s){for(var r=0,q=this.PLANE1MAP.length;r<q;r++){if(t<this.PLANE1MAP[r][0]){break}if(t<=this.PLANE1MAP[r][1]){t=t-this.PLANE1MAP[r][0]+this.PLANE1MAP[r][2];if(this.REMAPGREEK[t]){t=this.REMAPGREEK[t]}s=this.VARIANT[this.PLANE1MAP[r][3]];break}}return{n:t,variant:s}},DELIMITERS:{40:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9115,a],ext:[9116,a],bot:[9117,a]}},41:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9118,a],ext:[9119,a],bot:[9120,a]}},47:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},91:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9121,a],ext:[9122,a],bot:[9123,a]}},92:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},93:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9124,a],ext:[9125,a],bot:[9126,a]}},123:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9127,a],mid:[9128,a],bot:[9129,a],ext:[9130,a]}},124:{dir:e,HW:[[1,f]],stretch:{ext:[8739,f]}},125:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9131,a],mid:[9132,a],bot:[9133,a],ext:[9130,a]}},175:{dir:n,HW:[[0.59,f]],stretch:{rep:[175,f]}},710:{dir:n,HW:[[0.267+0.25,f],[0.567+0.25,d],[1.005+0.33,c],[1.447+0.33,b],[1.909,a]]},732:{dir:n,HW:[[0.333+0.25,f],[0.555+0.25,d],[1+0.33,c],[1.443+0.33,b],[1.887,a]]},8214:{dir:e,HW:[[0.602,d],[1,f,null,8741]],stretch:{ext:[8741,f]}},8592:{dir:n,HW:[[1,f]],stretch:{left:[8592,f],rep:[8722,f]}},8593:{dir:e,HW:[[0.888,f]],stretch:{top:[8593,d],ext:[9168,d]}},8594:{dir:n,HW:[[1,f]],stretch:{rep:[8722,f],right:[8594,f]}},8595:{dir:e,HW:[[0.888,f]],stretch:{ext:[9168,d],bot:[8595,d]}},8596:{dir:n,HW:[[1,f]],stretch:{left:[8592,f],rep:[8722,f],right:[8594,f]}},8597:{dir:e,HW:[[1.044,f]],stretch:{top:[8593,d],ext:[9168,d],bot:[8595,d]}},8656:{dir:n,HW:[[1,f]],stretch:{left:[8656,f],rep:[61,f]}},8657:{dir:e,HW:[[0.888,f]],stretch:{top:[8657,d],ext:[8214,d]}},8658:{dir:n,HW:[[1,f]],stretch:{rep:[61,f],right:[8658,f]}},8659:{dir:e,HW:[[0.888,f]],stretch:{ext:[8214,d],bot:[8659,d]}},8660:{dir:n,HW:[[1,f]],stretch:{left:[8656,f],rep:[61,f],right:[8658,f]}},8661:{dir:e,HW:[[1.044,f]],stretch:{top:[8657,d],ext:[8214,d],bot:[8659,d]}},8722:{dir:n,HW:[[0.611,f]],stretch:{rep:[8722,f]}},8730:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[57345,a],ext:[57344,a],bot:[9143,a],fullExtenders:true}},8739:{dir:e,HW:[[1,f]],stretch:{ext:[8739,f]}},8741:{dir:e,HW:[[1,f]],stretch:{ext:[8741,f]}},8968:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9121,a],ext:[9122,a]}},8969:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9124,a],ext:[9125,a]}},8970:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{ext:[9122,a],bot:[9123,a]}},8971:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{ext:[9125,a],bot:[9126,a]}},9130:{dir:e,HW:[[0.32,a]],stretch:{top:[9130,a],ext:[9130,a],bot:[9130,a]}},9136:{dir:e,HW:[[0.989,f]],stretch:{top:[9127,a],ext:[9130,a],bot:[9133,a]}},9137:{dir:e,HW:[[0.989,f]],stretch:{top:[9131,a],ext:[9130,a],bot:[9129,a]}},9168:{dir:e,HW:[[0.602,d],[1,f,null,8739]],stretch:{ext:[8739,f]}},9182:{dir:n,HW:[],stretch:{min:0.9,left:[57680,a],mid:[[57683,57682],a],right:[57681,a],rep:[57684,a]}},9183:{dir:n,HW:[],stretch:{min:0.9,left:[57682,a],mid:[[57681,57680],a],right:[57683,a],rep:[57684,a]}},10216:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},10217:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},10222:{dir:e,HW:[[0.989,f]],stretch:{top:[9127,a],ext:[9130,a],bot:[9129,a]}},10223:{dir:e,HW:[[0.989,f]],stretch:{top:[9131,a],ext:[9130,a],bot:[9133,a]}},45:{alias:8722,dir:n},94:{alias:710,dir:n},95:{alias:8722,dir:n},126:{alias:732,dir:n},713:{alias:175,dir:n},770:{alias:710,dir:n},771:{alias:732,dir:n},780:{alias:711,dir:n},818:{alias:8722,dir:n},8213:{alias:8722,dir:n},8215:{alias:8722,dir:n},8254:{alias:175,dir:n},8725:{alias:47,dir:e},9001:{alias:10216,dir:e},9002:{alias:10217,dir:e},9135:{alias:8722,dir:n},9472:{alias:8722,dir:n},10072:{alias:8739,dir:e},12296:{alias:10216,dir:e},12297:{alias:10217,dir:e},65079:{alias:9182,dir:n},65080:{alias:9183,dir:n},61:i,8606:i,8608:i,8612:i,8613:o,8614:i,8615:o,8624:o,8625:o,8636:i,8637:i,8638:o,8639:o,8640:i,8641:i,8642:o,8643:o,8666:i,8667:i,9140:i,9141:i,9180:i,9181:i,9184:i,9185:i,10502:i,10503:i,10574:i,10575:o,10576:i,10577:o,10586:i,10587:i,10588:o,10589:o,10590:i,10591:i,10592:o,10593:o,10229:{alias:8592,dir:n},10230:{alias:8594,dir:n},10231:{alias:8596,dir:n},10232:{alias:8656,dir:n},10233:{alias:8658,dir:n},10234:{alias:8660,dir:n},10235:{alias:8612,dir:n},10236:{alias:8614,dir:n},10237:{alias:10502,dir:n},10238:{alias:10503,dir:n}}}});g.Font.oldLoadComplete=g.Font.loadComplete;g.Font.loadComplete=function(s,t,r,q){if(t!=null){this.oldLoadComplete(s,t,r,q)}if(s.family===d||s.family===c){if(s.version===1){g.FONTDATA.VARIANT["-largeOp"].remap={8898:8899,8899:8898};g.FONTDATA.VARIANT["-smallOp"].remap={8898:8899,8899:8898}}}};g.FONTDATA.FONTS.MathJax_Caligraphic={directory:"Caligraphic/Regular",family:"MathJax_Caligraphic",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[453,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,42,456],52:[464,194,500,28,471],53:[453,216,500,50,448],54:[665,22,500,42,456],55:[463,216,500,55,485],56:[666,21,500,43,456],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,32,664],67:[705,25,527,12,533],68:[683,0,771,19,766],69:[705,22,528,30,564],70:[683,32,719,18,829],71:[704,119,595,44,599],72:[683,48,845,18,803],73:[683,0,545,-30,642],74:[683,119,678,47,839],75:[705,22,762,32,732],76:[705,22,690,32,656],77:[705,50,1201,28,1137],78:[789,50,820,-27,979],79:[705,22,796,58,777],80:[683,57,696,19,733],81:[705,131,817,114,787],82:[682,22,848,19,837],83:[705,22,606,18,642],84:[717,68,545,34,833],85:[683,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[683,0,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};g.FONTDATA.FONTS["MathJax_Main-bold"]={directory:"Main/Bold",family:"MathJax_Main",weight:"bold",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[750,249,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[654,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,11,575,47,526],52:[656,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,526],55:[676,11,575,64,558],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,96,797],63:[700,-1,543,65,478],64:[699,6,894,64,829],65:[698,0,869,40,828],66:[686,0,818,39,752],67:[697,11,831,64,766],68:[686,0,882,39,817],69:[680,0,756,39,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[686,0,1092,39,1052],78:[686,0,900,39,860],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[696,193,864,64,805],82:[686,11,862,39,858],83:[697,11,639,64,574],84:[675,0,800,41,758],85:[686,11,885,39,845],86:[686,7,869,25,843],87:[686,7,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[686,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,6,639,29,600],99:[453,6,511,39,478],100:[694,6,639,38,609],101:[452,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[450,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,29,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,6,454,38,414],116:[635,5,447,21,382],117:[450,6,639,37,623],118:[444,3,607,26,580],119:[444,4,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[444,0,511,32,462],123:[750,250,575,70,504],124:[750,249,319,129,190],125:[750,250,575,70,504],126:[344,-202,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,0,831,51,779]};g.FONTDATA.FONTS["MathJax_Main-italic"]={directory:"Main/Italic",family:"MathJax_Main",style:"italic",testString:"MathJax Main ^ \u210F \u2223",Ranges:[[160,255,"Latin1Supplement"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"]],32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[750,56,818,145,847],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[750,-320,511,195,584],43:[557,57,767,139,753],44:[121,194,307,69,232],45:[251,-180,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[666,22,511,96,562],52:[666,194,511,46,478],53:[666,22,511,106,567],54:[665,22,511,120,565],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[716,0,511,195,551],64:[705,11,767,152,789],65:[716,0,743,58,696],66:[683,0,704,57,732],67:[705,21,716,150,812],68:[683,0,755,56,775],69:[680,0,678,54,743],70:[680,-1,653,54,731],71:[705,22,774,150,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[683,0,897,58,1010],78:[683,0,743,54,860],79:[704,22,767,149,788],80:[683,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[705,22,562,74,633],84:[677,0,716,171,806],85:[683,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[683,0,743,50,825],89:[683,0,743,198,875],90:[683,0,613,80,704],91:[750,250,307,73,446],93:[750,250,307,-14,359],94:[694,-527,511,260,528],95:[-25,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,469],100:[694,11,511,101,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,494],104:[694,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,498],108:[694,11,256,87,312],109:[442,11,818,75,851],110:[442,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,6,518],113:[442,194,460,101,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[626,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,11,664,75,696],120:[442,11,464,58,513],121:[441,205,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],163:[714,11,769,88,699],305:[441,10,307,75,340],567:[442,204,332,-32,327],915:[680,0,627,54,705],916:[716,0,818,70,751],920:[704,22,767,149,788],923:[716,0,692,58,646],926:[677,0,664,74,754],928:[680,0,743,54,859],931:[683,0,716,80,782],933:[705,0,767,213,832],934:[683,0,716,159,728],936:[683,0,767,207,824],937:[705,0,716,100,759]};g.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"]],32:[0,0,250,0,0],33:[716,-1,278,78,199],34:[694,-379,500,34,372],35:[694,194,833,56,777],36:[750,56,500,55,444],37:[750,56,833,56,776],38:[716,22,778,42,727],39:[694,-379,278,78,212],40:[750,250,389,94,333],41:[750,250,389,55,294],42:[750,-320,500,64,435],43:[583,82,778,56,722],44:[121,194,278,78,210],45:[252,-179,333,11,277],46:[120,0,278,78,199],47:[750,250,500,56,445],48:[666,22,500,39,460],49:[666,0,500,83,427],50:[666,0,500,50,449],51:[665,22,500,42,457],52:[677,0,500,28,471],53:[666,22,500,50,449],54:[666,22,500,42,456],55:[676,22,500,55,485],56:[666,22,500,43,457],57:[666,22,500,42,456],58:[430,0,278,78,199],59:[430,194,278,78,202],60:[540,40,778,83,694],61:[367,-133,778,56,722],62:[540,40,778,83,694],63:[705,-1,472,55,416],64:[705,11,778,56,722],65:[716,0,750,32,717],66:[683,0,708,28,651],67:[705,21,722,56,666],68:[683,0,764,27,708],69:[680,0,681,25,652],70:[680,0,653,25,610],71:[705,22,785,56,735],72:[683,0,750,25,724],73:[683,0,361,21,339],74:[683,22,514,25,465],75:[683,0,778,25,736],76:[683,0,625,25,582],77:[683,0,917,29,887],78:[683,0,750,25,724],79:[705,22,778,56,722],80:[683,0,681,27,624],81:[705,193,778,56,728],82:[683,22,736,27,732],83:[705,22,556,55,500],84:[677,0,722,36,685],85:[683,22,750,25,724],86:[683,22,750,19,730],87:[683,22,1028,18,1009],88:[683,0,750,23,726],89:[683,0,750,11,738],90:[683,0,611,55,560],91:[750,250,278,118,255],92:[750,250,500,56,444],93:[750,250,278,22,159],94:[694,-531,500,112,387],95:[-25,62,500,0,499],96:[699,-505,500,106,295],97:[448,11,500,34,493],98:[694,11,556,20,522],99:[448,11,444,34,415],100:[694,11,556,34,535],101:[448,11,444,28,415],102:[705,0,306,26,372],103:[453,206,500,29,485],104:[694,0,556,25,542],105:[669,0,278,26,255],106:[669,205,306,-55,218],107:[694,0,528,20,511],108:[694,0,278,26,263],109:[442,0,833,25,819],110:[442,0,556,25,542],111:[448,10,500,28,471],112:[442,194,556,20,522],113:[442,194,528,33,535],114:[442,0,392,20,364],115:[448,11,394,33,359],116:[615,10,389,18,333],117:[442,11,556,25,542],118:[431,11,528,19,508],119:[431,11,722,18,703],120:[431,0,528,11,516],121:[431,204,528,19,508],122:[431,0,444,28,401],123:[750,250,500,65,434],124:[750,249,278,119,159],125:[750,250,500,65,434],126:[318,-215,500,83,416],160:[0,0,250,0,0],168:[669,-554,500,95,404],172:[356,-89,667,56,611],175:[590,-544,500,69,430],176:[715,-542,500,147,352],177:[666,0,778,56,722],180:[699,-505,500,203,393],215:[491,-9,778,147,630],247:[537,36,778,56,721],305:[442,0,278,26,255],567:[442,205,306,-55,218],710:[694,-531,500,112,387],711:[644,-513,500,114,385],713:[590,-544,500,69,430],714:[699,-505,500,203,393],715:[699,-505,500,106,295],728:[694,-515,500,92,407],729:[669,-549,500,190,309],732:[668,-565,500,83,416],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677],8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[285,-248,500,0,499],8212:[285,-248,1000,0,999],8216:[694,-379,278,64,198],8217:[694,-379,278,78,212],8220:[694,-379,500,128,466],8221:[694,-379,500,34,372],8224:[705,216,444,55,389],8225:[705,205,444,55,389],8230:[120,0,1172,78,1093],8242:[560,-43,275,30,262],8407:[714,-516,0,-471,-29],8463:[695,13,540,42,562],8465:[705,10,722,55,693],8467:[705,20,417,6,397],8472:[453,216,636,67,625],8476:[716,22,722,40,715],8501:[694,0,611,55,555],8592:[511,11,1000,55,944],8593:[694,193,500,17,483],8594:[511,11,1000,56,944],8595:[694,194,500,17,483],8596:[511,11,1000,55,944],8597:[772,272,500,17,483],8598:[720,195,1000,29,944],8599:[720,195,1000,55,970],8600:[695,220,1000,55,970],8601:[695,220,1000,29,944],8614:[511,11,1000,55,944],8617:[511,11,1126,55,1070],8618:[511,11,1126,55,1070],8636:[511,-230,1000,55,944],8637:[270,11,1000,55,944],8640:[511,-230,1000,56,944],8641:[270,11,1000,56,944],8652:[671,11,1000,55,944],8656:[525,24,1000,56,944],8657:[694,194,611,31,579],8658:[525,24,1000,56,944],8659:[694,194,611,31,579],8660:[526,25,1000,34,966],8661:[772,272,611,31,579],8704:[694,22,556,0,556],8706:[715,22,531,42,566],8707:[694,0,556,56,500],8709:[772,78,500,39,460],8711:[683,33,833,46,786],8712:[540,40,667,84,583],8713:[716,215,667,84,583],8715:[540,40,667,83,582],8722:[270,-230,778,84,694],8723:[500,166,778,56,722],8725:[750,250,500,56,445],8726:[750,250,500,56,444],8727:[465,-35,500,64,435],8728:[444,-55,500,55,444],8729:[444,-55,500,55,444],8730:[800,200,833,72,853],8733:[442,11,778,56,722],8734:[442,11,1000,55,944],8736:[694,0,722,55,666],8739:[750,249,278,119,159],8741:[750,250,500,132,367],8743:[598,22,667,55,611],8744:[598,22,667,55,611],8745:[598,22,667,55,611],8746:[598,22,667,55,611],8747:[716,216,417,55,472],8764:[367,-133,778,55,722],8768:[583,83,278,55,222],8771:[464,-36,778,55,722],8773:[589,-22,1000,55,722],8776:[483,-55,778,55,722],8781:[484,-16,778,55,722],8784:[670,-133,778,56,722],8800:[716,215,778,56,722],8801:[464,-36,778,56,722],8804:[636,138,778,83,694],8805:[636,138,778,83,694],8810:[568,67,1000,56,944],8811:[567,67,1000,55,944],8826:[539,41,778,84,694],8827:[539,41,778,83,694],8834:[540,40,778,84,694],8835:[540,40,778,83,693],8838:[636,138,778,84,694],8839:[636,138,778,83,693],8846:[598,22,667,55,611],8849:[636,138,778,84,714],8850:[636,138,778,64,694],8851:[598,0,667,61,605],8852:[598,0,667,61,605],8853:[583,83,778,56,722],8854:[583,83,778,56,722],8855:[583,83,778,56,722],8856:[583,83,778,56,722],8857:[583,83,778,56,722],8866:[694,0,611,55,555],8867:[694,0,611,55,555],8868:[668,0,778,55,723],8869:[668,0,778,55,723],8872:[750,249,867,119,811],8900:[488,-12,500,12,488],8901:[310,-190,278,78,199],8902:[486,-16,500,3,497],8904:[505,5,900,26,873],8942:[900,30,278,78,199],8943:[310,-190,1172,78,1093],8945:[820,-100,1282,133,1148],8968:[750,250,444,174,422],8969:[750,250,444,21,269],8970:[750,250,444,174,422],8971:[750,250,444,21,269],8994:[388,-122,1000,55,944],8995:[378,-134,1000,55,944],9136:[744,244,412,55,357],9137:[744,244,412,56,357],10216:[750,250,389,110,333],10217:[750,250,389,55,278],10222:[744,244,412,173,357],10223:[744,244,412,56,240],10229:[511,11,1609,55,1525],10230:[511,11,1638,84,1553],10231:[511,11,1859,55,1803],10232:[525,24,1609,56,1553],10233:[525,24,1638,56,1582],10234:[525,24,1858,56,1802],10236:[511,11,1638,55,1553],10815:[683,0,750,28,721],10927:[636,138,778,84,694],10928:[636,138,778,83,694]};g.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",style:"italic",testString:"MathJax Math \u03A5",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],47:[716,215,778,139,638],65:[716,0,750,35,726],66:[683,0,759,35,756],67:[705,22,715,50,760],68:[683,0,828,33,803],69:[680,0,738,31,764],70:[680,0,643,31,749],71:[705,22,786,50,760],72:[683,0,831,31,888],73:[683,0,440,26,504],74:[683,22,555,57,633],75:[683,0,849,31,889],76:[683,0,681,32,647],77:[683,0,970,35,1051],78:[683,0,803,31,888],79:[704,22,763,50,740],80:[683,0,642,33,751],81:[704,194,791,50,740],82:[683,21,759,33,755],83:[705,22,613,52,645],84:[677,0,584,21,704],85:[683,22,683,60,767],86:[683,22,583,52,769],87:[683,22,944,51,1048],88:[683,0,828,26,852],89:[683,-1,581,30,763],90:[683,0,683,58,723],97:[441,10,529,33,506],98:[694,11,429,40,422],99:[442,11,433,34,429],100:[694,10,520,33,523],101:[442,11,466,39,429],102:[705,205,490,55,550],103:[442,205,477,10,480],104:[694,11,576,48,555],105:[661,11,345,21,302],106:[661,204,412,-12,403],107:[694,11,521,48,503],108:[694,11,298,38,266],109:[442,11,878,21,857],110:[442,11,600,21,580],111:[441,11,485,34,476],112:[442,194,503,-39,497],113:[442,194,446,33,460],114:[442,11,451,21,430],115:[442,10,469,53,419],116:[626,11,361,19,330],117:[442,11,572,21,551],118:[443,11,485,21,467],119:[443,11,716,21,690],120:[442,11,572,35,522],121:[442,205,490,21,496],122:[442,11,465,35,468],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[677,0,742,53,777],928:[680,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};g.FONTDATA.FONTS.MathJax_Size1={directory:"Size1/Regular",family:"MathJax_Size1",testString:"() [] {}",32:[0,0,250,0,0],40:[850,349,458,152,422],41:[850,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,105,477],125:[850,349,583,105,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[750,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,55,777],8899:[750,249,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,249,833,55,777],10758:[750,249,833,55,777]};g.FONTDATA.FONTS.MathJax_Size2={directory:"Size2/Regular",family:"MathJax_Size2",testString:"() [] {}",32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1150,649,597,35,416],47:[1150,649,811,56,754],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1150,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1360,862,1084,55,1472],8749:[1360,862,1592,55,1980],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};g.FONTDATA.FONTS.MathJax_Size3={directory:"Size3/Regular",family:"MathJax_Size3",testString:"() [] {}",32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1450,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1450,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,950,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,949,750,94,623]};g.FONTDATA.FONTS.MathJax_Size4={directory:"Size4/Regular",family:"MathJax_Size4",testString:"() [] {}",32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1750,1249,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,661],125:[1750,1249,806,144,661],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1250,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1154,655,875,291,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1154,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,644,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,384,718],9128:[1160,660,889,170,504],9129:[10,899,889,384,718],9130:[310,10,889,384,504],9131:[899,10,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,504],9143:[935,885,1056,111,742],10216:[1750,1248,806,140,703],10217:[1750,1248,806,103,665],57344:[625,14,1056,702,742],57345:[605,14,1056,702,1076],57680:[120,213,450,-24,460],57681:[120,213,450,-10,474],57682:[333,0,450,-24,460],57683:[333,0,450,-10,474],57684:[120,0,400,-10,410]};g.FONTDATA.FONTS.MathJax_Main[8942][0]+=400;g.FONTDATA.FONTS.MathJax_Main[8945][0]+=700;g.FONTDATA.FONTS.MathJax_Size4[57684][0]+=200;g.FONTDATA.FONTS.MathJax_Size4[57684][1]+=200;g.FONTDATA.FONTS.MathJax_Main[8722][1]+=100;g.FONTDATA.FONTS.MathJax_Main[61][1]+=100;g.FONTDATA.FONTS.MathJax_Main[8773][2]-=222;g.FONTDATA.FONTS.MathJax_Main[8773][5]={rfix:-222};MathJax.Hub.Register.LoadHook(g.fontDir+"/Main/Bold/MathOperators.js",function(){g.FONTDATA.FONTS["MathJax_Main-bold"][8773][2]-=106;g.FONTDATA.FONTS["MathJax_Main-bold"][8773][5]={rfix:-106}});MathJax.Hub.Register.LoadHook(g.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){g.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275;g.FONTDATA.FONTS.MathJax_Typewriter[32][5]={rfix:275}});MathJax.Hub.Insert(g.FONTDATA.FONTS.MathJax_Main,{61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});if(!g.imgFonts){MathJax.Hub.Browser.Select({MSIE:function(s){if(g.config.availableFonts&&g.config.availableFonts.length){g.FONTDATA.REMAP[713]=175;g.FONTDATA.REMAP[714]=180;g.FONTDATA.REMAP[715]=96;g.FONTDATA.REMAP[730]=176;var r=String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923);g.FONTDATA.RANGES.push({name:"IEgreek",low:945,high:969,offset:"IEG",add:32});g.FONTDATA.RANGES.push({name:"IEGreek",low:913,high:1014,offset:"IEG"});if(g.Font.testFont({family:"MathJax_Greek",testString:r})){g.Augment({FONTDATA:{VARIANT:{normal:{offsetIEG:913,variantIEG:"-Greek"},fraktur:{offsetIEG:913,variantIEG:"-Greek"},script:{offsetIEG:913,variantIEG:"-Greek"},"-tex-caligraphic":{offsetIEG:913,variantIEG:"-Greek"},"-tex-oldstyle":{offsetIEG:913,variantIEG:"-Greek"},"-Greek":{fonts:["MathJax_Greek"]}}}});g.FONTDATA.FONTS.MathJax_Greek={directory:"Greek/Regular",family:"MathJax_Greek",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677]}}if(g.Font.testFont({family:"MathJax_Greek",weight:"bold",testString:r})){g.Augment({FONTDATA:{VARIANT:{bold:{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-fraktur":{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-script":{offsetIEG:913,variantIEG:"-Greek-Bold"},"-Greek-Bold":{fonts:["MathJax_Greek-bold"]}}}});g.FONTDATA.FONTS["MathJax_Greek-bold"]={directory:"Greek/Bold",family:"MathJax_Greek",weight:"bold",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,64,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,779]}}if(g.Font.testFont({family:"MathJax_Greek",style:"italic",testString:r})){g.Augment({FONTDATA:{VARIANT:{italic:{offsetIEG:913,variantIEG:"-Greek-Italic"},"-Greek-Italic":{fonts:["MathJax_Greek-italic"]}}}});g.FONTDATA.FONTS["MathJax_Greek-italic"]={directory:"Greek/Italic",family:"MathJax_Greek",style:"italic",testString:"\u0393 \u03A5 \u039B",skew:{915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[678,0,742,53,777],928:[681,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]}}if(g.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:r})){g.Augment({FONTDATA:{VARIANT:{"bold-italic":{offsetG:913,variantG:"-Greek-Bold-Italic"},"-Greek-Bold-Italic":{fonts:["MathJax_Greek-bold-italic"]}},FONTS:{"MathJax_Greek-bold-italic":"Greek/BoldItalic/Main.js"}}})}}if(g.msieIE6){var u="MathJax_WinIE6";g.FONTDATA.FONTS[u]="WinIE6/Regular/Main.js";g.FONTDATA.RANGES.push({name:"arrows",low:8592,high:8601,offset:"AR"});var t={variant:"-WinIE6",8658:57866,8660:57867,8704:57868,8706:57869,8707:57870,8711:57871,8712:57872,8715:57873,8725:57874,8730:57875,8733:57876,8734:57877,8736:57878,8739:57879,8741:57880,8743:57881,8744:57882,8745:57883,8746:57884,8747:57885,8764:57886,8776:57887,8800:57888,8801:57889,8804:57890,8805:57891,8810:57892,8811:57893,8834:57894,8835:57895,8838:57896,8839:57897,8853:57898,8857:57899,8869:57900,9651:57901,9661:57902,9711:57903,9824:57904,9825:57905,9826:57906,9827:57907,9837:57908,9838:57909,9839:57910,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var w={variant:"-WinIE6",8658:57930,8660:57931,8704:57932,8706:57933,8707:57934,8711:57935,8712:57936,8715:57937,8725:57938,8730:57939,8733:57940,8734:57941,8736:57942,8739:57943,8741:57944,8743:57945,8744:57946,8745:57947,8746:57948,8747:57949,8764:57950,8776:57951,8800:57952,8801:57953,8804:57954,8805:57955,8810:57956,8811:57957,8834:57958,8835:57959,8838:57960,8839:57961,8853:57962,8857:57963,8869:57964,9651:57965,9661:57966,9711:57967,9824:57968,9825:57969,9826:57970,9827:57971,9837:57972,9838:57973,9839:57974,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var q={offsetAR:57856,variantAR:"-WinIE6",remap:t};var v={offsetAR:57920,variantAR:"-WinIE6",remap:w};g.Augment({FONTDATA:{VARIANT:{normal:q,bold:v,italic:q,"bold-italic":v,"-TeX-variant":{remap:{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]}},"-largeOp":{fonts:[u,c,d,f],remap:{8719:58000,8721:58001,8747:58005,8750:58006}},"-smallOp":{fonts:[u,d,f],remap:{8719:57984,8721:57985,8747:57989,8750:57990}},"-WinIE6":{fonts:[u]}},DELIMITERS:{8730:{HW:{0:[1,u,null,57875],1:[1.2,u,null,57986],2:[1.8,u,null,58002],3:[2.4,u,null,58018],4:[3,u,null,58034]}},124:{stretch:{ext:[57879,u]}},8739:{HW:{0:[1,u,null,57879]},stretch:{ext:[57879,u]}},9168:{HW:{1:[1,u,null,57879]},stretch:{ext:[57879,u]}},8741:{HW:{0:[1,u,null,57880]},stretch:{ext:[57880,u]}},8592:{HW:{0:[0.889,u,null,57856]},stretch:{left:[57856,u]}},8593:{HW:{0:[0.888,u,null,57857]},stretch:{top:[57991,u],ext:[57993,u]}},8594:{HW:{0:[0.889,u,null,57858]},stretch:{right:[57858,u]}},8595:{HW:{0:[0.888,u,null,57859]},stretch:{bot:[57992,u],ext:[57993,u]}},8596:{HW:{0:[1,u,null,57860]},stretch:{left:[57856,u],right:[57858,u]}},8597:{HW:{0:[1.044,u,null,57859]},stretch:{top:[57991,u],bot:[57992,u],ext:[57993,u]}}}}})}},Chrome:function(r){if(r.isPC&&navigator.userAgent.match(/Windows NT (5|6.0)/)){g.Augment({FONTDATA:{REMAP:{824:"\uEEE0/\uEEE8"},REMAPACCENT:{"\u0307":".","\u030B":"\u00B4\uEEE1\u00B4","\u20D7":"\u2192"}}});delete g.FONTDATA.REMAPACCENT["\u2192"]}if(r.isPC&&!MathJax.Hub.Browser.versionAtLeast("5.0")){var q="-WinChrome";g.Augment({FONTDATA:{VARIANT:{normal:{remap:{62:[62,q]}},bold:{remap:{58097:[62,q]}},italic:{remap:{100:[100,q]}},"-tex-caligraphic":{remap:{84:[84,q]}},"-tex-caligraphic-bold":{remap:{84:[58096,q]}},"-largeOp":{remap:{10752:[10752,q]}},"-smallOp":{remap:{8899:[8899,q]}},"-WinChrome":{fonts:["MathJax_WinChrome"]}},DELIMITERS:{93:{stretch:{bot:[9126,"MathJax_WinChrome"]}},8971:{stretch:{bot:[9126,"MathJax_WinChrome"]}}}}});g.FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var t=g.FONTDATA.FONTS,s=g.config.availableFonts;var r,q=[];if(g.allowWebFonts){for(r in t){if(t[r].family){if(s&&s.length&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}else{t[r].isWebFont=true;if(g.FontFaceBug){t[r].family=r}q.push(g.Font.fontFace(r))}}}if(!g.config.preloadWebFonts){g.config.preloadWebFonts=[]}g.config.preloadWebFonts.push(f,h,d);if(q.length){g.config.styles["@font-face"]=q}}else{if(s&&s.length){for(r in t){if(t[r].family&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}}}}})();l.loadComplete(g.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(g,k,l){var p="2.4-beta";var f="MathJax_Main",j="MathJax_Main-bold",h="MathJax_Math-italic",m="MathJax_AMS",d="MathJax_Size1",c="MathJax_Size2",b="MathJax_Size3",a="MathJax_Size4";var n="H",e="V",i={load:"extra",dir:n},o={load:"extra",dir:e};g.Augment({FONTDATA:{version:p,TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[f,d,m],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,k.VARIANT.ITALIC]}},bold:{fonts:[j,d,m],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[h,"MathJax_Main-italic",f,d,m],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",j,d,m],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[m,f]},fraktur:{fonts:["MathJax_Fraktur",f,d,m]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",j,d,m],bold:true},script:{fonts:["MathJax_Script",f,d,m]},"bold-script":{fonts:["MathJax_Script",j,d,m],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",f,d,m]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",j,d,m],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",d,m],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",d,m],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",f,d,m]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",f],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",f]},"-tex-mathit":{fonts:["MathJax_Main-italic",h,f,d,m],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[m,f,d],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,k.VARIANT.NORMAL],8463:[8463,k.VARIANT.NORMAL]}},"-largeOp":{fonts:[c,d,f]},"-smallOp":{fonts:[d,f]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,k.VARIANT.DOUBLESTRUCK],8459:[72,k.VARIANT.SCRIPT],8460:[72,k.VARIANT.FRAKTUR],8461:[72,k.VARIANT.DOUBLESTRUCK],8462:[104,k.VARIANT.ITALIC],8464:[74,k.VARIANT.SCRIPT],8465:[73,k.VARIANT.FRAKTUR],8466:[76,k.VARIANT.SCRIPT],8469:[78,k.VARIANT.DOUBLESTRUCK],8473:[80,k.VARIANT.DOUBLESTRUCK],8474:[81,k.VARIANT.DOUBLESTRUCK],8475:[82,k.VARIANT.SCRIPT],8476:[82,k.VARIANT.FRAKTUR],8477:[82,k.VARIANT.DOUBLESTRUCK],8484:[90,k.VARIANT.DOUBLESTRUCK],8486:[937,k.VARIANT.NORMAL],8488:[90,k.VARIANT.FRAKTUR],8492:[66,k.VARIANT.SCRIPT],8493:[67,k.VARIANT.FRAKTUR],8496:[69,k.VARIANT.SCRIPT],8497:[70,k.VARIANT.SCRIPT],8499:[77,k.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,k.VARIANT.BOLD],[119834,119859,97,k.VARIANT.BOLD],[119860,119885,65,k.VARIANT.ITALIC],[119886,119911,97,k.VARIANT.ITALIC],[119912,119937,65,k.VARIANT.BOLDITALIC],[119938,119963,97,k.VARIANT.BOLDITALIC],[119964,119989,65,k.VARIANT.SCRIPT],[120068,120093,65,k.VARIANT.FRAKTUR],[120094,120119,97,k.VARIANT.FRAKTUR],[120120,120145,65,k.VARIANT.DOUBLESTRUCK],[120172,120197,65,k.VARIANT.BOLDFRAKTUR],[120198,120223,97,k.VARIANT.BOLDFRAKTUR],[120224,120249,65,k.VARIANT.SANSSERIF],[120250,120275,97,k.VARIANT.SANSSERIF],[120276,120301,65,k.VARIANT.BOLDSANSSERIF],[120302,120327,97,k.VARIANT.BOLDSANSSERIF],[120328,120353,65,k.VARIANT.SANSSERIFITALIC],[120354,120379,97,k.VARIANT.SANSSERIFITALIC],[120432,120457,65,k.VARIANT.MONOSPACE],[120458,120483,97,k.VARIANT.MONOSPACE],[120488,120513,913,k.VARIANT.BOLD],[120546,120570,913,k.VARIANT.ITALIC],[120572,120603,945,k.VARIANT.ITALIC],[120604,120628,913,k.VARIANT.BOLDITALIC],[120630,120661,945,k.VARIANT.BOLDITALIC],[120662,120686,913,k.VARIANT.BOLDSANSSERIF],[120720,120744,913,k.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,k.VARIANT.BOLD],[120802,120811,48,k.VARIANT.SANSSERIF],[120812,120821,48,k.VARIANT.BOLDSANSSERIF],[120822,120831,48,k.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(t,s){for(var r=0,q=this.PLANE1MAP.length;r<q;r++){if(t<this.PLANE1MAP[r][0]){break}if(t<=this.PLANE1MAP[r][1]){t=t-this.PLANE1MAP[r][0]+this.PLANE1MAP[r][2];if(this.REMAPGREEK[t]){t=this.REMAPGREEK[t]}s=this.VARIANT[this.PLANE1MAP[r][3]];break}}return{n:t,variant:s}},DELIMITERS:{40:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9115,a],ext:[9116,a],bot:[9117,a]}},41:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9118,a],ext:[9119,a],bot:[9120,a]}},47:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},91:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9121,a],ext:[9122,a],bot:[9123,a]}},92:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},93:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9124,a],ext:[9125,a],bot:[9126,a]}},123:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9127,a],mid:[9128,a],bot:[9129,a],ext:[9130,a]}},124:{dir:e,HW:[[1,f]],stretch:{ext:[8739,f]}},125:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9131,a],mid:[9132,a],bot:[9133,a],ext:[9130,a]}},175:{dir:n,HW:[[0.59,f]],stretch:{rep:[175,f]}},710:{dir:n,HW:[[0.267+0.25,f],[0.567+0.25,d],[1.005+0.33,c],[1.447+0.33,b],[1.909,a]]},732:{dir:n,HW:[[0.333+0.25,f],[0.555+0.25,d],[1+0.33,c],[1.443+0.33,b],[1.887,a]]},8214:{dir:e,HW:[[0.602,d],[1,f,null,8741]],stretch:{ext:[8741,f]}},8592:{dir:n,HW:[[1,f]],stretch:{left:[8592,f],rep:[8722,f]}},8593:{dir:e,HW:[[0.888,f]],stretch:{top:[8593,d],ext:[9168,d]}},8594:{dir:n,HW:[[1,f]],stretch:{rep:[8722,f],right:[8594,f]}},8595:{dir:e,HW:[[0.888,f]],stretch:{ext:[9168,d],bot:[8595,d]}},8596:{dir:n,HW:[[1,f]],stretch:{left:[8592,f],rep:[8722,f],right:[8594,f]}},8597:{dir:e,HW:[[1.044,f]],stretch:{top:[8593,d],ext:[9168,d],bot:[8595,d]}},8656:{dir:n,HW:[[1,f]],stretch:{left:[8656,f],rep:[61,f]}},8657:{dir:e,HW:[[0.888,f]],stretch:{top:[8657,d],ext:[8214,d]}},8658:{dir:n,HW:[[1,f]],stretch:{rep:[61,f],right:[8658,f]}},8659:{dir:e,HW:[[0.888,f]],stretch:{ext:[8214,d],bot:[8659,d]}},8660:{dir:n,HW:[[1,f]],stretch:{left:[8656,f],rep:[61,f],right:[8658,f]}},8661:{dir:e,HW:[[1.044,f]],stretch:{top:[8657,d],ext:[8214,d],bot:[8659,d]}},8722:{dir:n,HW:[[0.611,f]],stretch:{rep:[8722,f]}},8730:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[57345,a],ext:[57344,a],bot:[9143,a],fullExtenders:true}},8739:{dir:e,HW:[[1,f]],stretch:{ext:[8739,f]}},8741:{dir:e,HW:[[1,f]],stretch:{ext:[8741,f]}},8968:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9121,a],ext:[9122,a]}},8969:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{top:[9124,a],ext:[9125,a]}},8970:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{ext:[9122,a],bot:[9123,a]}},8971:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]],stretch:{ext:[9125,a],bot:[9126,a]}},9130:{dir:e,HW:[[0.32,a]],stretch:{top:[9130,a],ext:[9130,a],bot:[9130,a]}},9136:{dir:e,HW:[[0.989,f]],stretch:{top:[9127,a],ext:[9130,a],bot:[9133,a]}},9137:{dir:e,HW:[[0.989,f]],stretch:{top:[9131,a],ext:[9130,a],bot:[9129,a]}},9168:{dir:e,HW:[[0.602,d],[1,f,null,8739]],stretch:{ext:[8739,f]}},9182:{dir:n,HW:[],stretch:{min:0.9,left:[57680,a],mid:[[57683,57682],a],right:[57681,a],rep:[57684,a]}},9183:{dir:n,HW:[],stretch:{min:0.9,left:[57682,a],mid:[[57681,57680],a],right:[57683,a],rep:[57684,a]}},10216:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},10217:{dir:e,HW:[[1,f],[1.2,d],[1.8,c],[2.4,b],[3,a]]},10222:{dir:e,HW:[[0.989,f]],stretch:{top:[9127,a],ext:[9130,a],bot:[9129,a]}},10223:{dir:e,HW:[[0.989,f]],stretch:{top:[9131,a],ext:[9130,a],bot:[9133,a]}},45:{alias:8722,dir:n},94:{alias:710,dir:n},95:{alias:8722,dir:n},126:{alias:732,dir:n},713:{alias:175,dir:n},770:{alias:710,dir:n},771:{alias:732,dir:n},780:{alias:711,dir:n},818:{alias:8722,dir:n},8213:{alias:8722,dir:n},8215:{alias:8722,dir:n},8254:{alias:175,dir:n},8725:{alias:47,dir:e},9001:{alias:10216,dir:e},9002:{alias:10217,dir:e},9135:{alias:8722,dir:n},9472:{alias:8722,dir:n},10072:{alias:8739,dir:e},12296:{alias:10216,dir:e},12297:{alias:10217,dir:e},65079:{alias:9182,dir:n},65080:{alias:9183,dir:n},61:i,8606:i,8608:i,8612:i,8613:o,8614:i,8615:o,8624:o,8625:o,8636:i,8637:i,8638:o,8639:o,8640:i,8641:i,8642:o,8643:o,8666:i,8667:i,9140:i,9141:i,9180:i,9181:i,9184:i,9185:i,10502:i,10503:i,10574:i,10575:o,10576:i,10577:o,10586:i,10587:i,10588:o,10589:o,10590:i,10591:i,10592:o,10593:o,10229:{alias:8592,dir:n},10230:{alias:8594,dir:n},10231:{alias:8596,dir:n},10232:{alias:8656,dir:n},10233:{alias:8658,dir:n},10234:{alias:8660,dir:n},10235:{alias:8612,dir:n},10236:{alias:8614,dir:n},10237:{alias:10502,dir:n},10238:{alias:10503,dir:n}}}});g.Font.oldLoadComplete=g.Font.loadComplete;g.Font.loadComplete=function(s,t,r,q){if(t!=null){this.oldLoadComplete(s,t,r,q)}if(s.family===d||s.family===c){if(s.version===1){g.FONTDATA.VARIANT["-largeOp"].remap={8898:8899,8899:8898};g.FONTDATA.VARIANT["-smallOp"].remap={8898:8899,8899:8898}}}};g.FONTDATA.FONTS.MathJax_Caligraphic={directory:"Caligraphic/Regular",family:"MathJax_Caligraphic",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[453,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,42,456],52:[464,194,500,28,471],53:[453,216,500,50,448],54:[665,22,500,42,456],55:[463,216,500,55,485],56:[666,21,500,43,456],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,32,664],67:[705,25,527,12,533],68:[683,0,771,19,766],69:[705,22,528,30,564],70:[683,32,719,18,829],71:[704,119,595,44,599],72:[683,48,845,18,803],73:[683,0,545,-30,642],74:[683,119,678,47,839],75:[705,22,762,32,732],76:[705,22,690,32,656],77:[705,50,1201,28,1137],78:[789,50,820,-27,979],79:[705,22,796,58,777],80:[683,57,696,19,733],81:[705,131,817,114,787],82:[682,22,848,19,837],83:[705,22,606,18,642],84:[717,68,545,34,833],85:[683,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[683,0,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};g.FONTDATA.FONTS["MathJax_Main-bold"]={directory:"Main/Bold",family:"MathJax_Main",weight:"bold",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[750,249,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[654,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,11,575,47,526],52:[656,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,526],55:[676,11,575,64,558],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,96,797],63:[700,-1,543,65,478],64:[699,6,894,64,829],65:[698,0,869,40,828],66:[686,0,818,39,752],67:[697,11,831,64,766],68:[686,0,882,39,817],69:[680,0,756,39,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[686,0,1092,39,1052],78:[686,0,900,39,860],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[696,193,864,64,805],82:[686,11,862,39,858],83:[697,11,639,64,574],84:[675,0,800,41,758],85:[686,11,885,39,845],86:[686,7,869,25,843],87:[686,7,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[686,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,6,639,29,600],99:[453,6,511,39,478],100:[694,6,639,38,609],101:[452,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[450,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,29,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,6,454,38,414],116:[635,5,447,21,382],117:[450,6,639,37,623],118:[444,3,607,26,580],119:[444,4,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[444,0,511,32,462],123:[750,250,575,70,504],124:[750,249,319,129,190],125:[750,250,575,70,504],126:[344,-202,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,0,831,51,779]};g.FONTDATA.FONTS["MathJax_Main-italic"]={directory:"Main/Italic",family:"MathJax_Main",style:"italic",testString:"MathJax Main ^ \u210F \u2223",Ranges:[[160,255,"Latin1Supplement"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"]],32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[750,56,818,145,847],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[750,-320,511,195,584],43:[557,57,767,139,753],44:[121,194,307,69,232],45:[251,-180,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[666,22,511,96,562],52:[666,194,511,46,478],53:[666,22,511,106,567],54:[665,22,511,120,565],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[716,0,511,195,551],64:[705,11,767,152,789],65:[716,0,743,58,696],66:[683,0,704,57,732],67:[705,21,716,150,812],68:[683,0,755,56,775],69:[680,0,678,54,743],70:[680,-1,653,54,731],71:[705,22,774,150,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[683,0,897,58,1010],78:[683,0,743,54,860],79:[704,22,767,149,788],80:[683,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[705,22,562,74,633],84:[677,0,716,171,806],85:[683,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[683,0,743,50,825],89:[683,0,743,198,875],90:[683,0,613,80,704],91:[750,250,307,73,446],93:[750,250,307,-14,359],94:[694,-527,511,260,528],95:[-25,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,469],100:[694,11,511,101,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,494],104:[694,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,498],108:[694,11,256,87,312],109:[442,11,818,75,851],110:[442,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,6,518],113:[442,194,460,101,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[626,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,11,664,75,696],120:[442,11,464,58,513],121:[441,205,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],163:[714,11,769,88,699],305:[441,10,307,75,340],567:[442,204,332,-32,327],915:[680,0,627,54,705],916:[716,0,818,70,751],920:[704,22,767,149,788],923:[716,0,692,58,646],926:[677,0,664,74,754],928:[680,0,743,54,859],931:[683,0,716,80,782],933:[705,0,767,213,832],934:[683,0,716,159,728],936:[683,0,767,207,824],937:[705,0,716,100,759]};g.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"]],32:[0,0,250,0,0],33:[716,-1,278,78,199],34:[694,-379,500,34,372],35:[694,194,833,56,777],36:[750,56,500,55,444],37:[750,56,833,56,776],38:[716,22,778,42,727],39:[694,-379,278,78,212],40:[750,250,389,94,333],41:[750,250,389,55,294],42:[750,-320,500,64,435],43:[583,82,778,56,722],44:[121,194,278,78,210],45:[252,-179,333,11,277],46:[120,0,278,78,199],47:[750,250,500,56,445],48:[666,22,500,39,460],49:[666,0,500,83,427],50:[666,0,500,50,449],51:[665,22,500,42,457],52:[677,0,500,28,471],53:[666,22,500,50,449],54:[666,22,500,42,456],55:[676,22,500,55,485],56:[666,22,500,43,457],57:[666,22,500,42,456],58:[430,0,278,78,199],59:[430,194,278,78,202],60:[540,40,778,83,694],61:[367,-133,778,56,722],62:[540,40,778,83,694],63:[705,-1,472,55,416],64:[705,11,778,56,722],65:[716,0,750,32,717],66:[683,0,708,28,651],67:[705,21,722,56,666],68:[683,0,764,27,708],69:[680,0,681,25,652],70:[680,0,653,25,610],71:[705,22,785,56,735],72:[683,0,750,25,724],73:[683,0,361,21,339],74:[683,22,514,25,465],75:[683,0,778,25,736],76:[683,0,625,25,582],77:[683,0,917,29,887],78:[683,0,750,25,724],79:[705,22,778,56,722],80:[683,0,681,27,624],81:[705,193,778,56,728],82:[683,22,736,27,732],83:[705,22,556,55,500],84:[677,0,722,36,685],85:[683,22,750,25,724],86:[683,22,750,19,730],87:[683,22,1028,18,1009],88:[683,0,750,23,726],89:[683,0,750,11,738],90:[683,0,611,55,560],91:[750,250,278,118,255],92:[750,250,500,56,444],93:[750,250,278,22,159],94:[694,-531,500,112,387],95:[-25,62,500,0,499],96:[699,-505,500,106,295],97:[448,11,500,34,493],98:[694,11,556,20,522],99:[448,11,444,34,415],100:[694,11,556,34,535],101:[448,11,444,28,415],102:[705,0,306,26,372],103:[453,206,500,29,485],104:[694,0,556,25,542],105:[669,0,278,26,255],106:[669,205,306,-55,218],107:[694,0,528,20,511],108:[694,0,278,26,263],109:[442,0,833,25,819],110:[442,0,556,25,542],111:[448,10,500,28,471],112:[442,194,556,20,522],113:[442,194,528,33,535],114:[442,0,392,20,364],115:[448,11,394,33,359],116:[615,10,389,18,333],117:[442,11,556,25,542],118:[431,11,528,19,508],119:[431,11,722,18,703],120:[431,0,528,11,516],121:[431,204,528,19,508],122:[431,0,444,28,401],123:[750,250,500,65,434],124:[750,249,278,119,159],125:[750,250,500,65,434],126:[318,-215,500,83,416],160:[0,0,250,0,0],168:[669,-554,500,95,404],172:[356,-89,667,56,611],175:[590,-544,500,69,430],176:[715,-542,500,147,352],177:[666,0,778,56,722],180:[699,-505,500,203,393],215:[491,-9,778,147,630],247:[537,36,778,56,721],305:[442,0,278,26,255],567:[442,205,306,-55,218],710:[694,-531,500,112,387],711:[644,-513,500,114,385],713:[590,-544,500,69,430],714:[699,-505,500,203,393],715:[699,-505,500,106,295],728:[694,-515,500,92,407],729:[669,-549,500,190,309],732:[668,-565,500,83,416],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677],8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[285,-248,500,0,499],8212:[285,-248,1000,0,999],8216:[694,-379,278,64,198],8217:[694,-379,278,78,212],8220:[694,-379,500,128,466],8221:[694,-379,500,34,372],8224:[705,216,444,55,389],8225:[705,205,444,55,389],8230:[120,0,1172,78,1093],8242:[560,-43,275,30,262],8407:[714,-516,0,-471,-29],8463:[695,13,540,42,562],8465:[705,10,722,55,693],8467:[705,20,417,6,397],8472:[453,216,636,67,625],8476:[716,22,722,40,715],8501:[694,0,611,55,555],8592:[511,11,1000,55,944],8593:[694,193,500,17,483],8594:[511,11,1000,56,944],8595:[694,194,500,17,483],8596:[511,11,1000,55,944],8597:[772,272,500,17,483],8598:[720,195,1000,29,944],8599:[720,195,1000,55,970],8600:[695,220,1000,55,970],8601:[695,220,1000,29,944],8614:[511,11,1000,55,944],8617:[511,11,1126,55,1070],8618:[511,11,1126,55,1070],8636:[511,-230,1000,55,944],8637:[270,11,1000,55,944],8640:[511,-230,1000,56,944],8641:[270,11,1000,56,944],8652:[671,11,1000,55,944],8656:[525,24,1000,56,944],8657:[694,194,611,31,579],8658:[525,24,1000,56,944],8659:[694,194,611,31,579],8660:[526,25,1000,34,966],8661:[772,272,611,31,579],8704:[694,22,556,0,556],8706:[715,22,531,42,566],8707:[694,0,556,56,500],8709:[772,78,500,39,460],8711:[683,33,833,46,786],8712:[540,40,667,84,583],8713:[716,215,667,84,583],8715:[540,40,667,83,582],8722:[270,-230,778,84,694],8723:[500,166,778,56,722],8725:[750,250,500,56,445],8726:[750,250,500,56,444],8727:[465,-35,500,64,435],8728:[444,-55,500,55,444],8729:[444,-55,500,55,444],8730:[800,200,833,72,853],8733:[442,11,778,56,722],8734:[442,11,1000,55,944],8736:[694,0,722,55,666],8739:[750,249,278,119,159],8741:[750,250,500,132,367],8743:[598,22,667,55,611],8744:[598,22,667,55,611],8745:[598,22,667,55,611],8746:[598,22,667,55,611],8747:[716,216,417,55,472],8764:[367,-133,778,55,722],8768:[583,83,278,55,222],8771:[464,-36,778,55,722],8773:[589,-22,1000,55,722],8776:[483,-55,778,55,722],8781:[484,-16,778,55,722],8784:[670,-133,778,56,722],8800:[716,215,778,56,722],8801:[464,-36,778,56,722],8804:[636,138,778,83,694],8805:[636,138,778,83,694],8810:[568,67,1000,56,944],8811:[567,67,1000,55,944],8826:[539,41,778,84,694],8827:[539,41,778,83,694],8834:[540,40,778,84,694],8835:[540,40,778,83,693],8838:[636,138,778,84,694],8839:[636,138,778,83,693],8846:[598,22,667,55,611],8849:[636,138,778,84,714],8850:[636,138,778,64,694],8851:[598,0,667,61,605],8852:[598,0,667,61,605],8853:[583,83,778,56,722],8854:[583,83,778,56,722],8855:[583,83,778,56,722],8856:[583,83,778,56,722],8857:[583,83,778,56,722],8866:[694,0,611,55,555],8867:[694,0,611,55,555],8868:[668,0,778,55,723],8869:[668,0,778,55,723],8872:[750,249,867,119,811],8900:[488,-12,500,12,488],8901:[310,-190,278,78,199],8902:[486,-16,500,3,497],8904:[505,5,900,26,873],8942:[900,30,278,78,199],8943:[310,-190,1172,78,1093],8945:[820,-100,1282,133,1148],8968:[750,250,444,174,422],8969:[750,250,444,21,269],8970:[750,250,444,174,422],8971:[750,250,444,21,269],8994:[388,-122,1000,55,944],8995:[378,-134,1000,55,944],9136:[744,244,412,55,357],9137:[744,244,412,56,357],10216:[750,250,389,110,333],10217:[750,250,389,55,278],10222:[744,244,412,173,357],10223:[744,244,412,56,240],10229:[511,11,1609,55,1525],10230:[511,11,1638,84,1553],10231:[511,11,1859,55,1803],10232:[525,24,1609,56,1553],10233:[525,24,1638,56,1582],10234:[525,24,1858,56,1802],10236:[511,11,1638,55,1553],10815:[683,0,750,28,721],10927:[636,138,778,84,694],10928:[636,138,778,83,694]};g.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",style:"italic",testString:"MathJax Math \u03A5",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],47:[716,215,778,139,638],65:[716,0,750,35,726],66:[683,0,759,35,756],67:[705,22,715,50,760],68:[683,0,828,33,803],69:[680,0,738,31,764],70:[680,0,643,31,749],71:[705,22,786,50,760],72:[683,0,831,31,888],73:[683,0,440,26,504],74:[683,22,555,57,633],75:[683,0,849,31,889],76:[683,0,681,32,647],77:[683,0,970,35,1051],78:[683,0,803,31,888],79:[704,22,763,50,740],80:[683,0,642,33,751],81:[704,194,791,50,740],82:[683,21,759,33,755],83:[705,22,613,52,645],84:[677,0,584,21,704],85:[683,22,683,60,767],86:[683,22,583,52,769],87:[683,22,944,51,1048],88:[683,0,828,26,852],89:[683,-1,581,30,763],90:[683,0,683,58,723],97:[441,10,529,33,506],98:[694,11,429,40,422],99:[442,11,433,34,429],100:[694,10,520,33,523],101:[442,11,466,39,429],102:[705,205,490,55,550],103:[442,205,477,10,480],104:[694,11,576,48,555],105:[661,11,345,21,302],106:[661,204,412,-12,403],107:[694,11,521,48,503],108:[694,11,298,38,266],109:[442,11,878,21,857],110:[442,11,600,21,580],111:[441,11,485,34,476],112:[442,194,503,-39,497],113:[442,194,446,33,460],114:[442,11,451,21,430],115:[442,10,469,53,419],116:[626,11,361,19,330],117:[442,11,572,21,551],118:[443,11,485,21,467],119:[443,11,716,21,690],120:[442,11,572,35,522],121:[442,205,490,21,496],122:[442,11,465,35,468],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[677,0,742,53,777],928:[680,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};g.FONTDATA.FONTS.MathJax_Size1={directory:"Size1/Regular",family:"MathJax_Size1",testString:"() [] {}",32:[0,0,250,0,0],40:[850,349,458,152,422],41:[850,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,105,477],125:[850,349,583,105,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[750,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,55,777],8899:[750,249,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,249,833,55,777],10758:[750,249,833,55,777]};g.FONTDATA.FONTS.MathJax_Size2={directory:"Size2/Regular",family:"MathJax_Size2",testString:"() [] {}",32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1150,649,597,35,416],47:[1150,649,811,56,754],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1150,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1360,862,1084,55,1472],8749:[1360,862,1592,55,1980],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};g.FONTDATA.FONTS.MathJax_Size3={directory:"Size3/Regular",family:"MathJax_Size3",testString:"() [] {}",32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1450,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1450,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,950,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,949,750,94,623]};g.FONTDATA.FONTS.MathJax_Size4={directory:"Size4/Regular",family:"MathJax_Size4",testString:"() [] {}",32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1750,1249,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,661],125:[1750,1249,806,144,661],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1250,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1154,655,875,291,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1154,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,644,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,384,718],9128:[1160,660,889,170,504],9129:[10,899,889,384,718],9130:[310,10,889,384,504],9131:[899,10,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,504],9143:[935,885,1056,111,742],10216:[1750,1248,806,140,703],10217:[1750,1248,806,103,665],57344:[625,14,1056,702,742],57345:[605,14,1056,702,1076],57680:[120,213,450,-24,460],57681:[120,213,450,-10,474],57682:[333,0,450,-24,460],57683:[333,0,450,-10,474],57684:[120,0,400,-10,410]};g.FONTDATA.FONTS.MathJax_Main[8942][0]+=400;g.FONTDATA.FONTS.MathJax_Main[8945][0]+=700;g.FONTDATA.FONTS.MathJax_Size4[57684][0]+=200;g.FONTDATA.FONTS.MathJax_Size4[57684][1]+=200;g.FONTDATA.FONTS.MathJax_Main[8722][1]+=100;g.FONTDATA.FONTS.MathJax_Main[61][1]+=100;g.FONTDATA.FONTS.MathJax_Main[8773][2]-=222;g.FONTDATA.FONTS.MathJax_Main[8773][5]={rfix:-222};MathJax.Hub.Register.LoadHook(g.fontDir+"/Main/Bold/MathOperators.js",function(){g.FONTDATA.FONTS["MathJax_Main-bold"][8773][2]-=106;g.FONTDATA.FONTS["MathJax_Main-bold"][8773][5]={rfix:-106}});MathJax.Hub.Register.LoadHook(g.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){g.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275;g.FONTDATA.FONTS.MathJax_Typewriter[32][5]={rfix:275}});MathJax.Hub.Insert(g.FONTDATA.FONTS.MathJax_Main,{61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});if(!g.imgFonts){MathJax.Hub.Browser.Select({MSIE:function(s){if(g.config.availableFonts&&g.config.availableFonts.length){g.FONTDATA.REMAP[713]=175;g.FONTDATA.REMAP[714]=180;g.FONTDATA.REMAP[715]=96;g.FONTDATA.REMAP[730]=176;var r=String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923);g.FONTDATA.RANGES.push({name:"IEgreek",low:945,high:969,offset:"IEG",add:32});g.FONTDATA.RANGES.push({name:"IEGreek",low:913,high:1014,offset:"IEG"});if(g.Font.testFont({family:"MathJax_Greek",testString:r})){g.Augment({FONTDATA:{VARIANT:{normal:{offsetIEG:913,variantIEG:"-Greek"},fraktur:{offsetIEG:913,variantIEG:"-Greek"},script:{offsetIEG:913,variantIEG:"-Greek"},"-tex-caligraphic":{offsetIEG:913,variantIEG:"-Greek"},"-tex-oldstyle":{offsetIEG:913,variantIEG:"-Greek"},"-Greek":{fonts:["MathJax_Greek"]}}}});g.FONTDATA.FONTS.MathJax_Greek={directory:"Greek/Regular",family:"MathJax_Greek",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677]}}if(g.Font.testFont({family:"MathJax_Greek",weight:"bold",testString:r})){g.Augment({FONTDATA:{VARIANT:{bold:{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-fraktur":{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-script":{offsetIEG:913,variantIEG:"-Greek-Bold"},"-Greek-Bold":{fonts:["MathJax_Greek-bold"]}}}});g.FONTDATA.FONTS["MathJax_Greek-bold"]={directory:"Greek/Bold",family:"MathJax_Greek",weight:"bold",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,64,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,779]}}if(g.Font.testFont({family:"MathJax_Greek",style:"italic",testString:r})){g.Augment({FONTDATA:{VARIANT:{italic:{offsetIEG:913,variantIEG:"-Greek-Italic"},"-Greek-Italic":{fonts:["MathJax_Greek-italic"]}}}});g.FONTDATA.FONTS["MathJax_Greek-italic"]={directory:"Greek/Italic",family:"MathJax_Greek",style:"italic",testString:"\u0393 \u03A5 \u039B",skew:{915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[678,0,742,53,777],928:[681,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]}}if(g.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:r})){g.Augment({FONTDATA:{VARIANT:{"bold-italic":{offsetG:913,variantG:"-Greek-Bold-Italic"},"-Greek-Bold-Italic":{fonts:["MathJax_Greek-bold-italic"]}},FONTS:{"MathJax_Greek-bold-italic":"Greek/BoldItalic/Main.js"}}})}}if(g.msieIE6){var u="MathJax_WinIE6";g.FONTDATA.FONTS[u]="WinIE6/Regular/Main.js";g.FONTDATA.RANGES.push({name:"arrows",low:8592,high:8601,offset:"AR"});var t={variant:"-WinIE6",8658:57866,8660:57867,8704:57868,8706:57869,8707:57870,8711:57871,8712:57872,8715:57873,8725:57874,8730:57875,8733:57876,8734:57877,8736:57878,8739:57879,8741:57880,8743:57881,8744:57882,8745:57883,8746:57884,8747:57885,8764:57886,8776:57887,8800:57888,8801:57889,8804:57890,8805:57891,8810:57892,8811:57893,8834:57894,8835:57895,8838:57896,8839:57897,8853:57898,8857:57899,8869:57900,9651:57901,9661:57902,9711:57903,9824:57904,9825:57905,9826:57906,9827:57907,9837:57908,9838:57909,9839:57910,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var w={variant:"-WinIE6",8658:57930,8660:57931,8704:57932,8706:57933,8707:57934,8711:57935,8712:57936,8715:57937,8725:57938,8730:57939,8733:57940,8734:57941,8736:57942,8739:57943,8741:57944,8743:57945,8744:57946,8745:57947,8746:57948,8747:57949,8764:57950,8776:57951,8800:57952,8801:57953,8804:57954,8805:57955,8810:57956,8811:57957,8834:57958,8835:57959,8838:57960,8839:57961,8853:57962,8857:57963,8869:57964,9651:57965,9661:57966,9711:57967,9824:57968,9825:57969,9826:57970,9827:57971,9837:57972,9838:57973,9839:57974,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var q={offsetAR:57856,variantAR:"-WinIE6",remap:t};var v={offsetAR:57920,variantAR:"-WinIE6",remap:w};g.Augment({FONTDATA:{VARIANT:{normal:q,bold:v,italic:q,"bold-italic":v,"-TeX-variant":{remap:{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]}},"-largeOp":{fonts:[u,c,d,f],remap:{8719:58000,8721:58001,8747:58005,8750:58006}},"-smallOp":{fonts:[u,d,f],remap:{8719:57984,8721:57985,8747:57989,8750:57990}},"-WinIE6":{fonts:[u]}},DELIMITERS:{8730:{HW:{0:[1,u,null,57875],1:[1.2,u,null,57986],2:[1.8,u,null,58002],3:[2.4,u,null,58018],4:[3,u,null,58034]}},124:{stretch:{ext:[57879,u]}},8739:{HW:{0:[1,u,null,57879]},stretch:{ext:[57879,u]}},9168:{HW:{1:[1,u,null,57879]},stretch:{ext:[57879,u]}},8741:{HW:{0:[1,u,null,57880]},stretch:{ext:[57880,u]}},8592:{HW:{0:[0.889,u,null,57856]},stretch:{left:[57856,u]}},8593:{HW:{0:[0.888,u,null,57857]},stretch:{top:[57991,u],ext:[57993,u]}},8594:{HW:{0:[0.889,u,null,57858]},stretch:{right:[57858,u]}},8595:{HW:{0:[0.888,u,null,57859]},stretch:{bot:[57992,u],ext:[57993,u]}},8596:{HW:{0:[1,u,null,57860]},stretch:{left:[57856,u],right:[57858,u]}},8597:{HW:{0:[1.044,u,null,57859]},stretch:{top:[57991,u],bot:[57992,u],ext:[57993,u]}}}}})}},Chrome:function(r){if(r.isPC&&navigator.userAgent.match(/Windows NT (5|6.0)/)){g.Augment({FONTDATA:{REMAP:{824:"\uEEE0/\uEEE8"},REMAPACCENT:{"\u0307":".","\u030B":"\u00B4\uEEE1\u00B4","\u20D7":"\u2192"}}});delete g.FONTDATA.REMAPACCENT["\u2192"]}if(r.isPC&&!MathJax.Hub.Browser.versionAtLeast("5.0")){var q="-WinChrome";g.Augment({FONTDATA:{VARIANT:{normal:{remap:{62:[62,q]}},bold:{remap:{58097:[62,q]}},italic:{remap:{100:[100,q]}},"-tex-caligraphic":{remap:{84:[84,q]}},"-tex-caligraphic-bold":{remap:{84:[58096,q]}},"-largeOp":{remap:{10752:[10752,q]}},"-smallOp":{remap:{8899:[8899,q]}},"-WinChrome":{fonts:["MathJax_WinChrome"]}},DELIMITERS:{93:{stretch:{bot:[9126,"MathJax_WinChrome"]}},8971:{stretch:{bot:[9126,"MathJax_WinChrome"]}}}}});g.FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var t=g.FONTDATA.FONTS,s=g.config.availableFonts;var r,q=[];if(g.allowWebFonts){for(r in t){if(t[r].family){if(s&&s.length&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}else{t[r].isWebFont=true;if(g.FontFaceBug){t[r].family=r}q.push(g.Font.fontFace(r))}}}if(!g.config.preloadWebFonts){g.config.preloadWebFonts=[]}g.config.preloadWebFonts.push(f,h,d);if(q.length){g.config.styles["@font-face"]=q}}else{if(s&&s.length){for(r in t){if(t[r].family&&g.Font.testFont(t[r])){t[r].available=true;g.Font.loadComplete(t[r])}}}}})();l.loadComplete(g.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/imageFonts.js b/jax/output/HTML-CSS/imageFonts.js
index c57a6f723..f0efa62ce 100644
--- a/jax/output/HTML-CSS/imageFonts.js
+++ b/jax/output/HTML-CSS/imageFonts.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(b,c,a){var d="2.3";b.Register.LoadHook(c.fontDir+"/fontdata.js",function(){c.Augment({allowWebFonts:false,imgDir:c.webfontDir+"/png",imgPacked:(MathJax.isPacked?"":"/unpacked"),imgSize:["050","060","071","085",100,120,141,168,200,238,283,336,400,476],imgBaseIndex:4,imgSizeForEm:{},imgSizeForScale:{},imgZoom:1,handleImg:function(t,i,r,h,u){if(u.length){this.addText(t,u)}var s=r[5].orig;if(!s){s=r[5].orig=[r[0],r[1],r[2],r[3],r[4]]}var m=this.imgZoom;if(!t.scale){t.scale=1}var p=this.imgIndex(t.scale*m);if(p==this.imgEmWidth.length-1&&this.em*t.scale*m/this.imgEmWidth[p]>1.1){m=this.imgEmWidth[p]/(this.em*t.scale)}var q=this.imgEmWidth[p]/(this.em*(t.scale||1)*m);r[0]=s[0]*q;r[1]=s[1]*q;r[2]=s[2]*q;r[3]=s[3]*q;r[4]=s[4]*q;var k=this.imgDir+"/"+i.directory+"/"+this.imgSize[p];var l=h.toString(16).toUpperCase();while(l.length<4){l="0"+l}var j=k+"/"+l+".png";var o=r[5].img[p];var g={width:Math.floor(o[0]/m+0.5)+"px",height:Math.floor(o[1]/m+0.5)+"px"};if(o[2]){g.verticalAlign=Math.floor(-o[2]/m+0.5)+"px"}if(r[3]<0){g.marginLeft=this.Em(r[3]/1000)}if(r[4]!=r[2]){g.marginRight=this.Em((r[2]-r[4])/1000)}if(this.msieIE6){g.filter="progid:DXImageTransform.Microsoft.AlphaImageLoader(src='"+a.fileURL(j)+"', sizingMethod='scale')";j=this.directory+"/blank.gif"}this.addElement(t,"img",{src:a.fileURL(j),style:g,isMathJax:true});return""},defineImageData:function(i){for(var g in i){if(i.hasOwnProperty(g)){var h=c.FONTDATA.FONTS[g];if(h){g=i[g];for(var j in g){if(g.hasOwnProperty(j)&&h[j]){h[j][5]={img:g[j]}}}}}}},initImg:function(j){if(this.imgSizeForEm[this.em]){this.imgBaseIndex=this.imgSizeForEm[this.em]}for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(this.em<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-this.em>this.em-this.imgEmWidth[h-1]){h--}this.imgSizeForEm[this.em]=this.imgBaseIndex=h;this.imgZoom=this.imgBrowserZoom()},imgIndex:function(k){if(!k){return this.imgBaseIndex}if(!this.imgSizeForScale[this.em]){this.imgSizeForScale[this.em]={}}if(this.imgSizeForScale[this.em][k]){return this.imgSizeForScale[this.em][k]}var j=this.em*k;for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(j<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-j>j-this.imgEmWidth[h-1]){h--}this.imgSizeForScale[this.em][k]=h;return h},imgBrowserZoom:function(){return 1}});b.Browser.Select({Firefox:function(h){var g=c.addElement(document.body,"div",{style:{display:"none",visibility:"hidden",overflow:"scroll",position:"absolute",top:0,left:0,width:"200px",height:"200px",padding:0,border:0,margin:0}});var i=c.addElement(g,"div",{style:{position:"absolute",left:0,top:0,right:0,bottom:0,padding:0,border:0,margin:0}});c.Augment({imgSpaceBug:true,imgSpace:"\u00A0",imgZoomLevel:(h.isMac?{50:0.3,30:0.5,22:0.67,19:0.8,16:0.9,15:1,13:1.1,12:1.2,11:1.33,10:1.5,9:1.7,7:2,6:2.4,5:3,0:15}:{56:0.3,34:0.5,25:0.67,21:0.8,19:0.9,17:1,15:1.1,14:1.2,13:1.33,11:1.5,10:1.7,8:2,7:2.4,6:3,0:17}),imgZoomDiv:g,imgBrowserZoom:function(){var j=this.imgZoomLevel;g.style.display="";var k=(g.offsetWidth-i.offsetWidth);k=(j[k]?j[k]:j[0]/k);g.style.display="none";return k}})},Safari:function(g){c.Augment({imgBrowserZoom:function(){return 3}})},Chrome:function(g){c.Augment({imgHeightBug:true,imgBrowserZoom:function(){return 3}})},Opera:function(g){c.Augment({imgSpaceBug:true,imgSpace:"\u00A0\u00A0",imgDoc:(document.compatMode=="BackCompat"?document.body:document.documentElement),imgBrowserZoom:function(){if(g.isMac){return 3}var h=this.imgDoc.clientHeight,i=Math.floor(15*h/window.innerHeight);if(this.imgDoc.clientWidth<this.imgDoc.scrollWidth-i){h+=i}return parseFloat((window.innerHeight/h).toFixed(1))}})}});var f=function(){var h=c.FONTDATA.FONTS.MathJax_Main[8212][5].img;c.imgEmWidth=[];for(var j=0,g=h.length;j<g;j++){c.imgEmWidth[j]=h[j][0]}};var e=c.imgDir+c.imgPacked;MathJax.Callback.Queue(["Require",a,e+"/imagedata.js"],f,["loadComplete",a,c.directory+"/imageFonts.js"])})})(MathJax.Hub,MathJax.OutputJax["HTML-CSS"],MathJax.Ajax);
+(function(b,c,a){var d="2.4-beta";b.Register.LoadHook(c.fontDir+"/fontdata.js",function(){c.Augment({allowWebFonts:false,imgDir:c.webfontDir+"/png",imgPacked:(MathJax.isPacked?"":"/unpacked"),imgSize:["050","060","071","085",100,120,141,168,200,238,283,336,400,476],imgBaseIndex:4,imgSizeForEm:{},imgSizeForScale:{},imgZoom:1,handleImg:function(t,i,r,h,u){if(u.length){this.addText(t,u)}var s=r[5].orig;if(!s){s=r[5].orig=[r[0],r[1],r[2],r[3],r[4]]}var m=this.imgZoom;if(!t.scale){t.scale=1}var p=this.imgIndex(t.scale*m);if(p==this.imgEmWidth.length-1&&this.em*t.scale*m/this.imgEmWidth[p]>1.1){m=this.imgEmWidth[p]/(this.em*t.scale)}var q=this.imgEmWidth[p]/(this.em*(t.scale||1)*m);r[0]=s[0]*q;r[1]=s[1]*q;r[2]=s[2]*q;r[3]=s[3]*q;r[4]=s[4]*q;var k=this.imgDir+"/"+i.directory+"/"+this.imgSize[p];var l=h.toString(16).toUpperCase();while(l.length<4){l="0"+l}var j=k+"/"+l+".png";var o=r[5].img[p];var g={width:Math.floor(o[0]/m+0.5)+"px",height:Math.floor(o[1]/m+0.5)+"px"};if(o[2]){g.verticalAlign=Math.floor(-o[2]/m+0.5)+"px"}if(r[3]<0){g.marginLeft=this.Em(r[3]/1000)}if(r[4]!=r[2]){g.marginRight=this.Em((r[2]-r[4])/1000)}if(this.msieIE6){g.filter="progid:DXImageTransform.Microsoft.AlphaImageLoader(src='"+a.urlRev(j)+"', sizingMethod='scale')";j=this.directory+"/blank.gif"}this.addElement(t,"img",{src:a.urlRev(j),style:g,isMathJax:true});return""},defineImageData:function(i){for(var g in i){if(i.hasOwnProperty(g)){var h=c.FONTDATA.FONTS[g];if(h){g=i[g];for(var j in g){if(g.hasOwnProperty(j)&&h[j]){h[j][5]={img:g[j]}}}}}}},initImg:function(j){if(this.imgSizeForEm[this.em]){this.imgBaseIndex=this.imgSizeForEm[this.em]}for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(this.em<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-this.em>this.em-this.imgEmWidth[h-1]){h--}this.imgSizeForEm[this.em]=this.imgBaseIndex=h;this.imgZoom=this.imgBrowserZoom()},imgIndex:function(k){if(!k){return this.imgBaseIndex}if(!this.imgSizeForScale[this.em]){this.imgSizeForScale[this.em]={}}if(this.imgSizeForScale[this.em][k]){return this.imgSizeForScale[this.em][k]}var j=this.em*k;for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(j<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-j>j-this.imgEmWidth[h-1]){h--}this.imgSizeForScale[this.em][k]=h;return h},imgBrowserZoom:function(){return 1}});b.Browser.Select({Firefox:function(h){var g=c.addElement(document.body,"div",{style:{display:"none",visibility:"hidden",overflow:"scroll",position:"absolute",top:0,left:0,width:"200px",height:"200px",padding:0,border:0,margin:0}});var i=c.addElement(g,"div",{style:{position:"absolute",left:0,top:0,right:0,bottom:0,padding:0,border:0,margin:0}});c.Augment({imgSpaceBug:true,imgSpace:"\u00A0",imgZoomLevel:(h.isMac?{50:0.3,30:0.5,22:0.67,19:0.8,16:0.9,15:1,13:1.1,12:1.2,11:1.33,10:1.5,9:1.7,7:2,6:2.4,5:3,0:15}:{56:0.3,34:0.5,25:0.67,21:0.8,19:0.9,17:1,15:1.1,14:1.2,13:1.33,11:1.5,10:1.7,8:2,7:2.4,6:3,0:17}),imgZoomDiv:g,imgBrowserZoom:function(){var j=this.imgZoomLevel;g.style.display="";var k=(g.offsetWidth-i.offsetWidth);k=(j[k]?j[k]:j[0]/k);g.style.display="none";return k}})},Safari:function(g){c.Augment({imgBrowserZoom:function(){return 3}})},Chrome:function(g){c.Augment({imgHeightBug:true,imgBrowserZoom:function(){return 3}})},Opera:function(g){c.Augment({imgSpaceBug:true,imgSpace:"\u00A0\u00A0",imgDoc:(document.compatMode=="BackCompat"?document.body:document.documentElement),imgBrowserZoom:function(){if(g.isMac){return 3}var h=this.imgDoc.clientHeight,i=Math.floor(15*h/window.innerHeight);if(this.imgDoc.clientWidth<this.imgDoc.scrollWidth-i){h+=i}return parseFloat((window.innerHeight/h).toFixed(1))}})}});var f=function(){var h=c.FONTDATA.FONTS.MathJax_Main[8212][5].img;c.imgEmWidth=[];for(var j=0,g=h.length;j<g;j++){c.imgEmWidth[j]=h[j][0]}};var e=c.imgDir+c.imgPacked;MathJax.Callback.Queue(["Require",a,e+"/imagedata.js"],f,["loadComplete",a,c.directory+"/imageFonts.js"])})})(MathJax.Hub,MathJax.OutputJax["HTML-CSS"],MathJax.Ajax);
diff --git a/jax/output/NativeMML/config.js b/jax/output/NativeMML/config.js
index 63106ca01..a450d7371 100644
--- a/jax/output/NativeMML/config.js
+++ b/jax/output/NativeMML/config.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.3",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
diff --git a/jax/output/SVG/autoload/annotation-xml.js b/jax/output/SVG/autoload/annotation-xml.js
index f0e872ade..4029668a8 100644
--- a/jax/output/SVG/autoload/annotation-xml.js
+++ b/jax/output/SVG/autoload/annotation-xml.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG;var b=d.BBOX;b.FOREIGN=b.Subclass({type:"foreignObject",removeable:false});a["annotation-xml"].Augment({toSVG:function(){var f=this.SVG();this.SVGhandleSpace(f);var h=this.Get("encoding");for(var g=0,e=this.data.length;g<e;g++){f.Add(this.data[g].toSVG(h),f.w,0)}f.Clean();this.SVGhandleColor(f);this.SVGsaveData(f);return f}});a.xml.Augment({toSVG:function(e){var p=d.textSVG.parentNode;d.mathDiv.style.width="auto";p.insertBefore(this.div,d.textSVG);var q=this.div.offsetWidth,k=this.div.offsetHeight;var o=MathJax.HTML.addElement(this.div,"span",{style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});var n=this.div.offsetHeight-k;k-=n;this.div.removeChild(o);p.removeChild(this.div);d.mathDiv.style.width="";var g=1000/d.em;var l=b.FOREIGN({y:(-k)+"px",width:q+"px",height:(k+n)+"px",transform:"scale("+g+") matrix(1 0 0 -1 0 0)"});for(var j=0,f=this.data.length;j<f;j++){l.element.appendChild(this.data[j].cloneNode(true))}l.w=q*g;l.h=k*g;l.d=n*g;l.r=l.w;l.l=0;l.Clean();this.SVGsaveData(l);return l}});MathJax.Hub.Startup.signal.Post("SVG annotation-xml Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/annotation-xml.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG;var b=d.BBOX;b.FOREIGN=b.Subclass({type:"foreignObject",removeable:false});a["annotation-xml"].Augment({toSVG:function(){var f=this.SVG();this.SVGhandleSpace(f);var h=this.Get("encoding");for(var g=0,e=this.data.length;g<e;g++){f.Add(this.data[g].toSVG(h),f.w,0)}f.Clean();this.SVGhandleColor(f);this.SVGsaveData(f);return f}});a.xml.Augment({toSVG:function(e){var p=d.textSVG.parentNode;d.mathDiv.style.width="auto";p.insertBefore(this.div,d.textSVG);var q=this.div.offsetWidth,k=this.div.offsetHeight;var o=MathJax.HTML.addElement(this.div,"span",{style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});var n=this.div.offsetHeight-k;k-=n;this.div.removeChild(o);p.removeChild(this.div);d.mathDiv.style.width="";var g=1000/d.em;var l=b.FOREIGN({y:(-k)+"px",width:q+"px",height:(k+n)+"px",transform:"scale("+g+") matrix(1 0 0 -1 0 0)"});for(var j=0,f=this.data.length;j<f;j++){l.element.appendChild(this.data[j].cloneNode(true))}l.w=q*g;l.h=k*g;l.d=n*g;l.r=l.w;l.l=0;l.Clean();this.SVGsaveData(l);return l}});MathJax.Hub.Startup.signal.Post("SVG annotation-xml Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/annotation-xml.js")});
diff --git a/jax/output/SVG/autoload/maction.js b/jax/output/SVG/autoload/maction.js
index 296b5539c..69334662f 100644
--- a/jax/output/SVG/autoload/maction.js
+++ b/jax/output/SVG/autoload/maction.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.3";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j.type=="null"){this.SVGsaveData(i);return i}i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));this.SVGhandleHitBox(i);this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.addElement(h.element,"rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,j,this.Get("selection"))}},SVGstretchH:c.mbase.prototype.SVGstretchH,SVGstretchV:c.mbase.prototype.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth*1000;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.4-beta";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j.type=="null"){this.SVGsaveData(i);return i}i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));this.SVGhandleHitBox(i);this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.addElement(h.element,"rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,j,this.Get("selection"))}},SVGstretchH:c.mbase.prototype.SVGstretchH,SVGstretchV:c.mbase.prototype.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth*1000;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")});
diff --git a/jax/output/SVG/autoload/menclose.js b/jax/output/SVG/autoload/menclose.js
index be6cd3917..6c6c5176b 100644
--- a/jax/output/SVG/autoload/menclose.js
+++ b/jax/output/SVG/autoload/menclose.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;b.ELLIPSE=b.Subclass({type:"ellipse",removeable:false,Init:function(i,k,e,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.cx=Math.floor(e/2);j.cy=Math.floor((i+k)/2-k);j.rx=Math.floor((e-g)/2);j.ry=Math.floor((i+k-g)/2);this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i;this.d=this.D=k;this.l=0}});b.DLINE=b.Subclass({type:"line",removeable:false,Init:function(i,l,e,g,f,j,k){if(k==null){k={}}k.fill="none";if(f){k.stroke=f}k["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");if(j=="up"){k.x1=Math.floor(g/2);k.y1=Math.floor(g/2-l);k.x2=Math.floor(e-g/2);k.y2=Math.floor(i-g/2)}else{k.x1=Math.floor(g/2);k.y1=Math.floor(i-g/2);k.x2=Math.floor(e-g/2);k.y2=Math.floor(g/2-l)}this.SUPER(arguments).Init.call(this,k);this.w=this.r=e;this.h=this.H=i;this.d=this.D=l;this.l=0}});b.FPOLY=b.Subclass({type:"polygon",removeable:false,Init:function(p,g,e){if(e==null){e={}}if(g){e.fill=g}var j=[],o=100000000,n=o,r=-o,q=r;for(var h=0,f=p.length;h<f;h++){var l=p[h][0],k=p[h][1];if(l>r){r=l}if(l<o){o=l}if(k>q){q=k}if(k<n){n=k}j.push(Math.floor(l)+","+Math.floor(k))}e.points=j.join(" ");this.SUPER(arguments).Init.call(this,e);this.w=this.r=r;this.h=this.H=q;this.d=this.D=-n;this.l=-o}});b.PPATH=b.Subclass({type:"path",removeable:false,Init:function(i,l,e,k,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.d=k;this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i+l;this.d=this.D=this.l=0;this.y=-l}});a.menclose.Augment({toSVG:function(G,K){this.SVGgetStyles();var B=this.SVG();this.SVGhandleSpace(B);var r=this.SVGdataStretched(0,G,K);var g=this.getValues("notation","thickness","padding","mathcolor","color");if(g.color&&!this.mathcolor){g.mathcolor=g.color}if(g.thickness==null){g.thickness=".075em"}if(g.padding==null){g.padding=".2em"}var C=this.SVGgetMu(B),P=this.SVGgetScale();var E=d.length2em(g.padding,C,1/d.em)*P;var z=d.length2em(g.thickness,C,1/d.em);var u=r.h+E+z,A=r.d+E+z,k=r.w+2*(E+z);var y=0,v,M,L,I,q=[false,false,false,false];if(!g.mathcolor){g.mathcolor="black"}var j=MathJax.Hub.SplitList(g.notation),o={};for(L=0,I=j.length;L<I;L++){o[j[L]]=true}if(o[a.NOTATION.UPDIAGONALARROW]){o[a.NOTATION.UPDIAGONALSTRIKE]=false}for(var F in o){if(!o.hasOwnProperty(F)||!o[F]){continue}switch(F){case a.NOTATION.BOX:q=[true,true,true,true];break;case a.NOTATION.ROUNDEDBOX:B.Add(b.FRAME(u,A,k,z,"solid",g.mathcolor,{rx:Math.floor(Math.min(u+A-z,k-z)/4)}));break;case a.NOTATION.CIRCLE:B.Add(b.ELLIPSE(u,A,k,z,g.mathcolor));break;case a.NOTATION.ACTUARIAL:q[0]=true;case a.NOTATION.RIGHT:q[1]=true;break;case a.NOTATION.LEFT:q[3]=true;break;case a.NOTATION.TOP:q[0]=true;break;case a.NOTATION.BOTTOM:q[2]=true;break;case a.NOTATION.VERTICALSTRIKE:B.Add(b.VLINE(u+A,z,"solid",g.mathcolor),(k-z)/2,-A);break;case a.NOTATION.HORIZONTALSTRIKE:B.Add(b.HLINE(k,z,"solid",g.mathcolor),0,(u+A-z)/2-A);break;case a.NOTATION.UPDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"up"));break;case a.NOTATION.UPDIAGONALARROW:var J=Math.sqrt(k*k+(u+A)*(u+A)),N=1/J*10/d.em*z/0.075;v=k*N;M=(u+A)*N;var s=0.4*M;B.Add(b.DLINE(u-0.5*M,A,k-0.5*v,z,g.mathcolor,"up"));B.Add(b.FPOLY([[s+v,M],[s-0.4*M,0.4*v],[s+0.3*v,0.3*M],[s+0.4*M,-0.4*v],[s+v,M]],g.mathcolor),k-v-s,u-M);break;case a.NOTATION.DOWNDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"down"));break;case a.NOTATION.MADRUWB:q[1]=q[2]=true;break;case a.NOTATION.RADICAL:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,0.4*(u+A))+" L "+this.SVGxy(E,z/2)+" L "+this.SVGxy(2*E,u+A-z/2)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z);y=E;break;case a.NOTATION.LONGDIV:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,z/2)+" a "+this.SVGxy(E,(u+A)/2-2*z)+" 0 0,1 "+this.SVGxy(z/2,u+A-z)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z/2);y=E;break}}var O=[["H",k,0,u-z],["V",u+A,k-z,-A],["H",k,0,-A],["V",u+A,0,-A]];for(L=0;L<4;L++){if(q[L]){var e=O[L];B.Add(b[e[0]+"LINE"](e[1],z,"solid",g.mathcolor),e[2],e[3])}}B.Add(r,y+E+z,0,false,true);B.Clean();this.SVGhandleSpace(B);this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGxy:function(e,f){return Math.floor(e)+","+Math.floor(f)}});MathJax.Hub.Startup.signal.Post("SVG menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;b.ELLIPSE=b.Subclass({type:"ellipse",removeable:false,Init:function(i,k,e,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.cx=Math.floor(e/2);j.cy=Math.floor((i+k)/2-k);j.rx=Math.floor((e-g)/2);j.ry=Math.floor((i+k-g)/2);this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i;this.d=this.D=k;this.l=0}});b.DLINE=b.Subclass({type:"line",removeable:false,Init:function(i,l,e,g,f,j,k){if(k==null){k={}}k.fill="none";if(f){k.stroke=f}k["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");if(j=="up"){k.x1=Math.floor(g/2);k.y1=Math.floor(g/2-l);k.x2=Math.floor(e-g/2);k.y2=Math.floor(i-g/2)}else{k.x1=Math.floor(g/2);k.y1=Math.floor(i-g/2);k.x2=Math.floor(e-g/2);k.y2=Math.floor(g/2-l)}this.SUPER(arguments).Init.call(this,k);this.w=this.r=e;this.h=this.H=i;this.d=this.D=l;this.l=0}});b.FPOLY=b.Subclass({type:"polygon",removeable:false,Init:function(p,g,e){if(e==null){e={}}if(g){e.fill=g}var j=[],o=100000000,n=o,r=-o,q=r;for(var h=0,f=p.length;h<f;h++){var l=p[h][0],k=p[h][1];if(l>r){r=l}if(l<o){o=l}if(k>q){q=k}if(k<n){n=k}j.push(Math.floor(l)+","+Math.floor(k))}e.points=j.join(" ");this.SUPER(arguments).Init.call(this,e);this.w=this.r=r;this.h=this.H=q;this.d=this.D=-n;this.l=-o}});b.PPATH=b.Subclass({type:"path",removeable:false,Init:function(i,l,e,k,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.d=k;this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i+l;this.d=this.D=this.l=0;this.y=-l}});a.menclose.Augment({toSVG:function(G,K){this.SVGgetStyles();var B=this.SVG(),P=this.SVGgetScale(B);this.SVGhandleSpace(B);var r=this.SVGdataStretched(0,G,K);var g=this.getValues("notation","thickness","padding","mathcolor","color");if(g.color&&!this.mathcolor){g.mathcolor=g.color}if(g.thickness==null){g.thickness=".075em"}if(g.padding==null){g.padding=".2em"}var C=this.SVGgetMu(B);var E=d.length2em(g.padding,C,1/d.em)*P;var z=d.length2em(g.thickness,C,1/d.em);z=Math.max(1/d.em,z);var u=r.h+E+z,A=r.d+E+z,k=r.w+2*(E+z);var y=0,v,M,L,I,q=[false,false,false,false];if(!g.mathcolor){g.mathcolor="black"}var j=MathJax.Hub.SplitList(g.notation),o={};for(L=0,I=j.length;L<I;L++){o[j[L]]=true}if(o[a.NOTATION.UPDIAGONALARROW]){o[a.NOTATION.UPDIAGONALSTRIKE]=false}for(var F in o){if(!o.hasOwnProperty(F)||!o[F]){continue}switch(F){case a.NOTATION.BOX:q=[true,true,true,true];break;case a.NOTATION.ROUNDEDBOX:B.Add(b.FRAME(u,A,k,z,"solid",g.mathcolor,{rx:Math.floor(Math.min(u+A-z,k-z)/4)}));break;case a.NOTATION.CIRCLE:B.Add(b.ELLIPSE(u,A,k,z,g.mathcolor));break;case a.NOTATION.ACTUARIAL:q[0]=true;case a.NOTATION.RIGHT:q[1]=true;break;case a.NOTATION.LEFT:q[3]=true;break;case a.NOTATION.TOP:q[0]=true;break;case a.NOTATION.BOTTOM:q[2]=true;break;case a.NOTATION.VERTICALSTRIKE:B.Add(b.VLINE(u+A,z,"solid",g.mathcolor),(k-z)/2,-A);break;case a.NOTATION.HORIZONTALSTRIKE:B.Add(b.HLINE(k,z,"solid",g.mathcolor),0,(u+A-z)/2-A);break;case a.NOTATION.UPDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"up"));break;case a.NOTATION.UPDIAGONALARROW:var J=Math.sqrt(k*k+(u+A)*(u+A)),N=1/J*10/d.em*z/0.075;v=k*N;M=(u+A)*N;var s=0.4*M;B.Add(b.DLINE(u-0.5*M,A,k-0.5*v,z,g.mathcolor,"up"));B.Add(b.FPOLY([[s+v,M],[s-0.4*M,0.4*v],[s+0.3*v,0.3*M],[s+0.4*M,-0.4*v],[s+v,M]],g.mathcolor),k-v-s,u-M);break;case a.NOTATION.DOWNDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"down"));break;case a.NOTATION.PHASORANGLE:q[2]=true;k-=2*E;E=(u+A)/2;k+=E;B.Add(b.DLINE(u,A,E,z,g.mathcolor,"up"));break;case a.NOTATION.MADRUWB:q[1]=q[2]=true;break;case a.NOTATION.RADICAL:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,0.4*(u+A))+" L "+this.SVGxy(E,z/2)+" L "+this.SVGxy(2*E,u+A-z/2)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z);y=E;break;case a.NOTATION.LONGDIV:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,z/2)+" a "+this.SVGxy(E,(u+A)/2-2*z)+" 0 0,1 "+this.SVGxy(z/2,u+A-z)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z/2);y=E;break}}var O=[["H",k,0,u-z],["V",u+A,k-z,-A],["H",k,0,-A],["V",u+A,0,-A]];for(L=0;L<4;L++){if(q[L]){var e=O[L];B.Add(b[e[0]+"LINE"](e[1],z,"solid",g.mathcolor),e[2],e[3])}}B.Add(r,y+E+z,0,false,true);B.Clean();this.SVGhandleSpace(B);this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGxy:function(e,f){return Math.floor(e)+","+Math.floor(f)}});MathJax.Hub.Startup.signal.Post("SVG menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")});
diff --git a/jax/output/SVG/autoload/mglyph.js b/jax/output/SVG/autoload/mglyph.js
index 57d2b8c76..f2ceb03e3 100644
--- a/jax/output/SVG/autoload/mglyph.js
+++ b/jax/output/SVG/autoload/mglyph.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.3";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX,e=MathJax.Localization;var c="http://www.w3.org/1999/xlink";b.MGLYPH=b.Subclass({type:"image",removeable:false,Init:function(j,n,k,l,p,g){if(g==null){g={}}var i=j.width*1000/f.em,o=j.height*1000/f.em,m=0;if(n!==""){i=f.length2em(n,p,i)}if(k!==""){o=f.length2em(k,p,o)}if(l!==""&&l.match(/\d/)){m=f.length2em(l,p);g.y=-m}g.height=Math.floor(o);g.width=Math.floor(i);g.transform="translate(0,"+o+") matrix(1 0 0 -1 0 0)";g.preserveAspectRatio="none";this.SUPER(arguments).Init.call(this,g);this.element.setAttributeNS(c,"href",j.src);this.w=this.r=i;this.h=this.H=o+m;this.d=this.D=-m;this.l=0}});a.mglyph.Augment({toSVG:function(k,n){this.SVGgetStyles();var j=this.SVG(),i,l;this.SVGhandleSpace(j);var h=this.getValues("src","width","height","valign","alt");if(h.src===""){h=this.getValues("index","fontfamily");if(h.index){if(!n){n=this.SVGgetScale()}var m={};if(h.fontfamily){m["font-family"]=h.fontfamily}j.Add(b.TEXT(n,String.fromCharCode(h.index),m))}}else{if(!this.img){this.img=a.mglyph.GLYPH[h.src]}if(!this.img){this.img=a.mglyph.GLYPH[h.src]={img:new Image(),status:"pending"};i=this.img.img;i.onload=MathJax.Callback(["SVGimgLoaded",this]);i.onerror=MathJax.Callback(["SVGimgError",this]);i.src=h.src;MathJax.Hub.RestartAfter(i.onload)}if(this.img.status!=="OK"){l=a.Error(e._(["MathML","BadMglyph"],"Bad mglyph: %1",h.src),{mathsize:"75%"});this.Append(l);j=l.toSVG();this.data.pop()}else{var g=this.SVGgetMu(j);j.Add(b.MGLYPH(this.img.img,h.width,h.height,h.valign,g,{src:h.src,alt:h.alt,title:h.alt}))}}j.Clean();this.SVGhandleColor(j);this.SVGsaveData(j);return j},SVGimgLoaded:function(h,g){if(typeof(h)==="string"){g=h}this.img.status=(g||"OK")},SVGimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("SVG mglyph Ready");MathJax.Ajax.loadComplete(f.autoloadDir+"/mglyph.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.4-beta";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX,e=MathJax.Localization;var c="http://www.w3.org/1999/xlink";b.MGLYPH=b.Subclass({type:"image",removeable:false,Init:function(j,o,k,l,r,g){if(g==null){g={}}var i=j.width*1000/f.em,p=j.height*1000/f.em;var q=i,n=p,m=0;if(o!==""){i=f.length2em(o,r,q);p=(q?i/q*n:0)}if(k!==""){p=f.length2em(k,r,n);if(o===""){i=(n?p/n*q:0)}}if(l!==""&&l.match(/\d/)){m=f.length2em(l,r);g.y=-m}g.height=Math.floor(p);g.width=Math.floor(i);g.transform="translate(0,"+p+") matrix(1 0 0 -1 0 0)";g.preserveAspectRatio="none";this.SUPER(arguments).Init.call(this,g);this.element.setAttributeNS(c,"href",j.src);this.w=this.r=i;this.h=this.H=p+m;this.d=this.D=-m;this.l=0}});a.mglyph.Augment({toSVG:function(k,n){this.SVGgetStyles();var j=this.SVG(),i,l;this.SVGhandleSpace(j);var h=this.getValues("src","width","height","valign","alt");if(h.src===""){h=this.getValues("index","fontfamily");if(h.index){if(!n){n=this.SVGgetScale()}var m={};if(h.fontfamily){m["font-family"]=h.fontfamily}j.Add(b.TEXT(n,String.fromCharCode(h.index),m))}}else{if(!this.img){this.img=a.mglyph.GLYPH[h.src]}if(!this.img){this.img=a.mglyph.GLYPH[h.src]={img:new Image(),status:"pending"};i=this.img.img;i.onload=MathJax.Callback(["SVGimgLoaded",this]);i.onerror=MathJax.Callback(["SVGimgError",this]);i.src=h.src;MathJax.Hub.RestartAfter(i.onload)}if(this.img.status!=="OK"){l=a.Error(e._(["MathML","BadMglyph"],"Bad mglyph: %1",h.src),{mathsize:"75%"});this.Append(l);j=l.toSVG();this.data.pop()}else{var g=this.SVGgetMu(j);j.Add(b.MGLYPH(this.img.img,h.width,h.height,h.valign,g,{src:h.src,alt:h.alt,title:h.alt}))}}j.Clean();this.SVGhandleColor(j);this.SVGsaveData(j);return j},SVGimgLoaded:function(h,g){if(typeof(h)==="string"){g=h}this.img.status=(g||"OK")},SVGimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("SVG mglyph Ready");MathJax.Ajax.loadComplete(f.autoloadDir+"/mglyph.js")});
diff --git a/jax/output/SVG/autoload/mmultiscripts.js b/jax/output/SVG/autoload/mmultiscripts.js
index 1e969f75b..611b08004 100644
--- a/jax/output/SVG/autoload/mmultiscripts.js
+++ b/jax/output/SVG/autoload/mmultiscripts.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.3";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.mmultiscripts.Augment({toSVG:function(G,z){this.SVGgetStyles();var B=this.SVG();this.SVGhandleSpace(B);var M=this.SVGgetScale();var j=(this.data[this.base]?this.SVGdataStretched(this.base,G,z):c.BBOX.G().Clean());var K=c.TeX.x_height*M,y=c.TeX.scriptspace*M*0.75;var x=this.SVGgetScripts(y);var k=x[0],e=x[1],n=x[2],i=x[3];var g=(this.data[1]||this).SVGgetScale();var C=c.TeX.sup_drop*g,A=c.TeX.sub_drop*g;var o=j.h-C,m=j.d+A,L=0,F;if(j.ic){L=j.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&j.scale===1&&!j.stretched&&!this.data[this.base].Get("largeop")){o=m=0}}var H=this.getValues("subscriptshift","superscriptshift"),E=this.SVGgetMu(B);H.subscriptshift=(H.subscriptshift===""?0:c.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:c.length2em(H.superscriptshift,E));var l=0;if(n){l=n.w+L}else{if(i){l=i.w-L}}B.Add(j,Math.max(0,l),0);if(!e&&!i){m=Math.max(m,c.TeX.sub1*M,H.subscriptshift);if(k){m=Math.max(m,k.h-(4/5)*K)}if(n){m=Math.max(m,n.h-(4/5)*K)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,0,-m)}}else{if(!k&&!n){var f=this.getValues("displaystyle","texprimestyle");F=c.TeX[(f.displaystyle?"sup1":(f.texprimestyle?"sup3":"sup2"))];o=Math.max(o,F*M,H.superscriptshift);if(e){o=Math.max(o,e.d+(1/4)*K)}if(i){o=Math.max(o,i.d+(1/4)*K)}if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,0,o)}}else{m=Math.max(m,c.TeX.sub2*M);var w=c.TeX.rule_thickness*M;var I=(k||n).h,J=(e||i).d;if(n){I=Math.max(I,n.h)}if(i){J=Math.max(J,i.d)}if((o-J)-(I-m)<3*w){m=3*w-o+J+I;C=(4/5)*K-(o-J);if(C>0){o+=C;m-=C}}o=Math.max(o,H.superscriptshift);m=Math.max(m,H.subscriptshift);if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,l+L-i.w,o)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,l-n.w,-m)}}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGgetScripts:function(p){var o,d,e=[];var n=1,g=this.data.length,f=0;for(var h=0;h<4;h+=2){while(n<g&&this.data[n].type!=="mprescripts"){for(var l=h;l<h+2;l++){if(this.data[n]&&this.data[n].type!=="none"){if(!e[l]){e[l]=c.BBOX.G()}e[l].Add(this.data[n].toSVG().With({x:f}))}n++}d=e[h]||{w:0};o=e[h+1]||{w:0};d.w=o.w=f=Math.max(d.w,o.w)}n++;f=0}for(l=0;l<4;l++){if(e[l]){e[l].w+=p;e[l].Clean()}}return e}});MathJax.Hub.Startup.signal.Post("SVG mmultiscripts Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/mmultiscripts.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.mmultiscripts.Augment({toSVG:function(G,z){this.SVGgetStyles();var B=this.SVG(),N=this.SVGgetScale(B);this.SVGhandleSpace(B);var j=(this.data[this.base]?this.SVGdataStretched(this.base,G,z):c.BBOX.G().Clean());var K=c.TeX.x_height*N,y=c.TeX.scriptspace*N*0.75;var x=this.SVGgetScripts(y);var k=x[0],e=x[1],n=x[2],i=x[3];var g=(this.data[1]||this).SVGgetScale();var C=c.TeX.sup_drop*g,A=c.TeX.sub_drop*g;var o=j.h-C,m=j.d+A,L=0,F;if(j.ic){L=j.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(this.data[this.base].data.join("").length===1&&j.scale===1&&!j.stretched&&!this.data[this.base].Get("largeop")){o=m=0}}var H=this.getValues("subscriptshift","superscriptshift"),E=this.SVGgetMu(B);H.subscriptshift=(H.subscriptshift===""?0:c.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:c.length2em(H.superscriptshift,E));var l=0;if(n){l=n.w+L}else{if(i){l=i.w-L}}B.Add(j,Math.max(0,l),0);if(!e&&!i){m=Math.max(m,c.TeX.sub1*N,H.subscriptshift);if(k){m=Math.max(m,k.h-(4/5)*K)}if(n){m=Math.max(m,n.h-(4/5)*K)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,0,-m)}}else{if(!k&&!n){var f=this.getValues("displaystyle","texprimestyle");F=c.TeX[(f.displaystyle?"sup1":(f.texprimestyle?"sup3":"sup2"))];o=Math.max(o,F*N,H.superscriptshift);if(e){o=Math.max(o,e.d+(1/4)*K)}if(i){o=Math.max(o,i.d+(1/4)*K)}if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,0,o)}}else{m=Math.max(m,c.TeX.sub2*N);var w=c.TeX.rule_thickness*N;var I=(k||n).h,J=(e||i).d;if(n){I=Math.max(I,n.h)}if(i){J=Math.max(J,i.d)}if((o-J)-(I-m)<3*w){m=3*w-o+J+I;C=(4/5)*K-(o-J);if(C>0){o+=C;m-=C}}o=Math.max(o,H.superscriptshift);m=Math.max(m,H.subscriptshift);if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,l+L-i.w,o)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,l-n.w,-m)}}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);var M=this.SVGdata;M.dx=l;M.s=y;M.u=o,M.v=m;M.delta=L;return B},SVGgetScripts:function(p){var o,d,e=[];var n=1,g=this.data.length,f=0;for(var h=0;h<4;h+=2){while(n<g&&this.data[n].type!=="mprescripts"){for(var l=h;l<h+2;l++){if(this.data[n]&&this.data[n].type!=="none"){if(!e[l]){e[l]=c.BBOX.G()}e[l].Add(this.data[n].toSVG().With({x:f}))}n++}d=e[h]||{w:0};o=e[h+1]||{w:0};d.w=o.w=f=Math.max(d.w,o.w)}n++;f=0}for(l=0;l<4;l++){if(e[l]){e[l].w+=p;e[l].Clean()}}return e}});MathJax.Hub.Startup.signal.Post("SVG mmultiscripts Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/mmultiscripts.js")});
diff --git a/jax/output/SVG/autoload/ms.js b/jax/output/SVG/autoload/ms.js
index c52a88a65..4885a823b 100644
--- a/jax/output/SVG/autoload/ms.js
+++ b/jax/output/SVG/autoload/ms.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.3";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.ms.Augment({toSVG:function(){this.SVGgetStyles();var e=this.SVG();this.SVGhandleSpace(e);var d=this.getValues("lquote","rquote");var f=this.SVGgetVariant(),i=this.SVGgetScale();var h=this.data.join("");var g=[];if(d.lquote.length===1){g.push(this.SVGquoteRegExp(d.lquote))}if(d.rquote.length===1){g.push(this.SVGquoteRegExp(d.rquote))}if(g.length){h=h.replace(RegExp("("+g.join("|")+")","g"),"\\$1")}e.Add(this.SVGhandleVariant(f,i,d.lquote+h+d.rquote));e.Clean();this.SVGhandleColor(e);this.SVGsaveData(e);return e},SVGquoteRegExp:function(d){return d.replace(/([.*+?|{}()\[\]\\])/g,"\\$1")}});a.ms.prototype.defaults.mathvariant="monospace";MathJax.Hub.Startup.signal.Post("SVG ms Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/ms.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.4-beta";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.ms.Augment({toSVG:function(){this.SVGgetStyles();var e=this.SVG();this.SVGhandleSpace(e);var d=this.getValues("lquote","rquote");var f=this.SVGgetVariant(),h=this.SVGgetScale();var g=this.data.join("");e.Add(this.SVGhandleVariant(f,h,d.lquote+g+d.rquote));e.Clean();this.SVGhandleColor(e);this.SVGsaveData(e);return e}});a.ms.prototype.defaults.mathvariant="monospace";MathJax.Hub.Startup.signal.Post("SVG ms Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/ms.js")});
diff --git a/jax/output/SVG/autoload/mtable.js b/jax/output/SVG/autoload/mtable.js
index ce7d7bdb8..fcf1dd0a6 100644
--- a/jax/output/SVG/autoload/mtable.js
+++ b/jax/output/SVG/autoload/mtable.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.3";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(V){this.SVGgetStyles();var l=this.SVG();if(this.data.length===0){this.SVGsaveData(l);return l}var aI=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aI.width.match(/%$/)){l.width=aI.width=Math.floor(d.cwidth*parseFloat(aI.width)/100)+"px"}var al=this.SVGgetScale(),t=this.SVGgetMu(l);var aF=-1;var v=[],E=[],h=[],L=[],G=[],aD,aC,u=-1,aA,r,av,O,aj,z;var aK=d.FONTDATA.baselineskip*al*aI.useHeight,aw,Z=d.FONTDATA.lineH*al,ad=d.FONTDATA.lineD*al;for(aD=0,aA=this.data.length;aD<aA;aD++){O=this.data[aD];av=(O.type==="mlabeledtr"?aF:0);L[aD]=[];v[aD]=E[aD]=0;for(aC=av,r=O.data.length+av;aC<r;aC++){if(h[aC]==null){if(aC>u){u=aC}G[aC]=b.G();h[aC]=-d.BIGDIMEN}aj=O.data[aC-av];L[aD][aC]=aj.toSVG();if(aj.isEmbellished()){z=aj.CoreMO();var aH=z.Get("minsize",true);if(aH){if(z.SVGcanStretch("Vertical")){aw=z.SVGdata.h+z.SVGdata.d;if(aw){aH=d.length2em(aH,t,aw);if(aH*z.SVGdata.h/aw>v[aC]){v[aC]=aH*z.SVGdata.h/aw}if(aH*z.SVGdata.d/aw>E[aC]){E[aC]=aH*z.SVGdata.d/aw}}}else{if(z.SVGcanStretch("Horizontal")){aH=d.length2em(aH,t,z.SVGdata.w);if(aH>h[aC]){h[aC]=aH}}}}}if(L[aD][aC].h>v[aD]){v[aD]=L[aD][aC].h}if(L[aD][aC].d>E[aD]){E[aD]=L[aD][aC].d}if(L[aD][aC].w>h[aC]){h[aC]=L[aD][aC].w}}}if(v[0]+E[0]){v[0]=Math.max(v[0],Z)}if(v[L.length-1]+E[L.length-1]){E[L.length-1]=Math.max(E[L.length-1],ad)}var ak=MathJax.Hub.SplitList;var ai=ak(aI.columnspacing),Q=ak(aI.rowspacing),af=ak(aI.columnalign),I=ak(aI.rowalign),K=ak(aI.columnlines),g=ak(aI.rowlines),an=ak(aI.columnwidth),ar=[];for(aD=0,aA=ai.length;aD<aA;aD++){ai[aD]=d.length2em(ai[aD],t)}for(aD=0,aA=Q.length;aD<aA;aD++){Q[aD]=d.length2em(Q[aD],t)}while(ai.length<u){ai.push(ai[ai.length-1])}while(af.length<=u){af.push(af[af.length-1])}while(K.length<u){K.push(K[K.length-1])}while(an.length<=u){an.push(an[an.length-1])}while(Q.length<L.length){Q.push(Q[Q.length-1])}while(I.length<=L.length){I.push(I[I.length-1])}while(g.length<L.length){g.push(g[g.length-1])}if(G[aF]){af[aF]=(aI.side.substr(0,1)==="l"?"left":"right");ai[aF]=-h[aF]}for(aD=0,aA=L.length;aD<aA;aD++){O=this.data[aD];ar[aD]=[];if(O.rowalign){I[aD]=O.rowalign}if(O.columnalign){ar[aD]=ak(O.columnalign);while(ar[aD].length<=u){ar[aD].push(ar[aD][ar[aD].length-1])}}}if(aI.equalrows){var R=Math.max.apply(Math,v),am=Math.max.apply(Math,E);for(aD=0,aA=L.length;aD<aA;aD++){av=((R+am)-(v[aD]+E[aD]))/2;v[aD]+=av;E[aD]+=av}}aw=v[0]+E[L.length-1];for(aD=0,aA=L.length-1;aD<aA;aD++){aw+=Math.max((v[aD]+E[aD]?aK:0),E[aD]+v[aD+1]+Q[aD])}var ab=0,X=0,ax,aG=aw;if(aI.frame!=="none"||(aI.columnlines+aI.rowlines).match(/solid|dashed/)){var q=ak(aI.framespacing);if(q.length!=2){q=ak(this.defaults.framespacing)}ab=d.length2em(q[0],t);X=d.length2em(q[1],t);aG=aw+2*X}var e,au,az="";if(typeof(aI.align)!=="string"){aI.align=String(aI.align)}if(aI.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){az=RegExp.$3;aI.align=RegExp.$1}else{aI.align=this.defaults.align}if(az!==""){az=parseInt(az);if(az<0){az=L.length+1+az}if(az<1){az=1}else{if(az>L.length){az=L.length}}e=0;au=-(aw+X)+v[0];for(aD=0,aA=az-1;aD<aA;aD++){var U=Math.max((v[aD]+E[aD]?aK:0),E[aD]+v[aD+1]+Q[aD]);e+=U;au+=U}}else{e=({top:-(v[0]+X),bottom:aw+X-v[0],center:aw/2-v[0],baseline:aw/2-v[0],axis:aw/2+d.TeX.axis_height*al-v[0]})[aI.align];au=({top:-(aw+2*X),bottom:0,center:-(aw/2+X),baseline:-(aw/2+X),axis:d.TeX.axis_height*al-aw/2-X})[aI.align]}var ao,at=0,S=0,T=0,ay=0,aE=0,o=[],w=[],ag=1;if(aI.equalcolumns&&aI.width!=="auto"){ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}ao/=u+1;for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){h[aD]=ao}}else{for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){if(an[aD]==="auto"){S+=h[aD]}else{if(an[aD]==="fit"){w[aE]=aD;aE++;S+=h[aD]}else{if(an[aD].match(/%$/)){o[ay]=aD;ay++;T+=h[aD];at+=d.length2em(an[aD],t,1)}else{h[aD]=d.length2em(an[aD],t);S+=h[aD]}}}}if(aI.width==="auto"){if(at>0.98){ag=T/(S+T);ao=S+T}else{ao=S/(1-at)}}else{ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}}for(aD=0,aA=o.length;aD<aA;aD++){h[o[aD]]=d.length2em(an[o[aD]],t,ao*ag);S+=h[o[aD]]}if(Math.abs(ao-S)>0.01){if(aE&&ao>S){ao=(ao-S)/aE;for(aD=0,aA=w.length;aD<aA;aD++){h[w[aD]]+=ao}}else{ao=ao/S;for(aC=0;aC<=u;aC++){h[aC]*=ao}}}if(aI.equalcolumns){var ac=Math.max.apply(Math,h);for(aC=0;aC<=u;aC++){h[aC]=ac}}}var ap=e,k,aB;av=(G[aF]?aF:0);for(aC=av;aC<=u;aC++){G[aC].w=h[aC];for(aD=0,aA=L.length;aD<aA;aD++){if(L[aD][aC]){av=(this.data[aD].type==="mlabeledtr"?aF:0);aj=this.data[aD].data[aC-av];if(aj.SVGcanStretch("Horizontal")){L[aD][aC]=aj.SVGstretchH(h[aC])}else{if(aj.SVGcanStretch("Vertical")){z=aj.CoreMO();var aa=z.symmetric;z.symmetric=false;L[aD][aC]=aj.SVGstretchV(v[aD],E[aD]);z.symmetric=aa}}aB=aj.rowalign||this.data[aD].rowalign||I[aD];k=({top:v[aD]-L[aD][aC].h,bottom:L[aD][aC].d-E[aD],center:((v[aD]-E[aD])-(L[aD][aC].h-L[aD][aC].d))/2,baseline:0,axis:0})[aB]||0;aB=(aj.columnalign||ar[aD][aC]||af[aC]);G[aC].Align(L[aD][aC],aB,0,ap+k)}if(aD<L.length-1){ap-=Math.max((v[aD]+E[aD]?aK:0),E[aD]+v[aD+1]+Q[aD])}}ap=e}var ae=1.5*d.em;var aq=ab-ae/2;for(aC=0;aC<=u;aC++){l.Add(G[aC],aq,0);aq+=h[aC]+ai[aC];if(K[aC]!=="none"&&aC<u&&aC!==aF){l.Add(b.VLINE(aG,ae,K[aC]),aq-ai[aC]/2,au)}}l.w+=ab;l.d=-au;l.h=aG+au;ax=l.w;if(aI.frame!=="none"){l.Add(b.HLINE(ax,ae,aI.frame),0,au+aG-ae);l.Add(b.HLINE(ax,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),ax-ae,au)}ap=e-ae/2;for(aD=0,aA=L.length-1;aD<aA;aD++){k=Math.max(aK,E[aD]+v[aD+1]+Q[aD]);if(g[aD]!=="none"){l.Add(b.HLINE(ax,ae,g[aD]),0,ap-E[aD]-(k-E[aD]-v[aD+1])/2)}ap-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(G[aF]){var N=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(N.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){N.indentalign=N.indentalignfirst}if(N.indentalign===a.INDENTALIGN.AUTO){N.indentalign=this.displayAlign}if(N.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){N.indentshift=N.indentshiftfirst}if(N.indentshift==="auto"){N.indentshift=this.displayIndent}var ah=(N.indentshift?d.length2em(N.indentshift,t):0);var aJ=d.length2em(aI.minlabelspacing,t);var B=l;l=this.SVG();if(N.indentalign===a.INDENTALIGN.CENTER){l.w=l.r=d.length2em(d.cwidth+"px");ah=0;l.hasIndent=true}else{if(af[aF]!==N.indentalign){l.w=l.r=d.length2em(d.cwidth+"px")-ah-aJ;ah=aJ=0}else{l.w=l.r=B.w+ah;l.hasIndent=true}}l.Align(B,N.indentalign,ah,0);l.Align(G[aF],af[aF],aJ,0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.4-beta";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(V){this.SVGgetStyles();var l=this.SVG(),al=this.SVGgetScale(l);if(this.data.length===0){this.SVGsaveData(l);return l}var aI=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aI.width.match(/%$/)){l.width=aI.width=Math.floor(d.cwidth*parseFloat(aI.width)/100)+"px"}var t=this.SVGgetMu(l);var aF=-1;var v=[],E=[],h=[],L=[],G=[],aD,aC,u=-1,aA,r,av,O,aj,z,aw;var Z=d.FONTDATA.lineH*al*aI.useHeight,ad=d.FONTDATA.lineD*al*aI.useHeight;for(aD=0,aA=this.data.length;aD<aA;aD++){O=this.data[aD];av=(O.type==="mlabeledtr"?aF:0);L[aD]=[];v[aD]=Z;E[aD]=ad;for(aC=av,r=O.data.length+av;aC<r;aC++){if(h[aC]==null){if(aC>u){u=aC}G[aC]=b.G();h[aC]=-d.BIGDIMEN}aj=O.data[aC-av];L[aD][aC]=aj.toSVG();if(aj.isEmbellished()){z=aj.CoreMO();var aH=z.Get("minsize",true);if(aH){if(z.SVGcanStretch("Vertical")){aw=z.SVGdata.h+z.SVGdata.d;if(aw){aH=d.length2em(aH,t,aw);if(aH*z.SVGdata.h/aw>v[aD]){v[aD]=aH*z.SVGdata.h/aw}if(aH*z.SVGdata.d/aw>E[aD]){E[aD]=aH*z.SVGdata.d/aw}}}else{if(z.SVGcanStretch("Horizontal")){aH=d.length2em(aH,t,z.SVGdata.w);if(aH>h[aC]){h[aC]=aH}}}}}if(L[aD][aC].h>v[aD]){v[aD]=L[aD][aC].h}if(L[aD][aC].d>E[aD]){E[aD]=L[aD][aC].d}if(L[aD][aC].w>h[aC]){h[aC]=L[aD][aC].w}}}var ak=MathJax.Hub.SplitList;var ai=ak(aI.columnspacing),Q=ak(aI.rowspacing),af=ak(aI.columnalign),I=ak(aI.rowalign),K=ak(aI.columnlines),g=ak(aI.rowlines),an=ak(aI.columnwidth),ar=[];for(aD=0,aA=ai.length;aD<aA;aD++){ai[aD]=d.length2em(ai[aD],t)}for(aD=0,aA=Q.length;aD<aA;aD++){Q[aD]=d.length2em(Q[aD],t)}while(ai.length<u){ai.push(ai[ai.length-1])}while(af.length<=u){af.push(af[af.length-1])}while(K.length<u){K.push(K[K.length-1])}while(an.length<=u){an.push(an[an.length-1])}while(Q.length<L.length){Q.push(Q[Q.length-1])}while(I.length<=L.length){I.push(I[I.length-1])}while(g.length<L.length){g.push(g[g.length-1])}if(G[aF]){af[aF]=(aI.side.substr(0,1)==="l"?"left":"right");ai[aF]=-h[aF]}for(aD=0,aA=L.length;aD<aA;aD++){O=this.data[aD];ar[aD]=[];if(O.rowalign){I[aD]=O.rowalign}if(O.columnalign){ar[aD]=ak(O.columnalign);while(ar[aD].length<=u){ar[aD].push(ar[aD][ar[aD].length-1])}}}if(aI.equalrows){var R=Math.max.apply(Math,v),am=Math.max.apply(Math,E);for(aD=0,aA=L.length;aD<aA;aD++){av=((R+am)-(v[aD]+E[aD]))/2;v[aD]+=av;E[aD]+=av}}aw=v[0]+E[L.length-1];for(aD=0,aA=L.length-1;aD<aA;aD++){aw+=Math.max(0,E[aD]+v[aD+1]+Q[aD])}var ab=0,X=0,ax,aG=aw;if(aI.frame!=="none"||(aI.columnlines+aI.rowlines).match(/solid|dashed/)){var q=ak(aI.framespacing);if(q.length!=2){q=ak(this.defaults.framespacing)}ab=d.length2em(q[0],t);X=d.length2em(q[1],t);aG=aw+2*X}var e,au,az="";if(typeof(aI.align)!=="string"){aI.align=String(aI.align)}if(aI.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){az=RegExp.$3;aI.align=RegExp.$1}else{aI.align=this.defaults.align}if(az!==""){az=parseInt(az);if(az<0){az=L.length+1+az}if(az<1){az=1}else{if(az>L.length){az=L.length}}e=0;au=-(aw+X)+v[0];for(aD=0,aA=az-1;aD<aA;aD++){var U=Math.max(0,E[aD]+v[aD+1]+Q[aD]);e+=U;au+=U}}else{e=({top:-(v[0]+X),bottom:aw+X-v[0],center:aw/2-v[0],baseline:aw/2-v[0],axis:aw/2+d.TeX.axis_height*al-v[0]})[aI.align];au=({top:-(aw+2*X),bottom:0,center:-(aw/2+X),baseline:-(aw/2+X),axis:d.TeX.axis_height*al-aw/2-X})[aI.align]}var ao,at=0,S=0,T=0,ay=0,aE=0,o=[],w=[],ag=1;if(aI.equalcolumns&&aI.width!=="auto"){ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}ao/=u+1;for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){h[aD]=ao}}else{for(aD=0,aA=Math.min(u+1,an.length);aD<aA;aD++){if(an[aD]==="auto"){S+=h[aD]}else{if(an[aD]==="fit"){w[aE]=aD;aE++;S+=h[aD]}else{if(an[aD].match(/%$/)){o[ay]=aD;ay++;T+=h[aD];at+=d.length2em(an[aD],t,1)}else{h[aD]=d.length2em(an[aD],t);S+=h[aD]}}}}if(aI.width==="auto"){if(at>0.98){ag=T/(S+T);ao=S+T}else{ao=S/(1-at)}}else{ao=d.length2em(aI.width,t);for(aD=0,aA=Math.min(u+1,ai.length);aD<aA;aD++){ao-=ai[aD]}}for(aD=0,aA=o.length;aD<aA;aD++){h[o[aD]]=d.length2em(an[o[aD]],t,ao*ag);S+=h[o[aD]]}if(Math.abs(ao-S)>0.01){if(aE&&ao>S){ao=(ao-S)/aE;for(aD=0,aA=w.length;aD<aA;aD++){h[w[aD]]+=ao}}else{ao=ao/S;for(aC=0;aC<=u;aC++){h[aC]*=ao}}}if(aI.equalcolumns){var ac=Math.max.apply(Math,h);for(aC=0;aC<=u;aC++){h[aC]=ac}}}var ap=e,k,aB;av=(G[aF]?aF:0);for(aC=av;aC<=u;aC++){G[aC].w=h[aC];for(aD=0,aA=L.length;aD<aA;aD++){if(L[aD][aC]){av=(this.data[aD].type==="mlabeledtr"?aF:0);aj=this.data[aD].data[aC-av];if(aj.SVGcanStretch("Horizontal")){L[aD][aC]=aj.SVGstretchH(h[aC])}else{if(aj.SVGcanStretch("Vertical")){z=aj.CoreMO();var aa=z.symmetric;z.symmetric=false;L[aD][aC]=aj.SVGstretchV(v[aD],E[aD]);z.symmetric=aa}}aB=aj.rowalign||this.data[aD].rowalign||I[aD];k=({top:v[aD]-L[aD][aC].h,bottom:L[aD][aC].d-E[aD],center:((v[aD]-E[aD])-(L[aD][aC].h-L[aD][aC].d))/2,baseline:0,axis:0})[aB]||0;aB=(aj.columnalign||ar[aD][aC]||af[aC]);G[aC].Align(L[aD][aC],aB,0,ap+k)}if(aD<L.length-1){ap-=Math.max(0,E[aD]+v[aD+1]+Q[aD])}}ap=e}var ae=1.5*d.em;var aq=ab-ae/2;for(aC=0;aC<=u;aC++){l.Add(G[aC],aq,0);aq+=h[aC]+ai[aC];if(K[aC]!=="none"&&aC<u&&aC!==aF){l.Add(b.VLINE(aG,ae,K[aC]),aq-ai[aC]/2,au)}}l.w+=ab;l.d=-au;l.h=aG+au;ax=l.w;if(aI.frame!=="none"){l.Add(b.HLINE(ax,ae,aI.frame),0,au+aG-ae);l.Add(b.HLINE(ax,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),0,au);l.Add(b.VLINE(aG,ae,aI.frame),ax-ae,au)}ap=e-ae/2;for(aD=0,aA=L.length-1;aD<aA;aD++){k=Math.max(0,E[aD]+v[aD+1]+Q[aD]);if(g[aD]!=="none"){l.Add(b.HLINE(ax,ae,g[aD]),0,ap-E[aD]-(k-E[aD]-v[aD+1])/2)}ap-=k}l.Clean();this.SVGhandleSpace(l);this.SVGhandleColor(l);if(G[aF]){var N=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(N.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){N.indentalign=N.indentalignfirst}if(N.indentalign===a.INDENTALIGN.AUTO){N.indentalign=this.displayAlign}if(N.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){N.indentshift=N.indentshiftfirst}if(N.indentshift==="auto"){N.indentshift=this.displayIndent}var ah=(N.indentshift?d.length2em(N.indentshift,t):0);var aJ=d.length2em(aI.minlabelspacing,t);var B=l;l=this.SVG();if(N.indentalign===a.INDENTALIGN.CENTER){l.w=l.r=d.length2em(d.cwidth+"px");ah=0;l.hasIndent=true}else{if(af[aF]!==N.indentalign){l.w=l.r=d.length2em(d.cwidth+"px")-ah-aJ;ah=aJ=0}else{l.w=l.r=B.w+ah;l.hasIndent=true}}l.Align(B,N.indentalign,ah,0);l.Align(G[aF],af[aF],aJ,0)}this.SVGsaveData(l);return l},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
diff --git a/jax/output/SVG/autoload/multiline.js b/jax/output/SVG/autoload/multiline.js
index 14c08bff6..5e3551907 100644
--- a/jax/output/SVG/autoload/multiline.js
+++ b/jax/output/SVG/autoload/multiline.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.3";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX;var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(k){var o=this;while(o.inferred||(o.parent&&o.parent.type==="mrow"&&o.parent.data.length===1)){o=o.parent}var n=((o.type==="math"&&o.Get("display")==="block")||o.type==="mtd");o.isMultiline=true;var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}p.lineleading=f.length2em(p.lineleading,1,0.5);k=this.SVG();if(f.linebreakWidth<f.BIGDIMEN){k.w=f.linebreakWidth}else{k.w=f.cwidth/f.em*1000}var g={n:0,Y:0,scale:this.SVGgetScale(),isTop:n,values:{},VALUES:p},m=this.SVGgetAlign(g,{}),i=this.SVGgetShift(g,{},m),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},l=false;while(this.SVGbetterBreak(j,g)&&(j.scanW>=f.linebreakWidth||j.penalty==e.newline)){this.SVGaddLine(k,h,j.index,g,j.values,l);h=j.index.slice(0);l=true;m=this.SVGgetAlign(g,j.values);i=this.SVGgetShift(g,j.values,m);if(m===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.SVGaddLine(k,h,[],g,c,l);this.SVGhandleSpace(k);this.SVGhandleColor(k);k.isMultiline=true;this.SVGsaveData(k);return k}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(j,g){if(this.isToken){return false}if(this.isEmbellished()){j.embellished=this;return this.CoreMO().SVGbetterBreak(j,g)}if(this.linebreakContainer){return false}var q=j.index.slice(0),o=j.index.shift(),n=this.data.length,l,r,k,p=(j.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;j.W+=j.w;j.w=0}k=j.scanW=j.W;j.nest++;while(o<n&&j.scanW<1.33*f.linebreakWidth){if(this.data[o]){if(this.data[o].SVGbetterBreak(j,g)){h=true;q=[o].concat(j.index);l=j.W;r=j.w;if(j.penalty===e.newline){j.index=q;if(j.nest){j.nest--}return true}}k=(p?j.scanW:this.SVGaddWidth(o,j,k))}j.index=[];o++;p=false}if(j.nest){j.nest--}j.index=q;if(h){j.W=l}return h},SVGaddWidth:function(h,k,j){if(this.data[h]){var g=this.data[h].SVGdata;j+=g.w+g.x;if(g.X){j+=g.X}k.W=k.scanW=j;k.w=0}return j},SVGaddLine:function(l,h,k,g,p,n){var q=b();g.first=n;g.last=true;this.SVGmoveLine(h,k,q,g,p);q.Clean();var o=this.SVGgetAlign(g,p),i=this.SVGgetShift(g,p,o);if(i){if(o===a.INDENTALIGN.LEFT){q.x=i}else{if(o===a.INDENTALIGN.RIGHT){q.w+=i;q.r=q.w}}}if(g.n>0){var m=f.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading;g.Y-=Math.max(m,g.d+q.h+j)}l.Align(q,o,0,g.Y);g.d=q.d;g.values=p;g.n++},SVGgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},SVGgetShift:function(k,h,m){if(m===a.INDENTALIGN.CENTER){return 0}var l=h,i=k.values,j=k.VALUES,g;if(k.n===0){g=l.indentshiftfirst||i.indentshiftfirst||j.indentshiftfirst}else{if(k.isLast){g=i.indentshiftlast||j.indentshiftlast}else{g=i.indentshift||j.indentshift}}if(g===a.INDENTSHIFT.INDENTSHIFT){g=i.indentshift||j.indentshift}if(g==="auto"||g===""){g=(k.isTSop?this.displayIndent:"0")}return f.length2em(g,0)},SVGmoveLine:function(p,g,k,o,h){var m=p[0],l=g[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&p.length>1){this.data[m].SVGmoveSlice(p.slice(1),g.slice(1),k,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(m<l){if(this.data[m]){if(p.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice(p.slice(1),[],k,o,h,"paddingLeft")}}m++;o.first=false;p=[]}o.last=n;if(this.data[m]){if(g.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice([],g.slice(1),k,o,h,"paddingRight")}}}},SVGmoveSlice:function(m,g,i,j,h,k){var l=b();this.SVGmoveLine(m,g,l,j,h);l.Clean();this.SVGhandleColor(l);i.Add(l,i.w,0,true);return l},SVGmove:function(g,j,i){if(!(j.first||j.last)||(j.first&&j.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(j.last&&i.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var h=this.toSVG(this.SVGdata.HW,this.SVGdata.D);if(j.last){h.x=0}if(j.first||j.nextIsFirst){delete j.nextIsFirst;if(h.X){h.X=0}}g.Add(h,g.w,0,true)}else{if(j.first){j.nextIsFirst=true}else{delete j.nextIsFirst}}}});a.mfenced.Augment({SVGbetterBreak:function(l,g){var u=l.index.slice(0),s=l.index.shift(),p=this.data.length,o,v,n,t=(l.index.length>0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r<p;r++){if(this.data["sep"+r]){this.dataI.push("sep"+r)}this.dataI.push(r)}if(this.data.close){this.dataI.push("close")}}p=this.dataI.length;while(s<p&&l.scanW<1.33*f.linebreakWidth){var q=this.dataI[s];if(this.data[q]){if(this.data[q].SVGbetterBreak(l,g)){h=true;u=[s].concat(l.index);o=l.W;v=l.w;if(l.penalty===e.newline){l.index=u;if(l.nest){l.nest--}return true}}n=(t?l.scanW:this.SVGaddWidth(s,l,n))}l.index=[];s++;t=false}if(l.nest){l.nest--}l.index=u;if(h){l.W=o;l.w=v}return h},SVGmoveLine:function(h,m,p,g,r){var o=h[0],n=m[0];if(o==null){o=-1}if(n==null){n=this.dataI.length-1}if(o===n&&h.length>1){this.data[this.dataI[o]].SVGmoveSlice(h.slice(1),m.slice(1),p,g,r,"paddingLeft")}else{var q=g.last;g.last=false;var l=this.dataI[o];while(o<n){if(this.data[l]){if(h.length<=1){this.data[l].SVGmove(p,g,r)}else{this.data[l].SVGmoveSlice(h.slice(1),[],p,g,r,"paddingLeft")}}o++;l=this.dataI[o];g.first=false;h=[]}g.last=q;if(this.data[l]){if(m.length<=1){this.data[l].SVGmove(p,g,r)}else{this.data[l].SVGmoveSlice([],m.slice(1),p,g,r,"paddingRight")}}}}});a.msubsup.Augment({SVGbetterBreak:function(j,g){if(!this.data[this.base]){return false}var o=j.index.slice(0),m=j.index.shift(),l,p,k,n=(j.index.length>0),h=false;if(!n){j.W+=j.w;j.w=0}k=j.scanW=j.W;if(m==null){this.SVGdata.dw=this.SVGdata.w-this.data[this.base].SVGdata.w}if(this.data[this.base].SVGbetterBreak(j,g)){h=true;o=[this.base].concat(j.index);l=j.W;p=j.w;if(j.penalty===e.newline){h=n=true}}if(!n){this.SVGaddWidth(this.base,j,k)}j.scanW+=this.SVGdata.dw;j.W=j.scanW;j.index=[];if(h){j.W=l;j.w=p;j.index=o}return h},SVGmoveLine:function(i,j,m,h,o){if(this.data[this.base]){if(i.length>1){this.data[this.base].SVGmoveSlice(i.slice(1),j.slice(1),m,h,o,"paddingLeft")}else{if(j.length<=1){this.data[this.base].SVGmove(m,h,o)}else{this.data[this.base].SVGmoveSlice([],j.slice(1),m,h,o,"paddingRight")}}}if(j.length===0){var l=this.data[this.sup],g=this.data[this.sub],n=m.w,k;if(l){k=l.SVGdata;m.Add(l.toSVG(),n+(k.dx||0),k.dy)}if(g){k=g.SVGdata;m.Add(g.toSVG(),n+(k.dx||0),k.dy)}}}});a.mo.Augment({SVGbetterBreak:function(i,g){if(i.values&&i.values.last===this){return false}var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}if(q.texClass===a.TEXCLASS.OPEN){i.nest++}if(q.texClass===a.TEXCLASS.CLOSE&&i.nest){i.nest--}var j=i.scanW,k=(i.embellished||this);delete i.embellished;var m=k.SVGdata,p=m.w+m.x;if(q.linebreakstyle===a.LINEBREAKSTYLE.AFTER){j+=p;p=0}if(j-i.shift===0){return false}var l=f.linebreakWidth-j;if(g.n===0&&(q.indentshiftfirst!==g.VALUES.indentshiftfirst||q.indentalignfirst!==g.VALUES.indentalignfirst)){var n=this.SVGgetAlign(g,q),h=this.SVGgetShift(g,q,n);l+=(i.shift-h)}var o=Math.floor(l/f.linebreakWidth*1000);if(o<0){o=e.toobig-3*o}if(q.fence){o+=e.fence}if((q.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&q.texClass===a.TEXCLASS.OPEN)||q.texClass===a.TEXCLASS.CLOSE){o+=e.close}o+=i.nest*e.nestfactor;var r=e[q.linebreak||a.LINEBREAK.AUTO];if(!(r instanceof Array)){if(l>=0){o=r*i.nest}}else{o=Math.max(1,o+r[0]*i.nest)}if(o>=i.penalty){return false}i.penalty=o;i.values=q;i.W=j;i.w=p;q.lineleading=f.length2em(q.lineleading,g.VALUES.lineleading);q.last=this;return true}});a.mspace.Augment({SVGbetterBreak:function(h,g){if(h.values&&h.values.last===this){return false}var o=this.getValues("linebreak");var m=o.linebreak;if(!m||this.hasDimAttr()){m=a.LINEBREAK.AUTO}var i=h.scanW,k=this.SVGdata,n=k.w+k.x;if(i-h.shift===0){return false}var j=f.linebreakWidth-i;var l=Math.floor(j/f.linebreakWidth*1000);if(l<0){l=e.toobig-3*l}l+=h.nest*e.nestfactor;var p=e[m];if(m===a.LINEBREAK.AUTO&&n>=e.spacelimit*1000){p=[(n+e.spaceoffset)*e.spacefactor]}if(!(p instanceof Array)){if(j>=0){l=p*h.nest}}else{l=Math.max(1,l+p[0]*h.nest)}if(l>=h.penalty){return false}h.penalty=l;h.values=o;h.W=i;h.w=n;o.lineleading=g.VALUES.lineleading;o.linebreakstyle="before";o.last=this;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({SVGbetterBreak:function(h,g){return this.Core().SVGbetterBreak(h,g)},SVGmoveLine:function(k,g,i,j,h){return this.Core().SVGmoveSlice(k,g,i,j,h)}})});a.maction.Augment({SVGbetterBreak:function(h,g){return this.Core().SVGbetterBreak(h,g)},SVGmoveLine:function(k,g,i,j,h){return this.Core().SVGmoveSlice(k,g,i,j,h)},});a.semantics.Augment({SVGbetterBreak:function(h,g){return(this.data[0]?this.data[0].SVGbetterBreak(h,g):false)},SVGmoveLine:function(k,g,i,j,h){return(this.data[0]?this.data[0].SVGmoveSlice(k,g,i,j,h):null)}});MathJax.Hub.Startup.signal.Post("SVG multiline Ready");MathJax.Ajax.loadComplete(f.autoloadDir+"/multiline.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.4-beta";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX;var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(k){var o=this;while(o.inferred||(o.parent&&o.parent.type==="mrow"&&o.parent.data.length===1)){o=o.parent}var n=((o.type==="math"&&o.Get("display")==="block")||o.type==="mtd");o.isMultiline=true;var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(p.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}p.lineleading=f.length2em(p.lineleading,1,0.5);k=this.SVG();if(n&&o.type!=="mtd"){if(f.linebreakWidth<f.BIGDIMEN){k.w=f.linebreakWidth}else{k.w=f.cwidth/f.em*1000}}var g={n:0,Y:0,scale:this.scale||1,isTop:n,values:{},VALUES:p},m=this.SVGgetAlign(g,{}),i=this.SVGgetShift(g,{},m),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},l=false;while(this.SVGbetterBreak(j,g)&&(j.scanW>=f.linebreakWidth||j.penalty===e.newline)){this.SVGaddLine(k,h,j.index,g,j.values,l);h=j.index.slice(0);l=true;m=this.SVGgetAlign(g,j.values);i=this.SVGgetShift(g,j.values,m);if(m===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.SVGaddLine(k,h,[],g,c,l);this.SVGhandleSpace(k);this.SVGhandleColor(k);k.isMultiline=true;this.SVGsaveData(k);return k}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(j,g){if(this.isToken){return false}if(this.isEmbellished()){j.embellished=this;return this.CoreMO().SVGbetterBreak(j,g)}if(this.linebreakContainer){return false}var q=j.index.slice(0),o=j.index.shift(),n=this.data.length,l,r,k,p=(j.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;j.W+=j.w;j.w=0}k=j.scanW=j.W;j.nest++;while(o<n&&j.scanW<1.33*f.linebreakWidth){if(this.data[o]){if(this.data[o].SVGbetterBreak(j,g)){h=true;q=[o].concat(j.index);l=j.W;r=j.w;if(j.penalty===e.newline){j.index=q;if(j.nest){j.nest--}return true}}k=(p?j.scanW:this.SVGaddWidth(o,j,k))}j.index=[];o++;p=false}if(j.nest){j.nest--}j.index=q;if(h){j.W=l}return h},SVGaddWidth:function(h,k,j){if(this.data[h]){var g=this.data[h].SVGdata;j+=g.w+g.x;if(g.X){j+=g.X}k.W=k.scanW=j;k.w=0}return j},SVGaddLine:function(l,h,k,g,p,n){var q=b();g.first=n;g.last=true;this.SVGmoveLine(h,k,q,g,p);q.Clean();var o=this.SVGgetAlign(g,p),i=this.SVGgetShift(g,p,o);if(i){if(o===a.INDENTALIGN.LEFT){q.x=i}else{if(o===a.INDENTALIGN.RIGHT){q.w+=i;q.r=q.w}}}if(g.n>0){var m=f.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading*g.scale;g.Y-=Math.max(m,g.d+q.h+j)}l.Align(q,o,0,g.Y);g.d=q.d;g.values=p;g.n++},SVGgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},SVGgetShift:function(k,h,m){if(m===a.INDENTALIGN.CENTER){return 0}var l=h,i=k.values,j=k.VALUES,g;if(k.n===0){g=l.indentshiftfirst||i.indentshiftfirst||j.indentshiftfirst}else{if(k.isLast){g=i.indentshiftlast||j.indentshiftlast}else{g=i.indentshift||j.indentshift}}if(g===a.INDENTSHIFT.INDENTSHIFT){g=i.indentshift||j.indentshift}if(g==="auto"||g===""){g=(k.isTSop?this.displayIndent:"0")}return f.length2em(g,0)},SVGmoveLine:function(p,g,k,o,h){var m=p[0],l=g[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&p.length>1){this.data[m].SVGmoveSlice(p.slice(1),g.slice(1),k,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(m<l){if(this.data[m]){if(p.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice(p.slice(1),[],k,o,h,"paddingLeft")}}m++;o.first=false;p=[]}o.last=n;if(this.data[m]){if(g.length<=1){this.data[m].SVGmove(k,o,h)}else{this.data[m].SVGmoveSlice([],g.slice(1),k,o,h,"paddingRight")}}}},SVGmoveSlice:function(m,g,i,j,h,k){var l=b();this.SVGmoveLine(m,g,l,j,h);l.Clean();this.SVGhandleColor(l);i.Add(l,i.w,0,true);return l},SVGmove:function(g,j,i){if(!(j.first||j.last)||(j.first&&j.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(j.last&&i.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var h=this.toSVG(this.SVGdata.HW,this.SVGdata.D);if(j.first||j.nextIsFirst){h.x=0}if(j.last&&h.X){h.X=0}g.Add(h,g.w,0,true)}if(j.first&&h&&h.w===0){j.nextIsFirst=true}else{delete j.nextIsFirst}}});a.mfenced.Augment({SVGbetterBreak:function(l,g){var u=l.index.slice(0),s=l.index.shift(),p=this.data.length,o,v,n,t=(l.index.length>0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r<p;r++){if(this.data["sep"+r]){this.dataI.push("sep"+r)}this.dataI.push(r)}if(this.data.close){this.dataI.push("close")}}p=this.dataI.length;while(s<p&&l.scanW<1.33*f.linebreakWidth){var q=this.dataI[s];if(this.data[q]){if(this.data[q].SVGbetterBreak(l,g)){h=true;u=[s].concat(l.index);o=l.W;v=l.w;if(l.penalty===e.newline){l.index=u;if(l.nest){l.nest--}return true}}n=(t?l.scanW:this.SVGaddWidth(s,l,n))}l.index=[];s++;t=false}if(l.nest){l.nest--}l.index=u;if(h){l.W=o;l.w=v}return h},SVGmoveLine:function(h,m,p,g,r){var o=h[0],n=m[0];if(o==null){o=-1}if(n==null){n=this.dataI.length-1}if(o===n&&h.length>1){this.data[this.dataI[o]].SVGmoveSlice(h.slice(1),m.slice(1),p,g,r,"paddingLeft")}else{var q=g.last;g.last=false;var l=this.dataI[o];while(o<n){if(this.data[l]){if(h.length<=1){this.data[l].SVGmove(p,g,r)}else{this.data[l].SVGmoveSlice(h.slice(1),[],p,g,r,"paddingLeft")}}o++;l=this.dataI[o];g.first=false;h=[]}g.last=q;if(this.data[l]){if(m.length<=1){this.data[l].SVGmove(p,g,r)}else{this.data[l].SVGmoveSlice([],m.slice(1),p,g,r,"paddingRight")}}}}});a.msubsup.Augment({SVGbetterBreak:function(j,g){if(!this.data[this.base]){return false}var o=j.index.slice(0),m=j.index.shift(),l,p,k,n=(j.index.length>0),h=false;if(!n){j.W+=j.w;j.w=0}k=j.scanW=j.W;if(m==null){this.SVGdata.dw=this.SVGdata.w-this.data[this.base].SVGdata.w}if(this.data[this.base].SVGbetterBreak(j,g)){h=true;o=[this.base].concat(j.index);l=j.W;p=j.w;if(j.penalty===e.newline){h=n=true}}if(!n){this.SVGaddWidth(this.base,j,k)}j.scanW+=this.SVGdata.dw;j.W=j.scanW;j.index=[];if(h){j.W=l;j.w=p;j.index=o}return h},SVGmoveLine:function(i,j,m,h,o){if(this.data[this.base]){if(i.length>1){this.data[this.base].SVGmoveSlice(i.slice(1),j.slice(1),m,h,o,"paddingLeft")}else{if(j.length<=1){this.data[this.base].SVGmove(m,h,o)}else{this.data[this.base].SVGmoveSlice([],j.slice(1),m,h,o,"paddingRight")}}}if(j.length===0){var l=this.data[this.sup],g=this.data[this.sub],n=m.w,k;if(l){k=l.SVGdata;m.Add(l.toSVG(),n+(k.dx||0),k.dy)}if(g){k=g.SVGdata;m.Add(g.toSVG(),n+(k.dx||0),k.dy)}}}});a.mmultiscripts.Augment({SVGbetterBreak:function(k,h){if(!this.data[this.base]){return false}var p=k.index.slice(0),n=k.index.shift(),m,q,l,o=(k.index.length>0),j=false;if(!o){k.W+=k.w;k.w=0}k.scanW=k.W;var g=this.SVGdata.w-this.data[this.base].SVGdata.w-this.SVGdata.dx;k.scanW+=this.SVGdata.dx;l=k.scanW;if(this.data[this.base].SVGbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===e.newline){j=o=true}}if(!o){this.SVGaddWidth(this.base,k,l)}k.scanW+=g;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},SVGmoveLine:function(i,k,n,h,p){var q,m=this.SVGdata;if(i.length<1){this.scriptBox=this.SVGgetScripts(this.SVGdata.s);var j=this.scriptBox[2],o=this.scriptBox[3];q=n.w+m.dx;if(o){n.Add(o,q+m.delta-o.w,m.u)}if(j){n.Add(j,q-j.w,-m.v)}}if(this.data[this.base]){if(i.length>1){this.data[this.base].SVGmoveSlice(i.slice(1),k.slice(1),n,h,p,"paddingLeft")}else{if(k.length<=1){this.data[this.base].SVGmove(n,h,p)}else{this.data[this.base].SVGmoveSlice([],k.slice(1),n,h,p,"paddingRight")}}}if(k.length===0){var g=this.scriptBox[0],l=this.scriptBox[1];q=n.w+m.s;if(l){n.Add(l,q,m.u)}if(g){n.Add(g,q-m.delta,-m.v)}delete this.scriptBox}}});a.mo.Augment({SVGbetterBreak:function(i,g){if(i.values&&i.values.last===this){return false}var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}if(q.texClass===a.TEXCLASS.OPEN){i.nest++}if(q.texClass===a.TEXCLASS.CLOSE&&i.nest){i.nest--}var j=i.scanW,k=i.embellished;delete i.embellished;if(!k||!k.SVGdata){k=this}var m=k.SVGdata,p=m.w+m.x;if(q.linebreakstyle===a.LINEBREAKSTYLE.AFTER){j+=p;p=0}if(j-i.shift===0&&q.linebreak!==a.LINEBREAK.NEWLINE){return false}var l=f.linebreakWidth-j;if(g.n===0&&(q.indentshiftfirst!==g.VALUES.indentshiftfirst||q.indentalignfirst!==g.VALUES.indentalignfirst)){var n=this.SVGgetAlign(g,q),h=this.SVGgetShift(g,q,n);l+=(i.shift-h)}var o=Math.floor(l/f.linebreakWidth*1000);if(o<0){o=e.toobig-3*o}if(q.fence){o+=e.fence}if((q.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&q.texClass===a.TEXCLASS.OPEN)||q.texClass===a.TEXCLASS.CLOSE){o+=e.close}o+=i.nest*e.nestfactor;var r=e[q.linebreak||a.LINEBREAK.AUTO];if(!(r instanceof Array)){if(l>=0){o=r*i.nest}}else{o=Math.max(1,o+r[0]*i.nest)}if(o>=i.penalty){return false}i.penalty=o;i.values=q;i.W=j;i.w=p;q.lineleading=f.length2em(q.lineleading,g.VALUES.lineleading);q.last=this;return true}});a.mspace.Augment({SVGbetterBreak:function(h,g){if(h.values&&h.values.last===this){return false}var o=this.getValues("linebreak");var m=o.linebreak;if(!m||this.hasDimAttr()){m=a.LINEBREAK.AUTO}var i=h.scanW,k=this.SVGdata,n=k.w+k.x;if(i-h.shift===0){return false}var j=f.linebreakWidth-i;var l=Math.floor(j/f.linebreakWidth*1000);if(l<0){l=e.toobig-3*l}l+=h.nest*e.nestfactor;var p=e[m];if(m===a.LINEBREAK.AUTO&&n>=e.spacelimit*1000&&!this.mathbackground&&!this.backrgound){p=[(n/1000+e.spaceoffset)*e.spacefactor]}if(!(p instanceof Array)){if(j>=0){l=p*h.nest}}else{l=Math.max(1,l+p[0]*h.nest)}if(l>=h.penalty){return false}h.penalty=l;h.values=o;h.W=i;h.w=n;o.lineleading=g.VALUES.lineleading;o.linebreakstyle="before";o.last=this;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({SVGbetterBreak:function(h,g){return this.Core().SVGbetterBreak(h,g)},SVGmoveLine:function(k,g,i,j,h){return this.Core().SVGmoveSlice(k,g,i,j,h)}})});a.maction.Augment({SVGbetterBreak:function(h,g){return this.Core().SVGbetterBreak(h,g)},SVGmoveLine:function(k,g,i,j,h){return this.Core().SVGmoveSlice(k,g,i,j,h)},});a.semantics.Augment({SVGbetterBreak:function(h,g){return(this.data[0]?this.data[0].SVGbetterBreak(h,g):false)},SVGmoveLine:function(k,g,i,j,h){return(this.data[0]?this.data[0].SVGmoveSlice(k,g,i,j,h):null)}});MathJax.Hub.Startup.signal.Post("SVG multiline Ready");MathJax.Ajax.loadComplete(f.autoloadDir+"/multiline.js")});
diff --git a/jax/output/SVG/config.js b/jax/output/SVG/config.js
index 098289c38..ce6b69cee 100644
--- a/jax/output/SVG/config.js
+++ b/jax/output/SVG/config.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.3",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.4-beta",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:10,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
diff --git a/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js b/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
index 5c453f22b..14591b060 100644
--- a/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(x){var z="2.3";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="AsanaMathJax_Alphabets",u="AsanaMathJax_Arrows",w="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",t="AsanaMathJax_Main",l="AsanaMathJax_Marks",v="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",q="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",s="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:p,HW:[[282,t],[384,k],[542,j],[922,i],[1762,h]]},819:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:p,HW:[[558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:p,HW:[[558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:p,HW:[[558,l],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:p,HW:[[558,t],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{rep:[57358,e],right:[8407,t]}},8417:{dir:p,HW:[[557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,t]}},8425:{dir:p,HW:[[630,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:p,HW:[[557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:p,HW:[[557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:p,HW:[[884,t]],stretch:{left:[57363,e],rep:[9135,s],right:[57370,e]}},8618:{dir:p,HW:[[884,t]],stretch:{left:[57371,e],rep:[9135,s],right:[57367,e]}},8720:{dir:d,HW:[[937,B],[1349,k],[1942,j],[2797,i]]},8721:{dir:d,HW:[[930,B],[1339,k],[1928,j],[2776,i]]},8745:{dir:d,HW:[[603,t],[1559,k],[2245,j],[2588,i]]},8747:{dir:d,HW:[[1327,t],[1964,k],[2711,j],[3470,i]],stretch:{bot:[8993,s],ext:[9134,s],top:[8992,s]}},8748:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8749:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8750:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8751:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8752:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8753:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8754:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8755:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8896:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8897:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8898:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8899:{dir:d,HW:[[939,B],[1559,k],[2245,j],[2588,i]]},9140:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},9185:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},10214:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10215:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10218:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10219:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10748:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10749:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10752:{dir:d,HW:[[1146,B],[1650,k],[2376,j]]},10753:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10754:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10755:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10756:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10757:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10758:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10759:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10760:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10761:{dir:d,HW:[[926,B],[1333,k],[1920,j]]},10764:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10765:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10766:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10767:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10768:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10769:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10770:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10771:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10772:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10773:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10774:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10775:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10776:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10777:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10778:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10779:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]},10780:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(x){var z="2.4-beta";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="AsanaMathJax_Alphabets",u="AsanaMathJax_Arrows",w="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",t="AsanaMathJax_Main",l="AsanaMathJax_Marks",v="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",q="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",s="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:p,HW:[[282,t],[384,k],[542,j],[922,i],[1762,h]]},819:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:p,HW:[[558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:p,HW:[[558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:p,HW:[[558,l],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:p,HW:[[558,t],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{rep:[57358,e],right:[8407,t]}},8417:{dir:p,HW:[[557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,t]}},8425:{dir:p,HW:[[630,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:p,HW:[[557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:p,HW:[[557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:p,HW:[[884,t]],stretch:{left:[57363,e],rep:[9135,s],right:[57370,e]}},8618:{dir:p,HW:[[884,t]],stretch:{left:[57371,e],rep:[9135,s],right:[57367,e]}},8720:{dir:d,HW:[[937,B],[1349,k],[1942,j],[2797,i]]},8721:{dir:d,HW:[[930,B],[1339,k],[1928,j],[2776,i]]},8745:{dir:d,HW:[[603,t],[1559,k],[2245,j],[2588,i]]},8747:{dir:d,HW:[[1327,t],[1964,k],[2711,j],[3470,i]],stretch:{bot:[8993,s],ext:[9134,s],top:[8992,s]}},8748:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8749:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8750:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8751:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8752:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8753:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8754:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8755:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8896:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8897:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8898:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8899:{dir:d,HW:[[939,B],[1559,k],[2245,j],[2588,i]]},9140:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},9185:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},10214:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10215:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10218:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10219:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10748:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10749:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10752:{dir:d,HW:[[1146,B],[1650,k],[2376,j]]},10753:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10754:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10755:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10756:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10757:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10758:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10759:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10760:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10761:{dir:d,HW:[[926,B],[1333,k],[1920,j]]},10764:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10765:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10766:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10767:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10768:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10769:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10770:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10771:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10772:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10773:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10774:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10775:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10776:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10777:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10778:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10779:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]},10780:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Asana-Math/fontdata.js b/jax/output/SVG/fonts/Asana-Math/fontdata.js
index afbc5b702..d2c95f674 100644
--- a/jax/output/SVG/fonts/Asana-Math/fontdata.js
+++ b/jax/output/SVG/fonts/Asana-Math/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(z,e,E,o){var B="2.3";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",C="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",F="AsanaMathJax_Monospace",A="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",D="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",q="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",p="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[883,v],[1270,v,1.439],[1719,v,1.946],[2167,v,2.454],[2615,v,2.961]]},93:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i],[2712,g],[3177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:773,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[312,v],[453,m],[633,l],[1055,k],[2017,i],[3026,g]]},771:{dir:r,HW:[[330,v],[701,m],[1053,l],[1403,k],[1865,i],[2797,g]]},773:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[312,v],[737,m],[1105,l],[1474,k],[1960,i],[2940,g]]},818:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[837,v],[1205,m],[1471,l],[1795,k],[2189,i],[2615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[937,D],[1349,m],[1942,l],[2797,k]]},8720:j,8721:j,8722:{alias:773,dir:r},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1138,v],[1280,m],[1912,l],[2543,k],[3175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[885,v,null,124],[1270,v,1.435,124],[1719,v,1.942,124],[2167,v,2.448,124],[2615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10182:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10217:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size6/Regular/Main.js",function(){var G;G=z.FONTDATA.DELIMITERS[9182].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100;G=z.FONTDATA.DELIMITERS[9183].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;z.FONTDATA.FONTS[m][8747][2]-=300;for(G=8748;G<=8755;G++){z.FONTDATA.FONTS[m][G][2]-=420}for(G=10764;G<=10780;G++){z.FONTDATA.FONTS[m][G][2]-=420}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(z,e,E,o){var B="2.4-beta";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",C="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",F="AsanaMathJax_Monospace",A="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",D="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",q="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",p="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[883,v],[1270,v,1.439],[1719,v,1.946],[2167,v,2.454],[2615,v,2.961]]},93:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i],[2712,g],[3177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:773,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[312,v],[453,m],[633,l],[1055,k],[2017,i],[3026,g]]},771:{dir:r,HW:[[330,v],[701,m],[1053,l],[1403,k],[1865,i],[2797,g]]},773:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[312,v],[737,m],[1105,l],[1474,k],[1960,i],[2940,g]]},818:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[837,v],[1205,m],[1471,l],[1795,k],[2189,i],[2615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[937,D],[1349,m],[1942,l],[2797,k]]},8720:j,8721:j,8722:{alias:773,dir:r},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1138,v],[1280,m],[1912,l],[2543,k],[3175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[885,v,null,124],[1270,v,1.435,124],[1719,v,1.942,124],[2167,v,2.448,124],[2615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10182:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10217:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size6/Regular/Main.js",function(){var G;G=z.FONTDATA.DELIMITERS[9182].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100;G=z.FONTDATA.DELIMITERS[9183].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;z.FONTDATA.FONTS[m][8747][2]-=300;for(G=8748;G<=8755;G++){z.FONTDATA.FONTS[m][G][2]-=420}for(G=10764;G<=10780;G++){z.FONTDATA.FONTS[m][G][2]-=420}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js b/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
index 743586ed1..85940e7fc 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(x){var z="2.3";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyrePagellaMathJax_Alphabets",u="GyrePagellaMathJax_Arrows",w="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",t="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",v="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",q="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",s="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:p,HW:[[362,t],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},785:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},812:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},813:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},814:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},815:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},816:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1042,h],[1247,f],[1496,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[367,l],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[558,t],[876,k]]},8599:{dir:d,HW:[[558,t],[876,k]]},8600:{dir:d,HW:[[558,t],[876,k]]},8601:{dir:d,HW:[[558,t],[876,k]]},8602:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[845,t],[1295,k]]},8622:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[645,t],[915,k]]},8625:{dir:d,HW:[[644,t],[915,k]]},8626:{dir:d,HW:[[645,u],[915,k]]},8627:{dir:d,HW:[[644,u],[915,k]]},8630:{dir:p,HW:[[685,t],[1022,k]]},8631:{dir:p,HW:[[685,t],[1022,k]]},8636:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[622,u],[940,k]]},8663:{dir:d,HW:[[622,u],[940,k]]},8664:{dir:d,HW:[[622,u],[940,k]]},8665:{dir:d,HW:[[622,u],[940,k]]},8666:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[760,u],[1210,k]]},8669:{dir:p,HW:[[760,t],[1210,k]]},8678:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[910,u],[1360,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[760,u],[1210,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,B],[1442,k]]},8720:{dir:d,HW:[[1000,B],[1442,k]]},8721:{dir:d,HW:[[1000,B],[1442,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57656,e],ext:[9134,s],bot:[57657,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[600,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[600,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[974,B],[1411,k]]},8897:{dir:d,HW:[[974,B],[1411,k]]},8898:{dir:d,HW:[[978,B],[1402,k]]},8899:{dir:d,HW:[[978,B],[1402,k]]},9140:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[835,v],[1285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10219:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10752:{dir:d,HW:[[916,B],[1188,k]]},10753:{dir:d,HW:[[916,B],[1188,k]]},10754:{dir:d,HW:[[916,B],[1188,k]]},10755:{dir:d,HW:[[978,B],[1402,k]]},10756:{dir:d,HW:[[978,B],[1402,k]]},10757:{dir:d,HW:[[960,B],[1384,k]]},10758:{dir:d,HW:[[960,B],[1384,k]]},10761:{dir:d,HW:[[770,B],[974,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[909,b],[1359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[835,b],[1285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[845,b],[1295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[845,b],[1295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[760,b],[1210,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(x){var z="2.4-beta";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyrePagellaMathJax_Alphabets",u="GyrePagellaMathJax_Arrows",w="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",t="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",v="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",q="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",s="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:p,HW:[[362,t],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},785:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},812:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},813:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},814:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},815:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},816:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1042,h],[1247,f],[1496,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[367,l],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[558,t],[876,k]]},8599:{dir:d,HW:[[558,t],[876,k]]},8600:{dir:d,HW:[[558,t],[876,k]]},8601:{dir:d,HW:[[558,t],[876,k]]},8602:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[845,t],[1295,k]]},8622:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[645,t],[915,k]]},8625:{dir:d,HW:[[644,t],[915,k]]},8626:{dir:d,HW:[[645,u],[915,k]]},8627:{dir:d,HW:[[644,u],[915,k]]},8630:{dir:p,HW:[[685,t],[1022,k]]},8631:{dir:p,HW:[[685,t],[1022,k]]},8636:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[622,u],[940,k]]},8663:{dir:d,HW:[[622,u],[940,k]]},8664:{dir:d,HW:[[622,u],[940,k]]},8665:{dir:d,HW:[[622,u],[940,k]]},8666:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[760,u],[1210,k]]},8669:{dir:p,HW:[[760,t],[1210,k]]},8678:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[910,u],[1360,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[760,u],[1210,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,B],[1442,k]]},8720:{dir:d,HW:[[1000,B],[1442,k]]},8721:{dir:d,HW:[[1000,B],[1442,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57656,e],ext:[9134,s],bot:[57657,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[600,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[600,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[974,B],[1411,k]]},8897:{dir:d,HW:[[974,B],[1411,k]]},8898:{dir:d,HW:[[978,B],[1402,k]]},8899:{dir:d,HW:[[978,B],[1402,k]]},9140:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[835,v],[1285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10219:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10752:{dir:d,HW:[[916,B],[1188,k]]},10753:{dir:d,HW:[[916,B],[1188,k]]},10754:{dir:d,HW:[[916,B],[1188,k]]},10755:{dir:d,HW:[[978,B],[1402,k]]},10756:{dir:d,HW:[[978,B],[1402,k]]},10757:{dir:d,HW:[[960,B],[1384,k]]},10758:{dir:d,HW:[[960,B],[1384,k]]},10761:{dir:d,HW:[[770,B],[974,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[909,b],[1359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[835,b],[1285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[845,b],[1295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[845,b],[1295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[760,b],[1210,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js b/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
index 45e502c0c..0f6aea047 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(z,e,E,o){var B="2.3";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",C="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",F="GyrePagellaMathJax_Monospace",A="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",D="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",q="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",p="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[600,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},771:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1042,i],[1247,g],[1496,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1000,y],[1442,m]]},8592:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[760,w],[1210,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[600,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[790,v],[1150,m],[1510,l],[1870,k],[2230,i],[2590,g],[2950,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9002:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1269,v,1.586,124],[1717,v,2.146,124],[2164,v,2.705,124],[2612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10217:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10218:j,10219:j,10222:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=190}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=100}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(z,e,E,o){var B="2.4-beta";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",C="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",F="GyrePagellaMathJax_Monospace",A="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",D="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",q="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",p="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[600,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},771:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1042,i],[1247,g],[1496,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1000,y],[1442,m]]},8592:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[760,w],[1210,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[600,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[790,v],[1150,m],[1510,l],[1870,k],[2230,i],[2590,g],[2950,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9002:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1269,v,1.586,124],[1717,v,2.146,124],[2164,v,2.705,124],[2612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10217:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10218:j,10219:j,10222:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=190}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=100}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js b/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
index 99aee1507..f4306cdee 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(x){var z="2.3";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyreTermesMathJax_Alphabets",u="GyreTermesMathJax_Arrows",w="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",t="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",v="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",q="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",s="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:p,HW:[[350,t],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},785:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},812:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},813:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},814:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},815:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},816:{dir:p,HW:[[334,l],[601,k],[720,j],[863,i],[1037,h],[1241,f],[1491,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[375,l],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[506,t],[733,k]]},8599:{dir:d,HW:[[506,t],[733,k]]},8600:{dir:d,HW:[[506,t],[733,k]]},8601:{dir:d,HW:[[506,t],[733,k]]},8602:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[880,t],[1200,k]]},8622:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[696,t],[888,k]]},8625:{dir:d,HW:[[696,t],[888,k]]},8626:{dir:d,HW:[[696,u],[888,k]]},8627:{dir:d,HW:[[696,u],[888,k]]},8630:{dir:p,HW:[[639,t],[879,k]]},8631:{dir:p,HW:[[639,t],[879,k]]},8636:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[560,u],[787,k]]},8663:{dir:d,HW:[[560,u],[787,k]]},8664:{dir:d,HW:[[560,u],[787,k]]},8665:{dir:d,HW:[[560,u],[787,k]]},8666:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[690,u],[1010,k]]},8669:{dir:p,HW:[[690,t],[1010,k]]},8678:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[930,u],[1250,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[690,u],[1010,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[954,B],[1374,k]]},8720:{dir:d,HW:[[954,B],[1374,k]]},8721:{dir:d,HW:[[954,B],[1374,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57653,e],ext:[9134,s],bot:[57654,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[500,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[500,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[888,B],[1165,k]]},8897:{dir:d,HW:[[888,B],[1165,k]]},8898:{dir:d,HW:[[898,B],[1170,k]]},8899:{dir:d,HW:[[898,B],[1170,k]]},9140:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[870,v],[1190,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10219:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10752:{dir:d,HW:[[876,B],[1132,k]]},10753:{dir:d,HW:[[876,B],[1132,k]]},10754:{dir:d,HW:[[876,B],[1132,k]]},10755:{dir:d,HW:[[898,B],[1170,k]]},10756:{dir:d,HW:[[898,B],[1170,k]]},10757:{dir:d,HW:[[880,B],[1152,k]]},10758:{dir:d,HW:[[880,B],[1152,k]]},10761:{dir:d,HW:[[716,B],[906,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]]},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[931,b],[1251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[870,b],[1190,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[880,b],[1200,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[880,b],[1200,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[690,b],[1010,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(x){var z="2.4-beta";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyreTermesMathJax_Alphabets",u="GyreTermesMathJax_Arrows",w="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",t="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",v="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",q="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",s="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:p,HW:[[350,t],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},785:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},812:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},813:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},814:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},815:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},816:{dir:p,HW:[[334,l],[601,k],[720,j],[863,i],[1037,h],[1241,f],[1491,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[375,l],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[506,t],[733,k]]},8599:{dir:d,HW:[[506,t],[733,k]]},8600:{dir:d,HW:[[506,t],[733,k]]},8601:{dir:d,HW:[[506,t],[733,k]]},8602:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[880,t],[1200,k]]},8622:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[696,t],[888,k]]},8625:{dir:d,HW:[[696,t],[888,k]]},8626:{dir:d,HW:[[696,u],[888,k]]},8627:{dir:d,HW:[[696,u],[888,k]]},8630:{dir:p,HW:[[639,t],[879,k]]},8631:{dir:p,HW:[[639,t],[879,k]]},8636:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[560,u],[787,k]]},8663:{dir:d,HW:[[560,u],[787,k]]},8664:{dir:d,HW:[[560,u],[787,k]]},8665:{dir:d,HW:[[560,u],[787,k]]},8666:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[690,u],[1010,k]]},8669:{dir:p,HW:[[690,t],[1010,k]]},8678:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[930,u],[1250,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[690,u],[1010,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[954,B],[1374,k]]},8720:{dir:d,HW:[[954,B],[1374,k]]},8721:{dir:d,HW:[[954,B],[1374,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57653,e],ext:[9134,s],bot:[57654,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[500,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[500,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[888,B],[1165,k]]},8897:{dir:d,HW:[[888,B],[1165,k]]},8898:{dir:d,HW:[[898,B],[1170,k]]},8899:{dir:d,HW:[[898,B],[1170,k]]},9140:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[870,v],[1190,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10219:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10752:{dir:d,HW:[[876,B],[1132,k]]},10753:{dir:d,HW:[[876,B],[1132,k]]},10754:{dir:d,HW:[[876,B],[1132,k]]},10755:{dir:d,HW:[[898,B],[1170,k]]},10756:{dir:d,HW:[[898,B],[1170,k]]},10757:{dir:d,HW:[[880,B],[1152,k]]},10758:{dir:d,HW:[[880,B],[1152,k]]},10761:{dir:d,HW:[[716,B],[906,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]]},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[931,b],[1251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[870,b],[1190,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[880,b],[1200,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[880,b],[1200,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[690,b],[1010,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Gyre-Termes/fontdata.js b/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
index 2cbc9eae9..2d45360e7 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(z,e,E,o){var B="2.3";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",C="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",F="GyreTermesMathJax_Monospace",A="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",D="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",q="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",p="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[500,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},771:{dir:r,HW:[[334,v],[601,m],[720,l],[863,k],[1037,i],[1241,g],[1491,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[956,y],[1360,m]]},8592:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[690,w],[1010,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[500,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[706,v],[1090,m],[1474,l],[1858,k],[2242,i],[2626,g],[3010,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9002:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1350,v,1.688,124],[1827,v,2.283,124],[2303,v,2.879,124],[2780,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10217:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=200}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=150}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(z,e,E,o){var B="2.4-beta";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",C="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",F="GyreTermesMathJax_Monospace",A="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",D="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",q="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",p="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:773,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[500,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:773,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},771:{dir:r,HW:[[334,v],[601,m],[720,l],[863,k],[1037,i],[1241,g],[1491,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:773,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:773,dir:r},8254:{alias:773,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[956,y],[1360,m]]},8592:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[690,w],[1010,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[[500,v]],stretch:{left:[57639,f],rep:[57640,f],right:[57641,f]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[706,v],[1090,m],[1474,l],[1858,k],[2242,i],[2626,g],[3010,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},9001:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9002:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:773,dir:r},9136:{dir:d,HW:[[607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1350,v,1.688,124],[1827,v,2.283,124],[2303,v,2.879,124],[2780,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:773,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10217:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=200}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=150}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js b/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
index 4463aa272..8f1691b33 100644
--- a/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(y){var A="2.3";var p=y.FONTDATA.DELIMITERS;var q="H",d="V";var c="LatinModernMathJax_Alphabets",v="LatinModernMathJax_Arrows",x="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",u="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",w="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",r="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",t="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:q,HW:[[374,u],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},785:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},812:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},813:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},814:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},815:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},816:{dir:q,HW:[[370,m],[652,l],[778,k],[931,j],[1115,i],[1335,g],[1599,f],[1915,e]]},819:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[416,u],[547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[470,m],[603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[360,m],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[917,u],[1383,l]]},8599:{dir:d,HW:[[917,u],[1383,l]]},8600:{dir:d,HW:[[917,u],[1383,l]]},8601:{dir:d,HW:[[917,u],[1383,l]]},8602:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[884,u],[1330,l]]},8622:{dir:q,HW:[[884,u],[1330,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[858,u],[1168,l]]},8625:{dir:d,HW:[[858,u],[1168,l]]},8626:{dir:d,HW:[[858,v],[1168,l]]},8627:{dir:d,HW:[[858,v],[1168,l]]},8630:{dir:q,HW:[[868,u],[1218,l]]},8631:{dir:q,HW:[[868,u],[1218,l]]},8636:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[956,u],[1422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[954,v],[1420,l]]},8663:{dir:d,HW:[[954,v],[1420,l]]},8664:{dir:d,HW:[[954,v],[1420,l]]},8665:{dir:d,HW:[[954,v],[1420,l]]},8666:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[885,v],[1351,l]]},8669:{dir:q,HW:[[885,u],[1351,l]]},8678:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[950,v],[1396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[885,v],[1351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,C],[1400,l]]},8720:{dir:d,HW:[[1000,C],[1400,l]]},8721:{dir:d,HW:[[1000,C],[1400,l]]},8747:{dir:d,HW:[[1111,u],[2222,l]]},8748:{dir:d,HW:[[1111,C],[2222,l]]},8749:{dir:d,HW:[[1111,C],[2222,l]]},8750:{dir:d,HW:[[1111,C],[2222,l]]},8751:{dir:d,HW:[[1111,C],[2222,l]]},8752:{dir:d,HW:[[1111,C],[2222,l]]},8753:{dir:d,HW:[[1111,C],[2222,l]]},8754:{dir:d,HW:[[1111,C],[2222,l]]},8755:{dir:d,HW:[[1111,C],[2222,l]]},8801:{dir:q,HW:[[666,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[684,u],[868,l]]},8867:{dir:d,HW:[[684,u],[868,l]]},8868:{dir:d,HW:[[684,u],[868,l]]},8869:{dir:d,HW:[[684,u],[868,l]]},8896:{dir:d,HW:[[1044,C],[1393,l]]},8897:{dir:d,HW:[[1044,C],[1393,l]]},8898:{dir:d,HW:[[1022,C],[1356,l]]},8899:{dir:d,HW:[[1022,C],[1356,l]]},9140:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[865,w],[1311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10219:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10752:{dir:d,HW:[[986,C],[1304,l]]},10753:{dir:d,HW:[[986,C],[1304,l]]},10754:{dir:d,HW:[[986,C],[1304,l]]},10755:{dir:d,HW:[[1022,C],[1356,l]]},10756:{dir:d,HW:[[1022,C],[1356,l]]},10757:{dir:d,HW:[[1028,C],[1372,l]]},10758:{dir:d,HW:[[1028,C],[1372,l]]},10761:{dir:d,HW:[[980,C],[1259,l]]},10764:{dir:d,HW:[[1111,C],[2222,l]]},10769:{dir:d,HW:[[1111,C],[2222,l]]},11012:{dir:q,HW:[[950,b],[1396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[865,b],[1311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[844,b],[1290,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[844,b],[1290,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[885,b],[1351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in D){if(D.hasOwnProperty(s)){p[s]=D[s]}}MathJax.Ajax.loadComplete(y.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(y){var A="2.4-beta";var p=y.FONTDATA.DELIMITERS;var q="H",d="V";var c="LatinModernMathJax_Alphabets",v="LatinModernMathJax_Arrows",x="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",u="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",w="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",r="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",t="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:q,HW:[[374,u],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},785:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},812:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},813:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},814:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},815:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},816:{dir:q,HW:[[370,m],[652,l],[778,k],[931,j],[1115,i],[1335,g],[1599,f],[1915,e]]},819:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[416,u],[547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[470,m],[603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[360,m],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[917,u],[1383,l]]},8599:{dir:d,HW:[[917,u],[1383,l]]},8600:{dir:d,HW:[[917,u],[1383,l]]},8601:{dir:d,HW:[[917,u],[1383,l]]},8602:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[884,u],[1330,l]]},8622:{dir:q,HW:[[884,u],[1330,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[858,u],[1168,l]]},8625:{dir:d,HW:[[858,u],[1168,l]]},8626:{dir:d,HW:[[858,v],[1168,l]]},8627:{dir:d,HW:[[858,v],[1168,l]]},8630:{dir:q,HW:[[868,u],[1218,l]]},8631:{dir:q,HW:[[868,u],[1218,l]]},8636:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[956,u],[1422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[954,v],[1420,l]]},8663:{dir:d,HW:[[954,v],[1420,l]]},8664:{dir:d,HW:[[954,v],[1420,l]]},8665:{dir:d,HW:[[954,v],[1420,l]]},8666:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[885,v],[1351,l]]},8669:{dir:q,HW:[[885,u],[1351,l]]},8678:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[950,v],[1396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[885,v],[1351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,C],[1400,l]]},8720:{dir:d,HW:[[1000,C],[1400,l]]},8721:{dir:d,HW:[[1000,C],[1400,l]]},8747:{dir:d,HW:[[1111,u],[2222,l]]},8748:{dir:d,HW:[[1111,C],[2222,l]]},8749:{dir:d,HW:[[1111,C],[2222,l]]},8750:{dir:d,HW:[[1111,C],[2222,l]]},8751:{dir:d,HW:[[1111,C],[2222,l]]},8752:{dir:d,HW:[[1111,C],[2222,l]]},8753:{dir:d,HW:[[1111,C],[2222,l]]},8754:{dir:d,HW:[[1111,C],[2222,l]]},8755:{dir:d,HW:[[1111,C],[2222,l]]},8801:{dir:q,HW:[[666,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[684,u],[868,l]]},8867:{dir:d,HW:[[684,u],[868,l]]},8868:{dir:d,HW:[[684,u],[868,l]]},8869:{dir:d,HW:[[684,u],[868,l]]},8896:{dir:d,HW:[[1044,C],[1393,l]]},8897:{dir:d,HW:[[1044,C],[1393,l]]},8898:{dir:d,HW:[[1022,C],[1356,l]]},8899:{dir:d,HW:[[1022,C],[1356,l]]},9140:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[865,w],[1311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10219:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10752:{dir:d,HW:[[986,C],[1304,l]]},10753:{dir:d,HW:[[986,C],[1304,l]]},10754:{dir:d,HW:[[986,C],[1304,l]]},10755:{dir:d,HW:[[1022,C],[1356,l]]},10756:{dir:d,HW:[[1022,C],[1356,l]]},10757:{dir:d,HW:[[1028,C],[1372,l]]},10758:{dir:d,HW:[[1028,C],[1372,l]]},10761:{dir:d,HW:[[980,C],[1259,l]]},10764:{dir:d,HW:[[1111,C],[2222,l]]},10769:{dir:d,HW:[[1111,C],[2222,l]]},11012:{dir:q,HW:[[950,b],[1396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[865,b],[1311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[844,b],[1290,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[844,b],[1290,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[885,b],[1351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in D){if(D.hasOwnProperty(s)){p[s]=D[s]}}MathJax.Ajax.loadComplete(y.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Latin-Modern/fontdata.js b/jax/output/SVG/fonts/Latin-Modern/fontdata.js
index afbf7ce33..c228fd4f5 100644
--- a/jax/output/SVG/fonts/Latin-Modern/fontdata.js
+++ b/jax/output/SVG/fonts/Latin-Modern/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(A,f,F,p){var C="2.3";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",D="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",G="LatinModernMathJax_Monospace",B="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",E="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",r="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",q="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};A.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},bold:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},bolditalic:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[D],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[D],bold:true,offsetA:120172},script:{fonts:[r],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[r],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[G],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[q,w,t,G,i,c,o,x,E,v,b,y,B,n]},"-tex-caligraphic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true},"-tex-oldstyle":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},"-tex-caligraphic-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true},"-tex-mathit":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:773,dir:s},47:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},61:{dir:s,HW:[[666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},93:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:773,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},771:{dir:s,HW:[[370,w],[652,n],[778,m],[931,l],[1115,j],[1335,h],[1599,g],[1915,e]]},773:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57595,e],rep:[57596,e],right:[57597,e]}},774:u,780:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:773,dir:s},8214:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:773,dir:s},8254:{alias:773,dir:s},8260:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[884,w],[1330,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1014,w],[1014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[865,x],[1331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[865,w],[1331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[956,w],[1422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[956,w],[1422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1000,w],[1200,n],[1800,m],[2400,l],[3000,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v]}},9001:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9002:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9130:{dir:d,HW:[[748,v]],stretch:{ext:[9130,v]}},9135:{alias:773,dir:s},9136:{dir:d,HW:[[750,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[750,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1000,w,null,124],[1309,w,1.309,124],[1771,w,1.771,124],[2233,w,2.233,124],[2695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:773,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10217:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size7/Regular/Main.js",function(){var H;H=A.FONTDATA.DELIMITERS[9182].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200;H=A.FONTDATA.DELIMITERS[9183].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size1/Regular/Main.js",function(){A.FONTDATA.FONTS[n][8747][2]-=425;A.FONTDATA.FONTS[n][8748][2]-=425;A.FONTDATA.FONTS[n][8749][2]-=425;A.FONTDATA.FONTS[n][8750][2]-=425;A.FONTDATA.FONTS[n][8751][2]-=425;A.FONTDATA.FONTS[n][8752][2]-=425;A.FONTDATA.FONTS[n][8753][2]-=425;A.FONTDATA.FONTS[n][8754][2]-=425;A.FONTDATA.FONTS[n][8755][2]-=425;A.FONTDATA.FONTS[n][10764][2]-=425;A.FONTDATA.FONTS[n][10769][2]-=425});F.loadComplete(A.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(A,f,F,p){var C="2.4-beta";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",D="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",G="LatinModernMathJax_Monospace",B="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",E="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",r="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",q="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};A.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},bold:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[D],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[D],bold:true,offsetA:120172},script:{fonts:[r],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[r],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[G],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[q,w,t,G,i,c,o,x,E,v,b,y,B,n]},"-tex-caligraphic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true},"-tex-oldstyle":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},"-tex-caligraphic-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true},"-tex-mathit":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:773,REMAP:{9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:773,dir:s},47:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},61:{dir:s,HW:[[666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},93:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:773,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},771:{dir:s,HW:[[370,w],[652,n],[778,m],[931,l],[1115,j],[1335,h],[1599,g],[1915,e]]},773:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57595,e],rep:[57596,e],right:[57597,e]}},774:u,780:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:773,dir:s},8214:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:773,dir:s},8254:{alias:773,dir:s},8260:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[884,w],[1330,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1014,w],[1014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[865,x],[1331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[865,w],[1331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[956,w],[1422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[956,w],[1422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1000,w],[1200,n],[1800,m],[2400,l],[3000,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v]}},9001:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9002:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9130:{dir:d,HW:[[748,v]],stretch:{ext:[9130,v]}},9135:{alias:773,dir:s},9136:{dir:d,HW:[[750,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[750,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1000,w,null,124],[1309,w,1.309,124],[1771,w,1.771,124],[2233,w,2.233,124],[2695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:773,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10217:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size7/Regular/Main.js",function(){var H;H=A.FONTDATA.DELIMITERS[9182].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200;H=A.FONTDATA.DELIMITERS[9183].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size1/Regular/Main.js",function(){A.FONTDATA.FONTS[n][8747][2]-=425;A.FONTDATA.FONTS[n][8748][2]-=425;A.FONTDATA.FONTS[n][8749][2]-=425;A.FONTDATA.FONTS[n][8750][2]-=425;A.FONTDATA.FONTS[n][8751][2]-=425;A.FONTDATA.FONTS[n][8752][2]-=425;A.FONTDATA.FONTS[n][8753][2]-=425;A.FONTDATA.FONTS[n][8754][2]-=425;A.FONTDATA.FONTS[n][8755][2]-=425;A.FONTDATA.FONTS[n][10764][2]-=425;A.FONTDATA.FONTS[n][10769][2]-=425});F.loadComplete(A.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js b/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
index 67f11d613..4e681e3d4 100644
--- a/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(u){var w="2.3";var l=u.FONTDATA.DELIMITERS;var n="H",d="V";var b="NeoEulerMathJax_Alphabets",s="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",r="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",o="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",q="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",t="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[912,r],[1199,j],[1799,h],[2399,g],[2999,f]]},8417:{dir:n,HW:[[449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,r]}},8430:{dir:n,HW:[[418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:n,HW:[[418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1000,y],[1400,j]]},8720:{dir:d,HW:[[1000,y],[1400,j]]},8721:{dir:d,HW:[[1000,y],[1400,j]]},8743:{dir:d,HW:[[718,r],[998,j],[1395,h]]},8744:{dir:d,HW:[[700,r],[998,j],[1395,h]]},8745:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8746:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8747:{dir:d,HW:[[1111,r],[2222,j]]},8748:{dir:d,HW:[[1111,y],[2222,j]]},8749:{dir:d,HW:[[1111,y],[2222,j]]},8750:{dir:d,HW:[[1111,y],[2222,j]]},8846:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8896:{dir:d,HW:[[718,y],[998,j],[1395,h]]},8897:{dir:d,HW:[[700,y],[998,j],[1395,h]]},8898:{dir:d,HW:[[600,y],[965,j],[1358,h]]},8899:{dir:d,HW:[[600,y],[965,j],[1358,h]]},9180:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1111,y],[2222,j]]}};for(var p in z){if(z.hasOwnProperty(p)){l[p]=z[p]}}MathJax.Ajax.loadComplete(u.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(u){var w="2.4-beta";var l=u.FONTDATA.DELIMITERS;var n="H",d="V";var b="NeoEulerMathJax_Alphabets",s="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",r="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",o="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",q="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",t="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[912,r],[1199,j],[1799,h],[2399,g],[2999,f]]},8417:{dir:n,HW:[[449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,r]}},8430:{dir:n,HW:[[418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:n,HW:[[418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1000,y],[1400,j]]},8720:{dir:d,HW:[[1000,y],[1400,j]]},8721:{dir:d,HW:[[1000,y],[1400,j]]},8743:{dir:d,HW:[[718,r],[998,j],[1395,h]]},8744:{dir:d,HW:[[700,r],[998,j],[1395,h]]},8745:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8746:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8747:{dir:d,HW:[[1111,r],[2222,j]]},8748:{dir:d,HW:[[1111,y],[2222,j]]},8749:{dir:d,HW:[[1111,y],[2222,j]]},8750:{dir:d,HW:[[1111,y],[2222,j]]},8846:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8896:{dir:d,HW:[[718,y],[998,j],[1395,h]]},8897:{dir:d,HW:[[700,y],[998,j],[1395,h]]},8898:{dir:d,HW:[[600,y],[965,j],[1358,h]]},8899:{dir:d,HW:[[600,y],[965,j],[1358,h]]},9180:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1111,y],[2222,j]]}};for(var p in z){if(z.hasOwnProperty(p)){l[p]=z[p]}}MathJax.Ajax.loadComplete(u.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Neo-Euler/fontdata.js b/jax/output/SVG/fonts/Neo-Euler/fontdata.js
index c550c5835..734799a01 100644
--- a/jax/output/SVG/fonts/Neo-Euler/fontdata.js
+++ b/jax/output/SVG/fonts/Neo-Euler/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(w,e,B,m){var y="2.3";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",z="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",x="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Operators",o="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",n="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",C="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};w.Augment({FONTDATA:{version:y,baselineskip:1200,lineH:800,lineD:200,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,A,s,c,n,x,l]},bold:{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},bolditalic:{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[z],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[z],bold:true,offsetA:120172},script:{fonts:[o],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[o],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[C],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:175,REMAP:{8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[912,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},61:{dir:p,HW:[[668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[914,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},93:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[867,t],[1567,l]]},8657:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[867,t],[1567,l]]},8659:{dir:p,HW:[[640,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[867,t,null,8656],[1632,l]]},8661:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{alias:175,dir:p},8725:{dir:d,HW:[[912,t],[1199,l],[1799,j],[2399,i],[2999,g]]},8730:{dir:d,HW:[[989,t],[1209,l],[1801,j],[2403,i],[3003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[795,t],[1505,l],[2105,j],[2706,i],[3306,g]]},8741:{dir:d,HW:[[905,t],[905,l],[1505,j],[2105,i],[2706,g],[3306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},9001:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9002:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9130:{dir:d,HW:[[320,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[905,t,null,124],[1150,t,1.271,124],[1556,t,1.719,124],[1961,t,2.167,124],[2367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10217:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(w.fontDir+"/Size5/Regular/Main.js",function(){var D;D=w.FONTDATA.DELIMITERS[9182].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200;D=w.FONTDATA.DELIMITERS[9183].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200});B.loadComplete(w.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(w,e,B,m){var y="2.4-beta";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",z="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",x="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Operators",o="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",n="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",C="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};w.Augment({FONTDATA:{version:y,baselineskip:1200,lineH:800,lineD:200,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,A,s,c,n,x,l]},bold:{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[z],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[z],bold:true,offsetA:120172},script:{fonts:[o],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[o],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[C],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:175,REMAP:{8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[912,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},61:{dir:p,HW:[[668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[914,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},93:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[867,t],[1567,l]]},8657:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[867,t],[1567,l]]},8659:{dir:p,HW:[[640,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[867,t,null,8656],[1632,l]]},8661:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{alias:175,dir:p},8725:{dir:d,HW:[[912,t],[1199,l],[1799,j],[2399,i],[2999,g]]},8730:{dir:d,HW:[[989,t],[1209,l],[1801,j],[2403,i],[3003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[795,t],[1505,l],[2105,j],[2706,i],[3306,g]]},8741:{dir:d,HW:[[905,t],[905,l],[1505,j],[2105,i],[2706,g],[3306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},9001:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9002:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9130:{dir:d,HW:[[320,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[905,t,null,124],[1150,t,1.271,124],[1556,t,1.719,124],[1961,t,2.167,124],[2367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10217:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(w.fontDir+"/Size5/Regular/Main.js",function(){var D;D=w.FONTDATA.DELIMITERS[9182].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200;D=w.FONTDATA.DELIMITERS[9183].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200});B.loadComplete(w.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js b/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
index 5d95d2b4e..fa25a65fd 100644
--- a/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
+++ b/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(L){var B="2.3";var t=L.FONTDATA.DELIMITERS;var s="H",f="V";var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",aj="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",aa="STIXMathJax_Marks",ah="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ae="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",ak="STIXMathJax_Monospace",ac="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",al="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",X="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",af="STIXMathJax_Size1",ad="STIXMathJax_Size2",ab="STIXMathJax_Size3",Z="STIXMathJax_Size4",Y="STIXMathJax_Size5",ag="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ai="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var n={61:{dir:s,HW:[[589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[311,E],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},717:{dir:s,HW:[[312,aa]],stretch:{rep:[717,aa]}},759:{dir:s,HW:[[330,aa],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},8400:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57365,Y],rep:[57366,Y]}},8401:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57366,Y],right:[57367,Y]}},8406:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57368,Y],rep:[57366,Y]}},8417:{dir:s,HW:[[478,aa]],stretch:{left:[57368,Y],rep:[57366,Y],right:[57369,Y]}},8428:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57371,Y]}},8429:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57372,Y],rep:[57370,Y]}},8430:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57373,Y],rep:[57370,Y]}},8431:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57374,Y]}},8512:{dir:f,HW:[[1022,b],[1450,af]]},8606:{dir:s,HW:[[786,E]],stretch:{left:[8606,E],rep:[8722,E]}},8607:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[786,E]],stretch:{right:[8608,E],rep:[8722,E]}},8609:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[816,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[786,E]],stretch:{left:[8592,E],rep:[8722,E],right:[57525,x]}},8618:{dir:s,HW:[[786,E]],stretch:{left:[57524,x],rep:[8722,E],right:[8594,E]}},8624:{dir:f,HW:[[818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[847,E]],stretch:{right:[8641,E],rep:[8722,E]}},8642:{dir:f,HW:[[818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[806,E]],stretch:{left:[8666,E],rep:[57377,Y]}},8667:{dir:s,HW:[[806,E]],stretch:{rep:[57377,Y],right:[8667,E]}},8672:{dir:s,HW:[[806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[806,x]],stretch:{left:[8676,x],rep:[8722,E]}},8677:{dir:s,HW:[[806,x]],stretch:{right:[8677,x],rep:[8722,E]}},8701:{dir:s,HW:[[806,x]],stretch:{left:[8701,x],rep:[8722,E]}},8702:{dir:s,HW:[[806,x]],stretch:{right:[8702,x],rep:[8722,E]}},8703:{dir:s,HW:[[886,x]],stretch:{left:[8701,x],rep:[8722,E],right:[8702,x]}},8719:{dir:f,HW:[[1022,w],[1451,af]]},8720:{dir:f,HW:[[1022,w],[1451,af]]},8721:{dir:f,HW:[[1022,w],[1450,af]]},8731:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57381,Y],ext:[57379,Y],top:[57380,Y]}},8732:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57382,Y],ext:[57379,Y],top:[57380,Y]}},8747:{dir:s,HW:[[607,E],[979,af]],stretch:{top:[57404,Y],rep:[57405,Y],bot:[57406,Y]}},8748:{dir:f,HW:[[1144,w],[2269,af]]},8749:{dir:f,HW:[[1144,w],[2269,af]]},8750:{dir:f,HW:[[1144,w],[2269,af]]},8751:{dir:f,HW:[[1144,w],[2269,af]]},8752:{dir:f,HW:[[1144,w],[2269,af]]},8753:{dir:f,HW:[[1144,w],[2269,af]]},8754:{dir:f,HW:[[1144,w],[2269,af]]},8755:{dir:f,HW:[[1144,w],[2269,af]]},8896:{dir:f,HW:[[1022,w],[1451,af]]},8897:{dir:f,HW:[[1022,w],[1451,af]]},8898:{dir:f,HW:[[1032,w],[1461,af]]},8899:{dir:f,HW:[[1032,w],[1461,af]]},9130:{dir:f,HW:[[1010,Y,null,57357]],stretch:{top:[57357,Y],ext:[57357,Y],bot:[57357,Y]}},9140:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57383,Y],rep:[57384,Y],right:[57385,Y]}},9141:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57386,Y],rep:[57387,Y],right:[57388,Y]}},9168:{dir:f,HW:[[304,E],[690,af],[879,ad],[1350,ad,1.536],[1827,ad,2.078],[2303,ad,2.62],[2780,ad,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57389,Y],rep:[57384,Y],right:[57390,Y]}},9181:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57391,Y],rep:[57387,Y],right:[57392,Y]}},9184:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},9185:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},10098:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10099:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10214:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10219:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10224:{dir:f,HW:[[818,x]],stretch:{ext:[57399,Y],top:[10224,x]}},10225:{dir:f,HW:[[818,x]],stretch:{bot:[10225,x],ext:[57399,Y]}},10502:{dir:s,HW:[[816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[818,x]],stretch:{ext:[57400,Y],top:[10506,x]}},10507:{dir:f,HW:[[818,x]],stretch:{bot:[10507,x],ext:[57400,Y]}},10514:{dir:f,HW:[[818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[850,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8640,E]}},10575:{dir:f,HW:[[818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[850,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8641,E]}},10577:{dir:f,HW:[[818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[816,x]],stretch:{left:[10578,x],rep:[8722,E]}},10579:{dir:s,HW:[[816,x]],stretch:{right:[10579,x],rep:[8722,E]}},10580:{dir:f,HW:[[818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[816,x]],stretch:{left:[10582,x],rep:[8722,E]}},10583:{dir:s,HW:[[816,x]],stretch:{right:[10583,x],rep:[8722,E]}},10584:{dir:f,HW:[[818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[816,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10587:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8640,E]}},10588:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[816,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10591:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8641,E]}},10592:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10628:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10629:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10630:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10647:{dir:f,HW:[[932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1022,w],[1451,af]]},10753:{dir:f,HW:[[1022,w],[1451,af]]},10754:{dir:f,HW:[[1022,w],[1451,af]]},10755:{dir:f,HW:[[1032,w],[1461,af]]},10756:{dir:f,HW:[[1032,w],[1461,af]]},10757:{dir:f,HW:[[1022,w],[1451,af]]},10758:{dir:f,HW:[[1022,w],[1451,af]]},10759:{dir:f,HW:[[1022,w],[1451,af]]},10760:{dir:f,HW:[[1022,w],[1451,af]]},10761:{dir:f,HW:[[1022,w],[1451,af]]},10762:{dir:f,HW:[[1022,w],[1450,af]]},10763:{dir:f,HW:[[1144,w],[2269,af]]},10764:{dir:f,HW:[[1144,w],[2269,af]]},10765:{dir:f,HW:[[1144,w],[2269,af]]},10766:{dir:f,HW:[[1144,w],[2269,af]]},10767:{dir:f,HW:[[1144,w],[2269,af]]},10768:{dir:f,HW:[[1144,w],[2269,af]]},10769:{dir:f,HW:[[1144,w],[2269,af]]},10770:{dir:f,HW:[[1144,w],[2269,af]]},10771:{dir:f,HW:[[1144,w],[2269,af]]},10772:{dir:f,HW:[[1144,w],[2269,af]]},10773:{dir:f,HW:[[1144,w],[2269,af]]},10774:{dir:f,HW:[[1144,w],[2269,af]]},10775:{dir:f,HW:[[1144,w],[2269,af]]},10776:{dir:f,HW:[[1144,w],[2269,af]]},10777:{dir:f,HW:[[1144,w],[2269,af]]},10778:{dir:f,HW:[[1144,w],[2269,af]]},10779:{dir:f,HW:[[1267,w],[2426,af]]},10780:{dir:f,HW:[[1267,w],[2426,af]]},11004:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11007:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11077:{dir:s,HW:[[818,l]],stretch:{left:[11077,l],rep:[57401,Y]}}};for(var W in n){if(n.hasOwnProperty(W)){t[W]=n[W]}}MathJax.Ajax.loadComplete(L.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(L){var B="2.4-beta";var t=L.FONTDATA.DELIMITERS;var s="H",f="V";var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",aj="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",aa="STIXMathJax_Marks",ah="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ae="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",ak="STIXMathJax_Monospace",ac="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",al="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",X="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",af="STIXMathJax_Size1",ad="STIXMathJax_Size2",ab="STIXMathJax_Size3",Z="STIXMathJax_Size4",Y="STIXMathJax_Size5",ag="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ai="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var n={61:{dir:s,HW:[[589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[311,E],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},717:{dir:s,HW:[[312,aa]],stretch:{rep:[717,aa]}},759:{dir:s,HW:[[330,aa],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},8400:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57365,Y],rep:[57366,Y]}},8401:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57366,Y],right:[57367,Y]}},8406:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57368,Y],rep:[57366,Y]}},8417:{dir:s,HW:[[478,aa]],stretch:{left:[57368,Y],rep:[57366,Y],right:[57369,Y]}},8428:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57371,Y]}},8429:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57372,Y],rep:[57370,Y]}},8430:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57373,Y],rep:[57370,Y]}},8431:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57374,Y]}},8512:{dir:f,HW:[[1022,b],[1450,af]]},8606:{dir:s,HW:[[786,E]],stretch:{left:[8606,E],rep:[8722,E]}},8607:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[786,E]],stretch:{right:[8608,E],rep:[8722,E]}},8609:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[816,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[786,E]],stretch:{left:[8592,E],rep:[8722,E],right:[57525,x]}},8618:{dir:s,HW:[[786,E]],stretch:{left:[57524,x],rep:[8722,E],right:[8594,E]}},8624:{dir:f,HW:[[818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[847,E]],stretch:{right:[8641,E],rep:[8722,E]}},8642:{dir:f,HW:[[818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[806,E]],stretch:{left:[8666,E],rep:[57377,Y]}},8667:{dir:s,HW:[[806,E]],stretch:{rep:[57377,Y],right:[8667,E]}},8672:{dir:s,HW:[[806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[806,x]],stretch:{left:[8676,x],rep:[8722,E]}},8677:{dir:s,HW:[[806,x]],stretch:{right:[8677,x],rep:[8722,E]}},8701:{dir:s,HW:[[806,x]],stretch:{left:[8701,x],rep:[8722,E]}},8702:{dir:s,HW:[[806,x]],stretch:{right:[8702,x],rep:[8722,E]}},8703:{dir:s,HW:[[886,x]],stretch:{left:[8701,x],rep:[8722,E],right:[8702,x]}},8719:{dir:f,HW:[[1022,w],[1451,af]]},8720:{dir:f,HW:[[1022,w],[1451,af]]},8721:{dir:f,HW:[[1022,w],[1450,af]]},8731:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57381,Y],ext:[57379,Y],top:[57380,Y]}},8732:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57382,Y],ext:[57379,Y],top:[57380,Y]}},8747:{dir:s,HW:[[607,E],[979,af]],stretch:{top:[57404,Y],rep:[57405,Y],bot:[57406,Y]}},8748:{dir:f,HW:[[1144,w],[2269,af]]},8749:{dir:f,HW:[[1144,w],[2269,af]]},8750:{dir:f,HW:[[1144,w],[2269,af]]},8751:{dir:f,HW:[[1144,w],[2269,af]]},8752:{dir:f,HW:[[1144,w],[2269,af]]},8753:{dir:f,HW:[[1144,w],[2269,af]]},8754:{dir:f,HW:[[1144,w],[2269,af]]},8755:{dir:f,HW:[[1144,w],[2269,af]]},8896:{dir:f,HW:[[1022,w],[1451,af]]},8897:{dir:f,HW:[[1022,w],[1451,af]]},8898:{dir:f,HW:[[1032,w],[1461,af]]},8899:{dir:f,HW:[[1032,w],[1461,af]]},9130:{dir:f,HW:[[1010,Y,null,57357]],stretch:{top:[57357,Y],ext:[57357,Y],bot:[57357,Y]}},9140:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57383,Y],rep:[57384,Y],right:[57385,Y]}},9141:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57386,Y],rep:[57387,Y],right:[57388,Y]}},9168:{dir:f,HW:[[304,E],[690,af],[879,ad],[1350,ad,1.536],[1827,ad,2.078],[2303,ad,2.62],[2780,ad,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57389,Y],rep:[57384,Y],right:[57390,Y]}},9181:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57391,Y],rep:[57387,Y],right:[57392,Y]}},9184:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},9185:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},10098:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10099:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10214:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10219:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10224:{dir:f,HW:[[818,x]],stretch:{ext:[57399,Y],top:[10224,x]}},10225:{dir:f,HW:[[818,x]],stretch:{bot:[10225,x],ext:[57399,Y]}},10502:{dir:s,HW:[[816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[818,x]],stretch:{ext:[57400,Y],top:[10506,x]}},10507:{dir:f,HW:[[818,x]],stretch:{bot:[10507,x],ext:[57400,Y]}},10514:{dir:f,HW:[[818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[850,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8640,E]}},10575:{dir:f,HW:[[818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[850,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8641,E]}},10577:{dir:f,HW:[[818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[816,x]],stretch:{left:[10578,x],rep:[8722,E]}},10579:{dir:s,HW:[[816,x]],stretch:{right:[10579,x],rep:[8722,E]}},10580:{dir:f,HW:[[818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[816,x]],stretch:{left:[10582,x],rep:[8722,E]}},10583:{dir:s,HW:[[816,x]],stretch:{right:[10583,x],rep:[8722,E]}},10584:{dir:f,HW:[[818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[816,x]],stretch:{left:[8636,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10587:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8640,E]}},10588:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[816,x]],stretch:{left:[8637,E],rep:[8722,E],right:[8867,aj,0,0.1,0.6]}},10591:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:[8722,E],right:[8641,E]}},10592:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[818,x]],stretch:{top:[8868,aj,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10628:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10629:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10630:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10647:{dir:f,HW:[[932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1022,w],[1451,af]]},10753:{dir:f,HW:[[1022,w],[1451,af]]},10754:{dir:f,HW:[[1022,w],[1451,af]]},10755:{dir:f,HW:[[1032,w],[1461,af]]},10756:{dir:f,HW:[[1032,w],[1461,af]]},10757:{dir:f,HW:[[1022,w],[1451,af]]},10758:{dir:f,HW:[[1022,w],[1451,af]]},10759:{dir:f,HW:[[1022,w],[1451,af]]},10760:{dir:f,HW:[[1022,w],[1451,af]]},10761:{dir:f,HW:[[1022,w],[1451,af]]},10762:{dir:f,HW:[[1022,w],[1450,af]]},10763:{dir:f,HW:[[1144,w],[2269,af]]},10764:{dir:f,HW:[[1144,w],[2269,af]]},10765:{dir:f,HW:[[1144,w],[2269,af]]},10766:{dir:f,HW:[[1144,w],[2269,af]]},10767:{dir:f,HW:[[1144,w],[2269,af]]},10768:{dir:f,HW:[[1144,w],[2269,af]]},10769:{dir:f,HW:[[1144,w],[2269,af]]},10770:{dir:f,HW:[[1144,w],[2269,af]]},10771:{dir:f,HW:[[1144,w],[2269,af]]},10772:{dir:f,HW:[[1144,w],[2269,af]]},10773:{dir:f,HW:[[1144,w],[2269,af]]},10774:{dir:f,HW:[[1144,w],[2269,af]]},10775:{dir:f,HW:[[1144,w],[2269,af]]},10776:{dir:f,HW:[[1144,w],[2269,af]]},10777:{dir:f,HW:[[1144,w],[2269,af]]},10778:{dir:f,HW:[[1144,w],[2269,af]]},10779:{dir:f,HW:[[1267,w],[2426,af]]},10780:{dir:f,HW:[[1267,w],[2426,af]]},11004:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11007:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11077:{dir:s,HW:[[818,l]],stretch:{left:[11077,l],rep:[57401,Y]}}};for(var W in n){if(n.hasOwnProperty(W)){t[W]=n[W]}}MathJax.Ajax.loadComplete(L.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/STIX-Web/fontdata.js b/jax/output/SVG/fonts/STIX-Web/fontdata.js
index b845124c6..3cb559bae 100644
--- a/jax/output/SVG/fonts/STIX-Web/fontdata.js
+++ b/jax/output/SVG/fonts/STIX-Web/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(N,l,am,s){var C="2.3";var u="STIXMathJax_Alphabets-bold-italic",I="STIXMathJax_Alphabets-bold",A="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",U="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",X="STIXMathJax_Latin-bold-italic",D="STIXMathJax_Latin-bold",E="STIXMathJax_Latin-italic",L="STIXMathJax_Latin",T="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",R="STIXMathJax_Main-italic",F="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",J="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",ab="STIXMathJax_Marks",ai="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",af="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ad="STIXMathJax_Normal-bold-italic",S="STIXMathJax_Normal-bold",W="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",P="STIXMathJax_SansSerif-bold-italic",B="STIXMathJax_SansSerif-bold",an="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",Q="STIXMathJax_Script-italic",Y="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",K="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ag="STIXMathJax_Size1",ae="STIXMathJax_Size2",ac="STIXMathJax_Size3",aa="STIXMathJax_Size4",Z="STIXMathJax_Size5",ah="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",G="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",aj="STIXMathJax_Variants-italic",O="STIXMathJax_Variants";var t="H",f="V",M={load:"extra",dir:t},z={load:"extra",dir:f};N.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[F,al,L,e,ab,x,w,v,m,y,O,ag]},bold:{fonts:[ak,S,q,i,B,D,I,J,U,j,ah,K,h,o,ag],bold:true},italic:{fonts:[R,W,Q,c,an,E,A,n,af,aj,ag],italic:true},bolditalic:{fonts:[T,ad,a,g,P,X,u,k,r,ai,G,ag],bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],bold:true,offsetA:120172},script:{fonts:[Q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetG:57725},"bold-sans-serif":{fonts:[B],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[an],italic:true,offsetA:120328,offsetN:57780,offsetG:57791},"sans-serif-bold-italic":{fonts:[P],bold:true,italic:true,offsetA:120380,offsetN:57846,offsetG:120720},monospace:{fonts:[al],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663},fonts:[O,m,w,F,al,L,e,ab,x,v,y,ag]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[aj,R,W,Q,c,an,E,A,n,af,ag],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[O,F,al,L,e,ab,x,w,v,m,y,ag]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[G,T,ad,a,g,P,X,u,k,r,ai,ag],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,ak,S,q,i,B,D,I,J,U,j,ah,K,h,ag],bold:true},"-tex-mathit":{fonts:[R,W,Q,c,an,E,A,n,af,aj,ag],italic:true,noIC:true},"-largeOp":{fonts:[ag,F]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:9135,REMAP:{12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u2192":"\u20D7"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},41:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},45:{alias:9135,dir:t},47:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},61:M,91:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z],top:[57352,Z]}},92:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},93:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z],top:[57355,Z]}},94:{alias:710,dir:t},95:{alias:9135,dir:t},123:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57356,Z],ext:[57357,Z],mid:[57358,Z],top:[57359,Z]}},124:{dir:f,HW:[[690,F]],stretch:{bot:[124,F],ext:[124,F]}},125:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57360,Z],ext:[57357,Z],mid:[57361,Z],top:[57362,Z]}},126:{alias:732,dir:t},175:{alias:9135,dir:t},710:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},711:M,713:{alias:9135,dir:t},717:M,732:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},759:M,770:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},771:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},773:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57363,Z],rep:[57363,Z]}},780:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},816:{dir:t,HW:[[330,ab],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},818:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57364,Z],rep:[57364,Z]}},824:{dir:f,HW:[[818,F],[553,ag],[662,ae],[818,ac],[959,aa],[1414,Z]]},8213:{alias:9135,dir:t},8214:{dir:f,HW:[[879,F]],stretch:{bot:[8214,F],ext:[8214,F]}},8215:{alias:9135,dir:t},8254:{dir:t,HW:[[500,F],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[8254,F],rep:[8254,F]}},8400:M,8401:M,8406:M,8407:{dir:t,HW:[[436,F],[872,ag],[1308,ae],[1744,ac],[2180,aa],[3000,Z]],stretch:{rep:[57366,Z],right:[57369,Z]}},8417:M,8428:M,8429:M,8430:M,8431:M,8512:z,8592:{dir:t,HW:[[786,F]],stretch:{left:[8592,F],rep:[9135,v]}},8593:{dir:f,HW:[[818,F]],stretch:{ext:[9168,F],top:[8593,F]}},8594:{dir:t,HW:[[786,F]],stretch:{rep:[9135,v],right:[8594,F]}},8595:{dir:f,HW:[[818,F]],stretch:{bot:[8595,F],ext:[9168,F]}},8596:{dir:t,HW:[[850,F]],stretch:{left:[8592,F],rep:[9135,v],right:[8594,F]}},8597:{dir:f,HW:[[954,F]],stretch:{bot:[8595,F],ext:[9168,F],top:[8593,F]}},8606:M,8607:z,8608:M,8609:z,8612:M,8613:z,8614:M,8615:z,8616:z,8617:M,8618:M,8624:z,8625:z,8626:z,8627:z,8628:M,8629:z,8636:M,8637:M,8638:z,8639:z,8640:M,8641:M,8642:z,8643:z,8651:M,8652:M,8656:{dir:t,HW:[[806,F]],stretch:{left:[8656,F],rep:[57375,Z]}},8657:{dir:f,HW:[[818,F]],stretch:{ext:[57376,Z],top:[8657,F]}},8658:{dir:t,HW:[[806,F]],stretch:{rep:[57375,Z],right:[8658,F]}},8659:{dir:f,HW:[[818,F]],stretch:{bot:[8659,F],ext:[57376,Z]}},8660:{dir:t,HW:[[886,F]],stretch:{left:[8656,F],rep:[57375,Z],right:[8658,F]}},8661:{dir:f,HW:[[954,F]],stretch:{bot:[8659,F],ext:[57376,Z],top:[8657,F]}},8666:M,8667:M,8672:M,8673:z,8674:M,8675:z,8676:M,8677:M,8701:M,8702:M,8703:M,8719:z,8720:z,8721:z,8722:{alias:9135,dir:t},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1232,F],[1847,ag],[2460,ae],[3075,ac]],stretch:{bot:[57378,Z],ext:[57379,Z],top:[57380,Z]}},8731:z,8732:z,8739:{dir:f,HW:[[879,F]],stretch:{ext:[8739,F]}},8741:{dir:f,HW:[[879,F]],stretch:{ext:[8741,F]}},8747:M,8748:z,8749:z,8750:z,8751:z,8752:z,8753:z,8754:z,8755:z,8896:z,8897:z,8898:z,8899:z,8968:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57351,Z],top:[57352,Z]}},8969:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57354,Z],top:[57355,Z]}},8970:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z]}},8971:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z]}},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:z,9135:{dir:t,HW:[[315,v]],stretch:{rep:[9135,v]}},9136:{dir:f,HW:[[1000,Z,null,57402]],stretch:{top:[57359,Z],ext:[57357,Z],bot:[57360,Z]}},9137:{dir:f,HW:[[1000,Z,null,57403]],stretch:{top:[57362,Z],ext:[57357,Z],bot:[57356,Z]}},9140:M,9141:M,9168:z,9180:M,9181:M,9182:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57393,Z],rep:[57384,Z],mid:[57394,Z],right:[57395,Z]}},9183:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57396,Z],rep:[57387,Z],mid:[57397,Z],right:[57398,Z]}},9184:M,9185:M,9472:{alias:8722,dir:t},10072:{alias:8739,dir:f},10098:z,10099:z,10214:z,10215:z,10216:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10217:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10218:z,10219:z,10222:{dir:f,HW:[[853,F]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},10223:{dir:f,HW:[[853,F]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},10224:z,10225:z,10229:{alias:8592,dir:t},10230:{alias:8594,dir:t},10231:{alias:8596,dir:t},10232:{alias:8656,dir:t},10233:{alias:8658,dir:t},10234:{alias:8660,dir:t},10235:{alias:8612,dir:t},10236:{alias:8614,dir:t},10237:{alias:10502,dir:t},10238:{alias:10503,dir:t},10502:M,10503:M,10506:z,10507:z,10514:z,10515:z,10574:M,10575:z,10576:M,10577:z,10578:M,10579:M,10580:z,10581:z,10582:M,10583:M,10584:z,10585:z,10586:M,10587:M,10588:z,10589:z,10590:M,10591:M,10592:z,10593:z,10624:z,10627:z,10628:z,10629:z,10630:z,10647:z,10648:z,10744:{dir:f,HW:[[1020,F],[1845,ag]]},10745:{dir:f,HW:[[1020,F],[1845,ag]]},10752:z,10753:z,10754:z,10755:z,10756:z,10757:z,10758:z,10759:z,10760:z,10761:z,10762:z,10763:z,10764:z,10765:z,10766:z,10767:z,10768:z,10769:z,10770:z,10771:z,10772:z,10773:z,10774:z,10775:z,10776:z,10777:z,10778:z,10779:z,10780:z,11004:z,11007:z,11077:M,11078:{dir:t,HW:[[818,m]],stretch:{rep:[57401,Z],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:t},65080:{alias:9183,dir:t}}}});MathJax.Hub.Register.LoadHook(N.fontDir+"/Main/Regular/Main.js",function(){N.FONTDATA.FONTS[F][8942][0]+=400;N.FONTDATA.FONTS[F][8945][0]+=500;N.FONTDATA.FONTS[F][8722][1]+=100;N.FONTDATA.FONTS[F][61][1]+=100});MathJax.Hub.Register.LoadHook(N.fontDir+"/Size5/Regular/Main.js",function(){var H;H=N.FONTDATA.DELIMITERS[9182].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200;H=N.FONTDATA.DELIMITERS[9183].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200});am.loadComplete(N.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(N,l,am,s){var C="2.4-beta";var u="STIXMathJax_Alphabets-bold-italic",I="STIXMathJax_Alphabets-bold",A="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",U="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",X="STIXMathJax_Latin-bold-italic",D="STIXMathJax_Latin-bold",E="STIXMathJax_Latin-italic",L="STIXMathJax_Latin",T="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",R="STIXMathJax_Main-italic",F="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",J="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",ab="STIXMathJax_Marks",ai="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",af="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ad="STIXMathJax_Normal-bold-italic",S="STIXMathJax_Normal-bold",W="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",P="STIXMathJax_SansSerif-bold-italic",B="STIXMathJax_SansSerif-bold",an="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",Q="STIXMathJax_Script-italic",Y="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",K="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ag="STIXMathJax_Size1",ae="STIXMathJax_Size2",ac="STIXMathJax_Size3",aa="STIXMathJax_Size4",Z="STIXMathJax_Size5",ah="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",G="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",aj="STIXMathJax_Variants-italic",O="STIXMathJax_Variants";var t="H",f="V",M={load:"extra",dir:t},z={load:"extra",dir:f};N.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[F,al,L,e,ab,x,w,v,m,y,O,ag]},bold:{fonts:[ak,S,q,i,B,D,I,J,U,j,ah,K,h,o,ag],bold:true},italic:{fonts:[R,W,Q,c,an,E,A,n,af,aj,ag],italic:true},"bold-italic":{fonts:[T,ad,a,g,P,X,u,k,r,ai,G,ag],bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],bold:true,offsetA:120172},script:{fonts:[Q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetG:57725,offsetE:57725},"bold-sans-serif":{fonts:[B],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[an],italic:true,offsetA:120328,offsetN:57780,offsetG:57791,offsetE:57791},"sans-serif-bold-italic":{fonts:[P],bold:true,italic:true,offsetA:120380,offsetN:57846,offsetG:120720},monospace:{fonts:[al],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663},fonts:[O,m,w,F,al,L,e,ab,x,v,y,ag]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[aj,R,W,Q,c,an,E,A,n,af,ag],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[O,F,al,L,e,ab,x,w,v,m,y,ag]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[G,T,ad,a,g,P,X,u,k,r,ai,ag],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,ak,S,q,i,B,D,I,J,U,j,ah,K,h,ag],bold:true},"-tex-mathit":{fonts:[R,W,Q,c,an,E,A,n,af,aj,ag],italic:true,noIC:true},"-largeOp":{fonts:[ag,F]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek-non-unicode",low:945,high:969,offset:"E",add:25},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:9135,REMAP:{12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},41:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},45:{alias:9135,dir:t},47:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},61:M,91:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z],top:[57352,Z]}},92:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},93:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z],top:[57355,Z]}},94:{alias:710,dir:t},95:{alias:9135,dir:t},123:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57356,Z],ext:[57357,Z],mid:[57358,Z],top:[57359,Z]}},124:{dir:f,HW:[[690,F]],stretch:{bot:[124,F],ext:[124,F]}},125:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57360,Z],ext:[57357,Z],mid:[57361,Z],top:[57362,Z]}},126:{alias:732,dir:t},175:{alias:9135,dir:t},710:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},711:M,713:{alias:9135,dir:t},717:M,732:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},759:M,770:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},771:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},773:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57363,Z],rep:[57363,Z]}},780:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},816:{dir:t,HW:[[330,ab],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},818:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57364,Z],rep:[57364,Z]}},824:{dir:f,HW:[[818,F],[553,ag],[662,ae],[818,ac],[959,aa],[1414,Z]]},8213:{alias:9135,dir:t},8214:{dir:f,HW:[[879,F]],stretch:{bot:[8214,F],ext:[8214,F]}},8215:{alias:9135,dir:t},8254:{dir:t,HW:[[500,F],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[8254,F],rep:[8254,F]}},8400:M,8401:M,8406:M,8407:{dir:t,HW:[[436,F],[872,ag],[1308,ae],[1744,ac],[2180,aa],[3000,Z]],stretch:{rep:[57366,Z],right:[57369,Z]}},8417:M,8428:M,8429:M,8430:M,8431:M,8512:z,8592:{dir:t,HW:[[786,F]],stretch:{left:[8592,F],rep:[9135,v]}},8593:{dir:f,HW:[[818,F]],stretch:{ext:[9168,F],top:[8593,F]}},8594:{dir:t,HW:[[786,F]],stretch:{rep:[9135,v],right:[8594,F]}},8595:{dir:f,HW:[[818,F]],stretch:{bot:[8595,F],ext:[9168,F]}},8596:{dir:t,HW:[[850,F]],stretch:{left:[8592,F],rep:[9135,v],right:[8594,F]}},8597:{dir:f,HW:[[954,F]],stretch:{bot:[8595,F],ext:[9168,F],top:[8593,F]}},8606:M,8607:z,8608:M,8609:z,8612:M,8613:z,8614:M,8615:z,8616:z,8617:M,8618:M,8624:z,8625:z,8626:z,8627:z,8628:M,8629:z,8636:M,8637:M,8638:z,8639:z,8640:M,8641:M,8642:z,8643:z,8651:M,8652:M,8656:{dir:t,HW:[[806,F]],stretch:{left:[8656,F],rep:[57375,Z]}},8657:{dir:f,HW:[[818,F]],stretch:{ext:[57376,Z],top:[8657,F]}},8658:{dir:t,HW:[[806,F]],stretch:{rep:[57375,Z],right:[8658,F]}},8659:{dir:f,HW:[[818,F]],stretch:{bot:[8659,F],ext:[57376,Z]}},8660:{dir:t,HW:[[886,F]],stretch:{left:[8656,F],rep:[57375,Z],right:[8658,F]}},8661:{dir:f,HW:[[954,F]],stretch:{bot:[8659,F],ext:[57376,Z],top:[8657,F]}},8666:M,8667:M,8672:M,8673:z,8674:M,8675:z,8676:M,8677:M,8701:M,8702:M,8703:M,8719:z,8720:z,8721:z,8722:{alias:9135,dir:t},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1232,F],[1847,ag],[2460,ae],[3075,ac]],stretch:{bot:[57378,Z],ext:[57379,Z],top:[57380,Z]}},8731:z,8732:z,8739:{dir:f,HW:[[879,F]],stretch:{ext:[8739,F]}},8741:{dir:f,HW:[[879,F]],stretch:{ext:[8741,F]}},8747:M,8748:z,8749:z,8750:z,8751:z,8752:z,8753:z,8754:z,8755:z,8896:z,8897:z,8898:z,8899:z,8968:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57351,Z],top:[57352,Z]}},8969:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57354,Z],top:[57355,Z]}},8970:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z]}},8971:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z]}},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:z,9135:{dir:t,HW:[[315,v]],stretch:{rep:[9135,v]}},9136:{dir:f,HW:[[1000,Z,null,57402]],stretch:{top:[57359,Z],ext:[57357,Z],bot:[57360,Z]}},9137:{dir:f,HW:[[1000,Z,null,57403]],stretch:{top:[57362,Z],ext:[57357,Z],bot:[57356,Z]}},9140:M,9141:M,9168:z,9180:M,9181:M,9182:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57393,Z],rep:[57384,Z],mid:[57394,Z],right:[57395,Z]}},9183:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57396,Z],rep:[57387,Z],mid:[57397,Z],right:[57398,Z]}},9184:M,9185:M,9472:{alias:8722,dir:t},10072:{alias:8739,dir:f},10098:z,10099:z,10214:z,10215:z,10216:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10217:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10218:z,10219:z,10222:{dir:f,HW:[[853,F]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},10223:{dir:f,HW:[[853,F]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},10224:z,10225:z,10229:{alias:8592,dir:t},10230:{alias:8594,dir:t},10231:{alias:8596,dir:t},10232:{alias:8656,dir:t},10233:{alias:8658,dir:t},10234:{alias:8660,dir:t},10235:{alias:8612,dir:t},10236:{alias:8614,dir:t},10237:{alias:10502,dir:t},10238:{alias:10503,dir:t},10502:M,10503:M,10506:z,10507:z,10514:z,10515:z,10574:M,10575:z,10576:M,10577:z,10578:M,10579:M,10580:z,10581:z,10582:M,10583:M,10584:z,10585:z,10586:M,10587:M,10588:z,10589:z,10590:M,10591:M,10592:z,10593:z,10624:z,10627:z,10628:z,10629:z,10630:z,10647:z,10648:z,10744:{dir:f,HW:[[1020,F],[1845,ag]]},10745:{dir:f,HW:[[1020,F],[1845,ag]]},10752:z,10753:z,10754:z,10755:z,10756:z,10757:z,10758:z,10759:z,10760:z,10761:z,10762:z,10763:z,10764:z,10765:z,10766:z,10767:z,10768:z,10769:z,10770:z,10771:z,10772:z,10773:z,10774:z,10775:z,10776:z,10777:z,10778:z,10779:z,10780:z,11004:z,11007:z,11077:M,11078:{dir:t,HW:[[818,m]],stretch:{rep:[57401,Z],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:t},65080:{alias:9183,dir:t}}}});MathJax.Hub.Register.LoadHook(N.fontDir+"/Main/Regular/Main.js",function(){N.FONTDATA.FONTS[F][8942][0]+=400;N.FONTDATA.FONTS[F][8945][0]+=500;N.FONTDATA.FONTS[F][8722][1]+=100;N.FONTDATA.FONTS[F][61][1]+=100});MathJax.Hub.Register.LoadHook(N.fontDir+"/Size5/Regular/Main.js",function(){var H;H=N.FONTDATA.DELIMITERS[9182].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200;H=N.FONTDATA.DELIMITERS[9183].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200});am.loadComplete(N.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/TeX/fontdata-extra.js b/jax/output/SVG/fonts/TeX/fontdata-extra.js
index 7472623cf..6e4be5307 100644
--- a/jax/output/SVG/fonts/TeX/fontdata-extra.js
+++ b/jax/output/SVG/fonts/TeX/fontdata-extra.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(a){var l="2.3";var k=a.FONTDATA.DELIMITERS;var g="MathJax_Main",h="MathJax_Main-bold",i="MathJax_AMS",e="MathJax_Size1",b="MathJax_Size4";var j="H",f="V";var d={61:{dir:j,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:j,HW:[[1,i]],stretch:{left:[8606,i],rep:[8722,g]}},8608:{dir:j,HW:[[1,i]],stretch:{right:[8608,i],rep:[8722,g]}},8612:{dir:j,HW:[],stretch:{min:1,left:[8592,g],rep:[8722,g],right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:j,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:[8722,g],right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,i]],stretch:{top:[8624,i],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,i]],stretch:{top:[8625,i,0.27],ext:[9168,e]}},8636:{dir:j,HW:[[1,g]],stretch:{left:[8636,g],rep:[8722,g]}},8637:{dir:j,HW:[[1,g]],stretch:{left:[8637,g],rep:[8722,g]}},8638:{dir:f,HW:[[0.888,i]],stretch:{top:[8638,i,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,i]],stretch:{top:[8639,i,0.12,0,1.1],ext:[9168,e]}},8640:{dir:j,HW:[[1,g]],stretch:{right:[8640,g],rep:[8722,g]}},8641:{dir:j,HW:[[1,g]],stretch:{right:[8641,g],rep:[8722,g]}},8642:{dir:f,HW:[[0.888,i]],stretch:{bot:[8642,i,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,i]],stretch:{bot:[8643,i,0.12,0,1.1],ext:[9168,e]}},8666:{dir:j,HW:[[1,i]],stretch:{left:[8666,i],rep:[8801,g]}},8667:{dir:j,HW:[[1,i]],stretch:{right:[8667,i],rep:[8801,g]}},9140:{dir:j,HW:[],stretch:{min:0.5,left:[9484,i,0,-0.1],rep:[8722,g,0,0.325],right:[9488,i,0,-0.1]}},9141:{dir:j,HW:[],stretch:{min:0.5,left:[9492,i,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,i,0,0.26]}},9180:{dir:j,HW:[[0.778,i,0,8994],[1,g,0,8994]],stretch:{left:[57680,b],rep:[57684,b],right:[57681,b]}},9181:{dir:j,HW:[[0.778,i,0,8995],[1,g,0,8995]],stretch:{left:[57682,b],rep:[57684,b],right:[57683,b]}},9184:{dir:j,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,-0.05,0.13],right:[715,g],fullExtenders:true}},9185:{dir:j,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g,-0.1],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:j,HW:[],stretch:{min:1,left:[8656,g],rep:[61,g],right:[8739,e,0,-0.1]}},10503:{dir:j,HW:[],stretch:{min:0.7,left:[8872,i,0,-0.12],rep:[61,g],right:[8658,g]}},10574:{dir:j,HW:[],stretch:{min:0.5,left:[8636,g],rep:[8722,g],right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,i,0.12,0,1.1],ext:[9168,e],bot:[8642,i,0.12,0,1.1]}},10576:{dir:j,HW:[],stretch:{min:0.5,left:[8637,g],rep:[8722,g],right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,i,0.12,0,1.1],ext:[9168,e],bot:[8643,i,0.12,0,1.1]}},10586:{dir:j,HW:[],stretch:{min:1,left:[8636,g],rep:[8722,g],right:[8739,e,0,-0.05,0.9]}},10587:{dir:j,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:[8722,g],right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8638,i,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8642,i,0.12,0,1.1]}},10590:{dir:j,HW:[],stretch:{min:1,left:[8637,g],rep:[8722,g],right:[8739,e,0,-0.05,0.9]}},10591:{dir:j,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:[8722,g],right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8639,i,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8643,i,0.12,0,1.1]}}};for(var c in d){if(d.hasOwnProperty(c)){k[c]=d[c]}}MathJax.Ajax.loadComplete(a.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(a){var l="2.4-beta";var k=a.FONTDATA.DELIMITERS;var g="MathJax_Main",h="MathJax_Main-bold",i="MathJax_AMS",e="MathJax_Size1",b="MathJax_Size4";var j="H",f="V";var d={61:{dir:j,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:j,HW:[[1,i]],stretch:{left:[8606,i],rep:[8722,g]}},8608:{dir:j,HW:[[1,i]],stretch:{right:[8608,i],rep:[8722,g]}},8612:{dir:j,HW:[],stretch:{min:1,left:[8592,g],rep:[8722,g],right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:j,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:[8722,g],right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,i]],stretch:{top:[8624,i],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,i]],stretch:{top:[8625,i,0.27],ext:[9168,e]}},8636:{dir:j,HW:[[1,g]],stretch:{left:[8636,g],rep:[8722,g]}},8637:{dir:j,HW:[[1,g]],stretch:{left:[8637,g],rep:[8722,g]}},8638:{dir:f,HW:[[0.888,i]],stretch:{top:[8638,i,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,i]],stretch:{top:[8639,i,0.12,0,1.1],ext:[9168,e]}},8640:{dir:j,HW:[[1,g]],stretch:{right:[8640,g],rep:[8722,g]}},8641:{dir:j,HW:[[1,g]],stretch:{right:[8641,g],rep:[8722,g]}},8642:{dir:f,HW:[[0.888,i]],stretch:{bot:[8642,i,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,i]],stretch:{bot:[8643,i,0.12,0,1.1],ext:[9168,e]}},8666:{dir:j,HW:[[1,i]],stretch:{left:[8666,i],rep:[8801,g]}},8667:{dir:j,HW:[[1,i]],stretch:{right:[8667,i],rep:[8801,g]}},9140:{dir:j,HW:[],stretch:{min:0.5,left:[9484,i,0,-0.1],rep:[8722,g,0,0.325],right:[9488,i,0,-0.1]}},9141:{dir:j,HW:[],stretch:{min:0.5,left:[9492,i,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,i,0,0.26]}},9180:{dir:j,HW:[[0.778,i,0,8994],[1,g,0,8994]],stretch:{left:[57680,b],rep:[57684,b],right:[57681,b]}},9181:{dir:j,HW:[[0.778,i,0,8995],[1,g,0,8995]],stretch:{left:[57682,b],rep:[57684,b],right:[57683,b]}},9184:{dir:j,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,-0.05,0.13],right:[715,g],fullExtenders:true}},9185:{dir:j,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g,-0.1],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:j,HW:[],stretch:{min:1,left:[8656,g],rep:[61,g],right:[8739,e,0,-0.1]}},10503:{dir:j,HW:[],stretch:{min:0.7,left:[8872,i,0,-0.12],rep:[61,g],right:[8658,g]}},10574:{dir:j,HW:[],stretch:{min:0.5,left:[8636,g],rep:[8722,g],right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,i,0.12,0,1.1],ext:[9168,e],bot:[8642,i,0.12,0,1.1]}},10576:{dir:j,HW:[],stretch:{min:0.5,left:[8637,g],rep:[8722,g],right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,i,0.12,0,1.1],ext:[9168,e],bot:[8643,i,0.12,0,1.1]}},10586:{dir:j,HW:[],stretch:{min:1,left:[8636,g],rep:[8722,g],right:[8739,e,0,-0.05,0.9]}},10587:{dir:j,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:[8722,g],right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8638,i,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8642,i,0.12,0,1.1]}},10590:{dir:j,HW:[],stretch:{min:1,left:[8637,g],rep:[8722,g],right:[8739,e,0,-0.05,0.9]}},10591:{dir:j,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:[8722,g],right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8639,i,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8643,i,0.12,0,1.1]}}};for(var c in d){if(d.hasOwnProperty(c)){k[c]=d[c]}}MathJax.Ajax.loadComplete(a.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/TeX/fontdata.js b/jax/output/SVG/fonts/TeX/fontdata.js
index 9d5addff9..86596fd0f 100644
--- a/jax/output/SVG/fonts/TeX/fontdata.js
+++ b/jax/output/SVG/fonts/TeX/fontdata.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(m,b,p,h){var o="2.3";var l="MathJax_Main",q="MathJax_Main-bold",n="MathJax_Math-italic",i="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var j="H",a="V",k={load:"extra",dir:j},d={load:"extra",dir:a};var r=[[1000,l],[1200,g],[1800,f],[2400,e],[3000,c]];m.Augment({FONTDATA:{version:o,baselineskip:1200,lineH:800,lineD:200,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[l,g,i],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[q,g,i],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[n,"MathJax_Main-italic",l,g,i],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",q,g,i],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,l]},fraktur:{fonts:["MathJax_Fraktur",l,g,i]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",q,g,i],bold:true},script:{fonts:["MathJax_Script",l,g,i]},"bold-script":{fonts:["MathJax_Script",q,g,i],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",l,g,i]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",q,g,i],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",l,g,i]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",l],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",l]},"-tex-mathit":{fonts:["MathJax_Main-italic",n,l,g,i],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,l,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,l]},"-smallOp":{fonts:[g,l]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{160:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(v,u){for(var t=0,s=this.PLANE1MAP.length;t<s;t++){if(v<this.PLANE1MAP[t][0]){break}if(v<=this.PLANE1MAP[t][1]){v=v-this.PLANE1MAP[t][0]+this.PLANE1MAP[t][2];if(this.REMAPGREEK[v]){v=this.REMAPGREEK[v]}u=this.VARIANT[this.PLANE1MAP[t][3]];break}}return{n:v,variant:u}},DELIMITERS:{40:{dir:a,HW:r,stretch:{top:[9115,c],ext:[9116,c],bot:[9117,c]}},41:{dir:a,HW:r,stretch:{top:[9118,c],ext:[9119,c],bot:[9120,c]}},47:{dir:a,HW:r},91:{dir:a,HW:r,stretch:{top:[9121,c],ext:[9122,c],bot:[9123,c]}},92:{dir:a,HW:r},93:{dir:a,HW:r,stretch:{top:[9124,c],ext:[9125,c],bot:[9126,c]}},123:{dir:a,HW:r,stretch:{top:[9127,c],mid:[9128,c],bot:[9129,c],ext:[9130,c]}},124:{dir:a,HW:[[1000,l]],stretch:{ext:[8739,l]}},125:{dir:a,HW:r,stretch:{top:[9131,c],mid:[9132,c],bot:[9133,c],ext:[9130,c]}},175:{dir:j,HW:[[0.59,l]],stretch:{rep:[175,l]}},710:{dir:j,HW:[[267+250,l],[567+250,g],[1005+330,f],[1447+330,e],[1909,c]]},732:{dir:j,HW:[[333+250,l],[555+250,g],[1000+330,f],[1443+330,e],[1887,c]]},8214:{dir:a,HW:[[602,g],[1000,l,null,8741]],stretch:{ext:[8741,l]}},8592:{dir:j,HW:[[1000,l]],stretch:{left:[8592,l],rep:[8722,l],fuzz:300}},8593:{dir:a,HW:[[888,l]],stretch:{top:[8593,g],ext:[9168,g]}},8594:{dir:j,HW:[[1000,l]],stretch:{rep:[8722,l],right:[8594,l],fuzz:300}},8595:{dir:a,HW:[[888,l]],stretch:{ext:[9168,g],bot:[8595,g]}},8596:{dir:j,HW:[[1000,l]],stretch:{left:[8592,l],rep:[8722,l],right:[8594,l],fuzz:300}},8597:{dir:a,HW:[[1044,l]],stretch:{top:[8593,g],ext:[9168,g],bot:[8595,g]}},8656:{dir:j,HW:[[1000,l]],stretch:{left:[8656,l],rep:[61,l],fuzz:300}},8657:{dir:a,HW:[[888,l]],stretch:{top:[8657,g],ext:[8214,g]}},8658:{dir:j,HW:[[1000,l]],stretch:{rep:[61,l],right:[8658,l],fuzz:300}},8659:{dir:a,HW:[[888,l]],stretch:{ext:[8214,g],bot:[8659,g]}},8660:{dir:j,HW:[[1000,l]],stretch:{left:[8656,l],rep:[61,l],right:[8658,l],fuzz:300}},8661:{dir:a,HW:[[1044,l]],stretch:{top:[8657,g],ext:[8214,g],bot:[8659,g]}},8722:{dir:j,HW:[[611,l]],stretch:{rep:[8722,l],fuzz:300}},8730:{dir:a,HW:r,stretch:{top:[57345,c],ext:[57344,c],bot:[9143,c],fullExtenders:true}},8739:{dir:a,HW:[[1000,l]],stretch:{ext:[8739,l]}},8741:{dir:a,HW:[[1000,l]],stretch:{ext:[8741,l]}},8968:{dir:a,HW:r,stretch:{top:[9121,c],ext:[9122,c]}},8969:{dir:a,HW:r,stretch:{top:[9124,c],ext:[9125,c]}},8970:{dir:a,HW:r,stretch:{ext:[9122,c],bot:[9123,c]}},8971:{dir:a,HW:r,stretch:{ext:[9125,c],bot:[9126,c]}},9130:{dir:a,HW:[[320,c]],stretch:{top:[9130,c],ext:[9130,c],bot:[9130,c]}},9136:{dir:a,HW:[[989,l]],stretch:{top:[9127,c],ext:[9130,c],bot:[9133,c]}},9137:{dir:a,HW:[[989,l]],stretch:{top:[9131,c],ext:[9130,c],bot:[9129,c]}},9168:{dir:a,HW:[[602,g],[1000,l,null,8739]],stretch:{ext:[8739,l]}},9182:{dir:j,HW:[],stretch:{min:0.9,left:[57680,c],mid:[[57683,57682],c],right:[57681,c],rep:[57684,c]}},9183:{dir:j,HW:[],stretch:{min:0.9,left:[57682,c],mid:[[57681,57680],c],right:[57683,c],rep:[57684,c]}},10216:{dir:a,HW:r},10217:{dir:a,HW:r},10222:{dir:a,HW:[[989,l]],stretch:{top:[9127,c],ext:[9130,c],bot:[9129,c]}},10223:{dir:a,HW:[[989,l]],stretch:{top:[9131,c],ext:[9130,c],bot:[9133,c]}},45:{alias:8722,dir:j},94:{alias:710,dir:j},95:{alias:8722,dir:j},126:{alias:732,dir:j},713:{alias:175,dir:j},770:{alias:710,dir:j},771:{alias:732,dir:j},780:{alias:711,dir:j},818:{alias:8722,dir:j},8213:{alias:8722,dir:j},8215:{alias:8722,dir:j},8254:{alias:175,dir:j},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9135:{alias:8722,dir:j},9472:{alias:8722,dir:j},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:j},65080:{alias:9183,dir:j},61:k,8606:k,8608:k,8612:k,8613:d,8614:k,8615:d,8624:d,8625:d,8636:k,8637:k,8638:d,8639:d,8640:k,8641:k,8642:d,8643:d,8666:k,8667:k,9140:k,9141:k,9180:k,9181:k,9184:k,9185:k,10502:k,10503:k,10574:k,10575:d,10576:k,10577:d,10586:k,10587:k,10588:d,10589:d,10590:k,10591:k,10592:d,10593:d,10229:{alias:8592,dir:j},10230:{alias:8594,dir:j},10231:{alias:8596,dir:j},10232:{alias:8656,dir:j},10233:{alias:8658,dir:j},10234:{alias:8660,dir:j},10235:{alias:8612,dir:j},10236:{alias:8614,dir:j},10237:{alias:10502,dir:j},10238:{alias:10503,dir:j}}}});m.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",id:"MJMAIN",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[32,127,"BasicLatin"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[8448,8527,"LetterlikeSymbols"],[8704,8959,"MathOperators"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0,""],40:[750,250,389,94,333,"94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250"],41:[750,250,389,55,294,"60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749"],43:[583,82,778,56,722,"56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250"],44:[121,195,278,78,210,"78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17"],46:[120,0,278,78,199,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],47:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],48:[666,22,500,39,460,"96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597"],49:[666,0,500,83,427,"213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578"],50:[666,0,500,50,449,"109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429"],51:[665,22,500,42,457,"127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463"],52:[677,0,500,28,471,"462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293"],53:[666,22,500,50,449,"164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157"],54:[666,22,500,41,456,"42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397"],55:[676,22,500,55,485,"55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458"],56:[666,22,500,43,457,"70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21"],57:[666,22,500,42,456,"352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248"],58:[430,0,278,78,199,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],59:[430,194,278,78,202,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 85 94 103T137 121Q202 121 202 8Q202 -44 183 -94T144 -169T118 -194Q115 -194 106 -186T95 -174Q94 -171 107 -155T137 -107T160 -38Q161 -32 162 -22T165 -4T165 4Q165 5 161 4T142 0Q110 0 94 18T78 60"],60:[540,40,778,83,695,"694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19"],61:[367,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153"],62:[540,40,778,82,694,"84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520"],91:[750,250,278,118,255,"118 -250V750H255V710H158V-210H255V-250H118"],92:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],93:[750,250,278,22,159,"22 710V750H159V-250H22V-210H119V710H22"],94:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],97:[448,11,500,34,493,"137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106"],98:[695,11,556,20,522,"307 -11Q234 -11 168 55L158 37Q156 34 153 28T147 17T143 10L138 1L118 0H98V298Q98 599 97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V543Q179 391 180 391L183 394Q186 397 192 401T207 411T228 421T254 431T286 439T323 442Q401 442 461 379T522 216Q522 115 458 52T307 -11ZM182 98Q182 97 187 90T196 79T206 67T218 55T233 44T250 35T271 29T295 26Q330 26 363 46T412 113Q424 148 424 212Q424 287 412 323Q385 405 300 405Q270 405 239 390T188 347L182 339V98"],99:[448,12,444,34,415,"370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320"],100:[695,11,556,34,535,"376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342"],101:[448,11,444,28,415,"28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275"],102:[705,0,306,26,372,"273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273"],103:[453,206,500,29,485,"329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75"],104:[695,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],105:[669,0,278,26,255,"69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247"],106:[669,205,306,-55,218,"98 609Q98 637 116 653T160 669Q183 667 200 652T217 609Q217 579 200 564T158 549Q133 549 116 564T98 609ZM28 -163Q58 -168 64 -168Q124 -168 135 -77Q137 -65 137 141T136 353Q132 371 120 377T72 385H52V408Q52 431 54 431L58 432Q62 432 70 432T87 433T108 434T133 436Q151 437 171 438T202 441T214 442H218V184Q217 -36 217 -59T211 -98Q195 -145 153 -175T58 -205Q9 -205 -23 -179T-55 -117Q-55 -94 -40 -79T-2 -64T36 -79T52 -118Q52 -143 28 -163"],107:[695,0,528,20,511,"36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36"],108:[695,0,278,26,263,"42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42"],109:[443,0,833,25,819,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],110:[443,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],111:[448,10,500,28,471,"28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30"],112:[443,194,556,20,522,"36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218"],113:[442,194,528,33,535,"33 218Q33 308 95 374T236 441H246Q330 441 381 372L387 364Q388 364 404 403L420 442H457V156Q457 -132 458 -134Q462 -142 470 -145Q491 -148 519 -148H535V-194H527L504 -193Q480 -192 453 -192T415 -191Q312 -191 303 -194H295V-148H311Q339 -148 360 -145Q369 -141 371 -135T373 -106V-41V49Q313 -11 236 -11Q154 -11 94 53T33 218ZM376 300Q346 389 278 401Q275 401 269 401T261 402Q211 400 171 350T131 214Q131 137 165 82T253 27Q296 27 328 54T376 118V300"],114:[443,0,392,20,364,"36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36"],115:[448,11,394,33,359,"295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316"],116:[615,10,389,18,333,"27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27"],117:[443,11,556,25,542,"383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58"],118:[431,11,528,19,508,"338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338"],119:[431,11,722,18,703,"90 368Q84 378 76 380T40 385H18V431H24L43 430Q62 430 84 429T116 428Q206 428 221 431H229V385H215Q177 383 177 368Q177 367 221 239L265 113L339 328L333 345Q323 374 316 379Q308 384 278 385H258V431H264Q270 428 348 428Q439 428 454 431H461V385H452Q404 385 404 369Q404 366 418 324T449 234T481 143L496 100L537 219Q579 341 579 347Q579 363 564 373T530 385H522V431H529Q541 428 624 428Q692 428 698 431H703V385H697Q696 385 691 385T682 384Q635 377 619 334L559 161Q546 124 528 71Q508 12 503 1T487 -11H479Q460 -11 456 -4Q455 -3 407 133L361 267Q359 263 266 -4Q261 -11 243 -11H238Q225 -11 220 -3L90 368"],120:[431,0,528,11,516,"201 0Q189 3 102 3Q26 3 17 0H11V46H25Q48 47 67 52T96 61T121 78T139 96T160 122T180 150L226 210L168 288Q159 301 149 315T133 336T122 351T113 363T107 370T100 376T94 379T88 381T80 383Q74 383 44 385H16V431H23Q59 429 126 429Q219 429 229 431H237V385Q201 381 201 369Q201 367 211 353T239 315T268 274L272 270L297 304Q329 345 329 358Q329 364 327 369T322 376T317 380T310 384L307 385H302V431H309Q324 428 408 428Q487 428 493 431H499V385H492Q443 385 411 368Q394 360 377 341T312 257L296 236L358 151Q424 61 429 57T446 50Q464 46 499 46H516V0H510H502Q494 1 482 1T457 2T432 2T414 3Q403 3 377 3T327 1L304 0H295V46H298Q309 46 320 51T331 63Q331 65 291 120L250 175Q249 174 219 133T185 88Q181 83 181 74Q181 63 188 55T206 46Q208 46 208 23V0H201"],121:[431,204,528,19,508,"69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66"],122:[431,0,444,28,401,"42 263Q44 270 48 345T53 423V431H393Q399 425 399 415Q399 403 398 402L381 378Q364 355 331 309T265 220L134 41L182 40H206Q254 40 283 46T331 77Q352 105 359 185L361 201Q361 202 381 202H401V196Q401 195 393 103T384 6V0H209L34 1L31 3Q28 8 28 17Q28 30 29 31T160 210T294 394H236Q169 393 152 388Q127 382 113 367Q89 344 82 264V255H42V263"],123:[750,250,500,65,434,"434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231"],124:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],125:[750,250,500,65,434,"65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731"],168:[669,-554,500,95,405,"95 612Q95 633 112 651T153 669T193 652T210 612Q210 588 194 571T152 554L127 560Q95 577 95 612ZM289 611Q289 634 304 649T335 668Q336 668 340 668T346 669Q369 669 386 652T404 612T387 572T346 554Q323 554 306 570T289 611"],172:[356,-89,667,56,611,"56 323T56 336T70 356H596Q603 353 611 343V102Q598 89 591 89Q587 89 584 90T579 94T575 98T572 102L571 209V316H70Q56 323 56 336"],175:[590,-544,500,69,430,"69 544V590H430V544H69"],176:[715,-542,500,147,352,"147 628Q147 669 179 692T244 715Q298 715 325 689T352 629Q352 592 323 567T249 542Q202 542 175 567T147 628ZM313 628Q313 660 300 669T259 678H253Q248 678 242 678T234 679Q217 679 207 674T192 659T188 644T187 629Q187 600 198 590Q210 579 250 579H265Q279 579 288 581T305 595T313 628"],177:[666,0,778,56,722,"56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333"],180:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],215:[491,-9,778,147,630,"630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29"],247:[537,36,778,56,721,"318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34"],710:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],711:[644,-513,500,114,385,"114 611L127 630L136 644Q138 644 193 612Q248 581 250 581L306 612Q361 644 363 644L385 611L318 562L249 513L114 611"],713:[590,-544,500,69,430,"69 544V590H430V544H69"],714:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],715:[699,-505,500,106,296,"106 655Q106 671 119 685T150 699Q166 699 177 688Q190 671 222 629T275 561T295 533T282 519L267 505L196 563Q119 626 113 634Q106 643 106 655"],728:[694,-515,500,92,407,"250 515Q179 515 138 565T92 683V694H129V689Q129 688 129 683T130 675Q137 631 169 599T248 567Q304 567 337 608T370 689V694H407V683Q403 617 361 566T250 515"],729:[669,-549,500,190,309,"190 609Q190 637 208 653T252 669Q275 667 292 652T309 609Q309 579 292 564T250 549Q225 549 208 564T190 609"],732:[668,-565,500,83,416,"179 601Q164 601 151 595T131 584T111 565L97 577L83 588Q83 589 95 603T121 633T142 654Q165 668 187 668T253 650T320 632Q335 632 348 638T368 649T388 668L402 656L416 645Q375 586 344 572Q330 565 313 565Q292 565 248 583T179 601"],8211:[285,-248,500,0,499,"0 248V285H499V248H0"],8212:[285,-248,1000,0,999,"0 248V285H999V248H0"],8216:[694,-379,278,64,199,"64 494Q64 548 86 597T131 670T160 694Q163 694 172 685T182 672Q182 669 170 656T144 625T116 573T101 501Q101 489 102 489T107 491T120 497T138 500Q163 500 180 483T198 440T181 397T139 379Q110 379 87 405T64 494"],8217:[694,-379,278,78,212,"78 634Q78 659 95 676T138 694Q166 694 189 668T212 579Q212 525 190 476T146 403T118 379Q114 379 105 388T95 401Q95 404 107 417T133 448T161 500T176 572Q176 584 175 584T170 581T157 576T139 573Q114 573 96 590T78 634"],8220:[694,-379,500,128,466,"128 494Q128 528 137 560T158 616T185 658T209 685T223 694T236 685T245 670Q244 668 231 654T204 622T178 571T164 501Q164 489 165 489T170 491T183 497T201 500Q226 500 244 483T262 440T245 397T202 379Q173 379 151 405T128 494ZM332 494Q332 528 341 560T362 616T389 658T413 685T427 694T439 685T449 672Q449 669 437 656T411 625T383 573T368 501Q368 489 369 489T374 491T387 497T405 500Q430 500 448 483T466 440T449 397T406 379Q377 379 355 405T332 494"],8221:[694,-379,500,34,372,"34 634Q34 659 50 676T93 694Q121 694 144 668T168 579Q168 525 146 476T101 403T73 379Q69 379 60 388T50 401Q50 404 62 417T88 448T116 500T131 572Q131 584 130 584T125 581T112 576T94 573Q69 573 52 590T34 634ZM238 634Q238 659 254 676T297 694Q325 694 348 668T372 579Q372 525 350 476T305 403T277 379Q273 379 264 388T254 401Q254 404 266 417T292 448T320 500T335 572Q335 584 334 584T329 581T316 576T298 573Q273 573 256 590T238 634"],8224:[705,216,444,54,389,"182 675Q195 705 222 705Q234 705 243 700T253 691T263 675L262 655Q262 620 252 549T240 454V449Q250 451 288 461T346 472T377 461T389 431Q389 417 379 404T346 390Q327 390 288 401T243 412H240V405Q245 367 250 339T258 301T261 274T263 225Q263 124 255 -41T239 -213Q236 -216 222 -216H217Q206 -216 204 -212T200 -186Q199 -175 199 -168Q181 38 181 225Q181 265 182 280T191 327T204 405V412H201Q196 412 157 401T98 390Q76 390 66 403T55 431T65 458T98 472Q116 472 155 462T205 449Q204 452 204 460T201 490T193 547Q182 619 182 655V675"],8225:[705,205,444,54,389,"181 658Q181 705 222 705T263 658Q263 633 252 572T240 497Q240 496 241 496Q243 496 285 507T345 519Q365 519 376 508T388 478Q388 466 384 458T375 447T361 438H344Q318 438 282 448T241 459Q240 458 240 456Q240 449 251 384T263 297Q263 278 255 267T238 253T222 250T206 252T190 266T181 297Q181 323 192 383T204 458Q204 459 203 459Q198 459 162 449T101 438H84Q74 443 70 446T61 457T56 478Q56 497 67 508T99 519Q117 519 159 508T203 496Q204 496 204 499Q204 507 193 572T181 658ZM181 202Q181 249 222 249T263 202Q263 185 259 161T249 103T240 48V41H243Q248 41 287 52T346 63T377 52T389 22Q389 8 379 -5T346 -19Q327 -19 288 -8T243 3H240V-4Q243 -24 249 -58T259 -117T263 -158Q263 -177 255 -188T238 -202T222 -205T206 -203T190 -189T181 -158Q181 -141 185 -117T195 -59T204 -4V3H201Q196 3 157 -8T98 -19Q76 -19 66 -6T55 22T65 49T98 63Q117 63 156 52T201 41H204V48Q201 68 195 102T185 161T181 202"],8230:[120,0,1172,78,1093,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60"],8242:[560,-43,275,30,262,"79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43"],8407:[714,-516,0,-471,-29,"-123 694Q-123 702 -118 708T-103 714Q-93 714 -88 706T-80 687T-67 660T-40 633Q-29 626 -29 615Q-29 606 -36 600T-53 590T-83 571T-121 531Q-135 516 -143 516T-157 522T-163 536T-152 559T-129 584T-116 595H-287L-458 596Q-459 597 -461 599T-466 602T-469 607T-471 615Q-471 622 -458 635H-99Q-123 673 -123 694"],8592:[511,11,1000,55,944,"944 261T944 250T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H929Q944 261 944 250"],8593:[694,193,500,17,483,"27 414Q17 414 17 433Q17 437 17 439T17 444T19 447T20 450T22 452T26 453T30 454T36 456Q80 467 120 494T180 549Q227 607 238 678Q240 694 251 694Q259 694 261 684Q261 677 265 659T284 608T320 549Q340 525 363 507T405 479T440 463T467 455T479 451Q483 447 483 433Q483 413 472 413Q467 413 458 416Q342 448 277 545L270 555V-179Q262 -193 252 -193H250H248Q236 -193 230 -179V555L223 545Q192 499 146 467T70 424T27 414"],8594:[511,11,1000,56,944,"56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250"],8595:[694,194,500,17,483,"473 86Q483 86 483 67Q483 63 483 61T483 56T481 53T480 50T478 48T474 47T470 46T464 44Q428 35 391 14T316 -55T264 -168Q264 -170 263 -173T262 -180T261 -184Q259 -194 251 -194Q242 -194 238 -176T221 -121T180 -49Q169 -34 155 -21T125 2T95 20T67 33T44 42T27 47L21 49Q17 53 17 67Q17 87 28 87Q33 87 42 84Q158 52 223 -45L230 -55V312Q230 391 230 482T229 591Q229 662 231 676T243 693Q244 694 251 694Q264 692 270 679V-55L277 -45Q307 1 353 33T430 76T473 86"],8596:[511,11,1000,55,944,"263 479Q267 501 271 506T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H835Q729 349 696 475Q691 493 691 500Q691 511 711 511Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q144 292 194 349T263 479"],8597:[772,272,500,17,483,"27 492Q17 492 17 511Q17 515 17 517T17 522T19 525T20 528T22 530T26 531T30 532T36 534Q80 545 120 572T180 627Q210 664 223 701T238 755T250 772T261 762Q261 757 264 741T282 691T319 628Q352 589 390 566T454 536L479 529Q483 525 483 511Q483 491 472 491Q467 491 458 494Q342 526 277 623L270 633V-133L277 -123Q307 -77 353 -45T430 -2T473 8Q483 8 483 -11Q483 -15 483 -17T483 -22T481 -25T480 -28T478 -30T474 -31T470 -32T464 -34Q407 -49 364 -84T300 -157T270 -223T261 -262Q259 -272 250 -272Q242 -272 239 -255T223 -201T180 -127Q169 -112 155 -99T125 -76T95 -58T67 -45T44 -36T27 -31L21 -29Q17 -25 17 -11Q17 9 28 9Q33 9 42 6Q158 -26 223 -123L230 -133V633L223 623Q192 577 146 545T70 502T27 492"],8598:[720,195,1000,29,944,"204 662Q257 662 301 676T369 705T394 720Q398 720 407 711T417 697Q417 688 389 671T310 639T212 623Q176 623 153 628Q151 628 221 557T546 232Q942 -164 943 -168Q944 -170 944 -174Q944 -182 938 -188T924 -195Q922 -195 916 -193Q912 -191 517 204Q440 281 326 394T166 553L121 598Q126 589 126 541Q126 438 70 349Q59 332 52 332Q48 332 39 341T29 355Q29 358 38 372T57 407T77 464T86 545Q86 583 78 614T63 663T55 683Q55 693 65 693Q73 693 82 688Q136 662 204 662"],8599:[720,195,1000,55,971,"582 697Q582 701 591 710T605 720Q607 720 630 706T697 677T795 662Q830 662 863 670T914 686T934 694Q942 694 944 685Q944 680 936 663T921 615T913 545Q913 490 927 446T956 379T970 355Q970 351 961 342T947 332Q940 332 929 349Q874 436 874 541Q874 590 878 598L832 553Q787 508 673 395T482 204Q87 -191 83 -193Q77 -195 75 -195Q67 -195 61 -189T55 -174Q55 -170 56 -168Q58 -164 453 232Q707 487 777 557T847 628Q824 623 787 623Q689 623 599 679Q582 690 582 697"],8600:[695,220,1000,55,970,"55 675Q55 683 60 689T75 695Q77 695 83 693Q87 691 482 296Q532 246 605 174T717 62T799 -20T859 -80T878 -97Q874 -93 874 -41Q874 64 929 151Q940 168 947 168Q951 168 960 159T970 145Q970 143 956 121T928 54T913 -45Q913 -83 920 -114T936 -163T944 -185Q942 -194 934 -194Q932 -194 914 -186T864 -170T795 -162Q743 -162 698 -176T630 -205T605 -220Q601 -220 592 -211T582 -197Q582 -187 611 -170T691 -138T787 -123Q824 -123 847 -128Q848 -128 778 -57T453 268Q58 664 56 668Q55 670 55 675"],8601:[695,220,1000,29,944,"126 -41Q126 -92 121 -97Q121 -98 139 -80T200 -20T281 61T394 173T517 296Q909 690 916 693Q922 695 924 695Q932 695 938 689T944 674Q944 670 943 668Q942 664 546 268Q292 13 222 -57T153 -128Q176 -123 212 -123Q310 -123 400 -179Q417 -190 417 -197Q417 -201 408 -210T394 -220Q392 -220 369 -206T302 -177T204 -162Q131 -162 67 -194Q63 -195 59 -192T55 -183Q55 -180 62 -163T78 -115T86 -45Q86 10 72 54T44 120T29 145Q29 149 38 158T52 168Q59 168 70 151Q126 62 126 -41"],8614:[511,11,1000,54,944,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H95V155"],8617:[511,11,1126,55,1070,"903 424T903 444T929 464Q976 464 1023 434T1070 347Q1070 316 1055 292T1016 256T971 237T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H926Q929 270 941 271T960 275T978 280T998 290T1015 307Q1030 325 1030 347Q1030 355 1027 364T1014 387T983 411T929 424H928Q903 424 903 444"],8618:[511,11,1126,55,1070,"55 347Q55 380 72 404T113 441T159 458T197 464Q222 464 222 444Q222 429 204 426T157 417T110 387Q95 369 95 347Q95 339 98 330T111 307T142 283T196 270H961Q845 357 818 493Q818 494 818 496T817 499Q817 511 834 511H837Q846 511 849 510T855 506T858 497T861 481T869 456Q891 389 942 336T1061 261Q1070 258 1070 250Q1070 244 1065 241T1041 231T1003 212Q962 186 932 152T887 85T866 35T858 4Q856 -6 853 -8T837 -11Q817 -11 817 0Q817 7 822 25Q854 151 961 230H196Q149 230 102 260T55 347"],8636:[511,-230,1000,55,944,"62 230Q56 236 55 244Q55 252 57 255T69 265Q114 292 151 326T208 391T243 448T265 491T273 509Q276 511 288 511Q304 511 306 505Q309 501 303 484Q293 456 279 430T251 383T223 344T196 313T173 291T156 276L148 270H929Q944 261 944 250T929 230H62"],8637:[270,11,1000,55,944,"55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8640:[511,-230,1000,56,945,"691 500Q691 511 711 511Q720 511 723 510T730 504T735 490T746 464T768 425Q796 378 835 339T897 285T933 263Q941 258 942 256T944 245T937 230H70Q56 237 56 250T70 270H852Q802 308 762 364T707 455T691 500"],8641:[270,11,1000,56,944,"56 237T56 250T70 270H937Q944 263 944 256Q944 251 944 250T943 246T940 242T933 238Q794 153 734 7Q729 -7 726 -9T711 -11Q695 -11 693 -5Q690 -1 696 16Q721 84 763 139T852 230H70Q56 237 56 250"],8652:[671,11,1000,55,945,"691 660Q691 671 711 671Q720 671 723 670T730 664T735 650T746 624T768 585Q797 538 836 499T897 445T933 423Q941 418 942 416T944 405T937 390H70Q56 397 56 410T70 430H852Q802 468 762 524T707 615T691 660ZM55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8656:[525,24,1000,56,945,"944 153Q944 140 929 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H929Q944 359 944 347Q944 336 930 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173H930Q931 172 933 171T936 169T938 167T941 164T942 162T943 158T944 153"],8657:[694,194,611,31,579,"228 -179Q227 -180 226 -182T223 -186T221 -189T218 -192T214 -193T208 -194Q196 -194 189 -181L188 125V430L176 419Q122 369 59 338Q46 330 40 330Q38 330 31 337V350Q31 362 33 365T46 374Q60 381 77 390T128 426T190 484T247 567T292 677Q295 688 298 692Q302 694 305 694Q313 694 318 677Q334 619 363 568T420 485T481 427T532 391T564 374Q575 368 577 365T579 350V337Q572 330 570 330Q564 330 551 338Q487 370 435 419L423 430L422 125V-181Q409 -194 401 -194Q397 -194 394 -193T388 -189T385 -184T382 -180V-177V475L373 487Q331 541 305 602Q304 601 300 591T290 571T278 548T260 519T238 488L229 476L228 148V-179"],8658:[525,24,1000,56,944,"580 514Q580 525 596 525Q601 525 604 525T609 525T613 524T615 523T617 520T619 517T622 512Q659 438 720 381T831 300T927 263Q944 258 944 250T935 239T898 228T840 204Q696 134 622 -12Q618 -21 615 -22T600 -24Q580 -24 580 -17Q580 -13 585 0Q620 69 671 123L681 133H70Q56 140 56 153Q56 168 72 173H725L735 181Q774 211 852 250Q851 251 834 259T789 283T735 319L725 327H72Q56 332 56 347Q56 360 70 367H681L671 377Q638 412 609 458T580 514"],8659:[694,194,611,31,579,"401 694Q412 694 422 681V375L423 70L435 81Q487 130 551 162Q564 170 570 170Q572 170 579 163V150Q579 138 577 135T564 126Q541 114 518 99T453 48T374 -46T318 -177Q313 -194 305 -194T293 -178T272 -119T225 -31Q158 70 46 126Q35 132 33 135T31 150V163Q38 170 40 170Q46 170 59 162Q122 131 176 81L188 70V375L189 681Q199 694 208 694Q219 694 228 680V352L229 25L238 12Q279 -42 305 -102Q344 -23 373 13L382 25V678Q387 692 401 694"],8660:[526,25,1000,33,966,"308 524Q318 526 323 526Q340 526 340 514Q340 507 336 499Q326 476 314 454T292 417T274 391T260 374L255 368Q255 367 500 367Q744 367 744 368L739 374Q734 379 726 390T707 416T685 453T663 499Q658 511 658 515Q658 525 680 525Q687 524 690 523T695 519T701 507Q766 359 902 287Q921 276 939 269T961 259T966 250Q966 246 965 244T960 240T949 236T930 228T902 213Q763 137 701 -7Q697 -16 695 -19T690 -23T680 -25Q658 -25 658 -15Q658 -11 663 1Q673 24 685 46T707 83T725 109T739 126L744 132Q744 133 500 133Q255 133 255 132L260 126Q265 121 273 110T292 84T314 47T336 1Q341 -11 341 -15Q341 -25 319 -25Q312 -24 309 -23T304 -19T298 -7Q233 141 97 213Q83 221 70 227T51 235T41 239T35 243T34 250T35 256T40 261T51 265T70 273T97 287Q235 363 299 509Q305 522 308 524ZM792 319L783 327H216Q183 294 120 256L110 250L120 244Q173 212 207 181L216 173H783L792 181Q826 212 879 244L889 250L879 256Q826 288 792 319"],8661:[772,272,611,31,579,"290 755Q298 772 305 772T318 757T343 706T393 633Q431 588 473 558T545 515T579 497V484Q579 464 570 464Q564 464 550 470Q485 497 423 550L422 400V100L423 -50Q485 3 550 30Q565 36 570 36Q579 36 579 16V3Q575 -1 549 -12T480 -53T393 -132Q361 -172 342 -208T318 -258T305 -272T293 -258T268 -208T217 -132Q170 -80 128 -51T61 -12T31 3V16Q31 36 40 36Q46 36 61 30Q86 19 109 6T146 -18T173 -38T188 -50V550Q186 549 173 539T147 519T110 495T61 470Q46 464 40 464Q31 464 31 484V497Q34 500 63 513T135 557T217 633Q267 692 290 755ZM374 598Q363 610 351 625T332 651T316 676T305 695L294 676Q282 657 267 636T236 598L228 589V-89L236 -98Q247 -110 259 -125T278 -151T294 -176T305 -195L316 -176Q328 -157 343 -136T374 -98L382 -89V589L374 598"],8704:[694,22,556,0,556,"0 673Q0 684 7 689T20 694Q32 694 38 680T82 567L126 451H430L473 566Q483 593 494 622T512 668T519 685Q524 694 538 694Q556 692 556 674Q556 670 426 329T293 -15Q288 -22 278 -22T263 -15Q260 -11 131 328T0 673ZM414 410Q414 411 278 411T142 410L278 55L414 410"],8706:[715,22,531,42,567,"202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306"],8707:[694,0,556,56,500,"56 661T56 674T70 694H487Q497 686 500 679V15Q497 10 487 1L279 0H70Q56 7 56 20T70 40H460V327H84Q70 334 70 347T84 367H460V654H70Q56 661 56 674"],8709:[772,78,500,39,460,"331 696Q335 708 339 722T345 744T350 759T357 769T367 772Q374 772 381 767T388 754Q388 746 377 712L366 673L378 661Q460 575 460 344Q460 281 456 234T432 126T373 27Q319 -22 250 -22Q214 -22 180 -7Q168 -3 168 -4L159 -33Q148 -71 142 -75Q138 -78 132 -78Q124 -78 118 -72T111 -60Q111 -52 122 -18L133 21L125 29Q39 111 39 344Q39 596 137 675Q187 716 251 716Q265 716 278 714T296 710T315 703T331 696ZM276 676Q264 679 246 679Q196 679 159 631Q134 597 128 536T121 356Q121 234 127 174T151 80L234 366Q253 430 275 506T308 618L318 654Q318 656 294 669L276 676ZM181 42Q207 16 250 16Q291 16 324 47Q354 78 366 136T378 356Q378 470 372 528T349 616L348 613Q348 611 264 326L181 42"],8711:[683,33,833,46,786,"46 676Q46 679 51 683H781Q786 679 786 676Q786 674 617 326T444 -26Q439 -33 416 -33T388 -26Q385 -22 216 326T46 676ZM697 596Q697 597 445 597T193 596Q195 591 319 336T445 80L697 596"],8712:[541,41,667,84,583,"84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250"],8713:[716,215,667,84,584,"196 25Q84 109 84 250Q84 372 166 450T360 539Q361 539 375 539T413 540T460 540L547 707Q550 716 563 716Q570 716 575 712T581 703T583 696T505 540H568Q583 532 583 520Q583 511 570 501L484 500L366 270H568Q583 262 583 250T568 230H346L247 38Q284 16 328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 447 -40T419 -41Q304 -41 228 3Q117 -211 115 -212Q111 -215 104 -215T92 -212T86 -204T84 -197Q84 -190 89 -183L196 25ZM214 61L301 230H124V228Q124 196 147 147T214 61ZM321 270L440 500Q353 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H321"],8715:[541,40,667,83,582,"83 520Q83 532 98 540H195Q202 540 220 540T249 541Q404 541 494 455Q582 374 582 250Q582 165 539 99T434 0T304 -39Q297 -40 195 -40H98Q83 -32 83 -20Q83 -10 96 0H200Q311 1 337 6Q369 14 401 28Q422 39 445 55Q484 85 508 127T537 191T542 228V230H98Q84 237 84 250T98 270H542V272Q542 280 539 295T527 336T497 391T445 445Q422 461 401 472Q386 479 374 483T347 491T325 495T298 498T273 499T239 500T200 500L96 501Q83 511 83 520"],8722:[270,-230,778,84,694,"84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250"],8723:[500,166,778,56,722,"56 467T56 480T70 500H707Q722 492 722 480T707 460H409V187H707Q722 179 722 167Q722 154 707 147H409V0V-93Q409 -144 406 -155T389 -166Q376 -166 372 -155T368 -105Q368 -96 368 -62T369 -2V147H70Q56 154 56 167T70 187H369V460H70Q56 467 56 480"],8725:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],8726:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],8727:[465,-35,500,64,435,"229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286"],8728:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251ZM245 403Q188 403 142 361T96 250Q96 183 141 140T250 96Q284 96 313 109T354 135T375 160Q403 197 403 250Q403 313 360 358T245 403"],8729:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251"],8730:[800,200,833,71,853,"95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178"],8733:[442,11,778,56,722,"56 124T56 216T107 375T238 442Q260 442 280 438T319 425T352 407T382 385T406 361T427 336T442 315T455 297T462 285L469 297Q555 442 679 442Q687 442 722 437V398H718Q710 400 694 400Q657 400 623 383T567 343T527 294T503 253T495 235Q495 231 520 192T554 143Q625 44 696 44Q717 44 719 46H722V-5Q695 -11 678 -11Q552 -11 457 141Q455 145 454 146L447 134Q362 -11 235 -11Q157 -11 107 56ZM93 213Q93 143 126 87T220 31Q258 31 292 48T349 88T389 137T413 178T421 196Q421 200 396 239T362 288Q322 345 288 366T213 387Q163 387 128 337T93 213"],8734:[442,11,1000,55,944,"55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214"],8736:[694,0,722,55,666,"71 0L68 2Q65 3 63 5T58 11T55 20Q55 22 57 28Q67 43 346 361Q397 420 474 508Q595 648 616 671T647 694T661 688T666 674Q666 668 663 663Q662 662 627 622T524 503T390 350L120 41L386 40H653Q666 30 666 20Q666 8 651 0H71"],8739:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],8741:[750,250,500,132,368,"133 736Q138 750 153 750Q164 750 170 739Q172 735 172 250T170 -239Q164 -250 152 -250Q144 -250 138 -244L137 -243Q133 -241 133 -179T132 250Q132 731 133 736ZM329 739Q334 750 346 750Q353 750 361 744L362 743Q366 741 366 679T367 250T367 -178T362 -243L361 -244Q355 -250 347 -250Q335 -250 329 -239Q327 -235 327 250T329 739"],8743:[598,22,667,55,611,"318 591Q325 598 333 598Q344 598 348 591Q349 590 414 445T545 151T611 -4Q609 -22 591 -22Q588 -22 586 -21T581 -20T577 -17T575 -13T572 -9T570 -4L333 528L96 -4Q87 -20 80 -21Q78 -22 75 -22Q57 -22 55 -4Q55 2 120 150T251 444T318 591"],8744:[598,22,667,55,611,"55 580Q56 587 61 592T75 598Q86 598 96 580L333 48L570 580Q579 596 586 597Q588 598 591 598Q609 598 611 580Q611 574 546 426T415 132T348 -15Q343 -22 333 -22T318 -15Q317 -14 252 131T121 425T55 580"],8745:[598,22,667,55,611,"88 -21T75 -21T55 -7V200Q55 231 55 280Q56 414 60 428Q61 430 61 431Q77 500 152 549T332 598Q443 598 522 544T610 405Q611 399 611 194V-7Q604 -22 591 -22Q582 -22 572 -9L570 405Q563 433 556 449T529 485Q498 519 445 538T334 558Q251 558 179 518T96 401Q95 396 95 193V-7Q88 -21 75 -21"],8746:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598"],8747:[716,216,417,55,472,"151 -112Q151 -150 106 -161Q106 -165 114 -172T134 -179Q155 -179 170 -146Q181 -120 188 -64T206 101T232 310Q256 472 277 567Q308 716 392 716Q434 716 453 681T472 613Q472 590 458 577T424 564Q404 564 390 578T376 612Q376 650 421 661Q421 663 418 667T407 675T393 679Q387 679 380 675Q360 665 350 619T326 438Q302 190 253 -57Q235 -147 201 -186Q174 -213 138 -216Q93 -216 74 -181T55 -113Q55 -91 69 -78T103 -64Q123 -64 137 -78T151 -112"],8764:[367,-133,778,55,722,"55 166Q55 241 101 304T222 367Q260 367 296 349T362 304T421 252T484 208T554 189Q616 189 655 236T694 338Q694 350 698 358T708 367Q722 367 722 334Q722 260 677 197T562 134H554Q517 134 481 152T414 196T355 248T292 293T223 311Q179 311 145 286Q109 257 96 218T80 156T69 133Q55 133 55 166"],8768:[583,83,278,55,222,"55 569Q55 583 83 583Q122 583 151 565T194 519T215 464T222 411Q222 360 194 304T139 193T111 89Q111 38 134 -7T195 -55Q222 -57 222 -69Q222 -83 189 -83Q130 -83 93 -33T55 90Q55 130 72 174T110 252T148 328T166 411Q166 462 144 507T83 555Q55 556 55 569"],8771:[464,-36,778,55,722,"55 283Q55 356 103 409T217 463Q262 463 297 447T395 382Q431 355 446 344T493 320T554 307H558Q613 307 652 344T694 433Q694 464 708 464T722 432Q722 356 673 304T564 251H554Q510 251 465 275T387 329T310 382T223 407H219Q164 407 122 367Q91 333 85 295T76 253T69 250Q55 250 55 283ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8773:[589,-22,1000,55,722,"55 388Q55 463 101 526T222 589Q260 589 296 571T362 526T421 474T484 430T554 411Q616 411 655 458T694 560Q694 572 698 580T708 589Q722 589 722 556Q722 482 677 419T562 356H554Q517 356 481 374T414 418T355 471T292 515T223 533Q179 533 145 508Q109 479 96 440T80 378T69 355Q55 355 55 388ZM56 236Q56 249 70 256H707Q722 248 722 236Q722 225 708 217L390 216H72Q56 221 56 236ZM56 42Q56 57 72 62H708Q722 52 722 42Q722 30 707 22H70Q56 29 56 42"],8776:[483,-55,778,55,722,"55 319Q55 360 72 393T114 444T163 472T205 482Q207 482 213 482T223 483Q262 483 296 468T393 413L443 381Q502 346 553 346Q609 346 649 375T694 454Q694 465 698 474T708 483Q722 483 722 452Q722 386 675 338T555 289Q514 289 468 310T388 357T308 404T224 426Q164 426 125 393T83 318Q81 289 69 289Q55 289 55 319ZM55 85Q55 126 72 159T114 210T163 238T205 248Q207 248 213 248T223 249Q262 249 296 234T393 179L443 147Q502 112 553 112Q609 112 649 141T694 220Q694 249 708 249T722 217Q722 153 675 104T555 55Q514 55 468 76T388 123T308 170T224 192Q164 192 125 159T83 84Q80 55 69 55Q55 55 55 85"],8781:[484,-16,778,55,722,"55 464Q55 471 60 477T74 484Q80 484 108 464T172 420T268 376T389 356Q436 356 483 368T566 399T630 436T675 467T695 482Q701 484 703 484Q711 484 716 478T722 464Q722 454 707 442Q550 316 389 316Q338 316 286 329T195 362T124 402T76 437T57 456Q55 462 55 464ZM57 45Q66 58 109 88T230 151T381 183Q438 183 494 168T587 135T658 94T703 61T720 45Q722 39 722 36Q722 28 717 22T703 16Q697 16 669 36T606 80T510 124T389 144Q341 144 294 132T211 101T147 64T102 33T82 18Q76 16 74 16Q66 16 61 22T55 36Q55 39 57 45"],8784:[670,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153ZM329 610Q329 634 346 652T389 670Q413 670 431 654T450 611Q450 586 433 568T390 550T347 567T329 610"],8800:[716,215,778,56,722,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215"],8801:[464,-36,778,56,722,"56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8804:[636,138,778,83,694,"674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8805:[636,138,778,82,694,"83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8810:[568,67,1000,56,944,"639 -48Q639 -54 634 -60T619 -67H618Q612 -67 536 -26Q430 33 329 88Q61 235 59 239Q56 243 56 250T59 261Q62 266 336 415T615 567L619 568Q622 567 625 567Q639 562 639 548Q639 540 633 534Q632 532 374 391L117 250L374 109Q632 -32 633 -34Q639 -40 639 -48ZM944 -48Q944 -54 939 -60T924 -67H923Q917 -67 841 -26Q735 33 634 88Q366 235 364 239Q361 243 361 250T364 261Q367 266 641 415T920 567L924 568Q927 567 930 567Q944 562 944 548Q944 540 938 534Q937 532 679 391L422 250L679 109Q937 -32 938 -34Q944 -40 944 -48"],8811:[567,67,1000,55,944,"55 539T55 547T60 561T74 567Q81 567 207 498Q297 449 365 412Q633 265 636 261Q639 255 639 250Q639 241 626 232Q614 224 365 88Q83 -65 79 -66Q76 -67 73 -67Q65 -67 60 -61T55 -47Q55 -39 61 -33Q62 -33 95 -15T193 39T320 109L321 110H322L323 111H324L325 112L326 113H327L329 114H330L331 115H332L333 116L334 117H335L336 118H337L338 119H339L340 120L341 121H342L343 122H344L345 123H346L347 124L348 125H349L351 126H352L353 127H354L355 128L356 129H357L358 130H359L360 131H361L362 132L363 133H364L365 134H366L367 135H368L369 136H370L371 137L372 138H373L374 139H375L376 140L378 141L576 251Q63 530 62 533Q55 539 55 547ZM360 539T360 547T365 561T379 567Q386 567 512 498Q602 449 670 412Q938 265 941 261Q944 255 944 250Q944 241 931 232Q919 224 670 88Q388 -65 384 -66Q381 -67 378 -67Q370 -67 365 -61T360 -47Q360 -39 366 -33Q367 -33 400 -15T498 39T625 109L626 110H627L628 111H629L630 112L631 113H632L634 114H635L636 115H637L638 116L639 117H640L641 118H642L643 119H644L645 120L646 121H647L648 122H649L650 123H651L652 124L653 125H654L656 126H657L658 127H659L660 128L661 129H662L663 130H664L665 131H666L667 132L668 133H669L670 134H671L672 135H673L674 136H675L676 137L677 138H678L679 139H680L681 140L683 141L881 251Q368 530 367 533Q360 539 360 547"],8826:[539,41,778,84,694,"84 249Q84 262 91 266T117 270Q120 270 126 270T137 269Q388 273 512 333T653 512Q657 539 676 539Q685 538 689 532T694 520V515Q689 469 672 431T626 366T569 320T500 286T435 265T373 249Q379 248 404 242T440 233T477 221T533 199Q681 124 694 -17Q694 -41 674 -41Q658 -41 653 -17Q646 41 613 84T533 154T418 197T284 220T137 229H114Q104 229 98 230T88 235T84 249"],8827:[539,41,778,83,694,"84 517Q84 539 102 539Q115 539 119 529T125 503T137 459T171 404Q277 275 640 269H661Q694 269 694 249T661 229H640Q526 227 439 214T283 173T173 98T124 -17Q118 -41 103 -41Q83 -41 83 -17Q88 29 105 67T151 132T208 178T277 212T342 233T404 249Q401 250 380 254T345 263T302 276T245 299Q125 358 92 468Q84 502 84 517"],8834:[541,41,778,84,694,"84 250Q84 372 166 450T360 539Q361 539 370 539T395 539T430 540T475 540T524 540H679Q694 532 694 520Q694 511 681 501L522 500H470H441Q366 500 338 496T266 472Q244 461 224 446T179 404T139 337T124 250V245Q124 157 185 89Q244 25 328 7Q348 2 366 2T522 0H681Q694 -10 694 -20Q694 -32 679 -40H526Q510 -40 480 -40T434 -41Q350 -41 289 -25T172 45Q84 127 84 250"],8835:[541,40,778,83,693,"83 520Q83 532 98 540H251Q267 540 297 540T343 541Q427 541 488 525T605 455Q693 374 693 250Q693 165 650 99T545 0T415 -39Q407 -40 251 -40H98Q83 -32 83 -20Q83 -10 96 0H255H308H337Q412 0 439 4T512 28Q533 39 553 54T599 96T639 163T654 250Q654 341 592 411Q557 449 512 472Q468 491 439 495T335 500H306H255L96 501Q83 511 83 520"],8838:[637,138,778,84,694,"84 346Q84 468 166 546T360 635Q361 635 370 635T395 635T430 636T475 636T524 636H679Q694 628 694 616Q694 607 681 597L522 596H470H441Q366 596 338 592T266 568Q244 557 224 542T179 500T139 433T124 346V341Q124 253 185 185Q244 121 328 103Q348 98 366 98T522 96H681Q694 86 694 76Q694 64 679 56H526Q510 56 480 56T434 55Q350 55 289 71T172 141Q84 223 84 346ZM104 -131T104 -118T118 -98H679Q694 -106 694 -118T679 -138H118Q104 -131 104 -118"],8839:[637,138,778,83,693,"83 616Q83 628 98 636H251Q267 636 297 636T343 637Q427 637 488 621T605 551Q693 470 693 346Q693 261 650 195T545 96T415 57Q407 56 251 56H98Q83 64 83 76Q83 86 96 96H255H308H337Q412 96 439 100T512 124Q533 135 553 150T599 192T639 259T654 346Q654 437 592 507Q557 545 512 568Q468 587 439 591T335 596H306H255L96 597Q83 607 83 616ZM84 -131T84 -118T98 -98H659Q674 -106 674 -118T659 -138H98Q84 -131 84 -118"],8846:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598ZM313 406Q313 417 313 435T312 459Q312 483 316 493T333 503T349 494T353 461V406V325H515Q516 325 519 323T527 316T531 305T527 294T520 287T515 285H353V204V152Q353 127 350 117T333 107T316 117T312 152Q312 158 312 175T313 204V285H151Q150 285 147 287T139 294T135 305T139 316T146 323T151 325H313V406"],8849:[636,138,778,84,714,"94 620Q98 632 110 636H699Q714 628 714 616T699 596H134V96H698Q714 90 714 76Q714 64 699 56H109Q104 59 95 69L94 344V620ZM84 -118Q84 -103 100 -98H698Q714 -104 714 -118Q714 -130 699 -138H98Q84 -131 84 -118"],8850:[636,138,778,64,694,"64 603T64 616T78 636H668Q675 633 683 623V69Q675 59 668 56H78Q64 63 64 76Q64 91 80 96H643V596H78Q64 603 64 616ZM64 -118Q64 -108 79 -98H678Q694 -104 694 -118Q694 -130 679 -138H78Q64 -131 64 -118"],8851:[598,0,667,61,605,"83 0Q79 0 76 1T71 3T67 6T65 9T63 13T61 16V301L62 585Q70 595 76 598H592Q602 590 605 583V15Q598 2 587 0Q583 0 580 1T575 3T571 6T569 9T567 13T565 16V558H101V15Q94 2 83 0"],8852:[598,0,667,61,605,"77 0Q65 4 61 16V301L62 585Q72 598 81 598Q94 598 101 583V40H565V583Q573 598 585 598Q598 598 605 583V15Q602 10 592 1L335 0H77"],8853:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222"],8854:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM681 278Q669 385 591 463T381 542Q283 542 196 471T96 278V270H681V278ZM275 -42T388 -42T585 32T681 222V230H96V222Q108 107 191 33"],8855:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q531 510 496 523Q446 542 381 542Q324 542 272 519T196 471L389 278L485 375L582 471ZM167 442Q95 362 95 250Q95 137 167 58L359 250L167 442ZM610 58Q682 138 682 250Q682 363 610 442L418 250L610 58ZM196 29Q209 16 230 2T295 -27T388 -42Q409 -42 429 -40T465 -33T496 -23T522 -11T544 1T561 13T574 22T582 29L388 222L196 29"],8856:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q581 472 571 480T556 491T539 502T517 514T491 525T460 534T424 539T381 542Q272 542 184 460T95 251Q95 198 113 150T149 80L167 58L582 471ZM388 -42Q513 -42 597 44T682 250Q682 363 610 442L196 29Q209 16 229 2T295 -27T388 -42"],8857:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM682 250Q682 322 649 387T546 497T381 542Q272 542 184 459T95 250Q95 132 178 45T389 -42Q515 -42 598 45T682 250ZM311 250Q311 285 332 304T375 328Q376 328 382 328T392 329Q424 326 445 305T466 250Q466 217 445 195T389 172Q354 172 333 195T311 250"],8866:[695,0,611,55,555,"55 678Q55 679 56 681T58 684T61 688T65 691T70 693T77 694Q88 692 95 679V367H540Q555 359 555 347Q555 334 540 327H95V15Q88 2 77 0Q73 0 70 1T65 3T61 6T59 9T57 13T55 16V678"],8867:[695,0,611,54,555,"515 678Q515 679 516 681T518 684T521 688T525 691T530 693T537 694Q548 692 555 679V15Q548 2 537 0Q533 0 530 1T525 3T521 6T519 9T517 13T515 16V327H71Q70 327 67 329T59 336T55 347T59 358T66 365T71 367H515V678"],8868:[668,0,778,55,723,"55 642T55 648T59 659T66 666T71 668H708Q723 660 723 648T708 628H409V15Q402 2 391 0Q387 0 384 1T379 3T375 6T373 9T371 13T369 16V628H71Q70 628 67 630T59 637"],8869:[669,0,778,54,723,"369 652Q369 653 370 655T372 658T375 662T379 665T384 667T391 668Q402 666 409 653V40H708Q723 32 723 20T708 0H71Q70 0 67 2T59 9T55 20T59 31T66 38T71 40H369V652"],8872:[750,249,867,119,812,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V367H796Q811 359 811 347Q811 336 797 328L479 327H161L159 328V172L161 173H797Q798 172 800 171T803 169T805 167T808 164T809 162T810 158T811 153Q811 140 796 133H159V-235Q151 -249 141 -249H139"],8900:[488,-12,500,12,488,"242 486Q245 488 250 488Q256 488 258 486Q262 484 373 373T486 258T488 250T486 242T373 127T258 14Q256 12 250 12Q245 12 242 14Q237 16 127 126T14 242Q12 245 12 250T14 258Q16 263 126 373T242 486ZM439 250L250 439L61 250L250 61L439 250"],8901:[310,-190,278,78,199,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250"],8902:[486,-16,500,3,497,"210 282Q210 284 225 381T241 480Q241 484 245 484Q249 486 251 486Q258 486 260 477T272 406Q275 390 276 380Q290 286 290 282L388 299Q484 314 487 314H488Q497 314 497 302Q497 297 434 266Q416 257 404 251L315 206L361 118Q372 98 383 75T401 40L407 28Q407 16 395 16Q394 16 392 16L390 17L250 159L110 17L108 16Q106 16 105 16Q93 16 93 28L99 40Q105 52 116 75T139 118L185 206L96 251Q6 296 4 300Q3 301 3 302Q3 314 12 314H13Q16 314 112 299L210 282"],8904:[505,5,900,26,873,"833 50T833 250T832 450T659 351T487 250T658 150T832 50Q833 50 833 250ZM873 10Q866 -5 854 -5Q851 -5 845 -3L449 226L260 115Q51 -5 43 -5Q39 -5 35 -1T28 7L26 11V489Q33 505 43 505Q51 505 260 385L449 274L845 503Q851 505 853 505Q866 505 873 490V10ZM412 250L67 450Q66 450 66 250T67 50Q69 51 240 150T412 250"],8942:[900,30,278,78,199,"78 30Q78 54 95 72T138 90Q162 90 180 74T199 31Q199 6 182 -12T139 -30T96 -13T78 30ZM78 440Q78 464 95 482T138 500Q162 500 180 484T199 441Q199 416 182 398T139 380T96 397T78 440ZM78 840Q78 864 95 882T138 900Q162 900 180 884T199 841Q199 816 182 798T139 780T96 797T78 840"],8943:[310,-190,1172,78,1093,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250ZM525 250Q525 274 542 292T585 310Q609 310 627 294T646 251Q646 226 629 208T586 190T543 207T525 250ZM972 250Q972 274 989 292T1032 310Q1056 310 1074 294T1093 251Q1093 226 1076 208T1033 190T990 207T972 250"],8945:[820,-100,1282,133,1148,"133 760Q133 784 150 802T193 820Q217 820 235 804T254 761Q254 736 237 718T194 700T151 717T133 760ZM580 460Q580 484 597 502T640 520Q664 520 682 504T701 461Q701 436 684 418T641 400T598 417T580 460ZM1027 160Q1027 184 1044 202T1087 220Q1111 220 1129 204T1148 161Q1148 136 1131 118T1088 100T1045 117T1027 160"],8968:[750,250,444,174,422,"174 734Q178 746 190 750H298H369Q400 750 411 747T422 730T411 713T372 709Q365 709 345 709T310 710H214V-235Q206 -248 196 -250Q192 -250 189 -249T184 -247T180 -244T178 -241T176 -237T174 -234V734"],8969:[750,250,444,21,269,"21 717T21 730T32 746T75 750H147H256Q266 742 269 735V-235Q262 -248 251 -250Q247 -250 244 -249T239 -247T235 -244T233 -241T231 -237T229 -234V710H133Q119 710 99 710T71 709Q43 709 32 713"],8970:[751,251,444,174,423,"174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734"],8971:[751,250,444,21,269,"229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734"],8994:[388,-122,1000,55,944,"55 141Q55 149 72 174T125 234T209 303T329 360T478 388H526Q649 383 765 319Q814 291 858 250T923 179T944 141Q944 133 938 128T924 122Q914 124 912 125T902 139Q766 328 500 328Q415 328 342 308T225 258T150 199T102 148T84 124Q81 122 75 122Q55 127 55 141"],8995:[378,-134,1000,55,944,"923 378Q944 378 944 358Q944 345 912 311T859 259Q710 134 500 134Q288 134 140 259Q55 336 55 358Q55 366 61 372T75 378Q78 378 84 376Q86 376 101 356T147 310T221 257T339 212T500 193Q628 193 734 236Q841 282 903 363Q914 378 923 378"],9136:[744,244,412,56,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 454T239 315T239 247Q240 235 240 124V40Q240 -17 233 -53T201 -130Q155 -206 78 -244H69H64Q58 -244 57 -243T56 -234Q56 -232 56 -231V-225Q56 -218 63 -215Q153 -153 170 -39Q172 -25 173 119V219Q173 245 174 249Q173 258 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],9137:[744,244,412,55,357,"78 744Q153 706 196 640T239 492V376Q239 341 239 314T238 271T238 253Q239 251 239 223V119V49Q239 -39 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 258 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10216:[750,250,389,109,333,"333 -232Q332 -239 327 -244T313 -250Q303 -250 296 -240Q293 -233 202 6T110 250T201 494T296 740Q299 745 306 749L309 750Q312 750 313 750Q331 750 333 732Q333 727 243 489Q152 252 152 250T243 11Q333 -227 333 -232"],10217:[750,250,389,55,279,"55 732Q56 739 61 744T75 750Q85 750 92 740Q95 733 186 494T278 250T187 6T92 -240Q85 -250 75 -250Q67 -250 62 -245T55 -232Q55 -227 145 11Q236 248 236 250T145 489Q55 727 55 732"],10222:[744,244,412,173,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 394V331Q240 259 239 250Q240 242 240 119V49Q240 -42 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 260 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],10223:[744,244,412,55,240,"78 744Q153 706 196 640T239 492V376Q239 339 239 311T238 269T238 252Q240 236 240 124V40Q240 -18 233 -53T202 -130Q156 -206 79 -244H70H65Q58 -244 57 -242T56 -231T57 -220T64 -215Q153 -154 170 -39Q173 -18 174 119V247Q173 249 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10229:[511,11,1609,55,1525,"165 270H1510Q1525 262 1525 250T1510 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10230:[511,11,1638,84,1553,"84 237T84 250T98 270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H98Q84 237 84 250"],10231:[511,11,1859,55,1803,"165 270H1694Q1578 357 1551 493Q1551 494 1551 496T1550 499Q1550 511 1567 511H1570Q1579 511 1582 510T1588 506T1591 497T1594 481T1602 456Q1624 389 1675 336T1794 261Q1803 258 1803 250Q1803 244 1798 241T1774 231T1736 212Q1695 186 1665 152T1620 85T1599 35T1591 4Q1589 -6 1586 -8T1570 -11Q1550 -11 1550 0Q1550 7 1555 25Q1587 151 1694 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10232:[525,24,1609,56,1554,"274 173H1539Q1540 172 1542 171T1545 169T1547 167T1550 164T1551 162T1552 158T1553 153Q1553 140 1538 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1538Q1553 359 1553 347Q1553 336 1539 328L1221 327H903L900 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10233:[525,24,1638,56,1582,"1218 514Q1218 525 1234 525Q1239 525 1242 525T1247 525T1251 524T1253 523T1255 520T1257 517T1260 512Q1297 438 1358 381T1469 300T1565 263Q1582 258 1582 250T1573 239T1536 228T1478 204Q1334 134 1260 -12Q1256 -21 1253 -22T1238 -24Q1218 -24 1218 -17Q1218 -13 1223 0Q1258 69 1309 123L1319 133H70Q56 140 56 153Q56 168 72 173H1363L1373 181Q1412 211 1490 250Q1489 251 1472 259T1427 283T1373 319L1363 327H710L707 328L390 327H72Q56 332 56 347Q56 360 70 367H1319L1309 377Q1276 412 1247 458T1218 514"],10234:[525,24,1858,56,1802,"1438 514Q1438 525 1454 525Q1459 525 1462 525T1467 525T1471 524T1473 523T1475 520T1477 517T1480 512Q1517 438 1578 381T1689 300T1785 263Q1802 258 1802 250T1793 239T1756 228T1698 204Q1554 134 1480 -12Q1476 -21 1473 -22T1458 -24Q1438 -24 1438 -17Q1438 -13 1443 0Q1478 69 1529 123L1539 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1539L1529 377Q1496 412 1467 458T1438 514ZM274 173H1583L1593 181Q1632 211 1710 250Q1709 251 1692 259T1647 283T1593 319L1583 327H930L927 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10236:[511,11,1638,54,1553,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H95V155"],10927:[636,138,778,84,694,"84 346Q84 359 91 363T117 367Q120 367 126 367T137 366Q388 370 512 430T653 609Q657 636 676 636Q685 635 689 629T694 618V612Q689 566 672 528T626 463T569 417T500 383T435 362T373 346Q379 345 404 339T440 330T477 318T533 296Q592 266 630 223T681 145T694 78Q694 57 674 57Q662 57 657 67T652 92T640 135T606 191Q500 320 137 326H114Q104 326 98 327T88 332T84 346ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"],10928:[636,138,778,83,694,"84 614Q84 636 102 636Q115 636 119 626T125 600T137 556T171 501Q277 372 640 366H661Q694 366 694 346T661 326H640Q578 325 526 321T415 307T309 280T222 237T156 172T124 83Q122 66 118 62T103 57Q100 57 98 57T95 58T93 59T90 62T85 67Q83 71 83 80Q88 126 105 164T151 229T208 275T277 309T342 330T404 346Q401 347 380 351T345 360T302 373T245 396Q125 455 92 565Q84 599 84 614ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"]};m.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",id:"MJMATHI",style:"italic",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0,""],47:[716,215,778,139,638,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183Q157 -157 378 274T602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 691 406 241T170 -212Q166 -215 159 -215"],65:[716,0,750,35,726,"208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260"],66:[683,0,759,35,756,"231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229"],67:[705,22,715,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252"],68:[683,0,828,33,803,"287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469"],69:[680,0,738,31,764,"492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213"],70:[680,0,643,31,749,"48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1"],71:[705,22,786,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q492 659 471 656T418 643T357 615T294 567T236 496T189 394T158 260Q156 242 156 221Q156 173 170 136T206 79T256 45T308 28T353 24Q407 24 452 47T514 106Q517 114 529 161T541 214Q541 222 528 224T468 227H431Q425 233 425 235T427 254Q431 267 437 273H454Q494 271 594 271Q634 271 659 271T695 272T707 272Q721 272 721 263Q721 261 719 249Q714 230 709 228Q706 227 694 227Q674 227 653 224Q646 221 643 215T629 164Q620 131 614 108Q589 6 586 3Q584 1 581 1Q571 1 553 21T530 52Q530 53 528 52T522 47Q448 -22 322 -22Q201 -22 126 55T50 252"],72:[683,0,831,31,888,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 219 683Q260 681 355 681Q389 681 418 681T463 682T483 682Q499 682 499 672Q499 670 497 658Q492 641 487 638H485Q483 638 480 638T473 638T464 637T455 637Q416 636 405 634T387 623Q384 619 355 500Q348 474 340 442T328 395L324 380Q324 378 469 378H614L615 381Q615 384 646 504Q674 619 674 627T617 637Q594 637 587 639T580 648Q580 650 582 660Q586 677 588 679T604 682Q609 682 646 681T740 680Q802 680 835 681T871 682Q888 682 888 672Q888 645 876 638H874Q872 638 869 638T862 638T853 637T844 637Q805 636 794 634T776 623Q773 618 704 340T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q520 50 522 50T528 55T534 64T540 82T547 110T558 153Q565 181 569 198Q602 330 602 331T457 332H312L279 197Q245 63 245 58Q245 51 253 49T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],73:[683,0,440,26,504,"43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1"],74:[683,22,555,57,633,"447 625Q447 637 354 637H329Q323 642 323 645T325 664Q329 677 335 683H352Q393 681 498 681Q541 681 568 681T605 682T619 682Q633 682 633 672Q633 670 630 658Q626 642 623 640T604 637Q552 637 545 623Q541 610 483 376Q420 128 419 127Q397 64 333 21T195 -22Q137 -22 97 8T57 88Q57 130 80 152T132 174Q177 174 182 130Q182 98 164 80T123 56Q115 54 115 53T122 44Q148 15 197 15Q235 15 271 47T324 130Q328 142 387 380T447 625"],75:[683,0,849,31,889,"285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628"],76:[683,2,681,32,647,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],77:[684,0,970,35,1051,"289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629"],78:[683,0,803,31,888,"234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637"],79:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476"],80:[683,0,642,33,751,"287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554"],81:[704,194,791,50,740,"399 -80Q399 -47 400 -30T402 -11V-7L387 -11Q341 -22 303 -22Q208 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435Q740 255 592 107Q529 47 461 16L444 8V3Q444 2 449 -24T470 -66T516 -82Q551 -82 583 -60T625 -3Q631 11 638 11Q647 11 649 2Q649 -6 639 -34T611 -100T557 -165T481 -194Q399 -194 399 -87V-80ZM636 468Q636 523 621 564T580 625T530 655T477 665Q429 665 379 640Q277 591 215 464T153 216Q153 110 207 59Q231 38 236 38V46Q236 86 269 120T347 155Q372 155 390 144T417 114T429 82T435 55L448 64Q512 108 557 185T619 334T636 468ZM314 18Q362 18 404 39L403 49Q399 104 366 115Q354 117 347 117Q344 117 341 117T337 118Q317 118 296 98T274 52Q274 18 314 18"],82:[683,21,759,33,755,"230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554"],83:[705,22,613,52,645,"308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24"],84:[677,0,584,21,704,"40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40"],85:[683,22,683,60,767,"107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637"],86:[683,22,583,52,769,"52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648"],87:[683,22,944,51,1048,"436 683Q450 683 486 682T553 680Q604 680 638 681T677 682Q695 682 695 674Q695 670 692 659Q687 641 683 639T661 637Q636 636 621 632T600 624T597 615Q597 603 613 377T629 138L631 141Q633 144 637 151T649 170T666 200T690 241T720 295T759 362Q863 546 877 572T892 604Q892 619 873 628T831 637Q817 637 817 647Q817 650 819 660Q823 676 825 679T839 682Q842 682 856 682T895 682T949 681Q1015 681 1034 683Q1048 683 1048 672Q1048 666 1045 655T1038 640T1028 637Q1006 637 988 631T958 617T939 600T927 584L923 578L754 282Q586 -14 585 -15Q579 -22 561 -22Q546 -22 542 -17Q539 -14 523 229T506 480L494 462Q472 425 366 239Q222 -13 220 -15T215 -19Q210 -22 197 -22Q178 -22 176 -15Q176 -12 154 304T131 622Q129 631 121 633T82 637H58Q51 644 51 648Q52 671 64 683H76Q118 680 176 680Q301 680 313 683H323Q329 677 329 674T327 656Q322 641 318 637H297Q236 634 232 620Q262 160 266 136L501 550L499 587Q496 629 489 632Q483 636 447 637Q428 637 422 639T416 648Q416 650 418 660Q419 664 420 669T421 676T424 680T428 682T436 683"],88:[683,0,828,26,852,"42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0"],89:[683,-1,581,30,763,"66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637"],90:[683,0,683,58,723,"58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8"],97:[441,10,529,33,506,"33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328"],98:[694,11,429,40,422,"73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325"],99:[442,12,433,34,430,"34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159"],100:[694,10,520,33,523,"366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],101:[443,11,466,39,430,"39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353"],102:[705,205,490,55,550,"118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162"],103:[442,205,477,10,480,"311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328"],104:[694,11,576,48,555,"137 683Q138 683 209 688T282 694Q294 694 294 685Q294 674 258 534Q220 386 220 383Q220 381 227 388Q288 442 357 442Q411 442 444 415T478 336Q478 285 440 178T402 50Q403 36 407 31T422 26Q450 26 474 56T513 138Q516 149 519 151T535 153Q555 153 555 145Q555 144 551 130Q535 71 500 33Q466 -10 419 -10H414Q367 -10 346 17T325 74Q325 90 361 192T398 345Q398 404 354 404H349Q266 404 205 306L198 293L164 158Q132 28 127 16Q114 -11 83 -11Q69 -11 59 -2T48 16Q48 30 121 320L195 616Q195 629 188 632T149 637H128Q122 643 122 645T124 664Q129 683 137 683"],105:[661,11,345,21,302,"184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287"],106:[661,204,412,-12,403,"297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376"],107:[694,11,521,48,503,"121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647"],108:[695,12,298,38,266,"117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59"],109:[443,11,878,21,857,"21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287"],110:[443,11,600,21,580,"21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287"],111:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],112:[443,194,503,-39,497,"23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102"],113:[442,194,446,33,460,"33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],114:[443,11,451,21,430,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],115:[443,10,469,53,419,"131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289"],116:[626,11,361,19,330,"26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26"],117:[442,11,572,21,551,"21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],118:[443,11,485,21,467,"173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380"],119:[443,11,716,21,690,"580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385"],120:[442,11,572,35,522,"52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289"],121:[443,205,490,21,497,"21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],122:[442,11,465,35,468,"347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338"],915:[680,-1,615,31,721,"49 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H714Q721 676 721 669Q721 664 708 557T694 447Q692 440 674 440H662Q655 445 655 454Q655 455 658 480T661 534Q661 572 652 592Q638 619 603 626T501 634H471Q398 633 393 630Q389 628 386 622Q385 619 315 341T245 60Q245 46 333 46H345Q366 46 366 35Q366 33 363 21T358 6Q356 1 339 1Q334 1 292 1T187 2Q122 2 88 2T49 1"],920:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM640 466Q640 523 625 565T583 628T532 658T479 668Q370 668 273 559T151 255Q150 245 150 213Q150 156 165 116T207 55T259 26T313 17Q385 17 451 63T561 184Q590 234 615 312T640 466ZM510 276Q510 278 512 288L515 298Q515 299 384 299H253L250 285Q246 271 244 268T231 265H227Q216 265 214 266T207 274Q207 278 223 345T244 416Q247 419 260 419H263Q280 419 280 408Q280 406 278 396L275 386Q275 385 406 385H537L540 399Q544 413 546 416T559 419H563Q574 419 576 418T583 410Q583 403 566 339Q549 271 544 267Q542 265 538 265H530H527Q510 265 510 276"],923:[716,0,694,35,670,"135 2Q114 2 90 2T60 1Q35 1 35 11Q35 28 42 40Q45 46 55 46Q119 46 151 94Q153 97 325 402T498 709Q505 716 526 716Q543 716 549 710Q550 709 560 548T580 224T591 57Q594 52 595 52Q603 47 638 46H663Q670 39 670 35Q669 12 657 0H644Q613 2 530 2Q497 2 469 2T424 2T405 1Q388 1 388 10Q388 15 391 24Q392 27 393 32T395 38T397 41T401 44T406 45T415 46Q473 46 487 64L472 306Q468 365 465 426T459 518L457 550Q456 550 328 322T198 88Q196 80 196 77Q196 49 243 46Q261 46 261 35Q261 34 259 22Q256 7 254 4T240 0Q237 0 211 1T135 2"],926:[678,0,742,53,777,"222 668Q222 670 229 677H654Q677 677 705 677T740 678Q764 678 770 676T777 667Q777 662 764 594Q761 579 757 559T751 528L749 519Q747 512 729 512H717Q710 519 710 525Q712 532 715 559T719 591Q718 595 711 595Q682 598 486 598Q252 598 246 592Q239 587 228 552L216 517Q214 512 197 512H185Q178 517 178 522Q178 524 198 591T222 668ZM227 262Q218 262 215 262T209 266L207 270L227 356Q247 435 250 439Q253 443 260 443H267H280Q287 438 287 433Q287 430 285 420T280 402L278 393Q278 392 431 392H585L590 415Q595 436 598 439T612 443H628Q635 438 635 433Q635 431 615 351T594 268Q592 262 575 262H572Q556 262 556 272Q556 280 560 293L565 313H258L252 292Q248 271 245 267T230 262H227ZM60 0Q53 4 53 11Q53 14 68 89T84 169Q88 176 98 176H104H116Q123 169 123 163Q122 160 117 127T112 88Q112 80 243 80H351H454Q554 80 574 81T597 88V89Q603 100 610 121T622 157T630 174Q633 176 646 176H658Q665 171 665 166Q665 164 643 89T618 7Q616 2 607 1T548 0H335H60"],928:[681,0,831,31,887,"48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H541Q621 680 709 680T812 681Q841 681 855 681T877 679T886 676T887 670Q887 663 885 656Q880 637 875 635Q871 634 860 634H854Q827 634 794 631Q780 628 775 619Q773 614 704 338T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q528 52 533 61Q536 67 572 209T642 491T678 632Q678 634 533 634H388Q387 631 316 347T245 59Q245 55 246 54T253 50T270 48T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1"],931:[683,0,780,58,806,"65 0Q58 4 58 11Q58 16 114 67Q173 119 222 164L377 304Q378 305 340 386T261 552T218 644Q217 648 219 660Q224 678 228 681Q231 683 515 683H799Q804 678 806 674Q806 667 793 559T778 448Q774 443 759 443Q747 443 743 445T739 456Q739 458 741 477T743 516Q743 552 734 574T710 609T663 627T596 635T502 637Q480 637 469 637H339Q344 627 411 486T478 341V339Q477 337 477 336L457 318Q437 300 398 265T322 196L168 57Q167 56 188 56T258 56H359Q426 56 463 58T537 69T596 97T639 146T680 225Q686 243 689 246T702 250H705Q726 250 726 239Q726 238 683 123T639 5Q637 1 610 1Q577 0 348 0H65"],933:[706,0,583,28,700,"45 535Q34 535 31 536T28 544Q28 554 39 578T70 631T126 683T206 705Q230 705 251 698T295 671T330 612T344 514Q344 477 342 473V472Q343 472 347 480T361 509T380 547Q471 704 596 704Q615 704 625 702Q659 692 679 663T700 595Q700 565 696 552T687 537T670 535Q656 535 653 536T649 543Q649 544 649 550T650 562Q650 589 629 605T575 621Q502 621 448 547T365 361Q290 70 290 60Q290 46 379 46H404Q410 40 410 39T408 19Q404 6 398 0H381Q340 2 225 2Q184 2 149 2T94 2T69 1Q61 1 58 1T53 4T51 10Q51 11 53 23Q54 25 55 30T56 36T58 40T60 43T62 44T67 46T73 46T82 46H89Q144 46 163 49T190 62L198 93Q206 124 217 169T241 262T262 350T274 404Q281 445 281 486V494Q281 621 185 621Q147 621 116 601T74 550Q71 539 66 537T45 535"],934:[683,0,667,24,642,"356 624Q356 637 267 637H243Q237 642 237 645T239 664Q243 677 249 683H264Q342 681 429 681Q565 681 571 683H583Q589 677 589 674T587 656Q582 641 578 637H540Q516 637 504 637T479 633T463 630T454 623T448 613T443 597T438 576Q436 566 434 556T430 539L428 533Q442 533 472 526T543 502T613 451T642 373Q642 301 567 241T386 158L336 150Q332 150 331 146Q310 66 310 60Q310 46 399 46H424Q430 40 430 39T428 19Q424 6 418 0H401Q360 2 247 2Q207 2 173 2T119 2T95 1Q87 1 84 1T79 4T77 10Q77 11 79 23Q80 25 81 30T82 36T84 40T86 43T88 44T93 46T99 46T108 46H115Q170 46 189 49T216 62Q220 74 228 107L239 150L223 152Q139 164 82 205T24 311Q24 396 125 462Q207 517 335 533L346 578Q356 619 356 624ZM130 291Q130 203 241 188H249Q249 190 287 342L325 495H324Q313 495 291 491T229 466T168 414Q130 357 130 291ZM536 393Q536 440 507 463T418 496L341 187L351 189Q443 201 487 255Q536 314 536 393"],936:[683,0,612,21,692,"216 151Q48 174 48 329Q48 361 56 403T65 458Q65 482 58 494T43 507T28 510T21 520Q21 528 23 534T29 544L32 546H72H94Q110 546 119 544T139 536T154 514T159 476V465Q159 445 149 399T138 314Q142 229 197 201Q223 187 226 190L233 218Q240 246 253 300T280 407Q333 619 333 625Q333 637 244 637H220Q214 642 214 645T216 664Q220 677 226 683H241Q321 681 405 681Q543 681 549 683H560Q566 677 566 674T564 656Q559 641 555 637H517Q448 636 436 628Q429 623 423 600T373 404L320 192Q370 201 419 248Q451 281 469 317T500 400T518 457Q529 486 542 505T569 532T594 543T621 546H644H669Q692 546 692 536Q691 509 676 509Q623 509 593 399Q587 377 579 355T552 301T509 244T446 195T359 159Q324 151 314 151Q311 151 310 150T298 106T287 60Q287 46 376 46H401Q407 40 407 39T405 19Q401 6 395 0H378Q337 2 224 2Q184 2 150 2T96 2T72 1Q64 1 61 1T56 4T54 10Q54 11 56 23Q57 25 58 30T59 36T61 40T63 43T65 44T70 46T76 46T85 46H92Q147 46 166 49T193 62L204 106Q216 149 216 151"],937:[704,0,772,80,786,"125 84Q127 78 194 76H243V78Q243 122 208 215T165 350Q164 359 162 389Q162 522 272 610Q328 656 396 680T525 704Q628 704 698 661Q734 637 755 601T781 544T786 504Q786 439 747 374T635 226T537 109Q518 81 518 77Q537 76 557 76Q608 76 620 78T640 92Q646 100 656 119T673 155T683 172Q690 173 698 173Q718 173 718 162Q718 161 681 82T642 2Q639 0 550 0H461Q455 5 455 9T458 28Q472 78 510 149T584 276T648 402T677 525Q677 594 636 631T530 668Q476 668 423 641T335 568Q284 499 271 400Q270 388 270 348Q270 298 277 228T285 115Q285 82 280 49T271 6Q269 1 258 1T175 0H87Q83 3 80 7V18Q80 22 82 98Q84 156 85 163T91 172Q94 173 104 173T119 172Q124 169 124 126Q125 104 125 84"],945:[442,11,640,34,603,"34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26"],946:[705,194,566,23,573,"29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431"],947:[441,216,518,11,543,"31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249"],948:[717,10,444,36,451,"195 609Q195 656 227 686T302 717Q319 716 351 709T407 697T433 690Q451 682 451 662Q451 644 438 628T403 612Q382 612 348 641T288 671T249 657T235 628Q235 584 334 463Q401 379 401 292Q401 169 340 80T205 -10H198Q127 -10 83 36T36 153Q36 286 151 382Q191 413 252 434Q252 435 245 449T230 481T214 521T201 566T195 609ZM112 130Q112 83 136 55T204 27Q233 27 256 51T291 111T309 178T316 232Q316 267 309 298T295 344T269 400L259 396Q215 381 183 342T137 256T118 179T112 130"],949:[452,23,466,27,428,"190 -22Q124 -22 76 11T27 107Q27 174 97 232L107 239L99 248Q76 273 76 304Q76 364 144 408T290 452H302Q360 452 405 421Q428 405 428 392Q428 381 417 369T391 356Q382 356 371 365T338 383T283 392Q217 392 167 368T116 308Q116 289 133 272Q142 263 145 262T157 264Q188 278 238 278H243Q308 278 308 247Q308 206 223 206Q177 206 142 219L132 212Q68 169 68 112Q68 39 201 39Q253 39 286 49T328 72T345 94T362 105Q376 103 376 88Q376 79 365 62T334 26T275 -8T190 -22"],950:[704,204,438,44,471,"296 643Q298 704 324 704Q342 704 342 687Q342 682 339 664T336 633Q336 623 337 618T338 611Q339 612 341 612Q343 614 354 616T374 618L384 619H394Q471 619 471 586Q467 548 386 546H372Q338 546 320 564L311 558Q235 506 175 398T114 190Q114 171 116 155T125 127T137 104T153 86T171 72T192 61T213 53T235 46T256 39L322 16Q389 -10 389 -80Q389 -119 364 -154T300 -202Q292 -204 274 -204Q247 -204 225 -196Q210 -192 193 -182T172 -167Q167 -159 173 -148Q180 -139 191 -139Q195 -139 221 -153T283 -168Q298 -166 310 -152T322 -117Q322 -91 302 -75T250 -51T183 -29T116 4T65 62T44 160Q44 287 121 410T293 590L302 595Q296 613 296 643"],951:[443,216,497,21,503,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],952:[705,10,469,35,462,"35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132"],953:[442,10,354,48,333,"139 -10Q111 -10 92 0T64 25T52 52T48 74Q48 89 55 109T85 199T135 375L137 384Q139 394 140 397T145 409T151 422T160 431T173 439T190 442Q202 442 213 435T225 410Q225 404 214 358T181 238T137 107Q126 74 126 54Q126 43 126 39T130 31T142 27H147Q206 27 255 78Q272 98 281 114T290 138T295 149T313 153Q321 153 324 153T329 152T332 149T332 143Q332 106 276 48T145 -10H139"],954:[442,11,576,48,554,"83 -11Q70 -11 62 -4T51 8T49 17Q49 30 96 217T147 414Q160 442 193 442Q205 441 213 435T223 422T225 412Q225 401 208 337L192 270Q193 269 208 277T235 292Q252 304 306 349T396 412T467 431Q489 431 500 420T512 391Q512 366 494 347T449 327Q430 327 418 338T405 368Q405 370 407 380L397 375Q368 360 315 315L253 266L240 257H245Q262 257 300 251T366 230Q422 203 422 150Q422 140 417 114T411 67Q411 26 437 26Q484 26 513 137Q516 149 519 151T535 153Q554 153 554 144Q554 121 527 64T457 -7Q447 -10 431 -10Q386 -10 360 17T333 90Q333 108 336 122T339 146Q339 170 320 186T271 209T222 218T185 221H180L155 122Q129 22 126 16Q113 -11 83 -11"],955:[694,12,583,47,557,"166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673"],956:[442,216,603,23,580,"58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 131Q543 151 547 152Q549 153 557 153H561Q580 153 580 144Q580 138 575 117T555 63T523 13Q510 0 491 -8Q483 -10 467 -10Q446 -10 429 -4T402 11T385 29T376 44T374 51L368 45Q362 39 350 30T324 12T288 -4T246 -11Q199 -11 153 12L129 -85Q108 -167 104 -180T92 -202Q76 -216 58 -216"],957:[442,2,494,45,530,"74 431Q75 431 146 436T219 442Q231 442 231 434Q231 428 185 241L137 51H140L150 55Q161 59 177 67T214 86T261 119T312 165Q410 264 445 394Q458 442 496 442Q509 442 519 434T530 411Q530 390 516 352T469 262T388 162T267 70T106 5Q81 -2 71 -2Q66 -2 59 -1T51 1Q45 5 45 11Q45 13 88 188L132 364Q133 377 125 380T86 385H65Q59 391 59 393T61 412Q65 431 74 431"],958:[704,205,438,21,443,"268 632Q268 704 296 704Q314 704 314 687Q314 682 311 664T308 635T309 620V616H315Q342 619 360 619Q443 619 443 586Q439 548 358 546H344Q326 546 317 549T290 566Q257 550 226 505T195 405Q195 381 201 364T211 342T218 337Q266 347 298 347Q375 347 375 314Q374 297 359 288T327 277T280 275Q234 275 208 283L195 286Q149 260 119 214T88 130Q88 116 90 108Q101 79 129 63T229 20Q238 17 243 15Q337 -21 354 -33Q383 -53 383 -94Q383 -137 351 -171T273 -205Q240 -205 202 -190T158 -167Q156 -163 156 -159Q156 -151 161 -146T176 -140Q182 -140 189 -143Q232 -168 274 -168Q286 -168 292 -165Q313 -151 313 -129Q313 -112 301 -104T232 -75Q214 -68 204 -64Q198 -62 171 -52T136 -38T107 -24T78 -8T56 12T36 37T26 66T21 103Q21 149 55 206T145 301L154 307L148 313Q141 319 136 323T124 338T111 358T103 382T99 413Q99 471 143 524T259 602L271 607Q268 618 268 632"],959:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],960:[431,11,570,19,573,"132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11"],961:[442,216,517,23,510,"58 -216Q25 -216 23 -186Q23 -176 73 26T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 219 486 165T425 74T345 13T266 -10H255H248Q197 -10 165 35L160 41L133 -71Q108 -168 104 -181T92 -202Q76 -216 58 -216ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q217 269 193 170L176 102Q193 26 260 26Q298 26 334 62Q367 92 389 158T418 266T424 322"],962:[442,107,363,30,405,"31 207Q31 306 115 374T302 442Q341 442 373 430T405 400Q405 392 399 383T379 374Q373 375 348 390T296 405Q222 405 160 357T98 249Q98 232 103 218T112 195T132 175T154 159T186 141T219 122Q234 114 255 102T286 85T299 78L302 74Q306 71 308 69T315 61T322 51T328 40T332 25T334 8Q334 -31 305 -69T224 -107Q194 -107 163 -92Q156 -88 156 -80Q156 -73 162 -67T178 -61Q186 -61 190 -63Q209 -71 224 -71Q244 -71 253 -59T263 -30Q263 -25 263 -21T260 -12T255 -4T248 3T239 9T227 17T213 25T195 34T174 46Q170 48 150 58T122 74T97 90T70 112T51 137T36 169T31 207"],963:[431,11,571,31,572,"184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278"],964:[431,13,437,18,517,"39 284Q18 284 18 294Q18 301 45 338T99 398Q134 425 164 429Q170 431 332 431Q492 431 497 429Q517 424 517 402Q517 388 508 376T485 360Q479 358 389 358T299 356Q298 355 283 274T251 109T233 20Q228 5 215 -4T186 -13Q153 -13 153 20V30L203 192Q214 228 227 272T248 336L254 357Q254 358 208 358Q206 358 197 358T183 359Q105 359 61 295Q56 287 53 286T39 284"],965:[443,10,540,21,523,"413 384Q413 406 432 424T473 443Q492 443 507 425T523 367Q523 334 508 270T468 153Q424 63 373 27T282 -10H268Q220 -10 186 2T135 36T111 78T104 121Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Q200 441 225 419T250 355Q248 336 247 334Q247 331 232 291T201 199T185 118Q185 68 211 47T275 26Q317 26 355 57T416 132T452 216T465 277Q465 301 457 318T439 343T421 361T413 384"],966:[442,218,654,50,618,"92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278"],967:[443,204,626,24,600,"576 -125Q576 -147 547 -175T487 -204H476Q394 -204 363 -157Q334 -114 293 26L284 59Q283 58 248 19T170 -66T92 -151T53 -191Q49 -194 43 -194Q36 -194 31 -189T25 -177T38 -154T151 -30L272 102L265 131Q189 405 135 405Q104 405 87 358Q86 351 68 351Q48 351 48 361Q48 369 56 386T89 423T148 442Q224 442 258 400Q276 375 297 320T330 222L341 180Q344 180 455 303T573 429Q579 431 582 431Q600 431 600 414Q600 407 587 392T477 270Q356 138 353 134L362 102Q392 -10 428 -89T490 -168Q504 -168 517 -156T536 -126Q539 -116 543 -115T557 -114T571 -115Q576 -118 576 -125"],968:[694,205,651,21,634,"161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441"],969:[443,12,622,15,604,"495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384"],977:[705,11,591,21,563,"537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564"],981:[694,205,596,42,579,"409 688Q413 694 421 694H429H442Q448 688 448 686Q448 679 418 563Q411 535 404 504T392 458L388 442Q388 441 397 441T429 435T477 418Q521 397 550 357T579 260T548 151T471 65T374 11T279 -10H275L251 -105Q245 -128 238 -160Q230 -192 227 -198T215 -205H209Q189 -205 189 -198Q189 -193 211 -103L234 -11Q234 -10 226 -10Q221 -10 206 -8T161 6T107 36T62 89T43 171Q43 231 76 284T157 370T254 422T342 441Q347 441 348 445L378 567Q409 686 409 688ZM122 150Q122 116 134 91T167 53T203 35T237 27H244L337 404Q333 404 326 403T297 395T255 379T211 350T170 304Q152 276 137 237Q122 191 122 150ZM500 282Q500 320 484 347T444 385T405 400T381 404H378L332 217L284 29Q284 27 285 27Q293 27 317 33T357 47Q400 66 431 100T475 170T494 234T500 282"],982:[431,10,828,19,823,"206 -10Q158 -10 136 24T114 110Q114 233 199 349L205 358H184Q144 358 121 347Q108 340 95 330T75 312T61 295T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 532 431Q799 431 803 430Q823 423 823 402Q823 377 801 364Q790 358 766 358Q748 358 748 357Q748 355 749 348T752 327T754 297Q754 258 738 207T693 107T618 24T520 -10Q488 -10 466 2T432 36T416 77T411 120Q411 128 410 128T404 122Q373 71 323 31T206 -10ZM714 296Q714 316 707 358H251Q250 357 244 348T230 328T212 301T193 267T176 229T164 187T159 144Q159 62 222 62Q290 62 349 127T432 285Q433 286 434 288T435 291T437 293T440 294T444 294T452 294H466Q472 288 472 286Q472 285 464 244T456 170Q456 62 534 62Q604 62 659 139T714 296"],1009:[442,194,517,67,510,"205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322"],1013:[431,11,406,40,382,"227 -11Q149 -11 95 41T40 174Q40 262 87 322Q121 367 173 396T287 430Q289 431 329 431H367Q382 426 382 411Q382 385 341 385H325H312Q191 385 154 277L150 265H327Q340 256 340 246Q340 228 320 219H138V217Q128 187 128 143Q128 77 160 52T231 26Q258 26 284 36T326 57T343 68Q350 68 354 58T358 39Q358 36 357 35Q354 31 337 21T289 0T227 -11"],8710:[716,0,833,48,788,""]};m.FONTDATA.FONTS.MathJax_Main[8942][0]+=400;m.FONTDATA.FONTS.MathJax_Main[8945][0]+=700;m.FONTDATA.FONTS.MathJax_Main[8722][1]+=100;m.FONTDATA.FONTS.MathJax_Main[61][1]+=100;MathJax.Hub.Insert(m.FONTDATA.FONTS.MathJax_Main,{61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});h.Register.StartupHook("SVG Jax Require",function(){h.Register.LoadHook(m.fontDir+"/Size4/Regular/Main.js",function(){m.FONTDATA.FONTS.MathJax_Size4[57684][0]+=200;m.FONTDATA.FONTS.MathJax_Size4[57684][1]+=200});m.FONTDATA.FONTS.MathJax_Main[8773][2]-=222;h.Register.LoadHook(m.fontDir+"/Main/Bold/MathOperators.js",function(){m.FONTDATA.FONTS["MathJax_Main-bold"][8773][2]-=106});h.Register.LoadHook(m.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){m.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275});p.loadComplete(m.fontDir+"/fontdata.js")})})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(m,b,p,h){var o="2.4-beta";var l="MathJax_Main",q="MathJax_Main-bold",n="MathJax_Math-italic",i="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var j="H",a="V",k={load:"extra",dir:j},d={load:"extra",dir:a};var r=[[1000,l],[1200,g],[1800,f],[2400,e],[3000,c]];m.Augment({FONTDATA:{version:o,baselineskip:1200,lineH:800,lineD:200,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[l,g,i],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[q,g,i],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[n,"MathJax_Main-italic",l,g,i],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",q,g,i],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,l]},fraktur:{fonts:["MathJax_Fraktur",l,g,i]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",q,g,i],bold:true},script:{fonts:["MathJax_Script",l,g,i]},"bold-script":{fonts:["MathJax_Script",q,g,i],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",l,g,i]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",q,g,i],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",l,g,i]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",l],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",l]},"-tex-mathit":{fonts:["MathJax_Main-italic",n,l,g,i],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,l,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,l]},"-smallOp":{fonts:[g,l]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{160:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(v,u){for(var t=0,s=this.PLANE1MAP.length;t<s;t++){if(v<this.PLANE1MAP[t][0]){break}if(v<=this.PLANE1MAP[t][1]){v=v-this.PLANE1MAP[t][0]+this.PLANE1MAP[t][2];if(this.REMAPGREEK[v]){v=this.REMAPGREEK[v]}u=this.VARIANT[this.PLANE1MAP[t][3]];break}}return{n:v,variant:u}},DELIMITERS:{40:{dir:a,HW:r,stretch:{top:[9115,c],ext:[9116,c],bot:[9117,c]}},41:{dir:a,HW:r,stretch:{top:[9118,c],ext:[9119,c],bot:[9120,c]}},47:{dir:a,HW:r},91:{dir:a,HW:r,stretch:{top:[9121,c],ext:[9122,c],bot:[9123,c]}},92:{dir:a,HW:r},93:{dir:a,HW:r,stretch:{top:[9124,c],ext:[9125,c],bot:[9126,c]}},123:{dir:a,HW:r,stretch:{top:[9127,c],mid:[9128,c],bot:[9129,c],ext:[9130,c]}},124:{dir:a,HW:[[1000,l]],stretch:{ext:[8739,l]}},125:{dir:a,HW:r,stretch:{top:[9131,c],mid:[9132,c],bot:[9133,c],ext:[9130,c]}},175:{dir:j,HW:[[0.59,l]],stretch:{rep:[175,l]}},710:{dir:j,HW:[[267+250,l],[567+250,g],[1005+330,f],[1447+330,e],[1909,c]]},732:{dir:j,HW:[[333+250,l],[555+250,g],[1000+330,f],[1443+330,e],[1887,c]]},8214:{dir:a,HW:[[602,g],[1000,l,null,8741]],stretch:{ext:[8741,l]}},8592:{dir:j,HW:[[1000,l]],stretch:{left:[8592,l],rep:[8722,l],fuzz:300}},8593:{dir:a,HW:[[888,l]],stretch:{top:[8593,g],ext:[9168,g]}},8594:{dir:j,HW:[[1000,l]],stretch:{rep:[8722,l],right:[8594,l],fuzz:300}},8595:{dir:a,HW:[[888,l]],stretch:{ext:[9168,g],bot:[8595,g]}},8596:{dir:j,HW:[[1000,l]],stretch:{left:[8592,l],rep:[8722,l],right:[8594,l],fuzz:300}},8597:{dir:a,HW:[[1044,l]],stretch:{top:[8593,g],ext:[9168,g],bot:[8595,g]}},8656:{dir:j,HW:[[1000,l]],stretch:{left:[8656,l],rep:[61,l],fuzz:300}},8657:{dir:a,HW:[[888,l]],stretch:{top:[8657,g],ext:[8214,g]}},8658:{dir:j,HW:[[1000,l]],stretch:{rep:[61,l],right:[8658,l],fuzz:300}},8659:{dir:a,HW:[[888,l]],stretch:{ext:[8214,g],bot:[8659,g]}},8660:{dir:j,HW:[[1000,l]],stretch:{left:[8656,l],rep:[61,l],right:[8658,l],fuzz:300}},8661:{dir:a,HW:[[1044,l]],stretch:{top:[8657,g],ext:[8214,g],bot:[8659,g]}},8722:{dir:j,HW:[[611,l]],stretch:{rep:[8722,l],fuzz:300}},8730:{dir:a,HW:r,stretch:{top:[57345,c],ext:[57344,c],bot:[9143,c],fullExtenders:true}},8739:{dir:a,HW:[[1000,l]],stretch:{ext:[8739,l]}},8741:{dir:a,HW:[[1000,l]],stretch:{ext:[8741,l]}},8968:{dir:a,HW:r,stretch:{top:[9121,c],ext:[9122,c]}},8969:{dir:a,HW:r,stretch:{top:[9124,c],ext:[9125,c]}},8970:{dir:a,HW:r,stretch:{ext:[9122,c],bot:[9123,c]}},8971:{dir:a,HW:r,stretch:{ext:[9125,c],bot:[9126,c]}},9130:{dir:a,HW:[[320,c]],stretch:{top:[9130,c],ext:[9130,c],bot:[9130,c]}},9136:{dir:a,HW:[[989,l]],stretch:{top:[9127,c],ext:[9130,c],bot:[9133,c]}},9137:{dir:a,HW:[[989,l]],stretch:{top:[9131,c],ext:[9130,c],bot:[9129,c]}},9168:{dir:a,HW:[[602,g],[1000,l,null,8739]],stretch:{ext:[8739,l]}},9182:{dir:j,HW:[],stretch:{min:0.9,left:[57680,c],mid:[[57683,57682],c],right:[57681,c],rep:[57684,c]}},9183:{dir:j,HW:[],stretch:{min:0.9,left:[57682,c],mid:[[57681,57680],c],right:[57683,c],rep:[57684,c]}},10216:{dir:a,HW:r},10217:{dir:a,HW:r},10222:{dir:a,HW:[[989,l]],stretch:{top:[9127,c],ext:[9130,c],bot:[9129,c]}},10223:{dir:a,HW:[[989,l]],stretch:{top:[9131,c],ext:[9130,c],bot:[9133,c]}},45:{alias:8722,dir:j},94:{alias:710,dir:j},95:{alias:8722,dir:j},126:{alias:732,dir:j},713:{alias:175,dir:j},770:{alias:710,dir:j},771:{alias:732,dir:j},780:{alias:711,dir:j},818:{alias:8722,dir:j},8213:{alias:8722,dir:j},8215:{alias:8722,dir:j},8254:{alias:175,dir:j},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9135:{alias:8722,dir:j},9472:{alias:8722,dir:j},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:j},65080:{alias:9183,dir:j},61:k,8606:k,8608:k,8612:k,8613:d,8614:k,8615:d,8624:d,8625:d,8636:k,8637:k,8638:d,8639:d,8640:k,8641:k,8642:d,8643:d,8666:k,8667:k,9140:k,9141:k,9180:k,9181:k,9184:k,9185:k,10502:k,10503:k,10574:k,10575:d,10576:k,10577:d,10586:k,10587:k,10588:d,10589:d,10590:k,10591:k,10592:d,10593:d,10229:{alias:8592,dir:j},10230:{alias:8594,dir:j},10231:{alias:8596,dir:j},10232:{alias:8656,dir:j},10233:{alias:8658,dir:j},10234:{alias:8660,dir:j},10235:{alias:8612,dir:j},10236:{alias:8614,dir:j},10237:{alias:10502,dir:j},10238:{alias:10503,dir:j}}}});m.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",id:"MJMAIN",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[32,127,"BasicLatin"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[8448,8527,"LetterlikeSymbols"],[8704,8959,"MathOperators"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0,""],40:[750,250,389,94,333,"94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250"],41:[750,250,389,55,294,"60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749"],43:[583,82,778,56,722,"56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250"],44:[121,195,278,78,210,"78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17"],46:[120,0,278,78,199,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],47:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],48:[666,22,500,39,460,"96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597"],49:[666,0,500,83,427,"213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578"],50:[666,0,500,50,449,"109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429"],51:[665,22,500,42,457,"127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463"],52:[677,0,500,28,471,"462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293"],53:[666,22,500,50,449,"164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157"],54:[666,22,500,41,456,"42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397"],55:[676,22,500,55,485,"55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458"],56:[666,22,500,43,457,"70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21"],57:[666,22,500,42,456,"352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248"],58:[430,0,278,78,199,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],59:[430,194,278,78,202,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 85 94 103T137 121Q202 121 202 8Q202 -44 183 -94T144 -169T118 -194Q115 -194 106 -186T95 -174Q94 -171 107 -155T137 -107T160 -38Q161 -32 162 -22T165 -4T165 4Q165 5 161 4T142 0Q110 0 94 18T78 60"],60:[540,40,778,83,695,"694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19"],61:[367,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153"],62:[540,40,778,82,694,"84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520"],91:[750,250,278,118,255,"118 -250V750H255V710H158V-210H255V-250H118"],92:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],93:[750,250,278,22,159,"22 710V750H159V-250H22V-210H119V710H22"],94:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],97:[448,11,500,34,493,"137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106"],98:[695,11,556,20,522,"307 -11Q234 -11 168 55L158 37Q156 34 153 28T147 17T143 10L138 1L118 0H98V298Q98 599 97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V543Q179 391 180 391L183 394Q186 397 192 401T207 411T228 421T254 431T286 439T323 442Q401 442 461 379T522 216Q522 115 458 52T307 -11ZM182 98Q182 97 187 90T196 79T206 67T218 55T233 44T250 35T271 29T295 26Q330 26 363 46T412 113Q424 148 424 212Q424 287 412 323Q385 405 300 405Q270 405 239 390T188 347L182 339V98"],99:[448,12,444,34,415,"370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320"],100:[695,11,556,34,535,"376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342"],101:[448,11,444,28,415,"28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275"],102:[705,0,306,26,372,"273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273"],103:[453,206,500,29,485,"329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75"],104:[695,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],105:[669,0,278,26,255,"69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247"],106:[669,205,306,-55,218,"98 609Q98 637 116 653T160 669Q183 667 200 652T217 609Q217 579 200 564T158 549Q133 549 116 564T98 609ZM28 -163Q58 -168 64 -168Q124 -168 135 -77Q137 -65 137 141T136 353Q132 371 120 377T72 385H52V408Q52 431 54 431L58 432Q62 432 70 432T87 433T108 434T133 436Q151 437 171 438T202 441T214 442H218V184Q217 -36 217 -59T211 -98Q195 -145 153 -175T58 -205Q9 -205 -23 -179T-55 -117Q-55 -94 -40 -79T-2 -64T36 -79T52 -118Q52 -143 28 -163"],107:[695,0,528,20,511,"36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36"],108:[695,0,278,26,263,"42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42"],109:[443,0,833,25,819,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],110:[443,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],111:[448,10,500,28,471,"28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30"],112:[443,194,556,20,522,"36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218"],113:[442,194,528,33,535,"33 218Q33 308 95 374T236 441H246Q330 441 381 372L387 364Q388 364 404 403L420 442H457V156Q457 -132 458 -134Q462 -142 470 -145Q491 -148 519 -148H535V-194H527L504 -193Q480 -192 453 -192T415 -191Q312 -191 303 -194H295V-148H311Q339 -148 360 -145Q369 -141 371 -135T373 -106V-41V49Q313 -11 236 -11Q154 -11 94 53T33 218ZM376 300Q346 389 278 401Q275 401 269 401T261 402Q211 400 171 350T131 214Q131 137 165 82T253 27Q296 27 328 54T376 118V300"],114:[443,0,392,20,364,"36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36"],115:[448,11,394,33,359,"295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316"],116:[615,10,389,18,333,"27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27"],117:[443,11,556,25,542,"383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58"],118:[431,11,528,19,508,"338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338"],119:[431,11,722,18,703,"90 368Q84 378 76 380T40 385H18V431H24L43 430Q62 430 84 429T116 428Q206 428 221 431H229V385H215Q177 383 177 368Q177 367 221 239L265 113L339 328L333 345Q323 374 316 379Q308 384 278 385H258V431H264Q270 428 348 428Q439 428 454 431H461V385H452Q404 385 404 369Q404 366 418 324T449 234T481 143L496 100L537 219Q579 341 579 347Q579 363 564 373T530 385H522V431H529Q541 428 624 428Q692 428 698 431H703V385H697Q696 385 691 385T682 384Q635 377 619 334L559 161Q546 124 528 71Q508 12 503 1T487 -11H479Q460 -11 456 -4Q455 -3 407 133L361 267Q359 263 266 -4Q261 -11 243 -11H238Q225 -11 220 -3L90 368"],120:[431,0,528,11,516,"201 0Q189 3 102 3Q26 3 17 0H11V46H25Q48 47 67 52T96 61T121 78T139 96T160 122T180 150L226 210L168 288Q159 301 149 315T133 336T122 351T113 363T107 370T100 376T94 379T88 381T80 383Q74 383 44 385H16V431H23Q59 429 126 429Q219 429 229 431H237V385Q201 381 201 369Q201 367 211 353T239 315T268 274L272 270L297 304Q329 345 329 358Q329 364 327 369T322 376T317 380T310 384L307 385H302V431H309Q324 428 408 428Q487 428 493 431H499V385H492Q443 385 411 368Q394 360 377 341T312 257L296 236L358 151Q424 61 429 57T446 50Q464 46 499 46H516V0H510H502Q494 1 482 1T457 2T432 2T414 3Q403 3 377 3T327 1L304 0H295V46H298Q309 46 320 51T331 63Q331 65 291 120L250 175Q249 174 219 133T185 88Q181 83 181 74Q181 63 188 55T206 46Q208 46 208 23V0H201"],121:[431,204,528,19,508,"69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66"],122:[431,0,444,28,401,"42 263Q44 270 48 345T53 423V431H393Q399 425 399 415Q399 403 398 402L381 378Q364 355 331 309T265 220L134 41L182 40H206Q254 40 283 46T331 77Q352 105 359 185L361 201Q361 202 381 202H401V196Q401 195 393 103T384 6V0H209L34 1L31 3Q28 8 28 17Q28 30 29 31T160 210T294 394H236Q169 393 152 388Q127 382 113 367Q89 344 82 264V255H42V263"],123:[750,250,500,65,434,"434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231"],124:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],125:[750,250,500,65,434,"65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731"],168:[669,-554,500,95,405,"95 612Q95 633 112 651T153 669T193 652T210 612Q210 588 194 571T152 554L127 560Q95 577 95 612ZM289 611Q289 634 304 649T335 668Q336 668 340 668T346 669Q369 669 386 652T404 612T387 572T346 554Q323 554 306 570T289 611"],172:[356,-89,667,56,611,"56 323T56 336T70 356H596Q603 353 611 343V102Q598 89 591 89Q587 89 584 90T579 94T575 98T572 102L571 209V316H70Q56 323 56 336"],175:[590,-544,500,69,430,"69 544V590H430V544H69"],176:[715,-542,500,147,352,"147 628Q147 669 179 692T244 715Q298 715 325 689T352 629Q352 592 323 567T249 542Q202 542 175 567T147 628ZM313 628Q313 660 300 669T259 678H253Q248 678 242 678T234 679Q217 679 207 674T192 659T188 644T187 629Q187 600 198 590Q210 579 250 579H265Q279 579 288 581T305 595T313 628"],177:[666,0,778,56,722,"56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333"],180:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],215:[491,-9,778,147,630,"630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29"],247:[537,36,778,56,721,"318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34"],710:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],711:[644,-513,500,114,385,"114 611L127 630L136 644Q138 644 193 612Q248 581 250 581L306 612Q361 644 363 644L385 611L318 562L249 513L114 611"],713:[590,-544,500,69,430,"69 544V590H430V544H69"],714:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],715:[699,-505,500,106,296,"106 655Q106 671 119 685T150 699Q166 699 177 688Q190 671 222 629T275 561T295 533T282 519L267 505L196 563Q119 626 113 634Q106 643 106 655"],728:[694,-515,500,92,407,"250 515Q179 515 138 565T92 683V694H129V689Q129 688 129 683T130 675Q137 631 169 599T248 567Q304 567 337 608T370 689V694H407V683Q403 617 361 566T250 515"],729:[669,-549,500,190,309,"190 609Q190 637 208 653T252 669Q275 667 292 652T309 609Q309 579 292 564T250 549Q225 549 208 564T190 609"],732:[668,-565,500,83,416,"179 601Q164 601 151 595T131 584T111 565L97 577L83 588Q83 589 95 603T121 633T142 654Q165 668 187 668T253 650T320 632Q335 632 348 638T368 649T388 668L402 656L416 645Q375 586 344 572Q330 565 313 565Q292 565 248 583T179 601"],8211:[285,-248,500,0,499,"0 248V285H499V248H0"],8212:[285,-248,1000,0,999,"0 248V285H999V248H0"],8216:[694,-379,278,64,199,"64 494Q64 548 86 597T131 670T160 694Q163 694 172 685T182 672Q182 669 170 656T144 625T116 573T101 501Q101 489 102 489T107 491T120 497T138 500Q163 500 180 483T198 440T181 397T139 379Q110 379 87 405T64 494"],8217:[694,-379,278,78,212,"78 634Q78 659 95 676T138 694Q166 694 189 668T212 579Q212 525 190 476T146 403T118 379Q114 379 105 388T95 401Q95 404 107 417T133 448T161 500T176 572Q176 584 175 584T170 581T157 576T139 573Q114 573 96 590T78 634"],8220:[694,-379,500,128,466,"128 494Q128 528 137 560T158 616T185 658T209 685T223 694T236 685T245 670Q244 668 231 654T204 622T178 571T164 501Q164 489 165 489T170 491T183 497T201 500Q226 500 244 483T262 440T245 397T202 379Q173 379 151 405T128 494ZM332 494Q332 528 341 560T362 616T389 658T413 685T427 694T439 685T449 672Q449 669 437 656T411 625T383 573T368 501Q368 489 369 489T374 491T387 497T405 500Q430 500 448 483T466 440T449 397T406 379Q377 379 355 405T332 494"],8221:[694,-379,500,34,372,"34 634Q34 659 50 676T93 694Q121 694 144 668T168 579Q168 525 146 476T101 403T73 379Q69 379 60 388T50 401Q50 404 62 417T88 448T116 500T131 572Q131 584 130 584T125 581T112 576T94 573Q69 573 52 590T34 634ZM238 634Q238 659 254 676T297 694Q325 694 348 668T372 579Q372 525 350 476T305 403T277 379Q273 379 264 388T254 401Q254 404 266 417T292 448T320 500T335 572Q335 584 334 584T329 581T316 576T298 573Q273 573 256 590T238 634"],8224:[705,216,444,54,389,"182 675Q195 705 222 705Q234 705 243 700T253 691T263 675L262 655Q262 620 252 549T240 454V449Q250 451 288 461T346 472T377 461T389 431Q389 417 379 404T346 390Q327 390 288 401T243 412H240V405Q245 367 250 339T258 301T261 274T263 225Q263 124 255 -41T239 -213Q236 -216 222 -216H217Q206 -216 204 -212T200 -186Q199 -175 199 -168Q181 38 181 225Q181 265 182 280T191 327T204 405V412H201Q196 412 157 401T98 390Q76 390 66 403T55 431T65 458T98 472Q116 472 155 462T205 449Q204 452 204 460T201 490T193 547Q182 619 182 655V675"],8225:[705,205,444,54,389,"181 658Q181 705 222 705T263 658Q263 633 252 572T240 497Q240 496 241 496Q243 496 285 507T345 519Q365 519 376 508T388 478Q388 466 384 458T375 447T361 438H344Q318 438 282 448T241 459Q240 458 240 456Q240 449 251 384T263 297Q263 278 255 267T238 253T222 250T206 252T190 266T181 297Q181 323 192 383T204 458Q204 459 203 459Q198 459 162 449T101 438H84Q74 443 70 446T61 457T56 478Q56 497 67 508T99 519Q117 519 159 508T203 496Q204 496 204 499Q204 507 193 572T181 658ZM181 202Q181 249 222 249T263 202Q263 185 259 161T249 103T240 48V41H243Q248 41 287 52T346 63T377 52T389 22Q389 8 379 -5T346 -19Q327 -19 288 -8T243 3H240V-4Q243 -24 249 -58T259 -117T263 -158Q263 -177 255 -188T238 -202T222 -205T206 -203T190 -189T181 -158Q181 -141 185 -117T195 -59T204 -4V3H201Q196 3 157 -8T98 -19Q76 -19 66 -6T55 22T65 49T98 63Q117 63 156 52T201 41H204V48Q201 68 195 102T185 161T181 202"],8230:[120,0,1172,78,1093,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60"],8242:[560,-43,275,30,262,"79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43"],8407:[714,-516,0,-471,-29,"-123 694Q-123 702 -118 708T-103 714Q-93 714 -88 706T-80 687T-67 660T-40 633Q-29 626 -29 615Q-29 606 -36 600T-53 590T-83 571T-121 531Q-135 516 -143 516T-157 522T-163 536T-152 559T-129 584T-116 595H-287L-458 596Q-459 597 -461 599T-466 602T-469 607T-471 615Q-471 622 -458 635H-99Q-123 673 -123 694"],8592:[511,11,1000,55,944,"944 261T944 250T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H929Q944 261 944 250"],8593:[694,193,500,17,483,"27 414Q17 414 17 433Q17 437 17 439T17 444T19 447T20 450T22 452T26 453T30 454T36 456Q80 467 120 494T180 549Q227 607 238 678Q240 694 251 694Q259 694 261 684Q261 677 265 659T284 608T320 549Q340 525 363 507T405 479T440 463T467 455T479 451Q483 447 483 433Q483 413 472 413Q467 413 458 416Q342 448 277 545L270 555V-179Q262 -193 252 -193H250H248Q236 -193 230 -179V555L223 545Q192 499 146 467T70 424T27 414"],8594:[511,11,1000,56,944,"56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250"],8595:[694,194,500,17,483,"473 86Q483 86 483 67Q483 63 483 61T483 56T481 53T480 50T478 48T474 47T470 46T464 44Q428 35 391 14T316 -55T264 -168Q264 -170 263 -173T262 -180T261 -184Q259 -194 251 -194Q242 -194 238 -176T221 -121T180 -49Q169 -34 155 -21T125 2T95 20T67 33T44 42T27 47L21 49Q17 53 17 67Q17 87 28 87Q33 87 42 84Q158 52 223 -45L230 -55V312Q230 391 230 482T229 591Q229 662 231 676T243 693Q244 694 251 694Q264 692 270 679V-55L277 -45Q307 1 353 33T430 76T473 86"],8596:[511,11,1000,55,944,"263 479Q267 501 271 506T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H835Q729 349 696 475Q691 493 691 500Q691 511 711 511Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q144 292 194 349T263 479"],8597:[772,272,500,17,483,"27 492Q17 492 17 511Q17 515 17 517T17 522T19 525T20 528T22 530T26 531T30 532T36 534Q80 545 120 572T180 627Q210 664 223 701T238 755T250 772T261 762Q261 757 264 741T282 691T319 628Q352 589 390 566T454 536L479 529Q483 525 483 511Q483 491 472 491Q467 491 458 494Q342 526 277 623L270 633V-133L277 -123Q307 -77 353 -45T430 -2T473 8Q483 8 483 -11Q483 -15 483 -17T483 -22T481 -25T480 -28T478 -30T474 -31T470 -32T464 -34Q407 -49 364 -84T300 -157T270 -223T261 -262Q259 -272 250 -272Q242 -272 239 -255T223 -201T180 -127Q169 -112 155 -99T125 -76T95 -58T67 -45T44 -36T27 -31L21 -29Q17 -25 17 -11Q17 9 28 9Q33 9 42 6Q158 -26 223 -123L230 -133V633L223 623Q192 577 146 545T70 502T27 492"],8598:[720,195,1000,29,944,"204 662Q257 662 301 676T369 705T394 720Q398 720 407 711T417 697Q417 688 389 671T310 639T212 623Q176 623 153 628Q151 628 221 557T546 232Q942 -164 943 -168Q944 -170 944 -174Q944 -182 938 -188T924 -195Q922 -195 916 -193Q912 -191 517 204Q440 281 326 394T166 553L121 598Q126 589 126 541Q126 438 70 349Q59 332 52 332Q48 332 39 341T29 355Q29 358 38 372T57 407T77 464T86 545Q86 583 78 614T63 663T55 683Q55 693 65 693Q73 693 82 688Q136 662 204 662"],8599:[720,195,1000,55,971,"582 697Q582 701 591 710T605 720Q607 720 630 706T697 677T795 662Q830 662 863 670T914 686T934 694Q942 694 944 685Q944 680 936 663T921 615T913 545Q913 490 927 446T956 379T970 355Q970 351 961 342T947 332Q940 332 929 349Q874 436 874 541Q874 590 878 598L832 553Q787 508 673 395T482 204Q87 -191 83 -193Q77 -195 75 -195Q67 -195 61 -189T55 -174Q55 -170 56 -168Q58 -164 453 232Q707 487 777 557T847 628Q824 623 787 623Q689 623 599 679Q582 690 582 697"],8600:[695,220,1000,55,970,"55 675Q55 683 60 689T75 695Q77 695 83 693Q87 691 482 296Q532 246 605 174T717 62T799 -20T859 -80T878 -97Q874 -93 874 -41Q874 64 929 151Q940 168 947 168Q951 168 960 159T970 145Q970 143 956 121T928 54T913 -45Q913 -83 920 -114T936 -163T944 -185Q942 -194 934 -194Q932 -194 914 -186T864 -170T795 -162Q743 -162 698 -176T630 -205T605 -220Q601 -220 592 -211T582 -197Q582 -187 611 -170T691 -138T787 -123Q824 -123 847 -128Q848 -128 778 -57T453 268Q58 664 56 668Q55 670 55 675"],8601:[695,220,1000,29,944,"126 -41Q126 -92 121 -97Q121 -98 139 -80T200 -20T281 61T394 173T517 296Q909 690 916 693Q922 695 924 695Q932 695 938 689T944 674Q944 670 943 668Q942 664 546 268Q292 13 222 -57T153 -128Q176 -123 212 -123Q310 -123 400 -179Q417 -190 417 -197Q417 -201 408 -210T394 -220Q392 -220 369 -206T302 -177T204 -162Q131 -162 67 -194Q63 -195 59 -192T55 -183Q55 -180 62 -163T78 -115T86 -45Q86 10 72 54T44 120T29 145Q29 149 38 158T52 168Q59 168 70 151Q126 62 126 -41"],8614:[511,11,1000,54,944,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H95V155"],8617:[511,11,1126,55,1070,"903 424T903 444T929 464Q976 464 1023 434T1070 347Q1070 316 1055 292T1016 256T971 237T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H926Q929 270 941 271T960 275T978 280T998 290T1015 307Q1030 325 1030 347Q1030 355 1027 364T1014 387T983 411T929 424H928Q903 424 903 444"],8618:[511,11,1126,55,1070,"55 347Q55 380 72 404T113 441T159 458T197 464Q222 464 222 444Q222 429 204 426T157 417T110 387Q95 369 95 347Q95 339 98 330T111 307T142 283T196 270H961Q845 357 818 493Q818 494 818 496T817 499Q817 511 834 511H837Q846 511 849 510T855 506T858 497T861 481T869 456Q891 389 942 336T1061 261Q1070 258 1070 250Q1070 244 1065 241T1041 231T1003 212Q962 186 932 152T887 85T866 35T858 4Q856 -6 853 -8T837 -11Q817 -11 817 0Q817 7 822 25Q854 151 961 230H196Q149 230 102 260T55 347"],8636:[511,-230,1000,55,944,"62 230Q56 236 55 244Q55 252 57 255T69 265Q114 292 151 326T208 391T243 448T265 491T273 509Q276 511 288 511Q304 511 306 505Q309 501 303 484Q293 456 279 430T251 383T223 344T196 313T173 291T156 276L148 270H929Q944 261 944 250T929 230H62"],8637:[270,11,1000,55,944,"55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8640:[511,-230,1000,56,945,"691 500Q691 511 711 511Q720 511 723 510T730 504T735 490T746 464T768 425Q796 378 835 339T897 285T933 263Q941 258 942 256T944 245T937 230H70Q56 237 56 250T70 270H852Q802 308 762 364T707 455T691 500"],8641:[270,11,1000,56,944,"56 237T56 250T70 270H937Q944 263 944 256Q944 251 944 250T943 246T940 242T933 238Q794 153 734 7Q729 -7 726 -9T711 -11Q695 -11 693 -5Q690 -1 696 16Q721 84 763 139T852 230H70Q56 237 56 250"],8652:[671,11,1000,55,945,"691 660Q691 671 711 671Q720 671 723 670T730 664T735 650T746 624T768 585Q797 538 836 499T897 445T933 423Q941 418 942 416T944 405T937 390H70Q56 397 56 410T70 430H852Q802 468 762 524T707 615T691 660ZM55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8656:[525,24,1000,56,945,"944 153Q944 140 929 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H929Q944 359 944 347Q944 336 930 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173H930Q931 172 933 171T936 169T938 167T941 164T942 162T943 158T944 153"],8657:[694,194,611,31,579,"228 -179Q227 -180 226 -182T223 -186T221 -189T218 -192T214 -193T208 -194Q196 -194 189 -181L188 125V430L176 419Q122 369 59 338Q46 330 40 330Q38 330 31 337V350Q31 362 33 365T46 374Q60 381 77 390T128 426T190 484T247 567T292 677Q295 688 298 692Q302 694 305 694Q313 694 318 677Q334 619 363 568T420 485T481 427T532 391T564 374Q575 368 577 365T579 350V337Q572 330 570 330Q564 330 551 338Q487 370 435 419L423 430L422 125V-181Q409 -194 401 -194Q397 -194 394 -193T388 -189T385 -184T382 -180V-177V475L373 487Q331 541 305 602Q304 601 300 591T290 571T278 548T260 519T238 488L229 476L228 148V-179"],8658:[525,24,1000,56,944,"580 514Q580 525 596 525Q601 525 604 525T609 525T613 524T615 523T617 520T619 517T622 512Q659 438 720 381T831 300T927 263Q944 258 944 250T935 239T898 228T840 204Q696 134 622 -12Q618 -21 615 -22T600 -24Q580 -24 580 -17Q580 -13 585 0Q620 69 671 123L681 133H70Q56 140 56 153Q56 168 72 173H725L735 181Q774 211 852 250Q851 251 834 259T789 283T735 319L725 327H72Q56 332 56 347Q56 360 70 367H681L671 377Q638 412 609 458T580 514"],8659:[694,194,611,31,579,"401 694Q412 694 422 681V375L423 70L435 81Q487 130 551 162Q564 170 570 170Q572 170 579 163V150Q579 138 577 135T564 126Q541 114 518 99T453 48T374 -46T318 -177Q313 -194 305 -194T293 -178T272 -119T225 -31Q158 70 46 126Q35 132 33 135T31 150V163Q38 170 40 170Q46 170 59 162Q122 131 176 81L188 70V375L189 681Q199 694 208 694Q219 694 228 680V352L229 25L238 12Q279 -42 305 -102Q344 -23 373 13L382 25V678Q387 692 401 694"],8660:[526,25,1000,33,966,"308 524Q318 526 323 526Q340 526 340 514Q340 507 336 499Q326 476 314 454T292 417T274 391T260 374L255 368Q255 367 500 367Q744 367 744 368L739 374Q734 379 726 390T707 416T685 453T663 499Q658 511 658 515Q658 525 680 525Q687 524 690 523T695 519T701 507Q766 359 902 287Q921 276 939 269T961 259T966 250Q966 246 965 244T960 240T949 236T930 228T902 213Q763 137 701 -7Q697 -16 695 -19T690 -23T680 -25Q658 -25 658 -15Q658 -11 663 1Q673 24 685 46T707 83T725 109T739 126L744 132Q744 133 500 133Q255 133 255 132L260 126Q265 121 273 110T292 84T314 47T336 1Q341 -11 341 -15Q341 -25 319 -25Q312 -24 309 -23T304 -19T298 -7Q233 141 97 213Q83 221 70 227T51 235T41 239T35 243T34 250T35 256T40 261T51 265T70 273T97 287Q235 363 299 509Q305 522 308 524ZM792 319L783 327H216Q183 294 120 256L110 250L120 244Q173 212 207 181L216 173H783L792 181Q826 212 879 244L889 250L879 256Q826 288 792 319"],8661:[772,272,611,31,579,"290 755Q298 772 305 772T318 757T343 706T393 633Q431 588 473 558T545 515T579 497V484Q579 464 570 464Q564 464 550 470Q485 497 423 550L422 400V100L423 -50Q485 3 550 30Q565 36 570 36Q579 36 579 16V3Q575 -1 549 -12T480 -53T393 -132Q361 -172 342 -208T318 -258T305 -272T293 -258T268 -208T217 -132Q170 -80 128 -51T61 -12T31 3V16Q31 36 40 36Q46 36 61 30Q86 19 109 6T146 -18T173 -38T188 -50V550Q186 549 173 539T147 519T110 495T61 470Q46 464 40 464Q31 464 31 484V497Q34 500 63 513T135 557T217 633Q267 692 290 755ZM374 598Q363 610 351 625T332 651T316 676T305 695L294 676Q282 657 267 636T236 598L228 589V-89L236 -98Q247 -110 259 -125T278 -151T294 -176T305 -195L316 -176Q328 -157 343 -136T374 -98L382 -89V589L374 598"],8704:[694,22,556,0,556,"0 673Q0 684 7 689T20 694Q32 694 38 680T82 567L126 451H430L473 566Q483 593 494 622T512 668T519 685Q524 694 538 694Q556 692 556 674Q556 670 426 329T293 -15Q288 -22 278 -22T263 -15Q260 -11 131 328T0 673ZM414 410Q414 411 278 411T142 410L278 55L414 410"],8706:[715,22,531,42,567,"202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306"],8707:[694,0,556,56,500,"56 661T56 674T70 694H487Q497 686 500 679V15Q497 10 487 1L279 0H70Q56 7 56 20T70 40H460V327H84Q70 334 70 347T84 367H460V654H70Q56 661 56 674"],8709:[772,78,500,39,460,"331 696Q335 708 339 722T345 744T350 759T357 769T367 772Q374 772 381 767T388 754Q388 746 377 712L366 673L378 661Q460 575 460 344Q460 281 456 234T432 126T373 27Q319 -22 250 -22Q214 -22 180 -7Q168 -3 168 -4L159 -33Q148 -71 142 -75Q138 -78 132 -78Q124 -78 118 -72T111 -60Q111 -52 122 -18L133 21L125 29Q39 111 39 344Q39 596 137 675Q187 716 251 716Q265 716 278 714T296 710T315 703T331 696ZM276 676Q264 679 246 679Q196 679 159 631Q134 597 128 536T121 356Q121 234 127 174T151 80L234 366Q253 430 275 506T308 618L318 654Q318 656 294 669L276 676ZM181 42Q207 16 250 16Q291 16 324 47Q354 78 366 136T378 356Q378 470 372 528T349 616L348 613Q348 611 264 326L181 42"],8711:[683,33,833,46,786,"46 676Q46 679 51 683H781Q786 679 786 676Q786 674 617 326T444 -26Q439 -33 416 -33T388 -26Q385 -22 216 326T46 676ZM697 596Q697 597 445 597T193 596Q195 591 319 336T445 80L697 596"],8712:[541,41,667,84,583,"84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250"],8713:[716,215,667,84,584,"196 25Q84 109 84 250Q84 372 166 450T360 539Q361 539 375 539T413 540T460 540L547 707Q550 716 563 716Q570 716 575 712T581 703T583 696T505 540H568Q583 532 583 520Q583 511 570 501L484 500L366 270H568Q583 262 583 250T568 230H346L247 38Q284 16 328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 447 -40T419 -41Q304 -41 228 3Q117 -211 115 -212Q111 -215 104 -215T92 -212T86 -204T84 -197Q84 -190 89 -183L196 25ZM214 61L301 230H124V228Q124 196 147 147T214 61ZM321 270L440 500Q353 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H321"],8715:[541,40,667,83,582,"83 520Q83 532 98 540H195Q202 540 220 540T249 541Q404 541 494 455Q582 374 582 250Q582 165 539 99T434 0T304 -39Q297 -40 195 -40H98Q83 -32 83 -20Q83 -10 96 0H200Q311 1 337 6Q369 14 401 28Q422 39 445 55Q484 85 508 127T537 191T542 228V230H98Q84 237 84 250T98 270H542V272Q542 280 539 295T527 336T497 391T445 445Q422 461 401 472Q386 479 374 483T347 491T325 495T298 498T273 499T239 500T200 500L96 501Q83 511 83 520"],8722:[270,-230,778,84,694,"84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250"],8723:[500,166,778,56,722,"56 467T56 480T70 500H707Q722 492 722 480T707 460H409V187H707Q722 179 722 167Q722 154 707 147H409V0V-93Q409 -144 406 -155T389 -166Q376 -166 372 -155T368 -105Q368 -96 368 -62T369 -2V147H70Q56 154 56 167T70 187H369V460H70Q56 467 56 480"],8725:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],8726:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],8727:[465,-35,500,64,435,"229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286"],8728:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251ZM245 403Q188 403 142 361T96 250Q96 183 141 140T250 96Q284 96 313 109T354 135T375 160Q403 197 403 250Q403 313 360 358T245 403"],8729:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251"],8730:[800,200,833,71,853,"95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178"],8733:[442,11,778,56,722,"56 124T56 216T107 375T238 442Q260 442 280 438T319 425T352 407T382 385T406 361T427 336T442 315T455 297T462 285L469 297Q555 442 679 442Q687 442 722 437V398H718Q710 400 694 400Q657 400 623 383T567 343T527 294T503 253T495 235Q495 231 520 192T554 143Q625 44 696 44Q717 44 719 46H722V-5Q695 -11 678 -11Q552 -11 457 141Q455 145 454 146L447 134Q362 -11 235 -11Q157 -11 107 56ZM93 213Q93 143 126 87T220 31Q258 31 292 48T349 88T389 137T413 178T421 196Q421 200 396 239T362 288Q322 345 288 366T213 387Q163 387 128 337T93 213"],8734:[442,11,1000,55,944,"55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214"],8736:[694,0,722,55,666,"71 0L68 2Q65 3 63 5T58 11T55 20Q55 22 57 28Q67 43 346 361Q397 420 474 508Q595 648 616 671T647 694T661 688T666 674Q666 668 663 663Q662 662 627 622T524 503T390 350L120 41L386 40H653Q666 30 666 20Q666 8 651 0H71"],8739:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],8741:[750,250,500,132,368,"133 736Q138 750 153 750Q164 750 170 739Q172 735 172 250T170 -239Q164 -250 152 -250Q144 -250 138 -244L137 -243Q133 -241 133 -179T132 250Q132 731 133 736ZM329 739Q334 750 346 750Q353 750 361 744L362 743Q366 741 366 679T367 250T367 -178T362 -243L361 -244Q355 -250 347 -250Q335 -250 329 -239Q327 -235 327 250T329 739"],8743:[598,22,667,55,611,"318 591Q325 598 333 598Q344 598 348 591Q349 590 414 445T545 151T611 -4Q609 -22 591 -22Q588 -22 586 -21T581 -20T577 -17T575 -13T572 -9T570 -4L333 528L96 -4Q87 -20 80 -21Q78 -22 75 -22Q57 -22 55 -4Q55 2 120 150T251 444T318 591"],8744:[598,22,667,55,611,"55 580Q56 587 61 592T75 598Q86 598 96 580L333 48L570 580Q579 596 586 597Q588 598 591 598Q609 598 611 580Q611 574 546 426T415 132T348 -15Q343 -22 333 -22T318 -15Q317 -14 252 131T121 425T55 580"],8745:[598,22,667,55,611,"88 -21T75 -21T55 -7V200Q55 231 55 280Q56 414 60 428Q61 430 61 431Q77 500 152 549T332 598Q443 598 522 544T610 405Q611 399 611 194V-7Q604 -22 591 -22Q582 -22 572 -9L570 405Q563 433 556 449T529 485Q498 519 445 538T334 558Q251 558 179 518T96 401Q95 396 95 193V-7Q88 -21 75 -21"],8746:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598"],8747:[716,216,417,55,472,"151 -112Q151 -150 106 -161Q106 -165 114 -172T134 -179Q155 -179 170 -146Q181 -120 188 -64T206 101T232 310Q256 472 277 567Q308 716 392 716Q434 716 453 681T472 613Q472 590 458 577T424 564Q404 564 390 578T376 612Q376 650 421 661Q421 663 418 667T407 675T393 679Q387 679 380 675Q360 665 350 619T326 438Q302 190 253 -57Q235 -147 201 -186Q174 -213 138 -216Q93 -216 74 -181T55 -113Q55 -91 69 -78T103 -64Q123 -64 137 -78T151 -112"],8764:[367,-133,778,55,722,"55 166Q55 241 101 304T222 367Q260 367 296 349T362 304T421 252T484 208T554 189Q616 189 655 236T694 338Q694 350 698 358T708 367Q722 367 722 334Q722 260 677 197T562 134H554Q517 134 481 152T414 196T355 248T292 293T223 311Q179 311 145 286Q109 257 96 218T80 156T69 133Q55 133 55 166"],8768:[583,83,278,55,222,"55 569Q55 583 83 583Q122 583 151 565T194 519T215 464T222 411Q222 360 194 304T139 193T111 89Q111 38 134 -7T195 -55Q222 -57 222 -69Q222 -83 189 -83Q130 -83 93 -33T55 90Q55 130 72 174T110 252T148 328T166 411Q166 462 144 507T83 555Q55 556 55 569"],8771:[464,-36,778,55,722,"55 283Q55 356 103 409T217 463Q262 463 297 447T395 382Q431 355 446 344T493 320T554 307H558Q613 307 652 344T694 433Q694 464 708 464T722 432Q722 356 673 304T564 251H554Q510 251 465 275T387 329T310 382T223 407H219Q164 407 122 367Q91 333 85 295T76 253T69 250Q55 250 55 283ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8773:[589,-22,1000,55,722,"55 388Q55 463 101 526T222 589Q260 589 296 571T362 526T421 474T484 430T554 411Q616 411 655 458T694 560Q694 572 698 580T708 589Q722 589 722 556Q722 482 677 419T562 356H554Q517 356 481 374T414 418T355 471T292 515T223 533Q179 533 145 508Q109 479 96 440T80 378T69 355Q55 355 55 388ZM56 236Q56 249 70 256H707Q722 248 722 236Q722 225 708 217L390 216H72Q56 221 56 236ZM56 42Q56 57 72 62H708Q722 52 722 42Q722 30 707 22H70Q56 29 56 42"],8776:[483,-55,778,55,722,"55 319Q55 360 72 393T114 444T163 472T205 482Q207 482 213 482T223 483Q262 483 296 468T393 413L443 381Q502 346 553 346Q609 346 649 375T694 454Q694 465 698 474T708 483Q722 483 722 452Q722 386 675 338T555 289Q514 289 468 310T388 357T308 404T224 426Q164 426 125 393T83 318Q81 289 69 289Q55 289 55 319ZM55 85Q55 126 72 159T114 210T163 238T205 248Q207 248 213 248T223 249Q262 249 296 234T393 179L443 147Q502 112 553 112Q609 112 649 141T694 220Q694 249 708 249T722 217Q722 153 675 104T555 55Q514 55 468 76T388 123T308 170T224 192Q164 192 125 159T83 84Q80 55 69 55Q55 55 55 85"],8781:[484,-16,778,55,722,"55 464Q55 471 60 477T74 484Q80 484 108 464T172 420T268 376T389 356Q436 356 483 368T566 399T630 436T675 467T695 482Q701 484 703 484Q711 484 716 478T722 464Q722 454 707 442Q550 316 389 316Q338 316 286 329T195 362T124 402T76 437T57 456Q55 462 55 464ZM57 45Q66 58 109 88T230 151T381 183Q438 183 494 168T587 135T658 94T703 61T720 45Q722 39 722 36Q722 28 717 22T703 16Q697 16 669 36T606 80T510 124T389 144Q341 144 294 132T211 101T147 64T102 33T82 18Q76 16 74 16Q66 16 61 22T55 36Q55 39 57 45"],8784:[670,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153ZM329 610Q329 634 346 652T389 670Q413 670 431 654T450 611Q450 586 433 568T390 550T347 567T329 610"],8800:[716,215,778,56,722,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215"],8801:[464,-36,778,56,722,"56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8804:[636,138,778,83,694,"674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8805:[636,138,778,82,694,"83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8810:[568,67,1000,56,944,"639 -48Q639 -54 634 -60T619 -67H618Q612 -67 536 -26Q430 33 329 88Q61 235 59 239Q56 243 56 250T59 261Q62 266 336 415T615 567L619 568Q622 567 625 567Q639 562 639 548Q639 540 633 534Q632 532 374 391L117 250L374 109Q632 -32 633 -34Q639 -40 639 -48ZM944 -48Q944 -54 939 -60T924 -67H923Q917 -67 841 -26Q735 33 634 88Q366 235 364 239Q361 243 361 250T364 261Q367 266 641 415T920 567L924 568Q927 567 930 567Q944 562 944 548Q944 540 938 534Q937 532 679 391L422 250L679 109Q937 -32 938 -34Q944 -40 944 -48"],8811:[567,67,1000,55,944,"55 539T55 547T60 561T74 567Q81 567 207 498Q297 449 365 412Q633 265 636 261Q639 255 639 250Q639 241 626 232Q614 224 365 88Q83 -65 79 -66Q76 -67 73 -67Q65 -67 60 -61T55 -47Q55 -39 61 -33Q62 -33 95 -15T193 39T320 109L321 110H322L323 111H324L325 112L326 113H327L329 114H330L331 115H332L333 116L334 117H335L336 118H337L338 119H339L340 120L341 121H342L343 122H344L345 123H346L347 124L348 125H349L351 126H352L353 127H354L355 128L356 129H357L358 130H359L360 131H361L362 132L363 133H364L365 134H366L367 135H368L369 136H370L371 137L372 138H373L374 139H375L376 140L378 141L576 251Q63 530 62 533Q55 539 55 547ZM360 539T360 547T365 561T379 567Q386 567 512 498Q602 449 670 412Q938 265 941 261Q944 255 944 250Q944 241 931 232Q919 224 670 88Q388 -65 384 -66Q381 -67 378 -67Q370 -67 365 -61T360 -47Q360 -39 366 -33Q367 -33 400 -15T498 39T625 109L626 110H627L628 111H629L630 112L631 113H632L634 114H635L636 115H637L638 116L639 117H640L641 118H642L643 119H644L645 120L646 121H647L648 122H649L650 123H651L652 124L653 125H654L656 126H657L658 127H659L660 128L661 129H662L663 130H664L665 131H666L667 132L668 133H669L670 134H671L672 135H673L674 136H675L676 137L677 138H678L679 139H680L681 140L683 141L881 251Q368 530 367 533Q360 539 360 547"],8826:[539,41,778,84,694,"84 249Q84 262 91 266T117 270Q120 270 126 270T137 269Q388 273 512 333T653 512Q657 539 676 539Q685 538 689 532T694 520V515Q689 469 672 431T626 366T569 320T500 286T435 265T373 249Q379 248 404 242T440 233T477 221T533 199Q681 124 694 -17Q694 -41 674 -41Q658 -41 653 -17Q646 41 613 84T533 154T418 197T284 220T137 229H114Q104 229 98 230T88 235T84 249"],8827:[539,41,778,83,694,"84 517Q84 539 102 539Q115 539 119 529T125 503T137 459T171 404Q277 275 640 269H661Q694 269 694 249T661 229H640Q526 227 439 214T283 173T173 98T124 -17Q118 -41 103 -41Q83 -41 83 -17Q88 29 105 67T151 132T208 178T277 212T342 233T404 249Q401 250 380 254T345 263T302 276T245 299Q125 358 92 468Q84 502 84 517"],8834:[541,41,778,84,694,"84 250Q84 372 166 450T360 539Q361 539 370 539T395 539T430 540T475 540T524 540H679Q694 532 694 520Q694 511 681 501L522 500H470H441Q366 500 338 496T266 472Q244 461 224 446T179 404T139 337T124 250V245Q124 157 185 89Q244 25 328 7Q348 2 366 2T522 0H681Q694 -10 694 -20Q694 -32 679 -40H526Q510 -40 480 -40T434 -41Q350 -41 289 -25T172 45Q84 127 84 250"],8835:[541,40,778,83,693,"83 520Q83 532 98 540H251Q267 540 297 540T343 541Q427 541 488 525T605 455Q693 374 693 250Q693 165 650 99T545 0T415 -39Q407 -40 251 -40H98Q83 -32 83 -20Q83 -10 96 0H255H308H337Q412 0 439 4T512 28Q533 39 553 54T599 96T639 163T654 250Q654 341 592 411Q557 449 512 472Q468 491 439 495T335 500H306H255L96 501Q83 511 83 520"],8838:[637,138,778,84,694,"84 346Q84 468 166 546T360 635Q361 635 370 635T395 635T430 636T475 636T524 636H679Q694 628 694 616Q694 607 681 597L522 596H470H441Q366 596 338 592T266 568Q244 557 224 542T179 500T139 433T124 346V341Q124 253 185 185Q244 121 328 103Q348 98 366 98T522 96H681Q694 86 694 76Q694 64 679 56H526Q510 56 480 56T434 55Q350 55 289 71T172 141Q84 223 84 346ZM104 -131T104 -118T118 -98H679Q694 -106 694 -118T679 -138H118Q104 -131 104 -118"],8839:[637,138,778,83,693,"83 616Q83 628 98 636H251Q267 636 297 636T343 637Q427 637 488 621T605 551Q693 470 693 346Q693 261 650 195T545 96T415 57Q407 56 251 56H98Q83 64 83 76Q83 86 96 96H255H308H337Q412 96 439 100T512 124Q533 135 553 150T599 192T639 259T654 346Q654 437 592 507Q557 545 512 568Q468 587 439 591T335 596H306H255L96 597Q83 607 83 616ZM84 -131T84 -118T98 -98H659Q674 -106 674 -118T659 -138H98Q84 -131 84 -118"],8846:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598ZM313 406Q313 417 313 435T312 459Q312 483 316 493T333 503T349 494T353 461V406V325H515Q516 325 519 323T527 316T531 305T527 294T520 287T515 285H353V204V152Q353 127 350 117T333 107T316 117T312 152Q312 158 312 175T313 204V285H151Q150 285 147 287T139 294T135 305T139 316T146 323T151 325H313V406"],8849:[636,138,778,84,714,"94 620Q98 632 110 636H699Q714 628 714 616T699 596H134V96H698Q714 90 714 76Q714 64 699 56H109Q104 59 95 69L94 344V620ZM84 -118Q84 -103 100 -98H698Q714 -104 714 -118Q714 -130 699 -138H98Q84 -131 84 -118"],8850:[636,138,778,64,694,"64 603T64 616T78 636H668Q675 633 683 623V69Q675 59 668 56H78Q64 63 64 76Q64 91 80 96H643V596H78Q64 603 64 616ZM64 -118Q64 -108 79 -98H678Q694 -104 694 -118Q694 -130 679 -138H78Q64 -131 64 -118"],8851:[598,0,667,61,605,"83 0Q79 0 76 1T71 3T67 6T65 9T63 13T61 16V301L62 585Q70 595 76 598H592Q602 590 605 583V15Q598 2 587 0Q583 0 580 1T575 3T571 6T569 9T567 13T565 16V558H101V15Q94 2 83 0"],8852:[598,0,667,61,605,"77 0Q65 4 61 16V301L62 585Q72 598 81 598Q94 598 101 583V40H565V583Q573 598 585 598Q598 598 605 583V15Q602 10 592 1L335 0H77"],8853:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222"],8854:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM681 278Q669 385 591 463T381 542Q283 542 196 471T96 278V270H681V278ZM275 -42T388 -42T585 32T681 222V230H96V222Q108 107 191 33"],8855:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q531 510 496 523Q446 542 381 542Q324 542 272 519T196 471L389 278L485 375L582 471ZM167 442Q95 362 95 250Q95 137 167 58L359 250L167 442ZM610 58Q682 138 682 250Q682 363 610 442L418 250L610 58ZM196 29Q209 16 230 2T295 -27T388 -42Q409 -42 429 -40T465 -33T496 -23T522 -11T544 1T561 13T574 22T582 29L388 222L196 29"],8856:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q581 472 571 480T556 491T539 502T517 514T491 525T460 534T424 539T381 542Q272 542 184 460T95 251Q95 198 113 150T149 80L167 58L582 471ZM388 -42Q513 -42 597 44T682 250Q682 363 610 442L196 29Q209 16 229 2T295 -27T388 -42"],8857:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM682 250Q682 322 649 387T546 497T381 542Q272 542 184 459T95 250Q95 132 178 45T389 -42Q515 -42 598 45T682 250ZM311 250Q311 285 332 304T375 328Q376 328 382 328T392 329Q424 326 445 305T466 250Q466 217 445 195T389 172Q354 172 333 195T311 250"],8866:[695,0,611,55,555,"55 678Q55 679 56 681T58 684T61 688T65 691T70 693T77 694Q88 692 95 679V367H540Q555 359 555 347Q555 334 540 327H95V15Q88 2 77 0Q73 0 70 1T65 3T61 6T59 9T57 13T55 16V678"],8867:[695,0,611,54,555,"515 678Q515 679 516 681T518 684T521 688T525 691T530 693T537 694Q548 692 555 679V15Q548 2 537 0Q533 0 530 1T525 3T521 6T519 9T517 13T515 16V327H71Q70 327 67 329T59 336T55 347T59 358T66 365T71 367H515V678"],8868:[668,0,778,55,723,"55 642T55 648T59 659T66 666T71 668H708Q723 660 723 648T708 628H409V15Q402 2 391 0Q387 0 384 1T379 3T375 6T373 9T371 13T369 16V628H71Q70 628 67 630T59 637"],8869:[669,0,778,54,723,"369 652Q369 653 370 655T372 658T375 662T379 665T384 667T391 668Q402 666 409 653V40H708Q723 32 723 20T708 0H71Q70 0 67 2T59 9T55 20T59 31T66 38T71 40H369V652"],8872:[750,249,867,119,812,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V367H796Q811 359 811 347Q811 336 797 328L479 327H161L159 328V172L161 173H797Q798 172 800 171T803 169T805 167T808 164T809 162T810 158T811 153Q811 140 796 133H159V-235Q151 -249 141 -249H139"],8900:[488,-12,500,12,488,"242 486Q245 488 250 488Q256 488 258 486Q262 484 373 373T486 258T488 250T486 242T373 127T258 14Q256 12 250 12Q245 12 242 14Q237 16 127 126T14 242Q12 245 12 250T14 258Q16 263 126 373T242 486ZM439 250L250 439L61 250L250 61L439 250"],8901:[310,-190,278,78,199,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250"],8902:[486,-16,500,3,497,"210 282Q210 284 225 381T241 480Q241 484 245 484Q249 486 251 486Q258 486 260 477T272 406Q275 390 276 380Q290 286 290 282L388 299Q484 314 487 314H488Q497 314 497 302Q497 297 434 266Q416 257 404 251L315 206L361 118Q372 98 383 75T401 40L407 28Q407 16 395 16Q394 16 392 16L390 17L250 159L110 17L108 16Q106 16 105 16Q93 16 93 28L99 40Q105 52 116 75T139 118L185 206L96 251Q6 296 4 300Q3 301 3 302Q3 314 12 314H13Q16 314 112 299L210 282"],8904:[505,5,900,26,873,"833 50T833 250T832 450T659 351T487 250T658 150T832 50Q833 50 833 250ZM873 10Q866 -5 854 -5Q851 -5 845 -3L449 226L260 115Q51 -5 43 -5Q39 -5 35 -1T28 7L26 11V489Q33 505 43 505Q51 505 260 385L449 274L845 503Q851 505 853 505Q866 505 873 490V10ZM412 250L67 450Q66 450 66 250T67 50Q69 51 240 150T412 250"],8942:[900,30,278,78,199,"78 30Q78 54 95 72T138 90Q162 90 180 74T199 31Q199 6 182 -12T139 -30T96 -13T78 30ZM78 440Q78 464 95 482T138 500Q162 500 180 484T199 441Q199 416 182 398T139 380T96 397T78 440ZM78 840Q78 864 95 882T138 900Q162 900 180 884T199 841Q199 816 182 798T139 780T96 797T78 840"],8943:[310,-190,1172,78,1093,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250ZM525 250Q525 274 542 292T585 310Q609 310 627 294T646 251Q646 226 629 208T586 190T543 207T525 250ZM972 250Q972 274 989 292T1032 310Q1056 310 1074 294T1093 251Q1093 226 1076 208T1033 190T990 207T972 250"],8945:[820,-100,1282,133,1148,"133 760Q133 784 150 802T193 820Q217 820 235 804T254 761Q254 736 237 718T194 700T151 717T133 760ZM580 460Q580 484 597 502T640 520Q664 520 682 504T701 461Q701 436 684 418T641 400T598 417T580 460ZM1027 160Q1027 184 1044 202T1087 220Q1111 220 1129 204T1148 161Q1148 136 1131 118T1088 100T1045 117T1027 160"],8968:[750,250,444,174,422,"174 734Q178 746 190 750H298H369Q400 750 411 747T422 730T411 713T372 709Q365 709 345 709T310 710H214V-235Q206 -248 196 -250Q192 -250 189 -249T184 -247T180 -244T178 -241T176 -237T174 -234V734"],8969:[750,250,444,21,269,"21 717T21 730T32 746T75 750H147H256Q266 742 269 735V-235Q262 -248 251 -250Q247 -250 244 -249T239 -247T235 -244T233 -241T231 -237T229 -234V710H133Q119 710 99 710T71 709Q43 709 32 713"],8970:[751,251,444,174,423,"174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734"],8971:[751,250,444,21,269,"229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734"],8994:[388,-122,1000,55,944,"55 141Q55 149 72 174T125 234T209 303T329 360T478 388H526Q649 383 765 319Q814 291 858 250T923 179T944 141Q944 133 938 128T924 122Q914 124 912 125T902 139Q766 328 500 328Q415 328 342 308T225 258T150 199T102 148T84 124Q81 122 75 122Q55 127 55 141"],8995:[378,-134,1000,55,944,"923 378Q944 378 944 358Q944 345 912 311T859 259Q710 134 500 134Q288 134 140 259Q55 336 55 358Q55 366 61 372T75 378Q78 378 84 376Q86 376 101 356T147 310T221 257T339 212T500 193Q628 193 734 236Q841 282 903 363Q914 378 923 378"],9136:[744,244,412,56,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 454T239 315T239 247Q240 235 240 124V40Q240 -17 233 -53T201 -130Q155 -206 78 -244H69H64Q58 -244 57 -243T56 -234Q56 -232 56 -231V-225Q56 -218 63 -215Q153 -153 170 -39Q172 -25 173 119V219Q173 245 174 249Q173 258 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],9137:[744,244,412,55,357,"78 744Q153 706 196 640T239 492V376Q239 341 239 314T238 271T238 253Q239 251 239 223V119V49Q239 -39 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 258 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10216:[750,250,389,109,333,"333 -232Q332 -239 327 -244T313 -250Q303 -250 296 -240Q293 -233 202 6T110 250T201 494T296 740Q299 745 306 749L309 750Q312 750 313 750Q331 750 333 732Q333 727 243 489Q152 252 152 250T243 11Q333 -227 333 -232"],10217:[750,250,389,55,279,"55 732Q56 739 61 744T75 750Q85 750 92 740Q95 733 186 494T278 250T187 6T92 -240Q85 -250 75 -250Q67 -250 62 -245T55 -232Q55 -227 145 11Q236 248 236 250T145 489Q55 727 55 732"],10222:[744,244,412,173,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 394V331Q240 259 239 250Q240 242 240 119V49Q240 -42 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 260 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],10223:[744,244,412,55,240,"78 744Q153 706 196 640T239 492V376Q239 339 239 311T238 269T238 252Q240 236 240 124V40Q240 -18 233 -53T202 -130Q156 -206 79 -244H70H65Q58 -244 57 -242T56 -231T57 -220T64 -215Q153 -154 170 -39Q173 -18 174 119V247Q173 249 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10229:[511,11,1609,55,1525,"165 270H1510Q1525 262 1525 250T1510 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10230:[511,11,1638,84,1553,"84 237T84 250T98 270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H98Q84 237 84 250"],10231:[511,11,1859,55,1803,"165 270H1694Q1578 357 1551 493Q1551 494 1551 496T1550 499Q1550 511 1567 511H1570Q1579 511 1582 510T1588 506T1591 497T1594 481T1602 456Q1624 389 1675 336T1794 261Q1803 258 1803 250Q1803 244 1798 241T1774 231T1736 212Q1695 186 1665 152T1620 85T1599 35T1591 4Q1589 -6 1586 -8T1570 -11Q1550 -11 1550 0Q1550 7 1555 25Q1587 151 1694 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10232:[525,24,1609,56,1554,"274 173H1539Q1540 172 1542 171T1545 169T1547 167T1550 164T1551 162T1552 158T1553 153Q1553 140 1538 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1538Q1553 359 1553 347Q1553 336 1539 328L1221 327H903L900 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10233:[525,24,1638,56,1582,"1218 514Q1218 525 1234 525Q1239 525 1242 525T1247 525T1251 524T1253 523T1255 520T1257 517T1260 512Q1297 438 1358 381T1469 300T1565 263Q1582 258 1582 250T1573 239T1536 228T1478 204Q1334 134 1260 -12Q1256 -21 1253 -22T1238 -24Q1218 -24 1218 -17Q1218 -13 1223 0Q1258 69 1309 123L1319 133H70Q56 140 56 153Q56 168 72 173H1363L1373 181Q1412 211 1490 250Q1489 251 1472 259T1427 283T1373 319L1363 327H710L707 328L390 327H72Q56 332 56 347Q56 360 70 367H1319L1309 377Q1276 412 1247 458T1218 514"],10234:[525,24,1858,56,1802,"1438 514Q1438 525 1454 525Q1459 525 1462 525T1467 525T1471 524T1473 523T1475 520T1477 517T1480 512Q1517 438 1578 381T1689 300T1785 263Q1802 258 1802 250T1793 239T1756 228T1698 204Q1554 134 1480 -12Q1476 -21 1473 -22T1458 -24Q1438 -24 1438 -17Q1438 -13 1443 0Q1478 69 1529 123L1539 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1539L1529 377Q1496 412 1467 458T1438 514ZM274 173H1583L1593 181Q1632 211 1710 250Q1709 251 1692 259T1647 283T1593 319L1583 327H930L927 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10236:[511,11,1638,54,1553,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H95V155"],10927:[636,138,778,84,694,"84 346Q84 359 91 363T117 367Q120 367 126 367T137 366Q388 370 512 430T653 609Q657 636 676 636Q685 635 689 629T694 618V612Q689 566 672 528T626 463T569 417T500 383T435 362T373 346Q379 345 404 339T440 330T477 318T533 296Q592 266 630 223T681 145T694 78Q694 57 674 57Q662 57 657 67T652 92T640 135T606 191Q500 320 137 326H114Q104 326 98 327T88 332T84 346ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"],10928:[636,138,778,83,694,"84 614Q84 636 102 636Q115 636 119 626T125 600T137 556T171 501Q277 372 640 366H661Q694 366 694 346T661 326H640Q578 325 526 321T415 307T309 280T222 237T156 172T124 83Q122 66 118 62T103 57Q100 57 98 57T95 58T93 59T90 62T85 67Q83 71 83 80Q88 126 105 164T151 229T208 275T277 309T342 330T404 346Q401 347 380 351T345 360T302 373T245 396Q125 455 92 565Q84 599 84 614ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"]};m.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",id:"MJMATHI",style:"italic",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0,""],47:[716,215,778,139,638,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183Q157 -157 378 274T602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 691 406 241T170 -212Q166 -215 159 -215"],65:[716,0,750,35,726,"208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260"],66:[683,0,759,35,756,"231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229"],67:[705,22,715,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252"],68:[683,0,828,33,803,"287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469"],69:[680,0,738,31,764,"492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213"],70:[680,0,643,31,749,"48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1"],71:[705,22,786,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q492 659 471 656T418 643T357 615T294 567T236 496T189 394T158 260Q156 242 156 221Q156 173 170 136T206 79T256 45T308 28T353 24Q407 24 452 47T514 106Q517 114 529 161T541 214Q541 222 528 224T468 227H431Q425 233 425 235T427 254Q431 267 437 273H454Q494 271 594 271Q634 271 659 271T695 272T707 272Q721 272 721 263Q721 261 719 249Q714 230 709 228Q706 227 694 227Q674 227 653 224Q646 221 643 215T629 164Q620 131 614 108Q589 6 586 3Q584 1 581 1Q571 1 553 21T530 52Q530 53 528 52T522 47Q448 -22 322 -22Q201 -22 126 55T50 252"],72:[683,0,831,31,888,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 219 683Q260 681 355 681Q389 681 418 681T463 682T483 682Q499 682 499 672Q499 670 497 658Q492 641 487 638H485Q483 638 480 638T473 638T464 637T455 637Q416 636 405 634T387 623Q384 619 355 500Q348 474 340 442T328 395L324 380Q324 378 469 378H614L615 381Q615 384 646 504Q674 619 674 627T617 637Q594 637 587 639T580 648Q580 650 582 660Q586 677 588 679T604 682Q609 682 646 681T740 680Q802 680 835 681T871 682Q888 682 888 672Q888 645 876 638H874Q872 638 869 638T862 638T853 637T844 637Q805 636 794 634T776 623Q773 618 704 340T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q520 50 522 50T528 55T534 64T540 82T547 110T558 153Q565 181 569 198Q602 330 602 331T457 332H312L279 197Q245 63 245 58Q245 51 253 49T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],73:[683,0,440,26,504,"43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1"],74:[683,22,555,57,633,"447 625Q447 637 354 637H329Q323 642 323 645T325 664Q329 677 335 683H352Q393 681 498 681Q541 681 568 681T605 682T619 682Q633 682 633 672Q633 670 630 658Q626 642 623 640T604 637Q552 637 545 623Q541 610 483 376Q420 128 419 127Q397 64 333 21T195 -22Q137 -22 97 8T57 88Q57 130 80 152T132 174Q177 174 182 130Q182 98 164 80T123 56Q115 54 115 53T122 44Q148 15 197 15Q235 15 271 47T324 130Q328 142 387 380T447 625"],75:[683,0,849,31,889,"285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628"],76:[683,2,681,32,647,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],77:[684,0,970,35,1051,"289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629"],78:[683,0,803,31,888,"234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637"],79:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476"],80:[683,0,642,33,751,"287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554"],81:[704,194,791,50,740,"399 -80Q399 -47 400 -30T402 -11V-7L387 -11Q341 -22 303 -22Q208 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435Q740 255 592 107Q529 47 461 16L444 8V3Q444 2 449 -24T470 -66T516 -82Q551 -82 583 -60T625 -3Q631 11 638 11Q647 11 649 2Q649 -6 639 -34T611 -100T557 -165T481 -194Q399 -194 399 -87V-80ZM636 468Q636 523 621 564T580 625T530 655T477 665Q429 665 379 640Q277 591 215 464T153 216Q153 110 207 59Q231 38 236 38V46Q236 86 269 120T347 155Q372 155 390 144T417 114T429 82T435 55L448 64Q512 108 557 185T619 334T636 468ZM314 18Q362 18 404 39L403 49Q399 104 366 115Q354 117 347 117Q344 117 341 117T337 118Q317 118 296 98T274 52Q274 18 314 18"],82:[683,21,759,33,755,"230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554"],83:[705,22,613,52,645,"308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24"],84:[677,0,584,21,704,"40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40"],85:[683,22,683,60,767,"107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637"],86:[683,22,583,52,769,"52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648"],87:[683,22,944,51,1048,"436 683Q450 683 486 682T553 680Q604 680 638 681T677 682Q695 682 695 674Q695 670 692 659Q687 641 683 639T661 637Q636 636 621 632T600 624T597 615Q597 603 613 377T629 138L631 141Q633 144 637 151T649 170T666 200T690 241T720 295T759 362Q863 546 877 572T892 604Q892 619 873 628T831 637Q817 637 817 647Q817 650 819 660Q823 676 825 679T839 682Q842 682 856 682T895 682T949 681Q1015 681 1034 683Q1048 683 1048 672Q1048 666 1045 655T1038 640T1028 637Q1006 637 988 631T958 617T939 600T927 584L923 578L754 282Q586 -14 585 -15Q579 -22 561 -22Q546 -22 542 -17Q539 -14 523 229T506 480L494 462Q472 425 366 239Q222 -13 220 -15T215 -19Q210 -22 197 -22Q178 -22 176 -15Q176 -12 154 304T131 622Q129 631 121 633T82 637H58Q51 644 51 648Q52 671 64 683H76Q118 680 176 680Q301 680 313 683H323Q329 677 329 674T327 656Q322 641 318 637H297Q236 634 232 620Q262 160 266 136L501 550L499 587Q496 629 489 632Q483 636 447 637Q428 637 422 639T416 648Q416 650 418 660Q419 664 420 669T421 676T424 680T428 682T436 683"],88:[683,0,828,26,852,"42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0"],89:[683,-1,581,30,763,"66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637"],90:[683,0,683,58,723,"58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8"],97:[441,10,529,33,506,"33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328"],98:[694,11,429,40,422,"73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325"],99:[442,12,433,34,430,"34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159"],100:[694,10,520,33,523,"366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],101:[443,11,466,39,430,"39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353"],102:[705,205,490,55,550,"118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162"],103:[442,205,477,10,480,"311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328"],104:[694,11,576,48,555,"137 683Q138 683 209 688T282 694Q294 694 294 685Q294 674 258 534Q220 386 220 383Q220 381 227 388Q288 442 357 442Q411 442 444 415T478 336Q478 285 440 178T402 50Q403 36 407 31T422 26Q450 26 474 56T513 138Q516 149 519 151T535 153Q555 153 555 145Q555 144 551 130Q535 71 500 33Q466 -10 419 -10H414Q367 -10 346 17T325 74Q325 90 361 192T398 345Q398 404 354 404H349Q266 404 205 306L198 293L164 158Q132 28 127 16Q114 -11 83 -11Q69 -11 59 -2T48 16Q48 30 121 320L195 616Q195 629 188 632T149 637H128Q122 643 122 645T124 664Q129 683 137 683"],105:[661,11,345,21,302,"184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287"],106:[661,204,412,-12,403,"297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376"],107:[694,11,521,48,503,"121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647"],108:[695,12,298,38,266,"117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59"],109:[443,11,878,21,857,"21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287"],110:[443,11,600,21,580,"21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287"],111:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],112:[443,194,503,-39,497,"23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102"],113:[442,194,446,33,460,"33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],114:[443,11,451,21,430,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],115:[443,10,469,53,419,"131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289"],116:[626,11,361,19,330,"26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26"],117:[442,11,572,21,551,"21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],118:[443,11,485,21,467,"173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380"],119:[443,11,716,21,690,"580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385"],120:[442,11,572,35,522,"52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289"],121:[443,205,490,21,497,"21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],122:[442,11,465,35,468,"347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338"],915:[680,-1,615,31,721,"49 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H714Q721 676 721 669Q721 664 708 557T694 447Q692 440 674 440H662Q655 445 655 454Q655 455 658 480T661 534Q661 572 652 592Q638 619 603 626T501 634H471Q398 633 393 630Q389 628 386 622Q385 619 315 341T245 60Q245 46 333 46H345Q366 46 366 35Q366 33 363 21T358 6Q356 1 339 1Q334 1 292 1T187 2Q122 2 88 2T49 1"],920:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM640 466Q640 523 625 565T583 628T532 658T479 668Q370 668 273 559T151 255Q150 245 150 213Q150 156 165 116T207 55T259 26T313 17Q385 17 451 63T561 184Q590 234 615 312T640 466ZM510 276Q510 278 512 288L515 298Q515 299 384 299H253L250 285Q246 271 244 268T231 265H227Q216 265 214 266T207 274Q207 278 223 345T244 416Q247 419 260 419H263Q280 419 280 408Q280 406 278 396L275 386Q275 385 406 385H537L540 399Q544 413 546 416T559 419H563Q574 419 576 418T583 410Q583 403 566 339Q549 271 544 267Q542 265 538 265H530H527Q510 265 510 276"],923:[716,0,694,35,670,"135 2Q114 2 90 2T60 1Q35 1 35 11Q35 28 42 40Q45 46 55 46Q119 46 151 94Q153 97 325 402T498 709Q505 716 526 716Q543 716 549 710Q550 709 560 548T580 224T591 57Q594 52 595 52Q603 47 638 46H663Q670 39 670 35Q669 12 657 0H644Q613 2 530 2Q497 2 469 2T424 2T405 1Q388 1 388 10Q388 15 391 24Q392 27 393 32T395 38T397 41T401 44T406 45T415 46Q473 46 487 64L472 306Q468 365 465 426T459 518L457 550Q456 550 328 322T198 88Q196 80 196 77Q196 49 243 46Q261 46 261 35Q261 34 259 22Q256 7 254 4T240 0Q237 0 211 1T135 2"],926:[678,0,742,53,777,"222 668Q222 670 229 677H654Q677 677 705 677T740 678Q764 678 770 676T777 667Q777 662 764 594Q761 579 757 559T751 528L749 519Q747 512 729 512H717Q710 519 710 525Q712 532 715 559T719 591Q718 595 711 595Q682 598 486 598Q252 598 246 592Q239 587 228 552L216 517Q214 512 197 512H185Q178 517 178 522Q178 524 198 591T222 668ZM227 262Q218 262 215 262T209 266L207 270L227 356Q247 435 250 439Q253 443 260 443H267H280Q287 438 287 433Q287 430 285 420T280 402L278 393Q278 392 431 392H585L590 415Q595 436 598 439T612 443H628Q635 438 635 433Q635 431 615 351T594 268Q592 262 575 262H572Q556 262 556 272Q556 280 560 293L565 313H258L252 292Q248 271 245 267T230 262H227ZM60 0Q53 4 53 11Q53 14 68 89T84 169Q88 176 98 176H104H116Q123 169 123 163Q122 160 117 127T112 88Q112 80 243 80H351H454Q554 80 574 81T597 88V89Q603 100 610 121T622 157T630 174Q633 176 646 176H658Q665 171 665 166Q665 164 643 89T618 7Q616 2 607 1T548 0H335H60"],928:[681,0,831,31,887,"48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H541Q621 680 709 680T812 681Q841 681 855 681T877 679T886 676T887 670Q887 663 885 656Q880 637 875 635Q871 634 860 634H854Q827 634 794 631Q780 628 775 619Q773 614 704 338T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q528 52 533 61Q536 67 572 209T642 491T678 632Q678 634 533 634H388Q387 631 316 347T245 59Q245 55 246 54T253 50T270 48T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1"],931:[683,0,780,58,806,"65 0Q58 4 58 11Q58 16 114 67Q173 119 222 164L377 304Q378 305 340 386T261 552T218 644Q217 648 219 660Q224 678 228 681Q231 683 515 683H799Q804 678 806 674Q806 667 793 559T778 448Q774 443 759 443Q747 443 743 445T739 456Q739 458 741 477T743 516Q743 552 734 574T710 609T663 627T596 635T502 637Q480 637 469 637H339Q344 627 411 486T478 341V339Q477 337 477 336L457 318Q437 300 398 265T322 196L168 57Q167 56 188 56T258 56H359Q426 56 463 58T537 69T596 97T639 146T680 225Q686 243 689 246T702 250H705Q726 250 726 239Q726 238 683 123T639 5Q637 1 610 1Q577 0 348 0H65"],933:[706,0,583,28,700,"45 535Q34 535 31 536T28 544Q28 554 39 578T70 631T126 683T206 705Q230 705 251 698T295 671T330 612T344 514Q344 477 342 473V472Q343 472 347 480T361 509T380 547Q471 704 596 704Q615 704 625 702Q659 692 679 663T700 595Q700 565 696 552T687 537T670 535Q656 535 653 536T649 543Q649 544 649 550T650 562Q650 589 629 605T575 621Q502 621 448 547T365 361Q290 70 290 60Q290 46 379 46H404Q410 40 410 39T408 19Q404 6 398 0H381Q340 2 225 2Q184 2 149 2T94 2T69 1Q61 1 58 1T53 4T51 10Q51 11 53 23Q54 25 55 30T56 36T58 40T60 43T62 44T67 46T73 46T82 46H89Q144 46 163 49T190 62L198 93Q206 124 217 169T241 262T262 350T274 404Q281 445 281 486V494Q281 621 185 621Q147 621 116 601T74 550Q71 539 66 537T45 535"],934:[683,0,667,24,642,"356 624Q356 637 267 637H243Q237 642 237 645T239 664Q243 677 249 683H264Q342 681 429 681Q565 681 571 683H583Q589 677 589 674T587 656Q582 641 578 637H540Q516 637 504 637T479 633T463 630T454 623T448 613T443 597T438 576Q436 566 434 556T430 539L428 533Q442 533 472 526T543 502T613 451T642 373Q642 301 567 241T386 158L336 150Q332 150 331 146Q310 66 310 60Q310 46 399 46H424Q430 40 430 39T428 19Q424 6 418 0H401Q360 2 247 2Q207 2 173 2T119 2T95 1Q87 1 84 1T79 4T77 10Q77 11 79 23Q80 25 81 30T82 36T84 40T86 43T88 44T93 46T99 46T108 46H115Q170 46 189 49T216 62Q220 74 228 107L239 150L223 152Q139 164 82 205T24 311Q24 396 125 462Q207 517 335 533L346 578Q356 619 356 624ZM130 291Q130 203 241 188H249Q249 190 287 342L325 495H324Q313 495 291 491T229 466T168 414Q130 357 130 291ZM536 393Q536 440 507 463T418 496L341 187L351 189Q443 201 487 255Q536 314 536 393"],936:[683,0,612,21,692,"216 151Q48 174 48 329Q48 361 56 403T65 458Q65 482 58 494T43 507T28 510T21 520Q21 528 23 534T29 544L32 546H72H94Q110 546 119 544T139 536T154 514T159 476V465Q159 445 149 399T138 314Q142 229 197 201Q223 187 226 190L233 218Q240 246 253 300T280 407Q333 619 333 625Q333 637 244 637H220Q214 642 214 645T216 664Q220 677 226 683H241Q321 681 405 681Q543 681 549 683H560Q566 677 566 674T564 656Q559 641 555 637H517Q448 636 436 628Q429 623 423 600T373 404L320 192Q370 201 419 248Q451 281 469 317T500 400T518 457Q529 486 542 505T569 532T594 543T621 546H644H669Q692 546 692 536Q691 509 676 509Q623 509 593 399Q587 377 579 355T552 301T509 244T446 195T359 159Q324 151 314 151Q311 151 310 150T298 106T287 60Q287 46 376 46H401Q407 40 407 39T405 19Q401 6 395 0H378Q337 2 224 2Q184 2 150 2T96 2T72 1Q64 1 61 1T56 4T54 10Q54 11 56 23Q57 25 58 30T59 36T61 40T63 43T65 44T70 46T76 46T85 46H92Q147 46 166 49T193 62L204 106Q216 149 216 151"],937:[704,0,772,80,786,"125 84Q127 78 194 76H243V78Q243 122 208 215T165 350Q164 359 162 389Q162 522 272 610Q328 656 396 680T525 704Q628 704 698 661Q734 637 755 601T781 544T786 504Q786 439 747 374T635 226T537 109Q518 81 518 77Q537 76 557 76Q608 76 620 78T640 92Q646 100 656 119T673 155T683 172Q690 173 698 173Q718 173 718 162Q718 161 681 82T642 2Q639 0 550 0H461Q455 5 455 9T458 28Q472 78 510 149T584 276T648 402T677 525Q677 594 636 631T530 668Q476 668 423 641T335 568Q284 499 271 400Q270 388 270 348Q270 298 277 228T285 115Q285 82 280 49T271 6Q269 1 258 1T175 0H87Q83 3 80 7V18Q80 22 82 98Q84 156 85 163T91 172Q94 173 104 173T119 172Q124 169 124 126Q125 104 125 84"],945:[442,11,640,34,603,"34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26"],946:[705,194,566,23,573,"29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431"],947:[441,216,518,11,543,"31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249"],948:[717,10,444,36,451,"195 609Q195 656 227 686T302 717Q319 716 351 709T407 697T433 690Q451 682 451 662Q451 644 438 628T403 612Q382 612 348 641T288 671T249 657T235 628Q235 584 334 463Q401 379 401 292Q401 169 340 80T205 -10H198Q127 -10 83 36T36 153Q36 286 151 382Q191 413 252 434Q252 435 245 449T230 481T214 521T201 566T195 609ZM112 130Q112 83 136 55T204 27Q233 27 256 51T291 111T309 178T316 232Q316 267 309 298T295 344T269 400L259 396Q215 381 183 342T137 256T118 179T112 130"],949:[452,23,466,27,428,"190 -22Q124 -22 76 11T27 107Q27 174 97 232L107 239L99 248Q76 273 76 304Q76 364 144 408T290 452H302Q360 452 405 421Q428 405 428 392Q428 381 417 369T391 356Q382 356 371 365T338 383T283 392Q217 392 167 368T116 308Q116 289 133 272Q142 263 145 262T157 264Q188 278 238 278H243Q308 278 308 247Q308 206 223 206Q177 206 142 219L132 212Q68 169 68 112Q68 39 201 39Q253 39 286 49T328 72T345 94T362 105Q376 103 376 88Q376 79 365 62T334 26T275 -8T190 -22"],950:[704,204,438,44,471,"296 643Q298 704 324 704Q342 704 342 687Q342 682 339 664T336 633Q336 623 337 618T338 611Q339 612 341 612Q343 614 354 616T374 618L384 619H394Q471 619 471 586Q467 548 386 546H372Q338 546 320 564L311 558Q235 506 175 398T114 190Q114 171 116 155T125 127T137 104T153 86T171 72T192 61T213 53T235 46T256 39L322 16Q389 -10 389 -80Q389 -119 364 -154T300 -202Q292 -204 274 -204Q247 -204 225 -196Q210 -192 193 -182T172 -167Q167 -159 173 -148Q180 -139 191 -139Q195 -139 221 -153T283 -168Q298 -166 310 -152T322 -117Q322 -91 302 -75T250 -51T183 -29T116 4T65 62T44 160Q44 287 121 410T293 590L302 595Q296 613 296 643"],951:[443,216,497,21,503,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],952:[705,10,469,35,462,"35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132"],953:[442,10,354,48,333,"139 -10Q111 -10 92 0T64 25T52 52T48 74Q48 89 55 109T85 199T135 375L137 384Q139 394 140 397T145 409T151 422T160 431T173 439T190 442Q202 442 213 435T225 410Q225 404 214 358T181 238T137 107Q126 74 126 54Q126 43 126 39T130 31T142 27H147Q206 27 255 78Q272 98 281 114T290 138T295 149T313 153Q321 153 324 153T329 152T332 149T332 143Q332 106 276 48T145 -10H139"],954:[442,11,576,48,554,"83 -11Q70 -11 62 -4T51 8T49 17Q49 30 96 217T147 414Q160 442 193 442Q205 441 213 435T223 422T225 412Q225 401 208 337L192 270Q193 269 208 277T235 292Q252 304 306 349T396 412T467 431Q489 431 500 420T512 391Q512 366 494 347T449 327Q430 327 418 338T405 368Q405 370 407 380L397 375Q368 360 315 315L253 266L240 257H245Q262 257 300 251T366 230Q422 203 422 150Q422 140 417 114T411 67Q411 26 437 26Q484 26 513 137Q516 149 519 151T535 153Q554 153 554 144Q554 121 527 64T457 -7Q447 -10 431 -10Q386 -10 360 17T333 90Q333 108 336 122T339 146Q339 170 320 186T271 209T222 218T185 221H180L155 122Q129 22 126 16Q113 -11 83 -11"],955:[694,12,583,47,557,"166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673"],956:[442,216,603,23,580,"58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 131Q543 151 547 152Q549 153 557 153H561Q580 153 580 144Q580 138 575 117T555 63T523 13Q510 0 491 -8Q483 -10 467 -10Q446 -10 429 -4T402 11T385 29T376 44T374 51L368 45Q362 39 350 30T324 12T288 -4T246 -11Q199 -11 153 12L129 -85Q108 -167 104 -180T92 -202Q76 -216 58 -216"],957:[442,2,494,45,530,"74 431Q75 431 146 436T219 442Q231 442 231 434Q231 428 185 241L137 51H140L150 55Q161 59 177 67T214 86T261 119T312 165Q410 264 445 394Q458 442 496 442Q509 442 519 434T530 411Q530 390 516 352T469 262T388 162T267 70T106 5Q81 -2 71 -2Q66 -2 59 -1T51 1Q45 5 45 11Q45 13 88 188L132 364Q133 377 125 380T86 385H65Q59 391 59 393T61 412Q65 431 74 431"],958:[704,205,438,21,443,"268 632Q268 704 296 704Q314 704 314 687Q314 682 311 664T308 635T309 620V616H315Q342 619 360 619Q443 619 443 586Q439 548 358 546H344Q326 546 317 549T290 566Q257 550 226 505T195 405Q195 381 201 364T211 342T218 337Q266 347 298 347Q375 347 375 314Q374 297 359 288T327 277T280 275Q234 275 208 283L195 286Q149 260 119 214T88 130Q88 116 90 108Q101 79 129 63T229 20Q238 17 243 15Q337 -21 354 -33Q383 -53 383 -94Q383 -137 351 -171T273 -205Q240 -205 202 -190T158 -167Q156 -163 156 -159Q156 -151 161 -146T176 -140Q182 -140 189 -143Q232 -168 274 -168Q286 -168 292 -165Q313 -151 313 -129Q313 -112 301 -104T232 -75Q214 -68 204 -64Q198 -62 171 -52T136 -38T107 -24T78 -8T56 12T36 37T26 66T21 103Q21 149 55 206T145 301L154 307L148 313Q141 319 136 323T124 338T111 358T103 382T99 413Q99 471 143 524T259 602L271 607Q268 618 268 632"],959:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],960:[431,11,570,19,573,"132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11"],961:[442,216,517,23,510,"58 -216Q25 -216 23 -186Q23 -176 73 26T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 219 486 165T425 74T345 13T266 -10H255H248Q197 -10 165 35L160 41L133 -71Q108 -168 104 -181T92 -202Q76 -216 58 -216ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q217 269 193 170L176 102Q193 26 260 26Q298 26 334 62Q367 92 389 158T418 266T424 322"],962:[442,107,363,30,405,"31 207Q31 306 115 374T302 442Q341 442 373 430T405 400Q405 392 399 383T379 374Q373 375 348 390T296 405Q222 405 160 357T98 249Q98 232 103 218T112 195T132 175T154 159T186 141T219 122Q234 114 255 102T286 85T299 78L302 74Q306 71 308 69T315 61T322 51T328 40T332 25T334 8Q334 -31 305 -69T224 -107Q194 -107 163 -92Q156 -88 156 -80Q156 -73 162 -67T178 -61Q186 -61 190 -63Q209 -71 224 -71Q244 -71 253 -59T263 -30Q263 -25 263 -21T260 -12T255 -4T248 3T239 9T227 17T213 25T195 34T174 46Q170 48 150 58T122 74T97 90T70 112T51 137T36 169T31 207"],963:[431,11,571,31,572,"184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278"],964:[431,13,437,18,517,"39 284Q18 284 18 294Q18 301 45 338T99 398Q134 425 164 429Q170 431 332 431Q492 431 497 429Q517 424 517 402Q517 388 508 376T485 360Q479 358 389 358T299 356Q298 355 283 274T251 109T233 20Q228 5 215 -4T186 -13Q153 -13 153 20V30L203 192Q214 228 227 272T248 336L254 357Q254 358 208 358Q206 358 197 358T183 359Q105 359 61 295Q56 287 53 286T39 284"],965:[443,10,540,21,523,"413 384Q413 406 432 424T473 443Q492 443 507 425T523 367Q523 334 508 270T468 153Q424 63 373 27T282 -10H268Q220 -10 186 2T135 36T111 78T104 121Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Q200 441 225 419T250 355Q248 336 247 334Q247 331 232 291T201 199T185 118Q185 68 211 47T275 26Q317 26 355 57T416 132T452 216T465 277Q465 301 457 318T439 343T421 361T413 384"],966:[442,218,654,50,618,"92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278"],967:[443,204,626,24,600,"576 -125Q576 -147 547 -175T487 -204H476Q394 -204 363 -157Q334 -114 293 26L284 59Q283 58 248 19T170 -66T92 -151T53 -191Q49 -194 43 -194Q36 -194 31 -189T25 -177T38 -154T151 -30L272 102L265 131Q189 405 135 405Q104 405 87 358Q86 351 68 351Q48 351 48 361Q48 369 56 386T89 423T148 442Q224 442 258 400Q276 375 297 320T330 222L341 180Q344 180 455 303T573 429Q579 431 582 431Q600 431 600 414Q600 407 587 392T477 270Q356 138 353 134L362 102Q392 -10 428 -89T490 -168Q504 -168 517 -156T536 -126Q539 -116 543 -115T557 -114T571 -115Q576 -118 576 -125"],968:[694,205,651,21,634,"161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441"],969:[443,12,622,15,604,"495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384"],977:[705,11,591,21,563,"537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564"],981:[694,205,596,42,579,"409 688Q413 694 421 694H429H442Q448 688 448 686Q448 679 418 563Q411 535 404 504T392 458L388 442Q388 441 397 441T429 435T477 418Q521 397 550 357T579 260T548 151T471 65T374 11T279 -10H275L251 -105Q245 -128 238 -160Q230 -192 227 -198T215 -205H209Q189 -205 189 -198Q189 -193 211 -103L234 -11Q234 -10 226 -10Q221 -10 206 -8T161 6T107 36T62 89T43 171Q43 231 76 284T157 370T254 422T342 441Q347 441 348 445L378 567Q409 686 409 688ZM122 150Q122 116 134 91T167 53T203 35T237 27H244L337 404Q333 404 326 403T297 395T255 379T211 350T170 304Q152 276 137 237Q122 191 122 150ZM500 282Q500 320 484 347T444 385T405 400T381 404H378L332 217L284 29Q284 27 285 27Q293 27 317 33T357 47Q400 66 431 100T475 170T494 234T500 282"],982:[431,10,828,19,823,"206 -10Q158 -10 136 24T114 110Q114 233 199 349L205 358H184Q144 358 121 347Q108 340 95 330T75 312T61 295T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 532 431Q799 431 803 430Q823 423 823 402Q823 377 801 364Q790 358 766 358Q748 358 748 357Q748 355 749 348T752 327T754 297Q754 258 738 207T693 107T618 24T520 -10Q488 -10 466 2T432 36T416 77T411 120Q411 128 410 128T404 122Q373 71 323 31T206 -10ZM714 296Q714 316 707 358H251Q250 357 244 348T230 328T212 301T193 267T176 229T164 187T159 144Q159 62 222 62Q290 62 349 127T432 285Q433 286 434 288T435 291T437 293T440 294T444 294T452 294H466Q472 288 472 286Q472 285 464 244T456 170Q456 62 534 62Q604 62 659 139T714 296"],1009:[442,194,517,67,510,"205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322"],1013:[431,11,406,40,382,"227 -11Q149 -11 95 41T40 174Q40 262 87 322Q121 367 173 396T287 430Q289 431 329 431H367Q382 426 382 411Q382 385 341 385H325H312Q191 385 154 277L150 265H327Q340 256 340 246Q340 228 320 219H138V217Q128 187 128 143Q128 77 160 52T231 26Q258 26 284 36T326 57T343 68Q350 68 354 58T358 39Q358 36 357 35Q354 31 337 21T289 0T227 -11"],8710:[716,0,833,48,788,""]};m.FONTDATA.FONTS.MathJax_Main[8942][0]+=400;m.FONTDATA.FONTS.MathJax_Main[8945][0]+=700;m.FONTDATA.FONTS.MathJax_Main[8722][1]+=100;m.FONTDATA.FONTS.MathJax_Main[61][1]+=100;MathJax.Hub.Insert(m.FONTDATA.FONTS.MathJax_Main,{61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});h.Register.StartupHook("SVG Jax Require",function(){h.Register.LoadHook(m.fontDir+"/Size4/Regular/Main.js",function(){m.FONTDATA.FONTS.MathJax_Size4[57684][0]+=200;m.FONTDATA.FONTS.MathJax_Size4[57684][1]+=200});m.FONTDATA.FONTS.MathJax_Main[8773][2]-=222;h.Register.LoadHook(m.fontDir+"/Main/Bold/MathOperators.js",function(){m.FONTDATA.FONTS["MathJax_Main-bold"][8773][2]-=106});h.Register.LoadHook(m.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){m.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275});p.loadComplete(m.fontDir+"/fontdata.js")})})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/localization/ast/FontWarnings.js b/localization/ast/FontWarnings.js
new file mode 100644
index 000000000..0c0a113d5
--- /dev/null
+++ b/localization/ast/FontWarnings.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ast/FontWarnings.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ast","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax ta usando fontes basaes en web p'amosar les matem\u00E1tiques d'esta p\u00E1xina. Lleva un tiempu descargales, de manera que la p\u00E1xina apaecer\u00E1 m\u00E1s r\u00E1pidamente si instala direutamente les fontes matem\u00E1tiques na carpeta de fontes del so sistema.",imageFonts:"MathJaz ta usando les sos fontes d'imaxe en cuenta de fontes llocales o basaes en web. Esto fai que la composici\u00F3n seya m\u00E1s lenta de lo normal, y les matem\u00E1tiques podr\u00EDen nun imprimise a la resoluci\u00F3n completa de la impresora.",noFonts:"MathJax nun pue alcontrar una tipograf\u00EDa que pueda usar p'amosar les espresiones matem\u00E1tiques, y nun hai disponibles fontes d'imaxe, de mou que va volver a car\u00E1uteres Unicode xen\u00E9ricos esperando que'l so restolador pueda amosalos. Algunos car\u00E1uteres podr\u00EDen nun vese correutamente o, seique, podrien nun vese n'absoluto.",webFonts:"La mayor\u00EDa de restoladores modernos permiten que les fontes se descarguen de la web. Si anueva a una versi\u00F3n m\u00E1s moderna del restolador (o si cambia de restolador) podr\u00EDa ameyorar la calid\u00E1 de les espresiones matem\u00E1tiques d'esta p\u00E1xina.",fonts:"MathJax pue usar tanto la [tipograf\u00EDa STIX](%1) como la [tipograf\u00EDa TeX MathJax](%2). Descargue y instale una d'estes tipograf\u00EDes p'ameyorar la so esperiencia con MathJax.",STIXPage:"Esta p\u00E0xina ta dise\u00F1ada pa usar la [tipograf\u00EDa STIX](%1). Descargue ya instale esta tipograf\u00EDa p'ameyorar la so esperiencia con MathJax.",TeXPage:"Esta p\u00E0xina ta dise\u00F1ada pa usar la [tipograf\u00EDa TeX MathJax](%1). Descargue ya instale esta tipograf\u00EDa p'ameyorar la so esperiencia con MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/FontWarnings.js");
diff --git a/localization/ast/HTML-CSS.js b/localization/ast/HTML-CSS.js
new file mode 100644
index 000000000..fcb0c9e7f
--- /dev/null
+++ b/localization/ast/HTML-CSS.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ast/HTML-CSS.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ast","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Cargando la tipograf\u00EDa web %1",CantLoadWebFont:"Non pue cargase la tipograf\u00EDa web %1",FirefoxCantLoadWebFont:"Firefox nun pue cargar les tipograf\u00EDes web dende un sirvidor remotu",CantFindFontUsing:"Nun se pue atopar una tipograf\u00EDa v\u00E1lida usando %1",WebFontsNotAvailable:"Les tipograf\u00EDes web nun tan disponibles. Usando les tipograf\u00EDes d'imaxe nel so llugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/HTML-CSS.js");
diff --git a/localization/ast/HelpDialog.js b/localization/ast/HelpDialog.js
new file mode 100644
index 000000000..7c61a1650
--- /dev/null
+++ b/localization/ast/HelpDialog.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ast/HelpDialog.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ast","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Ayuda de MathJax",MathJax:"*MathJax* ye una biblioteca JavaScript que permite a los autores de p\u00E1xines incluir espresiones matem\u00E1tiques nes sos p\u00E1xines web. Como llector, nun necesita facer nada pa qu'esto asoceda.",Browsers:"*Navegadores*: MathJax funciona con tolos navegadores modernos, incluyendo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ y la mayor\u00EDa de los navegadores pa m\u00F3viles.",Menu:"*Men\u00FA matem\u00E1tiques*: MathJax amiesta un men\u00FA de contestu a les ecuaciones. Faiga clic col bot\u00F3n drechu, o Ctrl-clic, en cualquier espresi\u00F3n matem\u00E1tica pa ver el men\u00FA.",ShowMath:"*Ver f\u00F3rmula como* permite ver el c\u00F3digu de marques de la f\u00F3rmula pa que pueda copiase y apegase (como MathML o nel so formatu orixinal).",Settings:"*Configuraci\u00F3n* permite controlar diverses carauter\u00EDstiques de MathJax, como'l tama\u00F1u de les f\u00F3rmules, ya'l mecanismu que s'usa pa ver les ecuaciones.",Language:"*Llingua* permite seleicionar la llingua qu'usa MathJax pa los men\u00FAs y mensaxes d'avisu.",Zoom:"*Zoom de f\u00F3rmula*: Si tien dificultaes pa lleer una ecuaci\u00F3n, MathJax pue ampliala p'ayuda-y a que la vea meyor.",Accessibilty:"*Accesibilid\u00E1*: MathJax funciona autom\u00E1ticamente con llectores de pantalla pa facer les espresiones matem\u00E1tiques accesibles a les persones con problemes de visi\u00F3n.",Fonts:"*Tipograf\u00EDa*: MathJax usa ciertes fontes matem\u00E1tiques si tan instalaes nel ordenador; d'otra manera, usar\u00E1 fontes basaes na web. Anque nun ye necesario, si tien les fontes instalaes de mou llocal ayudar\u00E1 a componer la p\u00E1xina m\u00E1s r\u00E1pidamente. Suxerimos qu'instale les [fontes STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/HelpDialog.js");
diff --git a/localization/ast/MathML.js b/localization/ast/MathML.js
new file mode 100644
index 000000000..1c6b3d480
--- /dev/null
+++ b/localization/ast/MathML.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ast/MathML.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ast","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Mglyph incorreutu: %1",BadMglyphFont:"Tipograf\u00EDa incorreuta: %1",MathPlayer:"MathJax nun pudo configurar MathPlayer.\n\nSi MathPlayer nun ta instal\u00E1u, necesitar\u00E1 instalalu primero. D'otra manera, la so configuraci\u00F3n de segurid\u00E1 pue torgar la execuci\u00F3n de controles ActiveX. Use l'elementu Opciones d'Internet baxo'l men\u00FA Ferramientes y seleicione la lling\u00FCeta Segurid\u00E1, darr\u00E9u calque nel bot\u00F3n Nivel Personaliz\u00E1u. Compruebe que les preferencies pa 'Executar controles ActiveX' y 'Comportamientos de binariu y script' tan activaes.\n\nAngua\u00F1o ver\u00E1 mensaxes d'error en llugar de f\u00F3rmules matem\u00E1tiques.",CantCreateXMLParser:"MathJax nun pue crear un analizador XML pa MathML. Compruebe que\nla configuraci\u00F3n de segurid\u00E1 \u00ABControles de script ActiveX marcaos como seguros pa scripting\u00BB\nta activada (use l'elementu Opciones d'Internet del men\u00FA Ferramientes,\ny seleicione'l panel Segurid\u00E1, y darr\u00E9u calque nel bot\u00F3n Nivel personaliz\u00E1u pa comprobalo).\n\nMathJax nun podr\u00E1 procesar les ecuaciones MathML",UnknownNodeType:"Tipu de nuedu desconoc\u00EDu: %1",UnexpectedTextNode:"Nuedu de testu inesper\u00E1u: %1",ErrorParsingMathML:"Error al analizar MathML",ParsingError:"Error al analizar MathML: %1",MathMLSingleElement:"MathML tien de tar form\u00E1u por un \u00FAnicu elementu",MathMLRootElement:"MathML tien de tar form\u00E1u por un elementu \u003Cmath\u003E, non por %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/MathML.js");
diff --git a/localization/ast/MathMenu.js b/localization/ast/MathMenu.js
new file mode 100644
index 000000000..da535fa7d
--- /dev/null
+++ b/localization/ast/MathMenu.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ast/MathMenu.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ast","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Ver les f\u00F3rmules como",MathMLcode:"C\u00F3digu MathML",OriginalMathML:"MathML orixinal",TeXCommands:"Comandos de TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Forma orixinal",ErrorMessage:"Mensaxe d'error",Annotation:"Anotaci\u00F3n",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Conten\u00EDu MathML",OpenMath:"OpenMath",texHints:"Amosar gabitos TeX en MathML",Settings:"Configuraci\u00F3n de matem\u00E1tiques",ZoomTrigger:"Disparador del zoom",Hover:"Al pasar el mur",Click:"Al facer clic",DoubleClick:"Con doble clic",NoZoom:"Ensin zoom",TriggerRequires:"El disparador requier:",Option:"Opci\u00F3n",Alt:"Alt",Command:"Comandu",Control:"Control",Shift:"May\u00FAs",ZoomFactor:"Factor d'ampliaci\u00F3n",Renderer:"Renderizador de matem\u00E1tiques",MPHandles:"Permitir que MathPlayer alministre:",MenuEvents:"Socesos de men\u00FA",MouseEvents:"Socesos del mur",MenuAndMouse:"Socesos del mur y del men\u00FA",FontPrefs:"Preferencies de tipograf\u00EDa",ForHTMLCSS:"Pa HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (llocal)",TeXWeb:"TeX (web)",TeXImage:"TeX (imaxe)",STIXLocal:"STIX (llocal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Llat\u00EDn modernu (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contestual",Browser:"Navegador",Scale:"Escalar toles f\u00F3rmules...",Discoverable:"Illuminar al pasar el mur",Locale:"Llingua",LoadLocale:"Cargar d'una URL...",About:"Tocante a MathJax",Help:"Ayuda de MathJax",localTeXfonts:"usando tipograf\u00EDa TeX llocal",webTeXfonts:"usando tipograf\u00EDa TeX de la web",imagefonts:"usando tipograf\u00EDa d'imaxe",localSTIXfonts:"usando tipograf\u00EDa STIX llocal",webSVGfonts:"usando tipograf\u00EDa SVG de la web",genericfonts:"usando tipograf\u00EDa Unicode xen\u00E9rica",wofforotffonts:"tipograf\u00EDa WOFF u OTF",eotffonts:"tipograf\u00EDa EOT",svgfonts:"tipograf\u00EDa SVG",WebkitNativeMMLWarning:"Paez que'l so restolador nun tien sofitu pa MathML de mou nativu, de mou que cambiar la salida a MathML pue facer que les f\u00F3rmules de la p\u00E1xina nun puedan lleese",MSIENativeMMLWarning:"Internet Explorer requier el complementu MathPlayer pa procesar la salida de MathML",OperaNativeMMLWarning:"El sofitu d'Opera pa MathML ye parcial, de mou que cambiar la salida a MathML pue facer que delles espresiones nun se vean bien.",SafariNativeMMLWarning:"El MathML nativu del so navegador nun cuenta con toles carauter\u00EDstiques qu'usa MathJax, de mou que delles espresiones podr\u00EDen nun representase correutamente.",FirefoxNativeMMLWarning:"El MathML nativu del so navegador nun cuenta con toles carauter\u00EDstiques qu'usa MathJax, de mou que delles espresiones podr\u00EDen nun representase correutamente.",MSIESVGWarning:"SVG nun ta implement\u00E1u n'Internet Explorer anterior a IE9 o cuando ta emulando IE8 o anterior. Si cambia a la salida SVG, les f\u00F3rmules nun se ver\u00E1n correutamente.",LoadURL:"Cargar los datos de traducci\u00F3n d'esta URL:",BadURL:"La URL tendr\u00EDa de ser pa un ficheru JavaScript que define los datos de traducci\u00F3n de MathJax. Los nomes de los ficheros JavaScript tendr\u00EDen d'acabar en '.js'",BadData:"Nun pudieron cargase los datos de traducci\u00F3n de %1",SwitchAnyway:"\u00BFCambiar la representaci\u00F3n de toles maneres?\n\n(Calque Aceutar pa cambiar, Encaboxar pa siguir cola representaci\u00F3n actual)",ScaleMath:"Ampliar toles f\u00F3rmules (en comparancia col testu d'alredor) nun",NonZeroScale:"La escala nun tien de ser cero",PercentScale:"La escala tien de ser un porcentaxe (por exemplu 120%%)",IE8warning:"Esto desactivar\u00E1 les funciones de men\u00FA y zoom de MathJax, pero pue facer Alt-Clic nuna espresi\u00F3n pa ver el men\u00FA de MathJax.\n\n\u00BFRealmente quier cambiar la configuraci\u00F3n de MathPlayer?",IE9warning:"El men\u00FA contestual de MathJax tar\u00E1 desactiv\u00E1u, pero pue facer Alt-Clic nuna espresi\u00F3n pa ver el men\u00FA MathJax.",NoOriginalForm:"Nun ta disponible denguna forma orixinal",Close:"Zarrar",EqSource:"C\u00F3digu fonte d'ecuaci\u00F3n MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/MathMenu.js");
diff --git a/localization/ast/TeX.js b/localization/ast/TeX.js
new file mode 100644
index 000000000..eae70b459
--- /dev/null
+++ b/localization/ast/TeX.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ast/TeX.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ast","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Hai una llave d'apertura de m\u00E1s o falta una llave de zarramientu",ExtraCloseMissingOpen:"Hai una llave de zarramientu de m\u00E1s o falta una llave d'apertura",MissingLeftExtraRight:"Falta un \\left o sobra un \\right",MissingScript:"Falta un argumentu de super\u00EDndiz o sub\u00EDndiz",ExtraLeftMissingRight:"Sobra un \\left o falta un \\right",Misplaced:"%1 ta mal coloc\u00E1u",MissingOpenForSub:"Falta una llave d'apertura pal sub\u00EDndiz",MissingOpenForSup:"Falta una llave d'apertura pal super\u00EDndiz",AmbiguousUseOf:"Usu ambiguu de %1",EnvBadEnd:"\\begin{%1} acab\u00E1u con \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta un cuadru pa %1",MissingCloseBrace:"Falta la llave de zarramientu",UndefinedControlSequence:"Secuencia de control indefinida %1",DoubleExponent:"Doble esponente: use llaves p'aclarar",DoubleSubscripts:"Doble sub\u00EDndiz: usu llaves p'aclarar",DoubleExponentPrime:"La prima causa un doble esponente: use llaves p'aclarar",CantUseHash1:"Nun pue usar el \u00ABcar\u00E1uter # de par\u00E1metru de macro\u00BB en mou matem\u00E1ticu",MisplacedMiddle:"%1 tien de tar ente \\left y \\right",MisplacedLimits:"%1 s\u00F3lo ta permit\u00EDu pa operadores",MisplacedMoveRoot:"%1 s\u00F3lo pue apaecer dientro d'una ra\u00EDz",MultipleCommand:"M\u00FAltiples %1",IntegerArg:"L'argumentu de %1 tien de ser un enteru",NotMathMLToken:"%1 nun ye un elementu de \u00ABtoken\u00BB",InvalidMathMLAttr:"Atributu de MathML inv\u00E1lidu: %1",UnknownAttrForElement:"%1 nun ye un atributu reconoc\u00EDu pa %2",MaxMacroSub1:"Se sobrepas\u00F3'l n\u00FAmberu m\u00E1ximu de sustituciones de macro de MathJax; \u00BFhai ha una llamada de macro recursiva?",MaxMacroSub2:"Se sobrepas\u00F3'l n\u00FAmberu m\u00E1ximu de sustituciones de MathJax; \u00BFhai un entornu de LaTeX recursivu?",MissingArgFor:"Falta l'argumentu pa %1",ExtraAlignTab:"Tabulador d'alliniamientu estra en testu \\cases",BracketMustBeDimension:"L'argumentu de corchete pa %1 tien de ser una dimensi\u00F3n",InvalidEnv:"Nome d'entornu \u00AB%1\u00BB inv\u00E1lidu",UnknownEnv:"Entornu desconoc\u00EDu \u00AB%1\u00BB",ExtraCloseLooking:"Llave de zarramientu estra cuando se buscaba %1",MissingCloseBracket:"Nun pudo alcontrase'l \u00AB]\u00BB de zarramientu pal argumentu de %1",MissingOrUnrecognizedDelim:"El delimitador pa %1 falta o nun ta reconoc\u00EDu",MissingDimOrUnits:"Falta la dimensi\u00F3n o les unidaes pa %1",TokenNotFoundForCommand:"Nun pudo alcontrase %1 pa %2",MathNotTerminated:"Espresi\u00F3n matem\u00E1tica inacabada nel cuadru de testu",IllegalMacroParam:"Referencia illegal a par\u00E1metru de macro",MaxBufferSize:"Se sobrepas\u00F3 el tama\u00F1u del almacenamientu intermediu internu de MathJax; \u00BFhai ha una llamada a una macro recursiva?",CommandNotAllowedInEnv:"%1 nun se permite nel entornu %2",MultipleLabel:"La etiqueta '%1' tien definiciones m\u00FAltiples",CommandAtTheBeginingOfLine:"%1 tien d'apaecer al principiu de la llinia",IllegalAlign:"Alliniaci\u00F3n illegal especificada en %1",BadMathStyleFor:"Estilu de matem\u00E1tiques incorreutu pa %1",PositiveIntegerArg:"L'argumentu de %1 tien de ser un enteru positivu",ErroneousNestingEq:"A\u00F1eramientu incorreutu d'estructures d'ecuaci\u00F3n",MultlineRowsOneCol:"Les fileres dientro del entornu %1 han de tener exactamente una columna",MultipleBBoxProperty:"Propied\u00E1 %1 especificada dos veces en %2",InvalidBBoxProperty:"'%1' nun paez un color, una distancia de separaci\u00F3n o un estilu",ExtraEndMissingBegin:"Sobra un %1 o falta un \\begingroup",GlobalNotFollowedBy:"%1 nun ta sigu\u00EDu por \\let, \\def o \\newcommand",UndefinedColorModel:"El modelu de color '%1' nun ta defin\u00EDu",ModelArg1:"Los valores de color pal modelu %1 requieren 3 n\u00FAmberos",InvalidDecimalNumber:"N\u00FAmberu decimal inv\u00E1lidu",ModelArg2:"Los valores de color pal modelu %1 tienen de tar ente %2 y %3",InvalidNumber:"N\u00FAmberu inv\u00E1lidu",NewextarrowArg1:"El primer argumentu pa %1 tien de ser un nome de secuencia de control",NewextarrowArg2:"El segundu argumentu pa %1 tienen de ser dos enteros separaos por una coma",NewextarrowArg3:"El tercer argumentu pa %1 tien de ser un n\u00FAmberu de car\u00E1uter Unicode",NoClosingChar:"Nun pue alcontrase'l %1 de zarru",IllegalControlSequenceName:"Nome incorreutu de secuencia de control pa %1",IllegalParamNumber:"N\u00FAmberu par\u00E1metros illegal especific\u00E1u en %1",MissingCS:"%1 tien de tar sigu\u00EDu por una secuencia de control",CantUseHash2:"Usu illegal de # nuna plant\u00EDa pa %1",SequentialParam:"Los par\u00E1metros pa %1 tienen de numberase de mou secuencial",MissingReplacementString:"Falta la cadena de sustituci\u00F3n pa la definici\u00F3n de %1",MismatchUseDef:"L'usu de %1 nun casa cola so definici\u00F3n",RunawayArgument:"\u00BFArgumentu descontrol\u00E1u pa %1?",NoClosingDelim:"Nun s'alcontr\u00F3 el delimitador de zarru pa %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/TeX.js");
diff --git a/localization/ast/ast.js b/localization/ast/ast.js
new file mode 100644
index 000000000..2060fa916
--- /dev/null
+++ b/localization/ast/ast.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ast/ast.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ast",null,{menuTitle:"asturianu",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax alcontr\u00F3 una cookie de configuraci\u00F3n d'usuariu qu'incluye c\u00F3digu a executar. \u00BFQuier executar esi c\u00F3digu?\n\n(Tendr\u00EDa de calcar \u00ABEncaboxar\u00BB a menos que creara la cookie vust\u00E9 mesmu.)",MathProcessingError:"Error de procesamientu matem\u00E1ticu",MathError:"Error matem\u00E1ticu",LoadFile:"Cargando %1",Loading:"Cargando",LoadFailed:"Fall\u00F3 la carga del ficheru: %1",ProcessMath:"Procesando matem\u00E1tiques: %1%%",Processing:"Procesando",TypesetMath:"Escribiendo matem\u00E1tiques: %1%%",Typesetting:"Componiendo",MathJaxNotSupported:"El so navegador nun tien sofitu pa MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/ast.js");
diff --git a/localization/br/FontWarnings.js b/localization/br/FontWarnings.js
index 114c2daea..82ea73381 100644
--- a/localization/br/FontWarnings.js
+++ b/localization/br/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/FontWarnings.js");
+MathJax.Localization.addTranslation("br","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/FontWarnings.js");
diff --git a/localization/br/HTML-CSS.js b/localization/br/HTML-CSS.js
index 612016170..2c2b30f46 100644
--- a/localization/br/HTML-CSS.js
+++ b/localization/br/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"O karga\u00F1 ar font web  %1",CantLoadWebFont:"Ne c'haller ket karga\u00F1 ar font web %1",CantFindFontUsing:"Ne c'haller ket kavout ur font dereat e-touez %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HTML-CSS.js");
+MathJax.Localization.addTranslation("br","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"O karga\u00F1 ar font web  %1",CantLoadWebFont:"Ne c'haller ket karga\u00F1 ar font web %1",CantFindFontUsing:"Ne c'haller ket kavout ur font dereat e-touez %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HTML-CSS.js");
diff --git a/localization/br/HelpDialog.js b/localization/br/HelpDialog.js
index ec8cbaddb..6811c47e7 100644
--- a/localization/br/HelpDialog.js
+++ b/localization/br/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HelpDialog.js");
+MathJax.Localization.addTranslation("br","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HelpDialog.js");
diff --git a/localization/br/MathML.js b/localization/br/MathML.js
index c87c37320..70330a7ea 100644
--- a/localization/br/MathML.js
+++ b/localization/br/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"mglyph fall : %1",BadMglyphFont:"Font fall : %1",UnknownNodeType:"Seurt skoulm dianav : %1",UnexpectedTextNode:"Skoulm testenn dic'hortoz : %1",ErrorParsingMathML:"Fazi o tielfenna\u00F1 MathML",ParsingError:"Fazi o ielfenna\u00F1 MathML : %1",MathMLSingleElement:"MathML a rank beza\u00F1 stummet gant un elfenn hepken"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathML.js");
+MathJax.Localization.addTranslation("br","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"mglyph fall : %1",BadMglyphFont:"Font fall : %1",UnknownNodeType:"Seurt skoulm dianav : %1",UnexpectedTextNode:"Skoulm testenn dic'hortoz : %1",ErrorParsingMathML:"Fazi o tielfenna\u00F1 MathML",ParsingError:"Fazi o ielfenna\u00F1 MathML : %1",MathMLSingleElement:"MathML a rank beza\u00F1 stummet gant un elfenn hepken"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathML.js");
diff --git a/localization/br/MathMenu.js b/localization/br/MathMenu.js
index 5a7624378..4cd626d14 100644
--- a/localization/br/MathMenu.js
+++ b/localization/br/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Diskouez ar formulenn evel",MathMLcode:"Kod MathML",OriginalMathML:"MathML orin",TeXCommands:"Urzhio\u00F9 TeX",ErrorMessage:"Kemennadenn fazi",Annotation:"Notenn",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Click:"Klika\u00F1",DoubleClick:"Daouglika\u00F1",NoZoom:"Zoum ebet",Option:"Dibarzh",Command:"Urzhiad",Control:"Kontroll",ZoomFactor:"Feur zoum",ForHTMLCSS:"Evit HTML-CSS :",Auto:"Emgefre",TeXLocal:"TeX (lec'hel)",TeXWeb:"TeX (web)",TeXImage:"TeX (skeudenn)",STIXLocal:"STIX (lec'hel)",ContextMenu:"La\u00F1ser kemperzhel",Browser:"Merdeer",Locale:"Yezh",LoadLocale:"Karga\u00F1 diwar an URL ...",About:"Diwar-benn MathJax",Help:"Sikour MathJax",wofforotffonts:"fonto\u00F9 woff pe otf",eotffonts:"fonto\u00F9 eot",svgfonts:"Fonto\u00F9 svg",LoadURL:"Karga\u00F1 roadenno\u00F9 trei\u00F1 eus an URL-ma\u00F1 :",Close:"Serri\u00F1",Original:"Furmskrid orin",Settings:"Arventenno\u00F9 ar matematiko\u00F9"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathMenu.js");
+MathJax.Localization.addTranslation("br","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Diskouez ar formulenn evel",MathMLcode:"Kod MathML",OriginalMathML:"MathML orin",TeXCommands:"Urzhio\u00F9 TeX",Original:"Furmskrid orin",ErrorMessage:"Kemennadenn fazi",Annotation:"Notenn",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Settings:"Arventenno\u00F9 ar matematiko\u00F9",Click:"Klika\u00F1",DoubleClick:"Daouglika\u00F1",NoZoom:"Zoum ebet",Option:"Dibarzh",Command:"Urzhiad",Control:"Kontroll",ZoomFactor:"Feur zoum",ForHTMLCSS:"Evit HTML-CSS :",Auto:"Emgefre",TeXLocal:"TeX (lec'hel)",TeXWeb:"TeX (web)",TeXImage:"TeX (skeudenn)",STIXLocal:"STIX (lec'hel)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"La\u00F1ser kemperzhel",Browser:"Merdeer",Locale:"Yezh",LoadLocale:"Karga\u00F1 diwar an URL ...",About:"Diwar-benn MathJax",Help:"Sikour MathJax",wofforotffonts:"fonto\u00F9 woff pe otf",eotffonts:"fonto\u00F9 eot",svgfonts:"Fonto\u00F9 svg",LoadURL:"Karga\u00F1 roadenno\u00F9 trei\u00F1 eus an URL-ma\u00F1 :",Close:"Serri\u00F1",EqSource:"Tarzh kevatalenn MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathMenu.js");
diff --git a/localization/br/TeX.js b/localization/br/TeX.js
index f305a9df0..8a87cf289 100644
--- a/localization/br/TeX.js
+++ b/localization/br/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Briataenn digeri\u00F1 a re pe briataenn serri\u00F1 diank",ExtraCloseMissingOpen:"Briataenn serri\u00F1 a re pe briataenn digeri\u00F1 diank",MissingLeftExtraRight:"\\left diank pe \\right a re",ExtraLeftMissingRight:"\\left a re pe \\right diank",Misplaced:"%1 lec'hiet fall",AmbiguousUseOf:"Implij forc'hellek eus %1",EnvBadEnd:"\\begin{%1} zo echuet gant \\end{%2}",EnvMissingEnd:"\\end{%1} a vank",MissingBoxFor:"Ar voest a vank evit %1",MissingCloseBrace:"Ar vriataenn serri\u00F1 a vank",MisplacedMiddle:"%1 a rank beza\u00F1 e-barzh \\left ha \\right",MisplacedMoveRoot:"%1 ne c'hall beza\u00F1 nemet e-barzh ur wrizienn",MultipleCommand:"Meur a %1",IntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver anterin",InvalidMathMLAttr:"Doareenn MathML direizh : %1",MissingArgFor:"Arguzenn diank evit %1",InvalidEnv:'Anv endro "%1" direizh',UnknownEnv:'endro dianav "%1"',TokenNotFoundForCommand:"N'eus ket bet gallet kavout %1 evit %2",MathNotTerminated:"Formulenn diechu er voest testenn",CommandNotAllowedInEnv:"%1 n'eo ket aotreet en endro %2",MultipleLabel:"Label '%1' termenet meur a wech",CommandAtTheBeginingOfLine:"%1 a rank beza\u00F1 e dero\u00F9 al linenn",BadMathStyleFor:"Stil matematikel direizh evit %1",PositiveIntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver pozitivel anterin",MultlineRowsOneCol:"Ar renko\u00F9 e-barzh an endro %1 a rank kaout ur bann dres",MultipleBBoxProperty:"%1 diferet div wech e-barzh %2",ExtraEndMissingBegin:"%1 a re pe \\begingroup diank",GlobalNotFollowedBy:"%1 n'eo ket heuliet gant \\let, \\def, pe \\newcommand",UndefinedColorModel:'N\'eo ket termenet patrom liv "%1"',InvalidDecimalNumber:"Niver degel direizh",InvalidNumber:"Niver direizh",NewextarrowArg2:"Eil arguzenn %1 a rank beza\u00F1 daou niver anterin dispartiet gant ur virgulenn",NewextarrowArg3:"Trede arguzenn %1 a rank beza\u00F1 un niverenn arouezenn unicode",NoClosingChar:"Ne c'haller ket kavout an %1 serri\u00F1",CantUseHash2:"Implij direizh eus # er patrom evit %1",MismatchUseDef:"An implij eus %1 ne glot ket gant an termenadur anezha\u00F1",RunawayArgument:"Arguzenn diechu evit %1 ?",NoClosingDelim:"Ne c'haller ket kavout ur bevenner serri\u00F1 evit %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/TeX.js");
+MathJax.Localization.addTranslation("br","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Briataenn digeri\u00F1 a re pe briataenn serri\u00F1 diank",ExtraCloseMissingOpen:"Briataenn serri\u00F1 a re pe briataenn digeri\u00F1 diank",MissingLeftExtraRight:"\\left diank pe \\right a re",ExtraLeftMissingRight:"\\left a re pe \\right diank",Misplaced:"%1 lec'hiet fall",AmbiguousUseOf:"Implij forc'hellek eus %1",EnvBadEnd:"\\begin{%1} zo echuet gant \\end{%2}",EnvMissingEnd:"\\end{%1} a vank",MissingBoxFor:"Ar voest a vank evit %1",MissingCloseBrace:"Ar vriataenn serri\u00F1 a vank",MisplacedMiddle:"%1 a rank beza\u00F1 e-barzh \\left ha \\right",MisplacedMoveRoot:"%1 ne c'hall beza\u00F1 nemet e-barzh ur wrizienn",MultipleCommand:"Meur a %1",IntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver anterin",InvalidMathMLAttr:"Doareenn MathML direizh : %1",MissingArgFor:"Arguzenn diank evit %1",InvalidEnv:'Anv endro "%1" direizh',UnknownEnv:'endro dianav "%1"',TokenNotFoundForCommand:"N'eus ket bet gallet kavout %1 evit %2",MathNotTerminated:"Formulenn diechu er voest testenn",CommandNotAllowedInEnv:"%1 n'eo ket aotreet en endro %2",MultipleLabel:"Label '%1' termenet meur a wech",CommandAtTheBeginingOfLine:"%1 a rank beza\u00F1 e dero\u00F9 al linenn",BadMathStyleFor:"Stil matematikel direizh evit %1",PositiveIntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver pozitivel anterin",MultlineRowsOneCol:"Ar renko\u00F9 e-barzh an endro %1 a rank kaout ur bann dres",MultipleBBoxProperty:"%1 diferet div wech e-barzh %2",ExtraEndMissingBegin:"%1 a re pe \\begingroup diank",GlobalNotFollowedBy:"%1 n'eo ket heuliet gant \\let, \\def, pe \\newcommand",UndefinedColorModel:'N\'eo ket termenet patrom liv "%1"',InvalidDecimalNumber:"Niver degel direizh",InvalidNumber:"Niver direizh",NewextarrowArg2:"Eil arguzenn %1 a rank beza\u00F1 daou niver anterin dispartiet gant ur virgulenn",NewextarrowArg3:"Trede arguzenn %1 a rank beza\u00F1 un niverenn arouezenn unicode",NoClosingChar:"Ne c'haller ket kavout an %1 serri\u00F1",CantUseHash2:"Implij direizh eus # er patrom evit %1",MismatchUseDef:"An implij eus %1 ne glot ket gant an termenadur anezha\u00F1",RunawayArgument:"Arguzenn diechu evit %1 ?",NoClosingDelim:"Ne c'haller ket kavout ur bevenner serri\u00F1 evit %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/TeX.js");
diff --git a/localization/br/br.js b/localization/br/br.js
index 263488e82..a2595c8b0 100644
--- a/localization/br/br.js
+++ b/localization/br/br.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br",null,{menuTitle:"brezhoneg",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{MathProcessingError:"Fazi o treta\u00F1 ar formulenn",MathError:"Fazi er formulenn",LoadFile:"O karga\u00F1 %1",Loading:"O karga\u00F1",LoadFailed:"N'eus ket bet gallet karga\u00F1 %1",ProcessMath:"Treta\u00F1 ar formulenno\u00F9 : %1%%",Processing:"O treta\u00F1",TypesetMath:"Aoza\u00F1 formulenno\u00F9 : %1%%",Typesetting:"Aoza\u00F1",MathJaxNotSupported:"Ne c'hall ket ho merdeer ober gant MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&!(a%100===11||a%100===71||a%100===91)){return 1}if(a%10===2&&!(a%100===12||a%100===72||a%100===92)){return 2}if((a%10===3||a%10===4||a%10===9)&&!(10<=a%100&&a%100<=19||70<=a%100&&a%100<=79||90<=a%100&&a%100<=99)){return 3}if(a!==0&&a%1000000===0){return 4}return 5},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/br.js");
+MathJax.Localization.addTranslation("br",null,{menuTitle:"brezhoneg",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{MathProcessingError:"Fazi o treta\u00F1 ar formulenn",MathError:"Fazi er formulenn",LoadFile:"O karga\u00F1 %1",Loading:"O karga\u00F1",LoadFailed:"N'eus ket bet gallet karga\u00F1 %1",ProcessMath:"Treta\u00F1 ar formulenno\u00F9 : %1%%",Processing:"O treta\u00F1",TypesetMath:"Aoza\u00F1 formulenno\u00F9 : %1%%",Typesetting:"Aoza\u00F1",MathJaxNotSupported:"Ne c'hall ket ho merdeer ober gant MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&!(a%100===11||a%100===71||a%100===91)){return 1}if(a%10===2&&!(a%100===12||a%100===72||a%100===92)){return 2}if((a%10===3||a%10===4||a%10===9)&&!(10<=a%100&&a%100<=19||70<=a%100&&a%100<=79||90<=a%100&&a%100<=99)){return 3}if(a!==0&&a%1000000===0){return 4}return 5},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/br.js");
diff --git a/localization/ca/FontWarnings.js b/localization/ca/FontWarnings.js
new file mode 100644
index 000000000..c141d452f
--- /dev/null
+++ b/localization/ca/FontWarnings.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ca/FontWarnings.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ca","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax est\u00E0 utilitzant fonts basades en web per mostrar les expressions matem\u00E0tiques d'aquesta p\u00E0gina. Aix\u00F2 porta un temps per descarregar, de tal manera que la p\u00E0gina es mostrar\u00E0 m\u00E9s r\u00E0pidament si instal\u00B7leu les fonts matem\u00E0tiques directament a la vostra carpeta de sistema de fonts.",imageFonts:"MathJaz est\u00E0 utilitzant les seves fonts d'imatge en comptes de fonts locals o basades en web. Aix\u00F2 pot fer que la composici\u00F3 de la p\u00E0gina sigui m\u00E9s lenta que l'habitual, i les expressions matem\u00E0tiques poden no imprimir-se a resoluci\u00F3 completa en la vostra impressora.",noFonts:"MathJax no pot localitzar una font per utilitzar-la a l'hora de mostrar les expressions matem\u00E0tiques, de tal manera que es recolza en car\u00E0cters Unicode gen\u00E8rics, amb el sup\u00F2sit que el vostre navegador ser\u00E0 capa\u00E7 de mostrar-les. Alguns car\u00E0cters poden no mostrar-se correctament, o fins i tot poden no mostrar-se en absolut.",webFonts:"La majoria de navegadors moderns permeten la desc\u00E0rrega de les fonts. Si actualitzeu a una versi\u00F3 m\u00E9s nova del vostre navegador (o si canvieu de navegador) podreu millorar la qualitat de les expressions matem\u00E0tiques d'aquesta p\u00E0gina.",fonts:"MathJax pot utilitzar tant les [fonts STIX](%1) com les [fonts TeX MathJax](%2). Descarregueu i instal\u00B7leu una d'aquestes fonts per millorar la vostra experi\u00E8ncia MathJax.",STIXPage:"Aquesta p\u00E0gina est\u00E0 dissenyada per usar les [fonts STIX](%1). Descarregueu i instal\u00B7leu aquestes fonts per millorar la vostra experi\u00E8ncia MathJax.",TeXPage:"Aquesta p\u00E0gina est\u00E0 dissenyada per usar les [fonts TeX MathJax](%1). Descarregueu i instal\u00B7leu aquestes fonts per millorar la vostra experi\u00E8ncia MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/FontWarnings.js");
diff --git a/localization/ca/HTML-CSS.js b/localization/ca/HTML-CSS.js
new file mode 100644
index 000000000..011d993c8
--- /dev/null
+++ b/localization/ca/HTML-CSS.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ca/HTML-CSS.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ca","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Carregant font web %1",CantLoadWebFont:"No es pot carregar la font web %1",FirefoxCantLoadWebFont:"Firefox no pot carregar fonts web des d'un servidor remot",CantFindFontUsing:"No es pot trobar una font v\u00E0lida usant %1",WebFontsNotAvailable:"Fonts web no disponibles. S'estan usant fonts d'imatge"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/HTML-CSS.js");
diff --git a/localization/ca/HelpDialog.js b/localization/ca/HelpDialog.js
new file mode 100644
index 000000000..099c962c2
--- /dev/null
+++ b/localization/ca/HelpDialog.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ca/HelpDialog.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ca","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Ajuda MathJax",MathJax:"*MathJax* \u00E9s una llibreria JavaScript que permet als autors de p\u00E0gines incloure expressions matem\u00E0tiques a les seves p\u00E0gines web. Com a lector, no necessiteu res perqu\u00E8 pugueu visualitzar la p\u00E0gina.",Browsers:"*Navegadors*: MathJax funciona amb tots els navegadors moderns, incloent IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i la majoria de navegadors m\u00F2bils.",Menu:"*Men\u00FA matem\u00E0tiques*: MathJax afegeix un men\u00FA contextual a les equacions. Feu clic amb el bot\u00F3 dret, o Ctrl-clic, sobre qualsevol f\u00F3rmula per accedir al men\u00FA.",ShowMath:"*Mostra f\u00F3rmula com a* us permet visualitzar el codi font de la f\u00F3rmula, per tal que pugueu copiar i enganxar (en format MathML o en el seu format original).",Settings:"*Configuraci\u00F3* us permet controlar diverses caracter\u00EDstiques de MathJax, com la mida de les f\u00F3rmules, i el mecanisme emprat per visualitzar les equacions.",Language:"*Idioma* us permet seleccionar l'idioma emprat per MathJax en els seus men\u00FAs i missatges d'advert\u00E8ncia.",Zoom:"*Zoom*: Si teniu dificultats a l'hora de llegir una equaci\u00F3, MathJax pot ampliar-la per ajudar-vos a veure-la millor.",Accessibilty:"*Accessibilitat*: MathJax funciona autom\u00E0ticament amb lectors de pantalla, per tal de fer les expressions matem\u00E0tiques accessibles a aquells que tenen dificultats de visi\u00F3.",Fonts:"*Fonts*: MathJax usa algunes fonts matem\u00E0tiques si estan instal\u00B7lades al vostre ordinador; si no les hi troba, usar\u00E0 fonts basades en la web. Encara que no \u00E9s necessari, si instal\u00B7leu les fonts localment, aix\u00F2i ajudar\u00E0 a qu\u00E8 la composici\u00F3 de la p\u00E0gina sigui m\u00E9s r\u00E0pida. Us suggerim que instal\u00B7leu les [fonts STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/HelpDialog.js");
diff --git a/localization/ca/MathML.js b/localization/ca/MathML.js
new file mode 100644
index 000000000..69538688b
--- /dev/null
+++ b/localization/ca/MathML.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ca/MathML.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ca","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Mglyph incorrecte: %1",BadMglyphFont:"Font incorrecta: %1",MathPlayer:"MathJax no ha pogut configurar MathPlayer.\n\nSi MathPlayer no est\u00E0 instal\u00B7lat, necessiteu instal\u00B7lar-lo pr\u00E8viament. Altrament, pot ser que la vostra configuraci\u00F3 de seguretat estigui bloquejant l'execuci\u00F3 de controls ActiveX. Useu el men\u00FA Opcions d'Internet dins el men\u00FA Eines i seleccioneu la pestanya Seguretat, i llavors premeu el bot\u00F3 Nivell Personalitzat. Assegureu-vos que les configuracions per 'Executar Controls ActiveX' i 'Comportaments binari i script' estan activades.\n\nDe moment veureu missatges d'error en comptes de f\u00F3rmules matem\u00E0tiques.",CantCreateXMLParser:"MathJax no pot crear un analitzador XML per MathML. Comproveu que la configuraci\u00F3 de seguretat 'Controls de script ActiveX marcats segurs per scripting' est\u00E0 marcada (aneu a l'opci\u00F3 Opcions d'Internet dins el men\u00FA Eines, i seleccioneu el panell de Seguretat; despr\u00E9s, cliqueu el bot\u00F3 Nivell Personalitzat per activar aquesta configuraci\u00F3).\n\nLes equacions MathML no podran ser processades per MathJax",UnknownNodeType:"Tipus de node desconegut: %1",UnexpectedTextNode:"Node de text inesperat: %1",ErrorParsingMathML:"Error d'an\u00E0lisi MathML",ParsingError:"Error d'an\u00E0lisi MathML: %1",MathMLSingleElement:"MathML ha d'estar format per un sol element",MathMLRootElement:"MathML ha d'estar format per un element \u003Cmath\u003E, no per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/MathML.js");
diff --git a/localization/ca/MathMenu.js b/localization/ca/MathMenu.js
new file mode 100644
index 000000000..3459bc153
--- /dev/null
+++ b/localization/ca/MathMenu.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ca/MathMenu.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ca","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Mostra f\u00F3rmules com a",MathMLcode:"Codi MathML",OriginalMathML:"MathML original",TeXCommands:"Comands TeX",AsciiMathInput:"Entrada de AsciiMathML",Original:"Forma original",ErrorMessage:"Missatge d'error",Annotation:"Anotaci\u00F3",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Contingut MathML",OpenMath:"OpenMath",texHints:"Mostra ajudes TeX en MathML",Settings:"Configuraci\u00F3 de MathML",ZoomTrigger:"Control de zoom",Hover:"Passar el ratol\u00ED per sobre",Click:"Clic",DoubleClick:"Doble-clic",NoZoom:"Sense zoom",TriggerRequires:"El control requereix:",Option:"Opci\u00F3",Alt:"Alt",Command:"Comand",Control:"Control",Shift:"Maj\u00FAscules",ZoomFactor:"Factor de zoom",Renderer:"Processador de f\u00F3rmules",MPHandles:"Permetre que MathPlayer controli:",MenuEvents:"Events de men\u00FA",MouseEvents:"Events de ratol\u00ED",MenuAndMouse:"Events de ratol\u00ED i de men\u00FA",FontPrefs:"Prefer\u00E8ncies de font",ForHTMLCSS:"Per HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navegador",Scale:"Escalar totes les f\u00F3mules...",Discoverable:"Iluminar quan el ratol\u00ED passi per sobre",Locale:"Idioma",LoadLocale:"Carregar de la URL...",About:"Sobre MathJax",Help:"Ajuda de MathJax",localTeXfonts:"usar fonts TeX locals",webTeXfonts:"usar font web TeX",imagefonts:"usar fonts d'imatge",localSTIXfonts:"usar fonts STIX locals",webSVGfonts:"usar fonts SVG web",genericfonts:"usar fonts gen\u00E8riques Unicode",wofforotffonts:"fonts WOFF o OTF",eotffonts:"fonts EOT",svgfonts:"fonts SVG",WebkitNativeMMLWarning:"Sembla que el vostre navegador no permet MathML de forma nativa; si canvieu a la visualitzaci\u00F3 MathML pot ser que les f\u00F3rmules de la p\u00E0gina no es puguin llegir correctament",MSIENativeMMLWarning:"Internet Explorer requereix el plugin MathPlayer per processar el resultat de MathML",OperaNativeMMLWarning:"El suport d'Opera per MathML \u00E9s limitat; si canvieu a la visualitzaci\u00F3 MathML pot ser que algunes expressions no es visualitzin correctament.",SafariNativeMMLWarning:"El MathML del vostre navegador no implementa totes les caracter\u00EDstiques usades per MathJax; algunes expressions poden no visualitzar-se correctament.",FirefoxNativeMMLWarning:"El MathML del vostre navegador no implementa totes les caracter\u00EDstiques usades per MathJax; algunes expressions poden no visualitzar-se correctament.",MSIESVGWarning:"SVG no est\u00E0 implementat en Internet Explorer anterior a IE9 o quan est\u00E0 emulant IE8 o anterior. Si canvieu a visualitzaci\u00F3 SVG, les f\u00F3rmules no es visualitzaran correctament.",LoadURL:"Carregar les dades de traducci\u00F3 d'aquesta URL:",BadURL:"La URL ha de ser per un arxiu JavaScript que defineixi les dades de traducci\u00F3 per MathJax. Els noms d'arxius JavaScript han de finalitzar amb '.js'",BadData:"No s'han pogut carregar les dades de traducci\u00F3 des de %1",SwitchAnyway:"Canviar la visualitzaci\u00F3 de totes maneres?\n\n(Premeu Acceptar per canviar, Cancel\u00B7lar per continuar amb la visualitzaci\u00F3 actual)",ScaleMath:"Escalar totes les f\u00F3rmules (en comparaci\u00F3 amb el text adjacent) per",NonZeroScale:"L'escalat no pot ser zero",PercentScale:"L'escalat ha de ser un percentatge (per exemple 120%%)",IE8warning:"Aix\u00F2 desactivar\u00E0 les caracter\u00EDstiques de men\u00FA i zoom de MathJax, per\u00F2 podeu fer Alt-clic sobre una expressi\u00F3 per mostrar el men\u00FA MathJax.\n\nRealment voleu canviar la configuraci\u00F3 de MathPlayer?",IE9warning:"El men\u00FA contextual de MathJax es desactivar\u00E0, per\u00F2 podeu fer Alt-clic sobre una expressi\u00F3 per mostrar el men\u00FA MathJax.",NoOriginalForm:"No s'ha trobat cap forma original",Close:"Tanca",EqSource:"Codi font d'equaci\u00F3 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/MathMenu.js");
diff --git a/localization/ca/TeX.js b/localization/ca/TeX.js
new file mode 100644
index 000000000..97ab74e62
--- /dev/null
+++ b/localization/ca/TeX.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ca/TeX.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ca","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobra una clau d'apertura o falta una clau de tancament",ExtraCloseMissingOpen:"Sobra una clau de tancament o falta una clau d'abertura",MissingLeftExtraRight:"Falta \\left o sobra \\right",MissingScript:"Falta argument de super\u00EDdex o sub\u00EDndex",ExtraLeftMissingRight:"Sobra \\left o falta \\right",Misplaced:"%1 col\u00B7locat err\u00F2niament",MissingOpenForSub:"Falta clau d'abertura per sub\u00EDndex",MissingOpenForSup:"Falta clau d'abertura per super\u00EDndex",AmbiguousUseOf:"\u00DAs ambigu de %1",EnvBadEnd:"\\begin{%1} finalitzat amb \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta caixa per %1",MissingCloseBrace:"Falta clau de tancament",UndefinedControlSequence:"Seq\u00FC\u00E8ncia de control no definida %1",DoubleExponent:"Doble exponent: useu claus per aclarir",DoubleSubscripts:"Dobre sub\u00EDndex: useu claus per aclarir",DoubleExponentPrime:'El s\u00EDmbol "prima" causa doble exponent: useu claus per aclarir',CantUseHash1:"No podeu fer servir 'el car\u00E0cter # com a par\u00E0metre de macro' en mode matem\u00E0tic",MisplacedMiddle:"%1 ha d'estar entre \\left i \\right",MisplacedLimits:"%1 nom\u00E9s es permet en operadors",MisplacedMoveRoot:"%1 nom\u00E9s pot apar\u00E8ixer a dins d'una arrel",MultipleCommand:"%1 m\u00FAltiples",IntegerArg:"L'argument de %1 ha de ser enter",NotMathMLToken:"%1 no \u00E9s un element de token",InvalidMathMLAttr:"Atribut MathML inv\u00E0lid: %1",UnknownAttrForElement:"%1 no \u00E9s un atribut v\u00E0lid per %2",MaxMacroSub1:"S'ha sobrepassat el nombre m\u00E0xim de substitucions en una macro MathJax; hi ha una crida de macro recursiva?",MaxMacroSub2:"S'ha sobrepassat el nombre m\u00E0xim de substitucions en una macro MathJax; hi ha un entorn de LaTeX recursiu?",MissingArgFor:"Falta argument per %1",ExtraAlignTab:"Marca d'alineaci\u00F3 extra en text \\cases",BracketMustBeDimension:"Argument de claud\u00E0tor per %1 ha de ser una dimensi\u00F3",InvalidEnv:"Nom d'entorn inv\u00E0lid '%1'",UnknownEnv:"Entorn desconegut '%1'",ExtraCloseLooking:"Clau de tancament extra mentre es buscava %1",MissingCloseBracket:"No s'ha pogut trobar ']' de tancament per argument de %1",MissingOrUnrecognizedDelim:"Falta delimitador o delimitador no reconegut per %1",MissingDimOrUnits:"Falta dimensi\u00F3 o unitats per %1",TokenNotFoundForCommand:"No s'ha pogut trobar %1 per %2",MathNotTerminated:"Expressi\u00F3 matem\u00E0tica no finalitzada en quadre de text",IllegalMacroParam:"Refer\u00E8ncia il\u00B7legal a par\u00E0metre de macro",MaxBufferSize:"S'ha sobrepassat la mida de la mem\u00F2ria interm\u00E8dia interna de MathJax; hi ha una crida de macro recursiva?",CommandNotAllowedInEnv:"%1 no perm\u00E8s en entorn %2",MultipleLabel:"Etiqueta '%1' definida m\u00E9s d'una veegada",CommandAtTheBeginingOfLine:"%1 ha d'apar\u00E8ixer a l'inici de la l\u00EDnia",IllegalAlign:"Alineaci\u00F3 especificiada no \u00E9s v\u00E0lida a %1",BadMathStyleFor:"Estil de matem\u00E0tiques incorrecte per %1",PositiveIntegerArg:"L'argument de %1 ha de ser un enter positiu",ErroneousNestingEq:"Nidificaci\u00F3 incorrecta d'estructures d'equaci\u00F3",MultlineRowsOneCol:"Les files dins l'entorn %1 han de tenir exactament una columna",MultipleBBoxProperty:"%1 s'ha especificat dues vegades dins %2",InvalidBBoxProperty:"'%1' no \u00E9s un color, una dimensi\u00F3 o un estil",ExtraEndMissingBegin:"Sobra %1 o falta \\begingroup",GlobalNotFollowedBy:"%1 no est\u00E0 seguit per \\let, \\def o \\newcommand",UndefinedColorModel:"Model de color '%1' no definit",ModelArg1:"Valors de color pel model %1 requereixen 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal incorrecte",ModelArg2:"Valors de color pel model %1 han d'estar entre %2 i %3",InvalidNumber:"N\u00FAmero inv\u00E0lid",NewextarrowArg1:"El primer argument per %1 ha de ser un nom de seq\u00FC\u00E8ncia de control",NewextarrowArg2:"El segon argument per %1 ha de ser dos enters separats per una coma",NewextarrowArg3:"El tercer argument per %1 ha de ser un n\u00FAmero de car\u00E0cter Unicode",NoClosingChar:"No s'ha trobat el %1 de tancament",IllegalControlSequenceName:"Nom de seq\u00FC\u00E8ncia de control incorrecta per %1",IllegalParamNumber:"S'ha especificat un nombre incorrecte de par\u00E0metres dins %1",MissingCS:"%1 ha de ser seguit per una seq\u00FC\u00E8ncia de control",CantUseHash2:"\u00DAs incorrecte de # en plantilla per %1",SequentialParam:"Els par\u00E0metres per %1 s'han de numerar seq\u00FCencialment",MissingReplacementString:"Falta cadena de substituci\u00F3 a la definici\u00F3 de %1",MismatchUseDef:"L'\u00FAs de %1 no concorda amb la seva definici\u00F3",RunawayArgument:"Argument fora de control per %1?",NoClosingDelim:"No s'ha trobar el delimitador de tancament per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/TeX.js");
diff --git a/localization/ca/ca.js b/localization/ca/ca.js
new file mode 100644
index 000000000..ef5de5ae6
--- /dev/null
+++ b/localization/ca/ca.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/ca/ca.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("ca",null,{menuTitle:"catal\u00E0",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax ha trobat una galeta de configuraci\u00F3 d'usuari que inclou codi que s'ha d'executar. Voleu executar-lo?",MathProcessingError:"Error en processament d'expressi\u00F3 matem\u00E0tica",MathError:"Error d'expressi\u00F3 matem\u00E0tica",LoadFile:"Carregant %1",Loading:"Carregant",LoadFailed:"No s'ha pogut carregar el fitxer: %1",ProcessMath:"Processant expressi\u00F3: %1%%",Processing:"Processant",TypesetMath:"Formatejant expressi\u00F3: %1%%",Typesetting:"Formatejant",MathJaxNotSupported:"El vostre navegador no suporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/ca.js");
diff --git a/localization/cdo/FontWarnings.js b/localization/cdo/FontWarnings.js
index 7de488442..1a4b17def 100644
--- a/localization/cdo/FontWarnings.js
+++ b/localization/cdo/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/FontWarnings.js");
+MathJax.Localization.addTranslation("cdo","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/FontWarnings.js");
diff --git a/localization/cdo/HTML-CSS.js b/localization/cdo/HTML-CSS.js
index c0836f25f..b85900a47 100644
--- a/localization/cdo/HTML-CSS.js
+++ b/localization/cdo/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HTML-CSS.js");
+MathJax.Localization.addTranslation("cdo","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HTML-CSS.js");
diff --git a/localization/cdo/HelpDialog.js b/localization/cdo/HelpDialog.js
index 1004ce447..fff676efa 100644
--- a/localization/cdo/HelpDialog.js
+++ b/localization/cdo/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HelpDialog.js");
+MathJax.Localization.addTranslation("cdo","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HelpDialog.js");
diff --git a/localization/cdo/MathML.js b/localization/cdo/MathML.js
index 45ab73525..430848145 100644
--- a/localization/cdo/MathML.js
+++ b/localization/cdo/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathML.js");
+MathJax.Localization.addTranslation("cdo","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathML.js");
diff --git a/localization/cdo/MathMenu.js b/localization/cdo/MathMenu.js
index 42ef69f9f..b7e055d9c 100644
--- a/localization/cdo/MathMenu.js
+++ b/localization/cdo/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","MathMenu",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathMenu.js");
+MathJax.Localization.addTranslation("cdo","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathMenu.js");
diff --git a/localization/cdo/TeX.js b/localization/cdo/TeX.js
index 1b78b5c5c..708a3f926 100644
--- a/localization/cdo/TeX.js
+++ b/localization/cdo/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/TeX.js");
+MathJax.Localization.addTranslation("cdo","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/TeX.js");
diff --git a/localization/cdo/cdo.js b/localization/cdo/cdo.js
index b310a612d..38a1e41f1 100644
--- a/localization/cdo/cdo.js
+++ b/localization/cdo/cdo.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo",null,{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u7D93\u8A0E\u8457\u5305\u62EC\u6703\u904B\u884C\u5176\u4EE3\u78BC\u5176\u7528\u6236\u914D\u7F6Ecookie\u3002\u6C5D\u6709\u60F3\u904B\u884C\u7121\uFF1F\n\n\uFF08\u9664\u958B\u9019\u78BA\u5BE6\u662F\u6C5D\u81EA\u5BB6\u7279\u610F\u8A2D\u5176cookie\uFF0C\u82E5\u7121\u6C5D\u8457\u9EDE\u53D6\u6D88\u3002\uFF09",MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u8F09\u5E95%1",Loading:"\u8F09\u5E95",LoadFailed:"\u6587\u4EF6\u8F09\u5E95\u5931\u6557\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u6546\uD844\uDD4F\u8655\u7406",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6546\uD844\uDD4F\u6392\u7248",MathJaxNotSupported:"\u6C5D\u5176\u700F\u89BD\u5668\uD84C\uDF50\u652F\u6301MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/cdo.js");
+MathJax.Localization.addTranslation("cdo",null,{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u7D93\u8A0E\u8457\u5305\u62EC\u6703\u904B\u884C\u5176\u4EE3\u78BC\u5176\u7528\u6236\u914D\u7F6Ecookie\u3002\u6C5D\u6709\u60F3\u904B\u884C\u7121\uFF1F\n\n\uFF08\u9664\u958B\u9019\u78BA\u5BE6\u662F\u6C5D\u81EA\u5BB6\u7279\u610F\u8A2D\u5176cookie\uFF0C\u82E5\u7121\u6C5D\u8457\u9EDE\u53D6\u6D88\u3002\uFF09",MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u8F09\u5E95%1",Loading:"\u8F09\u5E95",LoadFailed:"\u6587\u4EF6\u8F09\u5E95\u5931\u6557\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u6546\uD844\uDD4F\u8655\u7406",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6546\uD844\uDD4F\u6392\u7248",MathJaxNotSupported:"\u6C5D\u5176\u700F\u89BD\u5668\uD84C\uDF50\u652F\u6301MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/cdo.js");
diff --git a/localization/cs/FontWarnings.js b/localization/cs/FontWarnings.js
index 94e7b18d3..89d495de8 100644
--- a/localization/cs/FontWarnings.js
+++ b/localization/cs/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDv\u00E1 k zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce webov\u00E1 p\u00EDsma. T\u011Bm trv\u00E1 sta\u017Een\u00ED n\u011Bjakou dobu, tak\u017Ee str\u00E1nka by se vykreslila rychleji, pokud byste si tato matematick\u00E1 p\u00EDsma nainstalovali p\u0159\u00EDmo do syst\u00E9mov\u00E9 slo\u017Eky p\u00EDsem.",imageFonts:"MathJax pou\u017E\u00EDv\u00E1 m\u00EDsto m\u00EDstn\u00EDch nebo webov\u00FDch p\u00EDsem obr\u00E1zkov\u00E9 p\u00EDsmo. Proto bude vykreslov\u00E1n\u00ED pomalej\u0161\u00ED, ne\u017E je obvykl\u00E9, a p\u0159i tisku na Va\u0161\u00ED tisk\u00E1rn\u011B mo\u017En\u00E1 nebude matematika vykreslena na nejlep\u0161\u00ED rozli\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee naj\u00EDt p\u00EDsmo, kter\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E1 p\u00EDsma nejsou k dispozici, tak\u017Ee se uch\u00FDl\u00ED k b\u011B\u017En\u00FDm znak\u016Fm Unicode v nad\u011Bji, \u017Ee je v\u00E1\u0161 prohl\u00ED\u017Ee\u010D dok\u00E1\u017Ee zobrazit. N\u011Bkter\u00E9 znaky se mo\u017En\u00E1 nezobraz\u00ED spr\u00E1vn\u011B, nebo dokonce v\u016Fbec.",webFonts:"V\u011Bt\u0161ina modern\u00EDch prohl\u00ED\u017Ee\u010D\u016F umo\u017E\u0148uje sta\u017Een\u00ED p\u00EDsem p\u0159es web. Aktualizace na nov\u011Bj\u0161\u00ED verzi prohl\u00ED\u017Ee\u010De (nebo zm\u011Bna prohl\u00ED\u017Ee\u010De) by mohla zlep\u0161it zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce.",fonts:"MathJax m\u016F\u017Ee pou\u017E\u00EDvat bu\u010F [p\u00EDsma STIX](%1) nebo [MathJaxov\u00E1 TeXov\u00E1 p\u00EDsma](%2). St\u00E1hn\u011Bte a nainstalujte si jedny z nich, abyste si MathJax u\u017Eili l\u00E9pe.",STIXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [p\u00EDsmy STIX](%1). St\u00E1hn\u011Bte a nainstalujte si tato p\u00EDsma, abyste si l\u00E9pe u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pro lep\u0161\u00ED vyu\u017E\u00EDv\u00E1n\u00ED MathJaxu si st\u00E1hn\u011Bte a nainstalujte tato p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/FontWarnings.js");
+MathJax.Localization.addTranslation("cs","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDv\u00E1 k zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce webov\u00E1 p\u00EDsma. T\u011Bm trv\u00E1 sta\u017Een\u00ED n\u011Bjakou dobu, tak\u017Ee str\u00E1nka by se vykreslila rychleji, pokud byste si tato matematick\u00E1 p\u00EDsma nainstalovali p\u0159\u00EDmo do syst\u00E9mov\u00E9 slo\u017Eky p\u00EDsem.",imageFonts:"MathJax pou\u017E\u00EDv\u00E1 m\u00EDsto m\u00EDstn\u00EDch nebo webov\u00FDch p\u00EDsem obr\u00E1zkov\u00E9 p\u00EDsmo. Proto bude vykreslov\u00E1n\u00ED pomalej\u0161\u00ED, ne\u017E je obvykl\u00E9, a p\u0159i tisku na Va\u0161\u00ED tisk\u00E1rn\u011B mo\u017En\u00E1 nebude matematika vykreslena na nejlep\u0161\u00ED rozli\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee naj\u00EDt p\u00EDsmo, kter\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E1 p\u00EDsma nejsou k dispozici, tak\u017Ee se uch\u00FDl\u00ED k b\u011B\u017En\u00FDm znak\u016Fm Unicode v nad\u011Bji, \u017Ee je v\u00E1\u0161 prohl\u00ED\u017Ee\u010D dok\u00E1\u017Ee zobrazit. N\u011Bkter\u00E9 znaky se mo\u017En\u00E1 nezobraz\u00ED spr\u00E1vn\u011B, nebo dokonce v\u016Fbec.",webFonts:"V\u011Bt\u0161ina modern\u00EDch prohl\u00ED\u017Ee\u010D\u016F umo\u017E\u0148uje sta\u017Een\u00ED p\u00EDsem p\u0159es web. Aktualizace na nov\u011Bj\u0161\u00ED verzi prohl\u00ED\u017Ee\u010De (nebo zm\u011Bna prohl\u00ED\u017Ee\u010De) by mohla zlep\u0161it zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce.",fonts:"MathJax m\u016F\u017Ee pou\u017E\u00EDvat bu\u010F [p\u00EDsma STIX](%1) nebo [MathJaxov\u00E1 TeXov\u00E1 p\u00EDsma](%2). St\u00E1hn\u011Bte a nainstalujte si jedny z nich, abyste si MathJax u\u017Eili l\u00E9pe.",STIXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [p\u00EDsmy STIX](%1). St\u00E1hn\u011Bte a nainstalujte si tato p\u00EDsma, abyste si l\u00E9pe u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pro lep\u0161\u00ED vyu\u017E\u00EDv\u00E1n\u00ED MathJaxu si st\u00E1hn\u011Bte a nainstalujte tato p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/FontWarnings.js");
diff --git a/localization/cs/HTML-CSS.js b/localization/cs/HTML-CSS.js
index d16949222..9b2cfa42a 100644
--- a/localization/cs/HTML-CSS.js
+++ b/localization/cs/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDt\u00E1 se web-font %1",CantLoadWebFont:"Nelze na\u010D\u00EDst web-font %1",FirefoxCantLoadWebFont:"Firefox nem\u016F\u017Ee na\u010D\u00EDtat web-fonty ze vzd\u00E1len\u00E9ho hostitele"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HTML-CSS.js");
+MathJax.Localization.addTranslation("cs","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDt\u00E1 se web-font %1",CantLoadWebFont:"Nelze na\u010D\u00EDst web-font %1",FirefoxCantLoadWebFont:"Firefox nem\u016F\u017Ee na\u010D\u00EDtat web-fonty ze vzd\u00E1len\u00E9ho hostitele",CantFindFontUsing:"Nelze naj\u00EDt platn\u00FD font pomoc\u00ED %1",WebFontsNotAvailable:"Webov\u00E9 fonty nejsou k dispozici. M\u00EDsto toho jsou pou\u017Eity obr\u00E1zkov\u00E9 fonty."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HTML-CSS.js");
diff --git a/localization/cs/HelpDialog.js b/localization/cs/HelpDialog.js
index 71749cc1d..b0469bd49 100644
--- a/localization/cs/HelpDialog.js
+++ b/localization/cs/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HelpDialog.js");
+MathJax.Localization.addTranslation("cs","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"N\u00E1pov\u011Bda k MathJaxu",MathJax:"*MathJax* je JavaScriptov\u00E1 knihovna, kter\u00E1 autor\u016Fm str\u00E1nek umo\u017E\u0148uje zahrnout do str\u00E1nek matematiku. Jako \u010Dten\u00E1\u0159 se nemus\u00EDte o nic starat.",Browsers:"*Prohl\u00ED\u017Ee\u010De*: MathJax pracuje na v\u0161ech modern\u00EDch prohl\u00ED\u017Ee\u010D\u00EDch v\u010Detn\u011B IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ a v\u011Bt\u0161in\u011B mobiln\u00EDch prohl\u00ED\u017Ee\u010D\u016F.",Menu:"*Matematick\u00E9 menu*: MathJax p\u0159id\u00E1v\u00E1 k rovnic\u00EDm kontextov\u00E9 menu. Pro zobrazen\u00ED menu klikn\u011Bte prav\u00FDm tla\u010D\u00EDtkem my\u0161i nebo s podr\u017Een\u00EDm kl\u00E1vesy Ctrl na jakoukoli matematiku.",ShowMath:"*Zobrazit matematiku jako* v\u00E1m umo\u017En\u00ED prohl\u00E9dnout si zdrojov\u00FD k\u00F3d vzorce pro okop\u00EDrov\u00E1n\u00ED (jako MathML nebo v p\u016Fvodn\u00EDm form\u00E1tu).",Settings:"*Nastaven\u00ED* v\u00E1m umo\u017E\u0148uj\u00ED p\u0159izp\u016Fsobit si n\u011Bkter\u00E9 funkce MathJaxu, jako jsou velikost matematiky \u010Di mechanismy pou\u017E\u00EDvan\u00E9 k zobrazov\u00E1n\u00ED rovnic.",Language:"*Jazyk* v\u00E1m umo\u017En\u00ED zvolit si jazyk pou\u017E\u00EDvan\u00FD MathJaxem pro menu a chybov\u00E1 hl\u00E1\u0161en\u00ED.",Zoom:"*Matematick\u00FD zoom*: Pokud v\u00E1m d\u011Bl\u00E1 probl\u00E9my \u010Dten\u00ED rovnice, Mathjax v\u00E1m umo\u017En\u00ED ji zv\u011Bt\u0161it, abyste ji l\u00E9pe vid\u011Bli.",Accessibilty:"*P\u0159\u00EDstupnost*: MathJax automaticky funguje s \u010Dte\u010Dkami obrazovky, aby matematiku zp\u0159\u00EDstupnil zrakov\u011B posti\u017Een\u00FDm.",Fonts:"*P\u00EDsma*: MathJax bude pou\u017E\u00EDvat jist\u00E1 matematick\u00E1 p\u00EDsma, pokud je m\u00E1te na po\u010D\u00EDta\u010Di nainstalovan\u00E9; v opa\u010Dn\u00E9m p\u0159\u00EDpad\u011B pou\u017Eije p\u00EDsma webov\u00E1. P\u0159esto\u017Ee to nen\u00ED nutn\u00E9, lok\u00E1ln\u011B nainstalovan\u00E1 p\u00EDsma urychl\u00ED sazbu. Doporu\u010Dujeme nainstalovat [p\u00EDsma STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HelpDialog.js");
diff --git a/localization/cs/MathML.js b/localization/cs/MathML.js
index 651f8afc5..80e7a02b2 100644
--- a/localization/cs/MathML.js
+++ b/localization/cs/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathML.js");
+MathJax.Localization.addTranslation("cs","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Chybn\u00FD mglyph: %1",BadMglyphFont:"\u0160patn\u00E9 p\u00EDsmo: %1",MathPlayer:"MathJax nedok\u00E1zal spustit MathPlayer.\n\nPokud nen\u00ED MathPlayer nainstalov\u00E1n, budete ho muset nejprve nainstalovat.\nJinak mo\u017En\u00E1 spu\u0161t\u011Bn\u00ED ovl\u00E1dac\u00EDch prvk\u016F ActiveX br\u00E1n\u00ED va\u0161e bezpe\u010Dnostn\u00ED\nnastaven\u00ED. Klikn\u011Bte v nab\u00EDdce N\u00E1stroje na polo\u017Eku Mo\u017Enosti Internetu,\nvyberte z\u00E1lo\u017Eku Zabezpe\u010Den\u00ED a klikn\u011Bte na tla\u010D\u00EDtko Vlastn\u00ED \u00FArove\u0148.\nZkontrolujte, \u017Ee jsou povolen\u00E9 mo\u017Enosti \u201ESpou\u0161t\u011Bt ovl\u00E1dac\u00ED prvky ActiveX\u201C\na \u201EChov\u00E1n\u00ED skript\u016F a bin\u00E1rn\u00EDch soubor\u016F\u201C.\n\nMoment\u00E1ln\u011B uvid\u00EDte m\u00EDsto vys\u00E1zen\u00E9 matematiky chybov\u00E1 hl\u00E1\u0161en\u00ED.",CantCreateXMLParser:"MathJax nem\u016F\u017Ee vytvo\u0159it XML parser pro MathML. Zkontrolujte,\n\u017Ee m\u00E1te povolen\u00E9 nastaven\u00ED \u201ESkriptovat ovl\u00E1dac\u00ED prvky ActiveX\nozna\u010Den\u00E9 jako bezpe\u010Dn\u00E9\u201C (v nab\u00EDdce N\u00E1stroje klikn\u011Bte na polo\u017Eku\nMo\u017Enosti Internetu, vyberte z\u00E1lo\u017Eku Zabezpe\u010Den\u00ED a klikn\u011Bte na\ntla\u010D\u00EDtko Vlastn\u00ED \u00FArove\u0148).\n\nMathJax nebude moci zpracov\u00E1vat rovnice v MathML",UnknownNodeType:"Nezn\u00E1m\u00FD typ uzlu: %1",UnexpectedTextNode:"Neo\u010Dek\u00E1van\u00FD textov\u00FD uzel: %1",ErrorParsingMathML:"Chyba p\u0159i anal\u00FDze MathML",ParsingError:"Chyba p\u0159i anal\u00FDze MathML: %1",MathMLSingleElement:"MathML mus\u00ED b\u00FDt tvo\u0159eno jedin\u00FDm elementem",MathMLRootElement:"MathML mus\u00ED b\u00FDt tvo\u0159eno elementem \u003Cmath\u003E, nikoli %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathML.js");
diff --git a/localization/cs/MathMenu.js b/localization/cs/MathMenu.js
index c919c23bf..7222bb7fe 100644
--- a/localization/cs/MathMenu.js
+++ b/localization/cs/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Matematiku zobrazovat jako",MathMLcode:"K\u00F3d MathML",OriginalMathML:"P\u016Fvodn\u00ED MathML",TeXCommands:"P\u0159\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u016Fvodn\u00ED podoba",ErrorMessage:"Chybov\u00E9 hl\u00E1\u0161en\u00ED",Annotation:"Anotace",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"V\u00FDznamov\u00E9 MathML",OpenMath:"OpenMath",texHints:"Zobrazovat v MathML n\u00E1pov\u011Bdy TeXu",Settings:"Nastaven\u00ED matematiky",ZoomTrigger:"Aktivace zoomu",Hover:"Najet\u00EDm my\u0161\u00ED",Click:"Kliknut\u00EDm",DoubleClick:"Dvojklikem",NoZoom:"Bez zoomu",TriggerRequires:"Aktivace vy\u017Eaduje:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"M\u00EDra zoomu",Renderer:"Vykreslov\u00E1n\u00ED matematiky",MPHandles:"MathPlayer m\u00E1 zpracov\u00E1vat:",MenuEvents:"Ud\u00E1losti menu",MouseEvents:"Ud\u00E1losti my\u0161i",MenuAndMouse:"Ud\u00E1losti my\u0161i a menu",FontPrefs:"Nastaven\u00ED p\u00EDsem",ForHTMLCSS:"U HTML-CSS:",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1ln\u00ED)",TeXWeb:"TeX (web)",TeXImage:"TeX (obr\u00E1zek)",STIXLocal:"STIX (lok\u00E1ln\u00ED)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prohl\u00ED\u017Ee\u010D",Discoverable:"Zv\u00FDraznit p\u0159i najet\u00ED my\u0161\u00ED",Locale:"Jazyk",About:"O MathJaxu",Help:"N\u00E1pov\u011Bda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00ED se obr\u00E1zkov\u00E1 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 unicodov\u00E1 p\u00EDsma",wofforotffonts:"p\u00EDsma woff nebo otf",eotffonts:"p\u00EDsma eot",svgfonts:"p\u00EDsma svg",SwitchAnyway:"Chcete p\u0159esto p\u0159epnout vykreslov\u00E1n\u00ED?\n\n(Stiskn\u011Bte OK pro p\u0159epnut\u00ED, STORNO pro pokra\u010Dov\u00E1n\u00ED se st\u00E1vaj\u00EDc\u00EDm vykreslov\u00E1n\u00EDm.)",Close:"Zav\u0159\u00EDt"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathMenu.js");
+MathJax.Localization.addTranslation("cs","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Zobrazit matematiku jako",MathMLcode:"K\u00F3d MathML",OriginalMathML:"P\u016Fvodn\u00ED MathML",TeXCommands:"P\u0159\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u016Fvodn\u00ED podoba",ErrorMessage:"Chybov\u00E9 hl\u00E1\u0161en\u00ED",Annotation:"Anotace",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"V\u00FDznamov\u00E9 MathML",OpenMath:"OpenMath",texHints:"Zobrazovat v MathML n\u00E1pov\u011Bdy TeXu",Settings:"Nastaven\u00ED matematiky",ZoomTrigger:"Aktivace zoomu",Hover:"Najet\u00EDm my\u0161\u00ED",Click:"Kliknut\u00EDm",DoubleClick:"Dvojklikem",NoZoom:"Bez zoomu",TriggerRequires:"Aktivace vy\u017Eaduje:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"M\u00EDra zoomu",Renderer:"Vykreslov\u00E1n\u00ED matematiky",MPHandles:"MathPlayer m\u00E1 zpracov\u00E1vat:",MenuEvents:"Ud\u00E1losti menu",MouseEvents:"Ud\u00E1losti my\u0161i",MenuAndMouse:"Ud\u00E1losti my\u0161i a menu",FontPrefs:"Nastaven\u00ED p\u00EDsem",ForHTMLCSS:"U HTML-CSS:",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1ln\u00ED)",TeXWeb:"TeX (web)",TeXImage:"TeX (obr\u00E1zek)",STIXLocal:"STIX (lok\u00E1ln\u00ED)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prohl\u00ED\u017Ee\u010D",Scale:"M\u011B\u0159\u00EDtko pro ve\u0161kerou matematiku\u2026",Discoverable:"Zv\u00FDraznit p\u0159i najet\u00ED my\u0161\u00ED",Locale:"Jazyk",LoadLocale:"Na\u010D\u00EDst z URL\u2026",About:"O MathJaxu",Help:"N\u00E1pov\u011Bda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00ED se obr\u00E1zkov\u00E1 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 unicodov\u00E1 p\u00EDsma",wofforotffonts:"p\u00EDsma woff nebo otf",eotffonts:"p\u00EDsma eot",svgfonts:"p\u00EDsma svg",WebkitNativeMMLWarning:"V\u00E1\u0161 prohl\u00ED\u017Ee\u010D patrn\u011B nepodporuje MathML, tak\u017Ee p\u0159epnut\u00ED na MathML v\u00FDstup m\u016F\u017Ee zp\u016Fsobit, \u017Ee bude matematika na t\u00E9to str\u00E1nce ne\u010Diteln\u00E1.",MSIENativeMMLWarning:"Ke zpracov\u00E1n\u00ED MathML v\u00FDstupu pot\u0159ebuje Internet Explorer z\u00E1suvn\u00FD modul MathPlayer.",OperaNativeMMLWarning:"Podpora MathML v Ope\u0159e je omezen\u00E1, tak\u017Ee p\u0159epnut\u00ED na MathML v\u00FDstup m\u016F\u017Ee zp\u016Fsobit, \u017Ee se n\u011Bkter\u00E9 v\u00FDrazy budou vykreslovat \u0161patn\u011B.",SafariNativeMMLWarning:"Vestav\u011Bn\u00E1 podpora MathML ve va\u0161em prohl\u00ED\u017Ee\u010Di neobsahuje v\u0161echny funkce pou\u017E\u00EDvan\u00E9 MathJaxem, tak\u017Ee se n\u011Bkter\u00E9 v\u00FDrazy mohou vykreslit chybn\u011B.",FirefoxNativeMMLWarning:"Vestav\u011Bn\u00E1 podpora MathML ve va\u0161em prohl\u00ED\u017Ee\u010Di neobsahuje v\u0161echny funkce pou\u017E\u00EDvan\u00E9 MathJaxem, tak\u017Ee se n\u011Bkter\u00E9 v\u00FDrazy mohou vykreslit chybn\u011B.",MSIESVGWarning:"Internet Explorer ve verzi star\u0161\u00ED ne\u017E IE9 nebo v re\u017Eimu emulace IE8 a star\u0161\u00ED nepodporuje SVG. P\u0159epnut\u00ED na SVG v\u00FDstup zp\u016Fsob\u00ED, \u017Ee se matematika nebude zobrazovat spr\u00E1vn\u011B.",LoadURL:"Na\u010D\u00EDst p\u0159eklad z URL:",BadURL:"URL by m\u011Blo v\u00E9st na JavaScriptov\u00FD soubor, kter\u00FD definuje data p\u0159ekladu MathJaxu. N\u00E1zvy JavaScriptov\u00FDch soubor\u016F by m\u011Bly kon\u010Dit \u201E.js\u201C.",BadData:"Nepoda\u0159ilo se na\u010D\u00EDst data p\u0159ekladu z %1",SwitchAnyway:"Chcete p\u0159esto p\u0159epnout vykreslov\u00E1n\u00ED?\n\n(Stiskn\u011Bte OK pro p\u0159epnut\u00ED, STORNO pro pokra\u010Dov\u00E1n\u00ED se st\u00E1vaj\u00EDc\u00EDm vykreslov\u00E1n\u00EDm.)",ScaleMath:"Ve\u0161kerou matematiku zobrazovat v m\u011B\u0159\u00EDtku (v porovn\u00E1n\u00ED s okoln\u00EDm textem)",NonZeroScale:"M\u011B\u0159\u00EDtko nem\u016F\u017Ee b\u00FDt nulov\u00E9",PercentScale:"M\u011B\u0159\u00EDtko by m\u011Blo b\u00FDt v procentech (nap\u0159\u00EDklad 120 %%)",IE8warning:"T\u00EDmto vypnete funkce MathJaxu pro zobrazen\u00ED menu a zv\u011Bt\u0161ov\u00E1n\u00ED, ale menu MathJaxu si budete moci zobrazit pomoc\u00ED Alt+kliknut\u00ED na rovnici.\n\nOpravdu zm\u011Bnit nastaven\u00ED MathPlayeru?",IE9warning:"T\u00EDmto vypnete kontextov\u00E9 menu MathJaxu, ale budete si ho moci zobrazit pomoc\u00ED Alt+kliknut\u00ED na rovnici.",NoOriginalForm:"P\u016Fvodn\u00ED podoba nen\u00ED dostupn\u00E1",Close:"Zav\u0159\u00EDt",EqSource:"Zdroj rovnice MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathMenu.js");
diff --git a/localization/cs/TeX.js b/localization/cs/TeX.js
index 5904cbe26..61cd28574 100644
--- a/localization/cs/TeX.js
+++ b/localization/cs/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"P\u0159eb\u00FDvaj\u00EDc\u00ED otv\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",ExtraCloseMissingOpen:"P\u0159eb\u00FDvaj\u00EDc\u00ED zav\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingLeftExtraRight:"Chyb\u011Bj\u00EDc\u00ED \\left nebo p\u0159eb\u00FDvaj\u00EDc\u00ED \\right",MissingScript:"Chyb\u00ED argument horn\u00EDho nebo doln\u00EDho indexu",ExtraLeftMissingRight:"P\u0159eb\u00FDvaj\u00EDc\u00ED \\left nebo chyb\u011Bj\u00EDc\u00ED \\right",Misplaced:"Chybn\u011B um\u00EDst\u011Bn\u00FD %1",MissingOpenForSub:"U doln\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingOpenForSup:"U horn\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 u\u017Eit\u00ED %1",EnvBadEnd:"\\begin{%1} bylo uzav\u0159eno \\end{%2}",EnvMissingEnd:"Chyb\u011Bj\u00EDc\u00ED \\end{%1}",MissingBoxFor:"Chyb\u00ED box pro %1",MissingCloseBrace:"Chyb\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",UndefinedControlSequence:"Nedefinovan\u00E1 \u0159\u00EDdic\u00ED sekvence %1",DoubleExponent:"Dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleSubscripts:"Dvojit\u00FD doln\u00ED index: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleExponentPrime:"Symbol \u010D\u00E1rky zp\u016Fsobil dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",CantUseHash1:"V matematick\u00E9m re\u017Eimu nem\u016F\u017Eete pou\u017E\u00EDt znak \u201E#\u201C pro parametry maker",MisplacedMiddle:"%1 mus\u00ED b\u00FDt uvnit\u0159 \\left a \\right",MisplacedLimits:"%1 je dovoleno pouze u oper\u00E1tor\u016F",MisplacedMoveRoot:"%1 se m\u016F\u017Ee vyskytnout pouze v ko\u0159eni",MultipleCommand:"V\u00EDcen\u00E1sobn\u00FD %1",IntegerArg:"Argumentem %1 mus\u00ED b\u00FDt cel\u00E9 \u010D\u00EDslo",InvalidMathMLAttr:"Neplatn\u00FD atribut MathML: %1",UnknownAttrForElement:"%1 nen\u00ED zn\u00E1m\u00FD atribut %2",MaxMacroSub1:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED makra MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",MaxMacroSub2:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED MathJaxu; nen\u00ED tam rekurzivn\u00ED LaTexov\u00E9 prost\u0159ed\u00ED?",MissingArgFor:"Chyb\u00ED argument pro %1",ExtraAlignTab:"P\u0159ebyte\u010Dn\u00FD zarovn\u00E1vac\u00ED tabul\u00E1tor v textu \\cases",BracketMustBeDimension:"Z\u00E1vorkov\u00FD argument u %1 mus\u00ED b\u00FDt rozm\u011Br",InvalidEnv:"Neplatn\u00E9 jm\u00E9no prost\u0159ed\u00ED \u201E%1\u201C",UnknownEnv:"Nezn\u00E1m\u00E9 prost\u0159ed\u00ED \u201E%1\u201C",ExtraCloseLooking:"P\u0159ebyte\u010Dn\u00E1 zav\u00EDrac\u00ED hranat\u00E1 z\u00E1vorka, zat\u00EDmco bylo o\u010Dek\u00E1v\u00E1no %1",MissingCloseBracket:"U argumentu %1 nebyla nalezena zav\u00EDrac\u00ED \u201E]\u201C",MissingOrUnrecognizedDelim:"Chyb\u011Bj\u00EDc\u00ED nebo nerozpoznan\u00FD odd\u011Blova\u010D u %1",MissingDimOrUnits:"U %1 chyb\u00ED rozm\u011Br nebo jeho jednotka",TokenNotFoundForCommand:"Nenalezeno %1 k %2",MathNotTerminated:"V textov\u00E9m boxu nen\u00ED ukon\u010Dena matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parametr makra",MaxBufferSize:"P\u0159ekro\u010Dena velikost intern\u00ED pam\u011Bti MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",CommandNotAllowedInEnv:"V prost\u0159ed\u00ED %2 nen\u00ED dovolen %1",MultipleLabel:"V\u00EDcen\u00E1sobn\u00E1 definice n\u00E1v\u011Bst\u00ED %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED b\u00FDt um\u00EDst\u011Bno na za\u010D\u00E1tku \u0159\u00E1dky",IllegalAlign:"U %1 uvedeno neplatn\u00E9 zarovn\u00E1n\u00ED",BadMathStyleFor:"Chybn\u00FD styl matematiky u %1",PositiveIntegerArg:"Argumentem %1 mus\u00ED b\u00FDt kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zano\u0159ov\u00E1n\u00ED struktury rovnic",MultlineRowsOneCol:"\u0158\u00E1dky v prost\u0159ed\u00ED %1 mus\u00ED m\u00EDt pr\u00E1v\u011B jeden sloupec",MultipleBBoxProperty:"U %2 je %1 uvedeno dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevypad\u00E1 jako barva, rozm\u011Br paddingu nebo styl",ExtraEndMissingBegin:"P\u0159eb\u00FDvaj\u00EDc\u00ED %1 nebo chyb\u011Bj\u00EDc\u00ED \\begingroup",GlobalNotFollowedBy:"Za %1 chyb\u00ED \\let, \\def nebo \\newcommand",UndefinedColorModel:"Barevn\u00FD model \u201E%1\u201C nen\u00ED definov\u00E1n",ModelArg1:"Barevn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00ED t\u0159i \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desetinn\u00E9 \u010D\u00EDslo",ModelArg2:"Barevn\u00E9 hodnoty modelu %1 mus\u00ED le\u017Eet mezi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prvn\u00EDm argumentem %1 mus\u00ED b\u00FDt n\u00E1zev \u0159\u00EDdic\u00ED sekvence",NewextarrowArg2:"Druh\u00FDm argumentem %1 mus\u00ED b\u00FDt dv\u011B cel\u00E1 \u010D\u00EDsla odd\u011Blen\u00E1 \u010D\u00E1rkou",NewextarrowArg3:"T\u0159et\u00EDm argumentem %1 mus\u00ED b\u00FDt \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nelze naj\u00EDt zav\u00EDrac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zev \u0159\u00EDdic\u00ED sekvence u %1",IllegalParamNumber:"U %1 uveden neplatn\u00FD po\u010Det parametr\u016F",MissingCS:"Za %1 mus\u00ED b\u00FDt \u0159\u00EDdic\u00ED sekvence",CantUseHash2:"Chybn\u00E9 u\u017Eit\u00ED # v \u0161ablon\u011B pro %1",SequentialParam:"Parametry %1 mus\u00ED b\u00FDt \u010D\u00EDslov\u00E1ny postupn\u011B",MissingReplacementString:"V definici %1 chyb\u00ED nahrazuj\u00EDc\u00ED \u0159et\u011Bzec",MismatchUseDef:"Pou\u017Eit\u00ED %1 neodpov\u00EDd\u00E1 jeho definici",NoClosingDelim:"Nenalezen ukon\u010Dovac\u00ED znak u %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/TeX.js");
+MathJax.Localization.addTranslation("cs","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"P\u0159eb\u00FDvaj\u00EDc\u00ED otv\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",ExtraCloseMissingOpen:"P\u0159eb\u00FDvaj\u00EDc\u00ED zav\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingLeftExtraRight:"Chyb\u011Bj\u00EDc\u00ED \\left nebo p\u0159eb\u00FDvaj\u00EDc\u00ED \\right",MissingScript:"Chyb\u00ED argument horn\u00EDho nebo doln\u00EDho indexu",ExtraLeftMissingRight:"P\u0159eb\u00FDvaj\u00EDc\u00ED \\left nebo chyb\u011Bj\u00EDc\u00ED \\right",Misplaced:"Chybn\u011B um\u00EDst\u011Bn\u00FD %1",MissingOpenForSub:"U doln\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingOpenForSup:"U horn\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 u\u017Eit\u00ED %1",EnvBadEnd:"\\begin{%1} bylo uzav\u0159eno \\end{%2}",EnvMissingEnd:"Chyb\u011Bj\u00EDc\u00ED \\end{%1}",MissingBoxFor:"Chyb\u00ED box pro %1",MissingCloseBrace:"Chyb\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",UndefinedControlSequence:"Nedefinovan\u00E1 \u0159\u00EDdic\u00ED sekvence %1",DoubleExponent:"Dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleSubscripts:"Dvojit\u00FD doln\u00ED index: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleExponentPrime:"Symbol \u010D\u00E1rky zp\u016Fsobil dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",CantUseHash1:"V matematick\u00E9m re\u017Eimu nem\u016F\u017Eete pou\u017E\u00EDt znak \u201E#\u201C pro parametry maker",MisplacedMiddle:"%1 mus\u00ED b\u00FDt uvnit\u0159 \\left a \\right",MisplacedLimits:"%1 je dovoleno pouze u oper\u00E1tor\u016F",MisplacedMoveRoot:"%1 se m\u016F\u017Ee vyskytnout pouze v ko\u0159eni",MultipleCommand:"V\u00EDcen\u00E1sobn\u00FD %1",IntegerArg:"Argumentem %1 mus\u00ED b\u00FDt cel\u00E9 \u010D\u00EDslo",NotMathMLToken:"%1 nen\u00ED primitivn\u00ED element",InvalidMathMLAttr:"Neplatn\u00FD atribut MathML: %1",UnknownAttrForElement:"%1 nen\u00ED zn\u00E1m\u00FD atribut %2",MaxMacroSub1:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED makra MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",MaxMacroSub2:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED MathJaxu; nen\u00ED tam rekurzivn\u00ED LaTexov\u00E9 prost\u0159ed\u00ED?",MissingArgFor:"Chyb\u00ED argument pro %1",ExtraAlignTab:"P\u0159ebyte\u010Dn\u00FD zarovn\u00E1vac\u00ED tabul\u00E1tor v textu \\cases",BracketMustBeDimension:"Z\u00E1vorkov\u00FD argument u %1 mus\u00ED b\u00FDt rozm\u011Br",InvalidEnv:"Neplatn\u00E9 jm\u00E9no prost\u0159ed\u00ED \u201E%1\u201C",UnknownEnv:"Nezn\u00E1m\u00E9 prost\u0159ed\u00ED \u201E%1\u201C",ExtraCloseLooking:"P\u0159ebyte\u010Dn\u00E1 zav\u00EDrac\u00ED hranat\u00E1 z\u00E1vorka, zat\u00EDmco bylo o\u010Dek\u00E1v\u00E1no %1",MissingCloseBracket:"U argumentu %1 nebyla nalezena zav\u00EDrac\u00ED \u201E]\u201C",MissingOrUnrecognizedDelim:"Chyb\u011Bj\u00EDc\u00ED nebo nerozpoznan\u00FD odd\u011Blova\u010D u %1",MissingDimOrUnits:"U %1 chyb\u00ED rozm\u011Br nebo jeho jednotka",TokenNotFoundForCommand:"Nenalezeno %1 k %2",MathNotTerminated:"V textov\u00E9m boxu nen\u00ED ukon\u010Dena matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parametr makra",MaxBufferSize:"P\u0159ekro\u010Dena velikost intern\u00ED pam\u011Bti MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",CommandNotAllowedInEnv:"V prost\u0159ed\u00ED %2 nen\u00ED dovolen %1",MultipleLabel:"V\u00EDcen\u00E1sobn\u00E1 definice n\u00E1v\u011Bst\u00ED %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED b\u00FDt um\u00EDst\u011Bno na za\u010D\u00E1tku \u0159\u00E1dky",IllegalAlign:"U %1 uvedeno neplatn\u00E9 zarovn\u00E1n\u00ED",BadMathStyleFor:"Chybn\u00FD styl matematiky u %1",PositiveIntegerArg:"Argumentem %1 mus\u00ED b\u00FDt kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zano\u0159ov\u00E1n\u00ED struktury rovnic",MultlineRowsOneCol:"\u0158\u00E1dky v prost\u0159ed\u00ED %1 mus\u00ED m\u00EDt pr\u00E1v\u011B jeden sloupec",MultipleBBoxProperty:"U %2 je %1 uvedeno dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevypad\u00E1 jako barva, rozm\u011Br paddingu nebo styl",ExtraEndMissingBegin:"P\u0159eb\u00FDvaj\u00EDc\u00ED %1 nebo chyb\u011Bj\u00EDc\u00ED \\begingroup",GlobalNotFollowedBy:"Za %1 chyb\u00ED \\let, \\def nebo \\newcommand",UndefinedColorModel:"Barevn\u00FD model \u201E%1\u201C nen\u00ED definov\u00E1n",ModelArg1:"Barevn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00ED t\u0159i \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desetinn\u00E9 \u010D\u00EDslo",ModelArg2:"Barevn\u00E9 hodnoty modelu %1 mus\u00ED le\u017Eet mezi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prvn\u00EDm argumentem %1 mus\u00ED b\u00FDt n\u00E1zev \u0159\u00EDdic\u00ED sekvence",NewextarrowArg2:"Druh\u00FDm argumentem %1 mus\u00ED b\u00FDt dv\u011B cel\u00E1 \u010D\u00EDsla odd\u011Blen\u00E1 \u010D\u00E1rkou",NewextarrowArg3:"T\u0159et\u00EDm argumentem %1 mus\u00ED b\u00FDt \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nelze naj\u00EDt zav\u00EDrac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zev \u0159\u00EDdic\u00ED sekvence u %1",IllegalParamNumber:"U %1 uveden neplatn\u00FD po\u010Det parametr\u016F",MissingCS:"Za %1 mus\u00ED b\u00FDt \u0159\u00EDdic\u00ED sekvence",CantUseHash2:"Chybn\u00E9 u\u017Eit\u00ED # v \u0161ablon\u011B pro %1",SequentialParam:"Parametry %1 mus\u00ED b\u00FDt \u010D\u00EDslov\u00E1ny postupn\u011B",MissingReplacementString:"V definici %1 chyb\u00ED nahrazuj\u00EDc\u00ED \u0159et\u011Bzec",MismatchUseDef:"Pou\u017Eit\u00ED %1 neodpov\u00EDd\u00E1 jeho definici",RunawayArgument:"Zbloudil\u00FD argument u %1?",NoClosingDelim:"Nenalezen ukon\u010Dovac\u00ED znak u %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/TeX.js");
diff --git a/localization/cs/cs.js b/localization/cs/cs.js
index 6b4818feb..88027757a 100644
--- a/localization/cs/cs.js
+++ b/localization/cs/cs.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs",null,{menuTitle:"\u010Desky",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{MathProcessingError:"Chyba zpracov\u00E1n\u00ED matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDt\u00E1 se %1",Loading:"Na\u010D\u00EDt\u00E1 se",LoadFailed:"Nepoda\u0159ilo se na\u010D\u00EDst soubor: %1",ProcessMath:"Zpracov\u00E1v\u00E1 se matematika: %1 %%",Processing:"Zpracov\u00E1v\u00E1 se",TypesetMath:"S\u00E1z\u00ED se matematika: %1 %%",Typesetting:"S\u00E1z\u00ED se",MathJaxNotSupported:"V\u00E1\u0161 prohl\u00ED\u017Ee\u010D nepodporuje MathJax",CookieConfig:"MathJax nalezl cookie u\u017Eivatelsk\u00E9 konfigurace obsahuj\u00EDc\u00ED spustiteln\u00FD k\u00F3d. Chcete ho spustit?\n\n(Pokud jste cookie nenastavili sami, m\u011Bli byste stisknout Storno.)"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(2<=a&&a<=4){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/cs.js");
+MathJax.Localization.addTranslation("cs",null,{menuTitle:"\u010De\u0161tina",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax nalezl cookie u\u017Eivatelsk\u00E9 konfigurace obsahuj\u00EDc\u00ED spustiteln\u00FD k\u00F3d. Chcete ho spustit?\n\n(Pokud jste cookie nenastavili sami, m\u011Bli byste stisknout Storno.)",MathProcessingError:"Chyba zpracov\u00E1n\u00ED matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDt\u00E1 se %1",Loading:"Na\u010D\u00EDt\u00E1 se",LoadFailed:"Nepoda\u0159ilo se na\u010D\u00EDst soubor: %1",ProcessMath:"Zpracov\u00E1v\u00E1 se matematika: %1 %%",Processing:"Zpracov\u00E1v\u00E1 se",TypesetMath:"S\u00E1z\u00ED se matematika: %1 %%",Typesetting:"S\u00E1z\u00ED se",MathJaxNotSupported:"V\u00E1\u0161 prohl\u00ED\u017Ee\u010D nepodporuje MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2||a===3||a===4){return 2}return 3},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/cs.js");
diff --git a/localization/da/FontWarnings.js b/localization/da/FontWarnings.js
index b4267d8f3..b9723a184 100644
--- a/localization/da/FontWarnings.js
+++ b/localization/da/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax bruger web-baserede skrifttyper til at vise det matematiske p\u00E5 denne side.  Dette tager tid at hente, s\u00E5 siden ville blive hurtigere, hvis du installerede matematiske skrifttyper direkte i dit systems skrifttypemappe.",STIXPage:"Denne side er designet til at bruge [STIX fonts](%1). Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax.",TeXPage:"Denne side er designet til at bruge [MathJax TeX fonts](%1).  Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax.",imageFonts:"MathJax bruger sine billedeskrifttyper snarere end lokale eller web-baserede skrifttyper. Dette vil g\u00F8re visningen langsommere end s\u00E6dvanligt, og matematik kan ikke udskrives med printerens fulde opl\u00F8sning.",noFonts:"MathJax er ikke i stand til at finde en skrifttype, som kan bruges til at vise matematikken, og billedeskrifttyper er ikke tilg\u00E6ngelige, s\u00E5 der faldes tilbage p\u00E5 generiske Unicode-tegn i h\u00E5b om, at din browser vil v\u00E6re i stand til at vise dem. Nogle tegn kan m\u00E5ske ikke vises korrekt, eller muligvis slet ikke.",webFonts:"De fleste moderne browsere giver mulighed for at hente skrifttyper over nettet. At opdatere til en nyere version af din browser (eller skifte browser) kunne forbedre kvaliteten af matematik p\u00E5 denne side.",fonts:"MathJax kan bruge enten [STIX fonts](%1) eller [MathJax TeX fonts](%2). Hent og installer en af disse skrifttyper for at forbedre din MathJax oplevelse."}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/FontWarnings.js");
+MathJax.Localization.addTranslation("da","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax bruger web-baserede skrifttyper til at vise det matematiske p\u00E5 denne side.  Dette tager tid at hente, s\u00E5 siden ville blive hurtigere, hvis du installerede matematiske skrifttyper direkte i dit systems skrifttypemappe.",imageFonts:"MathJax bruger sine billedeskrifttyper snarere end lokale eller web-baserede skrifttyper. Dette vil g\u00F8re visningen langsommere end s\u00E6dvanligt, og matematik kan ikke udskrives med printerens fulde opl\u00F8sning.",noFonts:"MathJax er ikke i stand til at finde en skrifttype, som kan bruges til at vise matematikken, og billedeskrifttyper er ikke tilg\u00E6ngelige, s\u00E5 der faldes tilbage p\u00E5 generiske Unicode-tegn i h\u00E5b om, at din browser vil v\u00E6re i stand til at vise dem. Nogle tegn kan m\u00E5ske ikke vises korrekt, eller muligvis slet ikke.",webFonts:"De fleste moderne browsere giver mulighed for at hente skrifttyper over nettet. At opdatere til en nyere version af din browser (eller skifte browser) kunne forbedre kvaliteten af matematik p\u00E5 denne side.",fonts:"MathJax kan bruge enten [STIX fonts](%1) eller [MathJax TeX fonts](%2). Hent og installer en af disse skrifttyper for at forbedre din MathJax oplevelse.",STIXPage:"Denne side er designet til at bruge [STIX fonts](%1). Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax.",TeXPage:"Denne side er designet til at bruge [MathJax TeX fonts](%1).  Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/FontWarnings.js");
diff --git a/localization/da/HTML-CSS.js b/localization/da/HTML-CSS.js
index 7b6009a5e..417b023d7 100644
--- a/localization/da/HTML-CSS.js
+++ b/localization/da/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Indl\u00E6ser webskrifftype %1",CantLoadWebFont:"Kan ikke indl\u00E6se webskrifttype %1",FirefoxCantLoadWebFont:"Firefox kan ikke indl\u00E6se webskrifttyper fra en fjernstyret v\u00E6rt",CantFindFontUsing:"Kunne ikke finde en gyldig skrifttype ved hj\u00E6lp af %1",WebFontsNotAvailable:"Webskrifttyper er ikke tilg\u00E6ngelig. Brug billede skrifttyper i stedet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HTML-CSS.js");
+MathJax.Localization.addTranslation("da","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Indl\u00E6ser webskrifftype %1",CantLoadWebFont:"Kan ikke indl\u00E6se webskrifttype %1",FirefoxCantLoadWebFont:"Firefox kan ikke indl\u00E6se webskrifttyper fra en fjernstyret v\u00E6rt",CantFindFontUsing:"Kunne ikke finde en gyldig skrifttype ved hj\u00E6lp af %1",WebFontsNotAvailable:"Webskrifttyper er ikke tilg\u00E6ngelig. Brug billede skrifttyper i stedet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HTML-CSS.js");
diff --git a/localization/da/HelpDialog.js b/localization/da/HelpDialog.js
index 2b32062bc..05c6dbb8d 100644
--- a/localization/da/HelpDialog.js
+++ b/localization/da/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"MathJax hj\u00E6lp",MathJax:"*MathJax* er et JavaScript-bibliotek, der giver mulighed for forfattere af sider kan inkludere matematik i deres websider. Som l\u00E6ser beh\u00F8ver du ikke at g\u00F8re noget for at f\u00E5 det til at virke.",Browsers:"*Browsere*: MathJax virker p\u00E5 alle moderne browsere inklusiv IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ og de fleste mobile browsere.",Menu:"*Matematikmenu*: MathJax tilf\u00F8jer en genvejsmenu til ligninger. H\u00F8jreklik eller Ctrl-klik p\u00E5 matematikken for at f\u00E5 adgang til menuen.",ShowMath:"*Vis matematik som* giver dig mulighed for at se formelens kilde markup s\u00E5 du kan kopierer og inds\u00E6tte andre steder (som MathML eller i dens oprindelige format).",Settings:"*Indstillinger* giver dig kontrol over funktioner i MathJax, s\u00E5som st\u00F8rrelsen af matematikken, og den mekanisme, der bruges til at vise ligninger.",Language:"*Sprog* lader dig v\u00E6lge det sprog MathJax bruger i sine menuer og advarselsmeddelelser.",Zoom:"*Matematik zoom*: Hvis du har sv\u00E6rt ved at l\u00E6se en ligning, kan MathJax forst\u00F8rre den for at hj\u00E6lpe dig med at se den bedre.",Accessibilty:"*Tilg\u00E6ngelighed*: MathJax vil automatisk arbejde med sk\u00E6rml\u00E6sere for at g\u00F8re matematik tilg\u00E6ngeligt for synsh\u00E6mmede.",Fonts:"*Skrifttyper*: MathJax vil bruge visse matematiske skrifttyper, hvis de er installeret p\u00E5 computeren. ellers vil det bruge web-baserede skrifttyper. Selvom det ikke er p\u00E5kr\u00E6vet, vil lokalt installerede skrifttyper fremskynde ops\u00E6tningen. Vi foresl\u00E5r at installere [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HelpDialog.js");
+MathJax.Localization.addTranslation("da","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"MathJax hj\u00E6lp",MathJax:"*MathJax* er et JavaScript-bibliotek, der giver mulighed for forfattere af sider kan inkludere matematik i deres websider. Som l\u00E6ser beh\u00F8ver du ikke at g\u00F8re noget for at f\u00E5 det til at virke.",Browsers:"*Browsere*: MathJax virker p\u00E5 alle moderne browsere inklusiv IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ og de fleste mobile browsere.",Menu:"*Matematikmenu*: MathJax tilf\u00F8jer en genvejsmenu til ligninger. H\u00F8jreklik eller Ctrl-klik p\u00E5 matematikken for at f\u00E5 adgang til menuen.",ShowMath:"*Vis matematik som* giver dig mulighed for at se formelens kilde markup s\u00E5 du kan kopierer og inds\u00E6tte andre steder (som MathML eller i dens oprindelige format).",Settings:"*Indstillinger* giver dig kontrol over funktioner i MathJax, s\u00E5som st\u00F8rrelsen af matematikken, og den mekanisme, der bruges til at vise ligninger.",Language:"*Sprog* lader dig v\u00E6lge det sprog MathJax bruger i sine menuer og advarselsmeddelelser.",Zoom:"*Matematik zoom*: Hvis du har sv\u00E6rt ved at l\u00E6se en ligning, kan MathJax forst\u00F8rre den for at hj\u00E6lpe dig med at se den bedre.",Accessibilty:"*Tilg\u00E6ngelighed*: MathJax vil automatisk arbejde med sk\u00E6rml\u00E6sere for at g\u00F8re matematik tilg\u00E6ngeligt for synsh\u00E6mmede.",Fonts:"*Skrifttyper*: MathJax vil bruge visse matematiske skrifttyper, hvis de er installeret p\u00E5 computeren. ellers vil det bruge web-baserede skrifttyper. Selvom det ikke er p\u00E5kr\u00E6vet, vil lokalt installerede skrifttyper fremskynde ops\u00E6tningen. Vi foresl\u00E5r at installere [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HelpDialog.js");
diff --git a/localization/da/MathML.js b/localization/da/MathML.js
index 40d241d98..b616bb0d5 100644
--- a/localization/da/MathML.js
+++ b/localization/da/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"D\u00E5rlig mglyph: %1",BadMglyphFont:"D\u00E5rlig skrifttype: %1",MathPlayer:"MathJax var ikke i stand til at konfigurere MathPlayer.\n\nHvis MathPlayer ikke er installeret, skal du installere det f\u00F8rst.\nEllers, kan dine sikkerhedsindstillinger forhindrer ActiveX\nkontrolelementer i at k\u00F8re. Bruge dine Internetindstillinger under\ni menuen Funktioner og v\u00E6lg fanen Sikkerhed, og tryk derefter p\u00E5\nknappen Brugerdefineret niveau. Kontroller, at indstillingerne for\n'K\u00F8r ActiveX-objekter' og 'bin\u00E6r- og script-opf\u00F8rsel' er aktiveret.\n\nI \u00F8jeblikket vil du se fejlmeddelelser i stedet for\nformateret matematik",CantCreateXMLParser:"MathJax kan ikke oprette en XML-parser til MathML. Kontroller, at\n'Script ActiveX-objekter markeret sikre til scripting' sikkerhed\ner aktiveret (bruge elementet Internetindstillinger i menuen \nv\u00E6rkt\u00F8jer, og v\u00E6lg sikkerhedspanel, tryk derefter p\u00E5 \nBrugerdefineret niveau knappen for at unders\u00F8ge det).\n\nMathML ligninger vil ikke kunne behandles af MathJax",UnknownNodeType:"Ukendt nodetype: %1",UnexpectedTextNode:"Uventet tekst node: %1",ErrorParsingMathML:"Fejl under parsing af MathML",ParsingError:"Fejl under parsing af MathML: %1",MathMLSingleElement:"MathML skal v\u00E6re dannet af en enkelt element",MathMLRootElement:"MathML skal v\u00E6re dannet af et \u003Cmath\u003E element, ikke %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathML.js");
+MathJax.Localization.addTranslation("da","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"D\u00E5rlig mglyph: %1",BadMglyphFont:"D\u00E5rlig skrifttype: %1",MathPlayer:"MathJax var ikke i stand til at konfigurere MathPlayer.\n\nHvis MathPlayer ikke er installeret, skal du installere det f\u00F8rst.\nEllers, kan dine sikkerhedsindstillinger forhindrer ActiveX\nkontrolelementer i at k\u00F8re. Bruge dine Internetindstillinger under\ni menuen Funktioner og v\u00E6lg fanen Sikkerhed, og tryk derefter p\u00E5\nknappen Brugerdefineret niveau. Kontroller, at indstillingerne for\n'K\u00F8r ActiveX-objekter' og 'bin\u00E6r- og script-opf\u00F8rsel' er aktiveret.\n\nI \u00F8jeblikket vil du se fejlmeddelelser i stedet for\nformateret matematik",CantCreateXMLParser:"MathJax kan ikke oprette en XML-parser til MathML. Kontroller, at\n'Script ActiveX-objekter markeret sikre til scripting' sikkerhed\ner aktiveret (bruge elementet Internetindstillinger i menuen \nv\u00E6rkt\u00F8jer, og v\u00E6lg sikkerhedspanel, tryk derefter p\u00E5 \nBrugerdefineret niveau knappen for at unders\u00F8ge det).\n\nMathML ligninger vil ikke kunne behandles af MathJax",UnknownNodeType:"Ukendt nodetype: %1",UnexpectedTextNode:"Uventet tekst node: %1",ErrorParsingMathML:"Fejl under parsing af MathML",ParsingError:"Fejl under parsing af MathML: %1",MathMLSingleElement:"MathML skal v\u00E6re dannet af en enkelt element",MathMLRootElement:"MathML skal v\u00E6re dannet af et \u003Cmath\u003E element, ikke %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathML.js");
diff --git a/localization/da/MathMenu.js b/localization/da/MathMenu.js
index 9d0b43bcd..098a31b22 100644
--- a/localization/da/MathMenu.js
+++ b/localization/da/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Vis matematik som",MathMLcode:"MathML kode",OriginalMathML:"Oprindelige MathML",TeXCommands:"TeX kommandoer",AsciiMathInput:"AsciiMathML input",Original:"Oprindelige format",ErrorMessage:"Fejlmeddelelse",Annotation:"Anm\u00E6rkning",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Vis TeX hints i MathML",Settings:"Matematikindstillinger",ZoomTrigger:"Zoom udl\u00F8ser",Hover:"Hover",Click:"Klik",DoubleClick:"Dobbeltklik",NoZoom:"Ingen zoom",TriggerRequires:"Udl\u00F8ser kr\u00E6ver:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Zoomfaktor",Renderer:"Matematik renderer",MPHandles:"Lad MathPlayer h\u00E5ndtere:",MenuEvents:"Menubegivenheder",MouseEvents:"Musebegivenheder",MenuAndMouse:"Muse- og menu-begivenheder",FontPrefs:"Skrifttype indstillinger",ForHTMLCSS:"For HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (web)",TeXImage:"TeX (billede)",STIXLocal:"STIX (lokal)",ContextMenu:"Kontekstuelle menu",Browser:"Browser",Scale:"Skaler alt matematik...",Discoverable:"Fremh\u00E6v ved hover",Locale:"Sprog",LoadLocale:"Indl\u00E6ser fra URL...",About:"Om MathJax",Help:"MathJax hj\u00E6lp",localTeXfonts:"ved hj\u00E6lp af lokale TeX skrifttyper",webTeXfonts:"ved hj\u00E6lp af TeX webskrifttyper",imagefonts:"ved hj\u00E6lp af billede skrifttyper",localSTIXfonts:"ved hj\u00E6lp af lokale STIX skrifttyper",webSVGfonts:"ved hj\u00E6lp af web SVG skrifttyper",genericfonts:"ved hj\u00E6lp af generiske Unicode-skrifttyper",wofforotffonts:"WOFF eller OTF skrifttyper",eotffonts:"EOT skrifttyper",svgfonts:"SVG skrifttyper",WebkitNativeMMLWarning:"Din browser synes ikke at have indbygget st\u00F8tte til MathML, s\u00E5 et skift til MathML output kan for\u00E5rsage at matematik p\u00E5 siden bliver ul\u00E6selig",MSIENativeMMLWarning:"Internet Explorer kr\u00E6ver MathPlayer plugin for at kunne behandle MathML output.",OperaNativeMMLWarning:"Operas underst\u00F8ttelse af MathML er begr\u00E6nset, s\u00E5 et skift til MathML output kan for\u00E5rsage at nogle udtryk bliver vist d\u00E5rligt.",SafariNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke alle de funktioner, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",FirefoxNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke alle de funktioner, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",MSIESVGWarning:"SVG er ikke implementeret i Internet Explorer f\u00F8r IE9 eller n\u00E5r der emuleres IE8 eller nedefter. Et skifte til SVG-output vil for\u00E5rsage at matematik ikke vises korrekt.",LoadURL:"Indl\u00E6s overs\u00E6ttelsesdata fra denne URL:",BadURL:"URL-adressen skal v\u00E6re for en JavaScript-fil, der definerer MathJax overs\u00E6ttelsesdata. JavaScript filnavne skal afsluttes med '.js'",BadData:"Kunne ikke indl\u00E6se overs\u00E6ttelsesdata fra %1",SwitchAnyway:"Skift renderer alligevel?\n\n(Tryk p\u00E5 OK for at skifte, ANNULLER for at forts\u00E6tte med den nuv\u00E6rende renderer)",ScaleMath:"Skal\u00E9r alt matematik (sammenlignet med omgivende tekst) med",NonZeroScale:"Skaleringen m\u00E5 ikke v\u00E6re nul",PercentScale:"Skaleringen skal v\u00E6re en procentsats (for eksempel 120%%)",IE8warning:"Dette vil deaktivere MathJax funktionerne menu og zoom, men du kan ogs\u00E5 Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax menuen i stedet.\n\nVil du virkelig \u00E6ndre indstillingerne for MathPlayer?",IE9warning:"Den kontekstuelle MathJax menu vil blive deaktiveret, men du kan Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax menuen i stedet.",NoOriginalForm:"Ingen oprindelig form, til r\u00E5dighed",Close:"Luk",EqSource:"MathJax ligningskilde"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathMenu.js");
+MathJax.Localization.addTranslation("da","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Vis matematik som",MathMLcode:"MathML kode",OriginalMathML:"Oprindelige MathML",TeXCommands:"TeX kommandoer",AsciiMathInput:"AsciiMathML input",Original:"Oprindelige format",ErrorMessage:"Fejlmeddelelse",Annotation:"Anm\u00E6rkning",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Vis TeX hints i MathML",Settings:"Matematikindstillinger",ZoomTrigger:"Zoom udl\u00F8ser",Hover:"Hover",Click:"Klik",DoubleClick:"Dobbeltklik",NoZoom:"Ingen zoom",TriggerRequires:"Udl\u00F8ser kr\u00E6ver:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Zoomfaktor",Renderer:"Matematik renderer",MPHandles:"Lad MathPlayer h\u00E5ndtere:",MenuEvents:"Menubegivenheder",MouseEvents:"Musebegivenheder",MenuAndMouse:"Muse- og menu-begivenheder",FontPrefs:"Skrifttype indstillinger",ForHTMLCSS:"For HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (web)",TeXImage:"TeX (billede)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontekstuelle menu",Browser:"Browser",Scale:"Skaler alt matematik...",Discoverable:"Fremh\u00E6v ved hover",Locale:"Sprog",LoadLocale:"Indl\u00E6ser fra URL...",About:"Om MathJax",Help:"MathJax hj\u00E6lp",localTeXfonts:"ved hj\u00E6lp af lokale TeX skrifttyper",webTeXfonts:"ved hj\u00E6lp af TeX webskrifttyper",imagefonts:"ved hj\u00E6lp af billede skrifttyper",localSTIXfonts:"ved hj\u00E6lp af lokale STIX skrifttyper",webSVGfonts:"ved hj\u00E6lp af web SVG skrifttyper",genericfonts:"ved hj\u00E6lp af generiske Unicode-skrifttyper",wofforotffonts:"WOFF eller OTF skrifttyper",eotffonts:"EOT skrifttyper",svgfonts:"SVG skrifttyper",WebkitNativeMMLWarning:"Din browser synes ikke at have indbygget st\u00F8tte til MathML, s\u00E5 et skift til MathML output kan for\u00E5rsage at matematik p\u00E5 siden bliver ul\u00E6selig",MSIENativeMMLWarning:"Internet Explorer kr\u00E6ver MathPlayer plugin for at kunne behandle MathML output.",OperaNativeMMLWarning:"Operas underst\u00F8ttelse af MathML er begr\u00E6nset, s\u00E5 et skift til MathML output kan for\u00E5rsage at nogle udtryk bliver vist d\u00E5rligt.",SafariNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke alle de funktioner, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",FirefoxNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke alle de funktioner, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",MSIESVGWarning:"SVG er ikke implementeret i Internet Explorer f\u00F8r IE9 eller n\u00E5r der emuleres IE8 eller nedefter. Et skifte til SVG-output vil for\u00E5rsage at matematik ikke vises korrekt.",LoadURL:"Indl\u00E6s overs\u00E6ttelsesdata fra denne URL:",BadURL:"URL-adressen skal v\u00E6re for en JavaScript-fil, der definerer MathJax overs\u00E6ttelsesdata. JavaScript filnavne skal afsluttes med '.js'",BadData:"Kunne ikke indl\u00E6se overs\u00E6ttelsesdata fra %1",SwitchAnyway:"Skift renderer alligevel?\n\n(Tryk p\u00E5 OK for at skifte, ANNULLER for at forts\u00E6tte med den nuv\u00E6rende renderer)",ScaleMath:"Skal\u00E9r alt matematik (sammenlignet med omgivende tekst) med",NonZeroScale:"Skaleringen m\u00E5 ikke v\u00E6re nul",PercentScale:"Skaleringen skal v\u00E6re en procentsats (for eksempel 120%%)",IE8warning:"Dette vil deaktivere MathJax funktionerne menu og zoom, men du kan ogs\u00E5 Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax menuen i stedet.\n\nVil du virkelig \u00E6ndre indstillingerne for MathPlayer?",IE9warning:"Den kontekstuelle MathJax menu vil blive deaktiveret, men du kan Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax menuen i stedet.",NoOriginalForm:"Ingen oprindelig form, til r\u00E5dighed",Close:"Luk",EqSource:"MathJax ligningskilde"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathMenu.js");
diff --git a/localization/da/TeX.js b/localization/da/TeX.js
index ae39e370d..1e7e2d7dd 100644
--- a/localization/da/TeX.js
+++ b/localization/da/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Ekstra venstreklammeparentes eller manglende h\u00F8jreklammeparentes",ExtraCloseMissingOpen:"Ekstra h\u00F8jreklammeparentes eller manglende venstreklammeparentes",MissingLeftExtraRight:"Manglende \\left eller ekstra \\right",MissingScript:"Manglende h\u00E6vet skrift eller s\u00E6nket skrift argument",ExtraLeftMissingRight:"Ekstra \\left eller manglende \\right",Misplaced:"Malplaceret %1",MissingOpenForSub:"Manglende venstreklammeparentes til s\u00E6nket skrift",MissingOpenForSup:"Manglende venstreklammeparentes til h\u00E6vet skrift",AmbiguousUseOf:"Flertydig brug af %1",EnvBadEnd:"\\begin{%1} sluttede med \\end{%2}",EnvMissingEnd:"Manglende \\end{%1}",MissingCloseBrace:"Manglende h\u00F8jreklammeparentes",UndefinedControlSequence:"Udefineret kontrolsekvens %1",DoubleExponent:"Dobbelt eksponent: brug klammeparenteser til at tydeligg\u00F8re",DoubleSubscripts:"Dobbelt s\u00E6nket skrift: brug klammeparenteser til at tydeligg\u00F8re",DoubleExponentPrime:"M\u00E6rke for\u00E5rsager dobbelt eksponent: bruge klammeparenteser til at tydeligg\u00F8re",CantUseHash1:"Du kan ikke bruge 'makro parameter tegnet #' i matematik tilstand",MisplacedMiddle:"%1 skal v\u00E6re inden for \\left og \\right",MisplacedLimits:"%1 er kun tilladt p\u00E5 operatorer",MisplacedMoveRoot:"%1 kan kun v\u00E6re indenfor en root",MultipleCommand:"For mange %1",IntegerArg:"Argumentet til %1 skal v\u00E6re et heltal",NotMathMLToken:"%1 er ikke et token element",InvalidMathMLAttr:"Ugyldig MathML attribut: %1",UnknownAttrForElement:"%1 er ikke en genkendt attribut for %2",MaxMacroSub1:"Det maksimale antal makro substitutioner i MathJax er overskredet; er der et rekursivt makrokald?",MaxMacroSub2:"Det maksimale antal substitutioner i MathJax er overskredet; er der et rekursivt latex milj\u00F8?",MissingArgFor:"Manglende argument til %1",ExtraAlignTab:"For mange \u0026 i \\cases tekst",BracketMustBeDimension:"Klammeargument til %1 skal v\u00E6re en dimension",InvalidEnv:"Ugyldigt navn '%1'",UnknownEnv:"Ukendt navn '%1'",ExtraCloseLooking:"Ekstra h\u00F8jreklammeparentes under s\u00F8gning efter %1",MissingCloseBracket:"Kunne ikke finde det afsluttende ']' argument til %1",MissingOrUnrecognizedDelim:"Manglende eller ukendt skilletegn for %1",MissingDimOrUnits:"Manglende dimension eller enheder for %1",TokenNotFoundForCommand:"Kunne ikke finde %1 for %2",MathNotTerminated:"Matematik ikke afsluttet i tekstfeltet",IllegalMacroParam:"Ulovlig makro parameter reference",MaxBufferSize:"Intern bufferst\u00F8rrelse for MathJax er overskredet; er der et rekursivt makrokald?",CommandNotAllowedInEnv:"%1 er ikke tilladt i milj\u00F8et %2",MultipleLabel:"Etiketten '%1' er defineret flere gange",CommandAtTheBeginingOfLine:"%1 skal v\u00E6re i begyndelsen af linjen",IllegalAlign:"Ulovlig justering angivet i %1",BadMathStyleFor:"D\u00E5rlig matematik stil for %1",PositiveIntegerArg:"Argumentet til %1 skal v\u00E6re et positivt heltal",ErroneousNestingEq:"Fejlagtig indlejring af ligningsstrukturer",MultlineRowsOneCol:"R\u00E6kker indenfor milj\u00F8et %1 skal have pr\u00E6cis \u00E9n kolonne",MultipleBBoxProperty:"%1 angivet to gange i %2",InvalidBBoxProperty:"'%1' ligner ikke en farve, en padding dimension eller en stil",ExtraEndMissingBegin:"Ekstra %1 eller manglende \\begingroup",GlobalNotFollowedBy:"%1 ikke efterfulgt af \\let, \\def eller \\newcommand",UndefinedColorModel:"Farvemodel '%1' ikke defineret",ModelArg1:"Farvev\u00E6rdier for modellen %1 kr\u00E6ver 3 tal",InvalidDecimalNumber:"Ugyldigt decimaltal",ModelArg2:"Farvev\u00E6rdier for modellen %1 skal v\u00E6re mellem %2 og %3",InvalidNumber:"Ugyldigt tal",NewextarrowArg1:"F\u00F8rste argument til %1 skal v\u00E6re navnet p\u00E5 en kontrol sekvens",NewextarrowArg2:"Andet argument til %1 skal v\u00E6re to heltal adskilt af et komma",NewextarrowArg3:"Tredje argument til %1 skal v\u00E6re nummeret p\u00E5 et Unicode-tegn",NoClosingChar:"Kan ikke finde den afsluttende %1",IllegalControlSequenceName:"Ulovligt kontrol sekvens navn for %1",IllegalParamNumber:"Ulovligt antal parametre angivet i %1",MissingCS:"%1 skal efterf\u00F8lges af en kontrolsekvens",CantUseHash2:"Ulovlig brug af # i skabelon for %1",SequentialParam:"Parametre for %1 skal v\u00E6re nummereret fortl\u00F8bende",MissingReplacementString:"Manglende erstatningsstreng til definition af %1",MismatchUseDef:"Brug af %1 stemmer ikke overens med dens definition",RunawayArgument:"L\u00F8bsk argument for %1?",NoClosingDelim:"Kan ikke finde afsluttende skilletegn for %1",MissingBoxFor:"Manglende boks for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/TeX.js");
+MathJax.Localization.addTranslation("da","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Ekstra venstreklammeparentes eller manglende h\u00F8jreklammeparentes",ExtraCloseMissingOpen:"Ekstra h\u00F8jreklammeparentes eller manglende venstreklammeparentes",MissingLeftExtraRight:"Manglende \\left eller ekstra \\right",MissingScript:"Manglende h\u00E6vet skrift eller s\u00E6nket skrift argument",ExtraLeftMissingRight:"Ekstra \\left eller manglende \\right",Misplaced:"Malplaceret %1",MissingOpenForSub:"Manglende venstreklammeparentes til s\u00E6nket skrift",MissingOpenForSup:"Manglende venstreklammeparentes til h\u00E6vet skrift",AmbiguousUseOf:"Flertydig brug af %1",EnvBadEnd:"\\begin{%1} sluttede med \\end{%2}",EnvMissingEnd:"Manglende \\end{%1}",MissingBoxFor:"Manglende boks for %1",MissingCloseBrace:"Manglende h\u00F8jreklammeparentes",UndefinedControlSequence:"Udefineret kontrolsekvens %1",DoubleExponent:"Dobbelt eksponent: brug klammeparenteser til at tydeligg\u00F8re",DoubleSubscripts:"Dobbelt s\u00E6nket skrift: brug klammeparenteser til at tydeligg\u00F8re",DoubleExponentPrime:"M\u00E6rke for\u00E5rsager dobbelt eksponent: bruge klammeparenteser til at tydeligg\u00F8re",CantUseHash1:"Du kan ikke bruge 'makro parameter tegnet #' i matematik tilstand",MisplacedMiddle:"%1 skal v\u00E6re inden for \\left og \\right",MisplacedLimits:"%1 er kun tilladt p\u00E5 operatorer",MisplacedMoveRoot:"%1 kan kun v\u00E6re indenfor en root",MultipleCommand:"For mange %1",IntegerArg:"Argumentet til %1 skal v\u00E6re et heltal",NotMathMLToken:"%1 er ikke et token element",InvalidMathMLAttr:"Ugyldig MathML attribut: %1",UnknownAttrForElement:"%1 er ikke en genkendt attribut for %2",MaxMacroSub1:"Det maksimale antal makro substitutioner i MathJax er overskredet; er der et rekursivt makrokald?",MaxMacroSub2:"Det maksimale antal substitutioner i MathJax er overskredet; er der et rekursivt latex milj\u00F8?",MissingArgFor:"Manglende argument til %1",ExtraAlignTab:"For mange \u0026 i \\cases tekst",BracketMustBeDimension:"Klammeargument til %1 skal v\u00E6re en dimension",InvalidEnv:"Ugyldigt navn '%1'",UnknownEnv:"Ukendt navn '%1'",ExtraCloseLooking:"Ekstra h\u00F8jreklammeparentes under s\u00F8gning efter %1",MissingCloseBracket:"Kunne ikke finde det afsluttende ']' argument til %1",MissingOrUnrecognizedDelim:"Manglende eller ukendt skilletegn for %1",MissingDimOrUnits:"Manglende dimension eller enheder for %1",TokenNotFoundForCommand:"Kunne ikke finde %1 for %2",MathNotTerminated:"Matematik ikke afsluttet i tekstfeltet",IllegalMacroParam:"Ulovlig makro parameter reference",MaxBufferSize:"Intern bufferst\u00F8rrelse for MathJax er overskredet; er der et rekursivt makrokald?",CommandNotAllowedInEnv:"%1 er ikke tilladt i milj\u00F8et %2",MultipleLabel:"Etiketten '%1' er defineret flere gange",CommandAtTheBeginingOfLine:"%1 skal v\u00E6re i begyndelsen af linjen",IllegalAlign:"Ulovlig justering angivet i %1",BadMathStyleFor:"D\u00E5rlig matematik stil for %1",PositiveIntegerArg:"Argumentet til %1 skal v\u00E6re et positivt heltal",ErroneousNestingEq:"Fejlagtig indlejring af ligningsstrukturer",MultlineRowsOneCol:"R\u00E6kker indenfor milj\u00F8et %1 skal have pr\u00E6cis \u00E9n kolonne",MultipleBBoxProperty:"%1 angivet to gange i %2",InvalidBBoxProperty:"'%1' ligner ikke en farve, en padding dimension eller en stil",ExtraEndMissingBegin:"Ekstra %1 eller manglende \\begingroup",GlobalNotFollowedBy:"%1 ikke efterfulgt af \\let, \\def eller \\newcommand",UndefinedColorModel:"Farvemodel '%1' ikke defineret",ModelArg1:"Farvev\u00E6rdier for modellen %1 kr\u00E6ver 3 tal",InvalidDecimalNumber:"Ugyldigt decimaltal",ModelArg2:"Farvev\u00E6rdier for modellen %1 skal v\u00E6re mellem %2 og %3",InvalidNumber:"Ugyldigt tal",NewextarrowArg1:"F\u00F8rste argument til %1 skal v\u00E6re navnet p\u00E5 en kontrol sekvens",NewextarrowArg2:"Andet argument til %1 skal v\u00E6re to heltal adskilt af et komma",NewextarrowArg3:"Tredje argument til %1 skal v\u00E6re nummeret p\u00E5 et Unicode-tegn",NoClosingChar:"Kan ikke finde den afsluttende %1",IllegalControlSequenceName:"Ulovligt kontrol sekvens navn for %1",IllegalParamNumber:"Ulovligt antal parametre angivet i %1",MissingCS:"%1 skal efterf\u00F8lges af en kontrolsekvens",CantUseHash2:"Ulovlig brug af # i skabelon for %1",SequentialParam:"Parametre for %1 skal v\u00E6re nummereret fortl\u00F8bende",MissingReplacementString:"Manglende erstatningsstreng til definition af %1",MismatchUseDef:"Brug af %1 stemmer ikke overens med dens definition",RunawayArgument:"L\u00F8bsk argument for %1?",NoClosingDelim:"Kan ikke finde afsluttende skilletegn for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/TeX.js");
diff --git a/localization/da/da.js b/localization/da/da.js
index 3af778e29..20630404c 100644
--- a/localization/da/da.js
+++ b/localization/da/da.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da",null,{menuTitle:"dansk",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax har fundet en cookie med brugerkonfiguration, der indeholder kode til at k\u00F8re. Vil du k\u00F8re det?\n\n(Du b\u00F8r trykke p\u00E5 Annuller, medmindre du oprettede cookien selv.)",MathProcessingError:"Fejl under bearbejdning af matematik",MathError:"Matematikfejl",LoadFile:"Indl\u00E6ser %1",Loading:"Indl\u00E6ser",LoadFailed:"Kunne ikke indl\u00E6se filen: %1",ProcessMath:"Bearbejder matematik: %1%%",Processing:"Bearbejder",TypesetMath:"Ops\u00E6tter matematik: %1%%",Typesetting:"Ops\u00E6tter",MathJaxNotSupported:"Din browser underst\u00F8tter ikke MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/da.js");
+MathJax.Localization.addTranslation("da",null,{menuTitle:"dansk",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax har fundet en cookie med brugerkonfiguration, der indeholder kode til at k\u00F8re. Vil du k\u00F8re det?\n\n(Du b\u00F8r trykke p\u00E5 Annuller, medmindre du oprettede cookien selv.)",MathProcessingError:"Fejl under bearbejdning af matematik",MathError:"Matematikfejl",LoadFile:"Indl\u00E6ser %1",Loading:"Indl\u00E6ser",LoadFailed:"Kunne ikke indl\u00E6se filen: %1",ProcessMath:"Bearbejder matematik: %1%%",Processing:"Bearbejder",TypesetMath:"Ops\u00E6tter matematik: %1%%",Typesetting:"Ops\u00E6tter",MathJaxNotSupported:"Din browser underst\u00F8tter ikke MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/da.js");
diff --git a/localization/de/FontWarnings.js b/localization/de/FontWarnings.js
index b69c4d495..6f03c4061 100644
--- a/localization/de/FontWarnings.js
+++ b/localization/de/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax nutz web-basierte Fonts zur Darstellung der Mathematik auf dieser Seite. Da diese heruntergeladen werden m\u00FCssen, l\u00E4dt die Seite schneller, wenn Mathe-Fonts auf dem System installiert sind.",imageFonts:"MathJax verwendet die Bildschriften anstatt der lokalen oder webbasierten Schriften. Das Rendern dauert l\u00E4nger als gew\u00F6hnlich und die Inhalte werden m\u00F6glicherweise nicht mit der vollen Aufl\u00F6sung deines Druckers ausgedruckt.",noFonts:"MathJax konnte keine Schriftart zur Anzeige der Inhalte finden und Bildschriften sind nicht verf\u00FCgbar. Es wird auf allgemeine Unicode-Zeichen zur\u00FCckgegriffen in der Hoffnung, dass dein Browser in der Lage ist, sie darzustellen. Einige Zeichen werden m\u00F6glicherweise nicht richtig oder gar nicht angezeigt.",webFonts:"Die meisten modernen Browser erlauben den Download von Schriften \u00FCber das Web. Eine Aktualisierung auf eine aktuellere Version deines Browsers (oder dessen Wechsel) kann die Qualit\u00E4t der Inhalte auf dieser Seite verbessern.",fonts:"MathJax kann entweder die [STIX-](%1) oder [MathJax-TeX-Schriften](%2) verwenden. Lade eine dieser Schriften herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",STIXPage:"Diese Seite wurde konzipiert, um die [STIX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",TeXPage:"Diese Seite wurde konzipiert, um die [MathJax-TeX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/FontWarnings.js");
+MathJax.Localization.addTranslation("de","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax nutz web-basierte Fonts zur Darstellung der Mathematik auf dieser Seite. Da diese heruntergeladen werden m\u00FCssen, l\u00E4dt die Seite schneller, wenn Mathe-Fonts auf dem System installiert sind.",imageFonts:"MathJax verwendet die Bildschriften anstatt der lokalen oder webbasierten Schriften. Das Rendern dauert l\u00E4nger als gew\u00F6hnlich und die Inhalte werden m\u00F6glicherweise nicht mit der vollen Aufl\u00F6sung deines Druckers ausgedruckt.",noFonts:"MathJax konnte keine Schriftart zur Anzeige der Inhalte finden und Bildschriften sind nicht verf\u00FCgbar. Es wird auf allgemeine Unicode-Zeichen zur\u00FCckgegriffen in der Hoffnung, dass dein Browser in der Lage ist, sie darzustellen. Einige Zeichen werden m\u00F6glicherweise nicht richtig oder gar nicht angezeigt.",webFonts:"Die meisten modernen Browser erlauben den Download von Schriften \u00FCber das Web. Eine Aktualisierung auf eine aktuellere Version deines Browsers (oder dessen Wechsel) kann die Qualit\u00E4t der Inhalte auf dieser Seite verbessern.",fonts:"MathJax kann entweder die [STIX-](%1) oder [MathJax-TeX-Schriften](%2) verwenden. Lade eine dieser Schriften herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",STIXPage:"Diese Seite wurde konzipiert, um die [STIX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",TeXPage:"Diese Seite wurde konzipiert, um die [MathJax-TeX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/FontWarnings.js");
diff --git a/localization/de/HTML-CSS.js b/localization/de/HTML-CSS.js
index fc2f78d67..fb43ecc39 100644
--- a/localization/de/HTML-CSS.js
+++ b/localization/de/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Lade Webfont %1",CantLoadWebFont:"Webschriftart %1 konnte nicht geladen werden",FirefoxCantLoadWebFont:"Firefox kann keine Webschriften von einem Remotehost laden",CantFindFontUsing:"Es konnte keine g\u00FCltige Schriftart aus %1 gefunden werden",WebFontsNotAvailable:"Webschriften sind nicht verf\u00FCgbar. Verwende stattdessen Bildschriften."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HTML-CSS.js");
+MathJax.Localization.addTranslation("de","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Lade Webfont %1",CantLoadWebFont:"Webschriftart %1 konnte nicht geladen werden",FirefoxCantLoadWebFont:"Firefox kann keine Webschriften von einem Remotehost laden",CantFindFontUsing:"Es konnte keine g\u00FCltige Schriftart aus %1 gefunden werden",WebFontsNotAvailable:"Webschriften sind nicht verf\u00FCgbar. Verwende stattdessen Bildschriften."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HTML-CSS.js");
diff --git a/localization/de/HelpDialog.js b/localization/de/HelpDialog.js
index 6b958c920..6d9c6e1e6 100644
--- a/localization/de/HelpDialog.js
+++ b/localization/de/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"MathJax Hilfe",MathJax:"*MathJax* ist eine JavaScript-Bibliothek, die es Seitenautoren erm\u00F6glicht, mathematische Inhalte in ihre Webseiten einzubinden. Als Leser muss du nichts unternehmen, um das zu erreichen.",Browsers:"*Browser*: MathJax funktioniert mit allen modernen Browsern inklusive Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ und den meisten mobilen Browsern.",Menu:"*Men\u00FC*: MathJax f\u00FCgt bei Gleichungen ein Kontextmen\u00FC hinzu. Um das Men\u00FC anzuzeigen, klicke mit der rechten Maustaste oder halte beim Klicken die Strg-Taste gedr\u00FCckt.",ShowMath:"*Inhalt zeigen als* erlaubt dir, das Formelquellenmarkup f\u00FCr Kopieren \u0026 Einf\u00FCgen anzusehen (als MathML oder im Originalformat).",Settings:"*Einstellungen* gibt dir die Kontrolle \u00FCber MathJax-Funktionen, wie die Inhaltsgr\u00F6\u00DFe und den verwendeten Mechanismus zum Anzeigen von Gleichungen.",Language:"*Sprache* l\u00E4sst dir die Sprache ausw\u00E4hlen, die von MathJax f\u00FCr die Men\u00FCs und Warnmeldungen verwendet wird.",Zoom:"*Zoom*: Wenn du beim Lesen einer Gleichung Schwierigkeiten hast, kann MathJax sie vergr\u00F6\u00DFern, damit du sie besser sehen kannst.",Accessibilty:"*Barrierefreiheit*: MathJax funktioniert automatisch mit Screenreadern, um die Inhalte f\u00FCr Sehbehinderte verf\u00FCgbar zu machen.",Fonts:"*Schriftarten*: MathJax verwendet bestimmte Schriften, wenn sie auf deinem Computer installiert sind. Anderenfalls werden webbasierte Schriften verwendet. Obwohl das nicht erforderlich ist, beschleunigen lokal installierte Schriften die Schriftsetzung. Wir empfehlen die Installation der [STIX-Schriften](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HelpDialog.js");
+MathJax.Localization.addTranslation("de","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"MathJax Hilfe",MathJax:"*MathJax* ist eine JavaScript-Bibliothek, die es Seitenautoren erm\u00F6glicht, mathematische Inhalte in ihre Webseiten einzubinden. Als Leser muss du nichts unternehmen, um das zu erreichen.",Browsers:"*Browser*: MathJax funktioniert mit allen modernen Browsern inklusive Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ und den meisten mobilen Browsern.",Menu:"*Men\u00FC*: MathJax f\u00FCgt bei Gleichungen ein Kontextmen\u00FC hinzu. Um das Men\u00FC anzuzeigen, klicke mit der rechten Maustaste oder halte beim Klicken die Strg-Taste gedr\u00FCckt.",ShowMath:"*Inhalt zeigen als* erlaubt dir, das Formelquellenmarkup f\u00FCr Kopieren \u0026 Einf\u00FCgen anzusehen (als MathML oder im Originalformat).",Settings:"*Einstellungen* gibt dir die Kontrolle \u00FCber MathJax-Funktionen, wie die Inhaltsgr\u00F6\u00DFe und den verwendeten Mechanismus zum Anzeigen von Gleichungen.",Language:"*Sprache* l\u00E4sst dir die Sprache ausw\u00E4hlen, die von MathJax f\u00FCr die Men\u00FCs und Warnmeldungen verwendet wird.",Zoom:"*Zoom*: Wenn du beim Lesen einer Gleichung Schwierigkeiten hast, kann MathJax sie vergr\u00F6\u00DFern, damit du sie besser sehen kannst.",Accessibilty:"*Barrierefreiheit*: MathJax funktioniert automatisch mit Screenreadern, um die Inhalte f\u00FCr Sehbehinderte verf\u00FCgbar zu machen.",Fonts:"*Schriftarten*: MathJax verwendet bestimmte Schriften, wenn sie auf deinem Computer installiert sind. Anderenfalls werden webbasierte Schriften verwendet. Obwohl das nicht erforderlich ist, beschleunigen lokal installierte Schriften die Schriftsetzung. Wir empfehlen die Installation der [STIX-Schriften](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HelpDialog.js");
diff --git a/localization/de/MathML.js b/localization/de/MathML.js
index a045941d5..c8057e061 100644
--- a/localization/de/MathML.js
+++ b/localization/de/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"Schlechter mglyph: %1",BadMglyphFont:"Ung\u00FCltige Schriftart: %1",MathPlayer:"MathJax konnte MathPlayer nicht einrichten.\n\nFalls MathPlayer nicht installiert ist, musst du ihn zuerst installieren.\nAnderenfalls verhindern deine Sicherheitseinstellungen, dass\nActiveX-Steuerelemente ausgef\u00FChrt werden k\u00F6nnen. Verwende die\nInternetoptionen unter dem Werkzeugmen\u00FC und w\u00E4hle die Registerkarte\n\u201ESicherheit\u201C. Klicke dann auf \u201EStufe anpassen\u201C. \u00DCberpr\u00FCfe, ob die\nEinstellungen f\u00FCr \u201EActiveX-Steuerelemente ausf\u00FChren\u201C und \u201EBin\u00E4r- und\nSkriptverhalten\u201C aktiviert sind.\n\nDerzeit wirst du Fehlermeldungen sehen anstatt gesetzte Inhalte.",CantCreateXMLParser:"MathJax konnte keinen XML-Parser f\u00FCr MathML erstellen.\n\u00DCberpr\u00FCfe, ob die Sicherheitseinstellung\n\u201EActiveX-Steuerelemente ausf\u00FChren, die f\u00FCr Skripting\nsicher sind\u201C aktiviert ist (verwende zur \u00DCberpr\u00FCfung\ndie Internetoptionen im Werkzeugmen\u00FC, w\u00E4hle die\nRegisterkarte \u201ESicherheit\u201C und klicke auf \u201EStufe\nanpassen\u201C).\n\nMathML-Gleichungen k\u00F6nnen von MathJax nicht\nverarbeitet werden.",UnknownNodeType:"Unbekannter Knotentyp: %1",UnexpectedTextNode:"Unerwarteter Textknoten: %1",ErrorParsingMathML:"Fehler beim Parsen von MathML",ParsingError:"Fehler beim Parsen von MathML: %1",MathMLSingleElement:"MathML muss von einem einzelnen Element gebildet werden",MathMLRootElement:"MathML muss von einem \u003Cmath\u003E-Element gebildet werden, nicht %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathML.js");
+MathJax.Localization.addTranslation("de","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Schlechter mglyph: %1",BadMglyphFont:"Ung\u00FCltige Schriftart: %1",MathPlayer:"MathJax konnte MathPlayer nicht einrichten.\n\nFalls MathPlayer nicht installiert ist, musst du ihn zuerst installieren.\nAnderenfalls verhindern deine Sicherheitseinstellungen, dass\nActiveX-Steuerelemente ausgef\u00FChrt werden k\u00F6nnen. Verwende die\nInternetoptionen unter dem Werkzeugmen\u00FC und w\u00E4hle die Registerkarte\n\u201ESicherheit\u201C. Klicke dann auf \u201EStufe anpassen\u201C. \u00DCberpr\u00FCfe, ob die\nEinstellungen f\u00FCr \u201EActiveX-Steuerelemente ausf\u00FChren\u201C und \u201EBin\u00E4r- und\nSkriptverhalten\u201C aktiviert sind.\n\nDerzeit wirst du Fehlermeldungen sehen anstatt gesetzte Inhalte.",CantCreateXMLParser:"MathJax konnte keinen XML-Parser f\u00FCr MathML erstellen.\n\u00DCberpr\u00FCfe, ob die Sicherheitseinstellung\n\u201EActiveX-Steuerelemente ausf\u00FChren, die f\u00FCr Skripting\nsicher sind\u201C aktiviert ist (verwende zur \u00DCberpr\u00FCfung\ndie Internetoptionen im Werkzeugmen\u00FC, w\u00E4hle die\nRegisterkarte \u201ESicherheit\u201C und klicke auf \u201EStufe\nanpassen\u201C).\n\nMathML-Gleichungen k\u00F6nnen von MathJax nicht\nverarbeitet werden.",UnknownNodeType:"Unbekannter Knotentyp: %1",UnexpectedTextNode:"Unerwarteter Textknoten: %1",ErrorParsingMathML:"Fehler beim Parsen von MathML",ParsingError:"Fehler beim Parsen von MathML: %1",MathMLSingleElement:"MathML muss von einem einzelnen Element gebildet werden",MathMLRootElement:"MathML muss von einem \u003Cmath\u003E-Element gebildet werden, nicht %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathML.js");
diff --git a/localization/de/MathMenu.js b/localization/de/MathMenu.js
index 615f81f69..67bb3e7de 100644
--- a/localization/de/MathMenu.js
+++ b/localization/de/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Zeige Mathe als",MathMLcode:"MathML-Code",OriginalMathML:"Original-MathML",TeXCommands:"TeX-Befehle",AsciiMathInput:"AsciiMathML-Eingabe",Original:"Originalformel",ErrorMessage:"Fehlermeldung",Annotation:"Anmerkung",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"TeX-Hinweise in MathML anzeigen",Settings:"Math-Einstellungen",ZoomTrigger:"Zoomausl\u00F6ser",Hover:"\u00DCberfahren",Click:"Klick",DoubleClick:"Doppelklick",NoZoom:"Kein Zoom",TriggerRequires:"Ausl\u00F6ser ben\u00F6tigt:",Option:"Option",Alt:"Alt",Command:"\u2318",Control:"Strg",Shift:"Umschalt",ZoomFactor:"Vergr\u00F6\u00DFerungsfaktor",Renderer:"Math-Renderer",MPHandles:"MathPlayer darf verwalten:",MenuEvents:"Men\u00FCereignisse",MouseEvents:"Mausereignisse",MenuAndMouse:"Maus- und Men\u00FCereignisse",FontPrefs:"Schrifteinstellungen",ForHTMLCSS:"F\u00FCr HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (Lokal)",TeXWeb:"TeX (Web)",TeXImage:"TeX (Bild)",STIXLocal:"STIX (Lokal)",ContextMenu:"Kontextmen\u00FC",Browser:"Browser",Scale:"Alle Inhalte skalieren \u2026",Discoverable:"Beim \u00DCberfahren hervorheben",Locale:"Sprache",LoadLocale:"Lade von URL \u2026",About:"\u00DCber MathJax",Help:"MathJax-Hilfe",localTeXfonts:"Lokale TeX-Schriften verwenden",webTeXfonts:"Web-TeX-Schriftart verwenden",imagefonts:"Bildschriften verwenden",localSTIXfonts:"Lokale STIX-Schriften verwenden",webSVGfonts:"Web-SVG-Schriften verwenden",genericfonts:"Allgemeine Unicode-Schriften verwenden",wofforotffonts:"WOFF- oder OTF-Schriften",eotffonts:"EOT-Schriften",svgfonts:"SVG-Schriften",WebkitNativeMMLWarning:"Dein Browser scheint kein natives MathML zu unterst\u00FCtzen. Ein Wechsel auf MathML-Ausgabe kann dazu f\u00FChren, dass die Inhalte auf der Seite unlesbar werden.",MSIENativeMMLWarning:"Um die MathML-Ausgabe verarbeiten zu k\u00F6nnen, ben\u00F6tigt der Internet Explorer das MathPlayer-Plugin.",OperaNativeMMLWarning:"Die Unterst\u00FCtzung f\u00FCr MathML bei Opera ist beschr\u00E4nkt. Deshalb kann ein Wechsel auf MathML-Ausgabe verursachen, dass einige Ausdr\u00FCcke nur schlecht gerendert werden k\u00F6nnen.",SafariNativeMMLWarning:"Das native MathML deines Browsers implementiert nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",FirefoxNativeMMLWarning:"Das native MathML deines Browsers implementiert nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",MSIESVGWarning:"SVG ist nicht implementiert in Internet Explorer \u00E4lter als IE9 oder wenn IE8 und niedriger emuliert werden. Der Wechsel auf SVG-Ausgabe hat zur Folge, dass die Inhalte nicht richtig dargestellt werden.",LoadURL:"\u00DCbersetzungsdaten von dieser URL laden:",BadURL:"Die URL sollte f\u00FCr eine JavaScript-Datei sein, die MathJax-\u00DCbersetzungsdaten definiert. JavaScript-Dateinamen sollten enden mit \u201E.js\u201C.",BadData:"\u00DCbersetzungsdaten konnten nicht von %1 geladen werden",SwitchAnyway:"Renderer wechseln?\n\n(OK w\u00E4hlen zum Wechseln, ABBRECHEN zum Fortfahren mit dem aktuellen Renderer)",ScaleMath:"Alle Inhalte skalieren (verglichen mit dem umflie\u00DFenden Text) um",NonZeroScale:"Der Wert sollte nicht null sein",PercentScale:"Der Wert sollte ein Prozentsatz sein (z.\u0026nbsp;B. 120%%)",IE8warning:"Dies deaktiviert das MathJax-Men\u00FC und die Zoomfunktionen, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.\n\nMathPlayer-Einstellungen wirklich \u00E4ndern?",IE9warning:"Das MathJax-Kontextmen\u00FC wird deaktiviert, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.",NoOriginalForm:"Keine Originalformel verf\u00FCgbar",Close:"Schlie\u00DFen",EqSource:"MathJax-Gleichungsquelle"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathMenu.js");
+MathJax.Localization.addTranslation("de","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Zeige Mathe als",MathMLcode:"MathML-Code",OriginalMathML:"Original-MathML",TeXCommands:"TeX-Befehle",AsciiMathInput:"AsciiMathML-Eingabe",Original:"Originalformel",ErrorMessage:"Fehlermeldung",Annotation:"Anmerkung",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"TeX-Hinweise in MathML anzeigen",Settings:"Math-Einstellungen",ZoomTrigger:"Zoomausl\u00F6ser",Hover:"\u00DCberfahren",Click:"Klick",DoubleClick:"Doppelklick",NoZoom:"Kein Zoom",TriggerRequires:"Ausl\u00F6ser ben\u00F6tigt:",Option:"Option",Alt:"Alt",Command:"\u2318",Control:"Strg",Shift:"Umschalt",ZoomFactor:"Vergr\u00F6\u00DFerungsfaktor",Renderer:"Math-Renderer",MPHandles:"MathPlayer darf verwalten:",MenuEvents:"Men\u00FCereignisse",MouseEvents:"Mausereignisse",MenuAndMouse:"Maus- und Men\u00FCereignisse",FontPrefs:"Schrifteinstellungen",ForHTMLCSS:"F\u00FCr HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (Lokal)",TeXWeb:"TeX (Web)",TeXImage:"TeX (Bild)",STIXLocal:"STIX (Lokal)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"Kontextmen\u00FC",Browser:"Browser",Scale:"Alle Inhalte skalieren \u2026",Discoverable:"Beim \u00DCberfahren hervorheben",Locale:"Sprache",LoadLocale:"Lade von URL \u2026",About:"\u00DCber MathJax",Help:"MathJax-Hilfe",localTeXfonts:"Lokale TeX-Schriften verwenden",webTeXfonts:"Web-TeX-Schriftart verwenden",imagefonts:"Bildschriften verwenden",localSTIXfonts:"Lokale STIX-Schriften verwenden",webSVGfonts:"Web-SVG-Schriften verwenden",genericfonts:"Allgemeine Unicode-Schriften verwenden",wofforotffonts:"WOFF- oder OTF-Schriften",eotffonts:"EOT-Schriften",svgfonts:"SVG-Schriften",WebkitNativeMMLWarning:"Dein Browser scheint kein natives MathML zu unterst\u00FCtzen. Ein Wechsel auf MathML-Ausgabe kann dazu f\u00FChren, dass die Inhalte auf der Seite unlesbar werden.",MSIENativeMMLWarning:"Um die MathML-Ausgabe verarbeiten zu k\u00F6nnen, ben\u00F6tigt der Internet Explorer das MathPlayer-Plugin.",OperaNativeMMLWarning:"Die Unterst\u00FCtzung f\u00FCr MathML bei Opera ist beschr\u00E4nkt. Deshalb kann ein Wechsel auf MathML-Ausgabe verursachen, dass einige Ausdr\u00FCcke nur schlecht gerendert werden k\u00F6nnen.",SafariNativeMMLWarning:"Das native MathML deines Browsers implementiert nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",FirefoxNativeMMLWarning:"Das native MathML deines Browsers implementiert nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",MSIESVGWarning:"SVG ist nicht implementiert in Internet Explorer \u00E4lter als IE9 oder wenn IE8 und niedriger emuliert werden. Der Wechsel auf SVG-Ausgabe hat zur Folge, dass die Inhalte nicht richtig dargestellt werden.",LoadURL:"\u00DCbersetzungsdaten von dieser URL laden:",BadURL:"Die URL sollte f\u00FCr eine JavaScript-Datei sein, die MathJax-\u00DCbersetzungsdaten definiert. JavaScript-Dateinamen sollten enden mit \u201E.js\u201C.",BadData:"\u00DCbersetzungsdaten konnten nicht von %1 geladen werden",SwitchAnyway:"Renderer wechseln?\n\n(OK w\u00E4hlen zum Wechseln, ABBRECHEN zum Fortfahren mit dem aktuellen Renderer)",ScaleMath:"Alle Inhalte skalieren (verglichen mit dem umflie\u00DFenden Text) um",NonZeroScale:"Der Wert sollte nicht null sein",PercentScale:"Der Wert sollte ein Prozentsatz sein (z.\u0026nbsp;B. 120%%)",IE8warning:"Dies deaktiviert das MathJax-Men\u00FC und die Zoomfunktionen, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.\n\nMathPlayer-Einstellungen wirklich \u00E4ndern?",IE9warning:"Das MathJax-Kontextmen\u00FC wird deaktiviert, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.",NoOriginalForm:"Keine Originalformel verf\u00FCgbar",Close:"Schlie\u00DFen",EqSource:"MathJax-Gleichungsquelle"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathMenu.js");
diff --git a/localization/de/TeX.js b/localization/de/TeX.js
index 533aefce5..66dd54368 100644
--- a/localization/de/TeX.js
+++ b/localization/de/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Zus\u00E4tzliche \u00F6ffnende oder fehlende schlie\u00DFende Klammer",ExtraCloseMissingOpen:"Zus\u00E4tzliche schlie\u00DFende oder fehlende \u00F6ffnende Klammer",MissingLeftExtraRight:"Fehlendes '\\left' oder zus\u00E4tzliches '\\right'",MissingScript:"Fehlendes Argument im Sub- oder Superskript",ExtraLeftMissingRight:"Zus\u00E4tzliches '\\left' oder fehlendes '\\right'",Misplaced:"%1 falsch plaziert",MissingOpenForSub:"Fehlende \u00F6ffnende Klammer im Subskript",MissingOpenForSup:"Fehlende \u00F6ffnende Klammer im Superskript",AmbiguousUseOf:"Mehrdeutige Verwendung von %1",EnvBadEnd:"\\begin{%1} endet mit \\end{%2}",EnvMissingEnd:"\\end{%1} fehlt",MissingBoxFor:"Fehlende Box: %1",MissingCloseBrace:"Fehlende schlie\u00DFende Klammer",UndefinedControlSequence:"Nicht definierter Befehl: %1",DoubleExponent:"Doppeltes Superskript: verwende Klammern zum Gruppieren",DoubleSubscripts:"Doppeltes Subskript: verwende Klammern zum Gruppieren",DoubleExponentPrime:"Prime f\u00FChrt zu doppeltem Superskript: verwende Klammern zum Gruppieren",CantUseHash1:"Das Zeichen '#' ist ein Makroparameter und kann nicht im Mathematikmodus verwendet werden.",MisplacedMiddle:"%1 muss zwischen '\\left' und '\\right' stehen",MisplacedLimits:"%1 ist nur bei Operatoren erlaubt",MisplacedMoveRoot:"%1 muss innerhalb einer Wurzel stehen",MultipleCommand:"Zu viele %1",IntegerArg:"Das Argument in %1 muss ganzzahlig sein",NotMathMLToken:"%1 ist kein Token-Element",InvalidMathMLAttr:"Unzul\u00E4ssiges MathML-Attribut: %1",UnknownAttrForElement:"%1 ist kein zul\u00E4ssiges Attribut f\u00FCr %2",MaxMacroSub1:"Maximale Anzahl an Makros ist erreicht; wird ein rekursiver Makroaufruf verwendet?",MaxMacroSub2:"Maximale Anzahl an Substitutionen ist erreicht; wird eine rekursive LaTeX-Umgebung verwendet?",MissingArgFor:"Fehlendes Argument in %1",ExtraAlignTab:"Zus\u00E4tzliches \u0026 im '\\cases' Text",BracketMustBeDimension:"Das geklammerte Argument f\u00FCr %1 muss eine Dimension sein",InvalidEnv:"Ung\u00FCltiger Umgebungsname %1",UnknownEnv:"Ung\u00FCltige Umgebung %1",ExtraCloseLooking:"Zus\u00E4tzliche schlie\u00DFende Klammer w\u00E4hrend der Suche nach %1",MissingCloseBracket:"Argument zu %1 wurde nicht mit ']' geschlossen",MissingOrUnrecognizedDelim:"Fehlender oder nichterkannter Delimiter bei %1",MissingDimOrUnits:"Fehlende Dimension oder Einheiten bei %1",TokenNotFoundForCommand:"Konnte %1 nicht f\u00FCr %2 finden",MathNotTerminated:"Formel in Textbox nicht abgeschlossen",IllegalMacroParam:"Ung\u00FCltiger Makroparameter",MaxBufferSize:"Interne Puffergr\u00F6\u00DFe \u00FCberschritten; wird ein rekursiver Makroaufruf verwendet?",CommandNotAllowedInEnv:"%1 ist in der Umgebung %2 nicht erlaubt",MultipleLabel:"Label '%1' \u00FCberdefiniert",CommandAtTheBeginingOfLine:"%1 muss am Zeilenanfang stehen",IllegalAlign:"Ung\u00FCltige Ausrichtung in %1",BadMathStyleFor:"Schlechtes 'math style' Argument: %1",PositiveIntegerArg:"Argument bei %1 muss positiv und ganzzahlig sein",ErroneousNestingEq:"Fehlerhafte Verschachtelung von Gleichungen",MultlineRowsOneCol:"Zeilen in der %1-Umgebung m\u00FCssen genau eine Spalte haben",MultipleBBoxProperty:"%1 wurde zweimal in %2 angegeben",InvalidBBoxProperty:"'%1' scheint keine Farbe, Padding-Dimension oder Stil zu sein",ExtraEndMissingBegin:"Zus\u00E4tzliches %1 oder fehlendes \\begingroup",GlobalNotFollowedBy:"'%1' nicht von '\\let', '\\def' oder '\\newcommand' gefolgt",UndefinedColorModel:"Farbmodell '%1' nicht definiert",ModelArg1:"Farbwerte f\u00FCr Farbmodell '%1' ben\u00F6tigen 3 Werte",InvalidDecimalNumber:"Ung\u00FCltige Dezimalzahl",ModelArg2:"Farbwerte f\u00FCr Farbmodell '%1' m\u00FCssen zwischen %2 und %3 liegen",InvalidNumber:"Ung\u00FCltige Zahl",NewextarrowArg1:"Das erste Argument von %1 muss Name einer Befehlsfolge sein",NewextarrowArg2:"Zweites Argument von %1 m\u00FCssen zwei ganze Zahlen sein, durch Komma getrennt",NewextarrowArg3:"Drittes argument von %1 m\u00FCssen Unicode-Nummern sein",NoClosingChar:"Kann schlie\u00DFende %1 nicht finden",IllegalControlSequenceName:"Ung\u00FCltige Befehlsfolge f\u00FCr %1",IllegalParamNumber:"Ung\u00FCltige Anzahl von Parametern in %1",MissingCS:"%1 muss von Befehlsfolge gefolgt werden",CantUseHash2:"Ung\u00FCltige Verwendung von # im Template von %1",SequentialParam:"Parameter von %1 m\u00FCssen durch nummeriert sein",MissingReplacementString:"Ersetzende Zeichenkette f\u00FCr Definition von %1 fehlt",MismatchUseDef:"Verwendung von %1 passt nicht zur Definition",RunawayArgument:"Nichtgeschlossenes Argument f\u00FCr %1?",NoClosingDelim:"Kein schliessender Delimiter f\u00FCr %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/TeX.js");
+MathJax.Localization.addTranslation("de","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Zus\u00E4tzliche \u00F6ffnende oder fehlende schlie\u00DFende Klammer",ExtraCloseMissingOpen:"Zus\u00E4tzliche schlie\u00DFende oder fehlende \u00F6ffnende Klammer",MissingLeftExtraRight:"Fehlendes '\\left' oder zus\u00E4tzliches '\\right'",MissingScript:"Fehlendes Argument im Sub- oder Superskript",ExtraLeftMissingRight:"Zus\u00E4tzliches '\\left' oder fehlendes '\\right'",Misplaced:"%1 falsch plaziert",MissingOpenForSub:"Fehlende \u00F6ffnende Klammer im Subskript",MissingOpenForSup:"Fehlende \u00F6ffnende Klammer im Superskript",AmbiguousUseOf:"Mehrdeutige Verwendung von %1",EnvBadEnd:"\\begin{%1} endet mit \\end{%2}",EnvMissingEnd:"\\end{%1} fehlt",MissingBoxFor:"Fehlende Box: %1",MissingCloseBrace:"Fehlende schlie\u00DFende Klammer",UndefinedControlSequence:"Nicht definierter Befehl: %1",DoubleExponent:"Doppeltes Superskript: verwende Klammern zum Gruppieren",DoubleSubscripts:"Doppeltes Subskript: verwende Klammern zum Gruppieren",DoubleExponentPrime:"Prime f\u00FChrt zu doppeltem Superskript: verwende Klammern zum Gruppieren",CantUseHash1:"Das Zeichen '#' ist ein Makroparameter und kann nicht im Mathematikmodus verwendet werden.",MisplacedMiddle:"%1 muss zwischen '\\left' und '\\right' stehen",MisplacedLimits:"%1 ist nur bei Operatoren erlaubt",MisplacedMoveRoot:"%1 muss innerhalb einer Wurzel stehen",MultipleCommand:"Zu viele %1",IntegerArg:"Das Argument in %1 muss ganzzahlig sein",NotMathMLToken:"%1 ist kein Token-Element",InvalidMathMLAttr:"Unzul\u00E4ssiges MathML-Attribut: %1",UnknownAttrForElement:"%1 ist kein zul\u00E4ssiges Attribut f\u00FCr %2",MaxMacroSub1:"Maximale Anzahl an Makros ist erreicht; wird ein rekursiver Makroaufruf verwendet?",MaxMacroSub2:"Maximale Anzahl an Substitutionen ist erreicht; wird eine rekursive LaTeX-Umgebung verwendet?",MissingArgFor:"Fehlendes Argument in %1",ExtraAlignTab:"Zus\u00E4tzliches \u0026 im '\\cases' Text",BracketMustBeDimension:"Das geklammerte Argument f\u00FCr %1 muss eine Dimension sein",InvalidEnv:"Ung\u00FCltiger Umgebungsname %1",UnknownEnv:"Ung\u00FCltige Umgebung %1",ExtraCloseLooking:"Zus\u00E4tzliche schlie\u00DFende Klammer w\u00E4hrend der Suche nach %1",MissingCloseBracket:"Argument zu %1 wurde nicht mit ']' geschlossen",MissingOrUnrecognizedDelim:"Fehlender oder nichterkannter Delimiter bei %1",MissingDimOrUnits:"Fehlende Dimension oder Einheiten bei %1",TokenNotFoundForCommand:"Konnte %1 nicht f\u00FCr %2 finden",MathNotTerminated:"Formel in Textbox nicht abgeschlossen",IllegalMacroParam:"Ung\u00FCltiger Makroparameter",MaxBufferSize:"Interne Puffergr\u00F6\u00DFe \u00FCberschritten; wird ein rekursiver Makroaufruf verwendet?",CommandNotAllowedInEnv:"%1 ist in der Umgebung %2 nicht erlaubt",MultipleLabel:"Label '%1' \u00FCberdefiniert",CommandAtTheBeginingOfLine:"%1 muss am Zeilenanfang stehen",IllegalAlign:"Ung\u00FCltige Ausrichtung in %1",BadMathStyleFor:"Schlechtes 'math style' Argument: %1",PositiveIntegerArg:"Argument bei %1 muss positiv und ganzzahlig sein",ErroneousNestingEq:"Fehlerhafte Verschachtelung von Gleichungen",MultlineRowsOneCol:"Zeilen in der %1-Umgebung m\u00FCssen genau eine Spalte haben",MultipleBBoxProperty:"%1 wurde zweimal in %2 angegeben",InvalidBBoxProperty:"'%1' scheint keine Farbe, Padding-Dimension oder Stil zu sein",ExtraEndMissingBegin:"Zus\u00E4tzliches %1 oder fehlendes \\begingroup",GlobalNotFollowedBy:"'%1' nicht von '\\let', '\\def' oder '\\newcommand' gefolgt",UndefinedColorModel:"Farbmodell '%1' nicht definiert",ModelArg1:"Farbwerte f\u00FCr Farbmodell '%1' ben\u00F6tigen 3 Werte",InvalidDecimalNumber:"Ung\u00FCltige Dezimalzahl",ModelArg2:"Farbwerte f\u00FCr Farbmodell '%1' m\u00FCssen zwischen %2 und %3 liegen",InvalidNumber:"Ung\u00FCltige Zahl",NewextarrowArg1:"Das erste Argument von %1 muss Name einer Befehlsfolge sein",NewextarrowArg2:"Zweites Argument von %1 m\u00FCssen zwei ganze Zahlen sein, durch Komma getrennt",NewextarrowArg3:"Drittes argument von %1 m\u00FCssen Unicode-Nummern sein",NoClosingChar:"Kann schlie\u00DFende %1 nicht finden",IllegalControlSequenceName:"Ung\u00FCltige Befehlsfolge f\u00FCr %1",IllegalParamNumber:"Ung\u00FCltige Anzahl von Parametern in %1",MissingCS:"%1 muss von Befehlsfolge gefolgt werden",CantUseHash2:"Ung\u00FCltige Verwendung von # im Template von %1",SequentialParam:"Parameter von %1 m\u00FCssen durch nummeriert sein",MissingReplacementString:"Ersetzende Zeichenkette f\u00FCr Definition von %1 fehlt",MismatchUseDef:"Verwendung von %1 passt nicht zur Definition",RunawayArgument:"Nichtgeschlossenes Argument f\u00FCr %1?",NoClosingDelim:"Kein schliessender Delimiter f\u00FCr %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/TeX.js");
diff --git a/localization/de/de.js b/localization/de/de.js
index ba0ddba1e..7bdd4b3cd 100644
--- a/localization/de/de.js
+++ b/localization/de/de.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de",null,{menuTitle:"Deutsch",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax hat eine Cookie mit ausf\u00FChrbaren Code gefunden. Soll dieser Code ausgef\u00FChrt werden?\n\n(Klicken Sie 'Abbrechen' falls Sie das Cookie nicht selber akzeptiert haben.)",MathProcessingError:"Mathe Verarbeitungsfehler",MathError:"Mathe Fehler",LoadFile:"Lade %1",Loading:"Laden",LoadFailed:"Datei konnte nicht geladen werden: %1",ProcessMath:"Mathe verarbeiten: %1%%",Processing:"Verarbeiten",TypesetMath:"Mathe wird gesetzt: %1%%",Typesetting:"Setzen",MathJaxNotSupported:"Ihr Webbrowser unterst\u00FCtzt MathJax nicht"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/de.js");
+MathJax.Localization.addTranslation("de",null,{menuTitle:"Deutsch",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax hat eine Cookie mit ausf\u00FChrbaren Code gefunden. Soll dieser Code ausgef\u00FChrt werden?\n\n(Klicken Sie 'Abbrechen' falls Sie das Cookie nicht selber akzeptiert haben.)",MathProcessingError:"Mathe Verarbeitungsfehler",MathError:"Mathe Fehler",LoadFile:"Lade %1",Loading:"Laden",LoadFailed:"Datei konnte nicht geladen werden: %1",ProcessMath:"Mathe verarbeiten: %1%%",Processing:"Verarbeiten",TypesetMath:"Mathe wird gesetzt: %1%%",Typesetting:"Setzen",MathJaxNotSupported:"Ihr Webbrowser unterst\u00FCtzt MathJax nicht"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/de.js");
diff --git a/localization/en/FontWarnings.js b/localization/en/FontWarnings.js
index 17ca581eb..57d4bb174 100644
--- a/localization/en/FontWarnings.js
+++ b/localization/en/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder.",imageFonts:"MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer.",noFonts:"MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them.  Some characters may not show up properly, or possibly not at all.",webFonts:"Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page.",fonts:"MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",STIXPage:"This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",TeXPage:"This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience."}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/FontWarnings.js");
+MathJax.Localization.addTranslation("en","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder.",imageFonts:"MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer.",noFonts:"MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them.  Some characters may not show up properly, or possibly not at all.",webFonts:"Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page.",fonts:"MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",STIXPage:"This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",TeXPage:"This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience."}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/FontWarnings.js");
diff --git a/localization/en/HTML-CSS.js b/localization/en/HTML-CSS.js
index 8e84b00bc..733976bf8 100644
--- a/localization/en/HTML-CSS.js
+++ b/localization/en/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Loading web-font %1",CantLoadWebFont:"Can't load web font %1",FirefoxCantLoadWebFont:"Firefox can't load web fonts from a remote host",CantFindFontUsing:"Can't find a valid font using %1",WebFontsNotAvailable:"Web-Fonts not available -- using image fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HTML-CSS.js");
+MathJax.Localization.addTranslation("en","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Loading web-font %1",CantLoadWebFont:"Can't load web font %1",FirefoxCantLoadWebFont:"Firefox can't load web fonts from a remote host",CantFindFontUsing:"Can't find a valid font using %1",WebFontsNotAvailable:"Web-Fonts not available -- using image fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HTML-CSS.js");
diff --git a/localization/en/HelpDialog.js b/localization/en/HelpDialog.js
index 45bf40baf..8ea077e2b 100644
--- a/localization/en/HelpDialog.js
+++ b/localization/en/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"MathJax Help",MathJax:"*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages.  As a reader, you don't need to do anything to make that happen.",Browsers:"*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers.",Menu:"*Math Menu*: MathJax adds a contextual menu to equations.  Right-click or CTRL-click on any mathematics to access the menu.",ShowMath:"*Show Math As* allows you to view the formula's source markup for copy \u0026 paste (as MathML or in its original format).",Settings:"*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations.",Language:"*Language* lets you select the language used by MathJax for its menus and warning messages.",Zoom:"*Math Zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better.",Accessibilty:"*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired.",Fonts:"*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts.  Although not required, locally installed fonts will speed up typesetting.  We suggest installing the [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HelpDialog.js");
+MathJax.Localization.addTranslation("en","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"MathJax Help",MathJax:"*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages.  As a reader, you don't need to do anything to make that happen.",Browsers:"*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers.",Menu:"*Math Menu*: MathJax adds a contextual menu to equations.  Right-click or CTRL-click on any mathematics to access the menu.",ShowMath:"*Show Math As* allows you to view the formula's source markup for copy \u0026 paste (as MathML or in its original format).",Settings:"*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations.",Language:"*Language* lets you select the language used by MathJax for its menus and warning messages.",Zoom:"*Math Zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better.",Accessibilty:"*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired.",Fonts:"*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts.  Although not required, locally installed fonts will speed up typesetting.  We suggest installing the [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HelpDialog.js");
diff --git a/localization/en/MathML.js b/localization/en/MathML.js
index 419a1ce28..e36aaf142 100644
--- a/localization/en/MathML.js
+++ b/localization/en/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.",CantCreateXMLParser:"MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax.",UnknownNodeType:"Unknown node type: %1",UnexpectedTextNode:"Unexpected text node: %1",ErrorParsingMathML:"Error parsing MathML",ParsingError:"Error parsing MathML: %1",MathMLSingleElement:"MathML must be formed by a single element",MathMLRootElement:"MathML must be formed by a \u003Cmath\u003E element, not %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathML.js");
+MathJax.Localization.addTranslation("en","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics.",CantCreateXMLParser:"MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax.",UnknownNodeType:"Unknown node type: %1",UnexpectedTextNode:"Unexpected text node: %1",ErrorParsingMathML:"Error parsing MathML",ParsingError:"Error parsing MathML: %1",MathMLSingleElement:"MathML must be formed by a single element",MathMLRootElement:"MathML must be formed by a \u003Cmath\u003E element, not %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathML.js");
diff --git a/localization/en/MathMenu.js b/localization/en/MathMenu.js
index 6d302c47e..9f0fb40e1 100644
--- a/localization/en/MathMenu.js
+++ b/localization/en/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Show Math As",MathMLcode:"MathML Code",OriginalMathML:"Original MathML",TeXCommands:"TeX Commands",AsciiMathInput:"AsciiMathML input",Original:"Original Form",ErrorMessage:"Error Message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Show TeX hints in MathML",Settings:"Math Settings",ZoomTrigger:"Zoom Trigger",Hover:"Hover",Click:"Click",DoubleClick:"Double-Click",NoZoom:"No Zoom",TriggerRequires:"Trigger Requires:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoom Factor",Renderer:"Math Renderer",MPHandles:"Let MathPlayer Handle:",MenuEvents:"Menu Events",MouseEvents:"Mouse Events",MenuAndMouse:"Mouse and Menu Events",FontPrefs:"Font Preferences",ForHTMLCSS:"For HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextual Menu",Browser:"Browser",Scale:"Scale All Math ...",Discoverable:"Highlight on Hover",Locale:"Language",LoadLocale:"Load from URL ...",About:"About MathJax",Help:"MathJax Help",localTeXfonts:"using local TeX fonts",webTeXfonts:"using web TeX font",imagefonts:"using Image fonts",localSTIXfonts:"using local STIX fonts",webSVGfonts:"using web SVG fonts",genericfonts:"using generic unicode fonts",wofforotffonts:"woff or otf fonts",eotffonts:"eot fonts",svgfonts:"svg fonts",WebkitNativeMMLWarning:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIENativeMMLWarning:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",OperaNativeMMLWarning:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",SafariNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",FirefoxNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",MSIESVGWarning:"SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly.",LoadURL:"Load translation data from this URL:",BadURL:"The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'",BadData:"Failed to load translation data from %1",SwitchAnyway:"Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)",ScaleMath:"Scale all mathematics (compared to surrounding text) by",NonZeroScale:"The scale should not be zero",PercentScale:"The scale should be a percentage (e.g., 120%%)",IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead.",NoOriginalForm:"No original form available",Close:"Close",EqSource:"MathJax Equation Source"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathMenu.js");
+MathJax.Localization.addTranslation("en","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Show Math As",MathMLcode:"MathML Code",OriginalMathML:"Original MathML",TeXCommands:"TeX Commands",AsciiMathInput:"AsciiMathML input",Original:"Original Form",ErrorMessage:"Error Message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Show TeX hints in MathML",Settings:"Math Settings",ZoomTrigger:"Zoom Trigger",Hover:"Hover",Click:"Click",DoubleClick:"Double-Click",NoZoom:"No Zoom",TriggerRequires:"Trigger Requires:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoom Factor",Renderer:"Math Renderer",MPHandles:"Let MathPlayer Handle:",MenuEvents:"Menu Events",MouseEvents:"Mouse Events",MenuAndMouse:"Mouse and Menu Events",FontPrefs:"Font Preferences",ForHTMLCSS:"For HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextual Menu",Browser:"Browser",Scale:"Scale All Math ...",Discoverable:"Highlight on Hover",Locale:"Language",LoadLocale:"Load from URL ...",About:"About MathJax",Help:"MathJax Help",localTeXfonts:"using local TeX fonts",webTeXfonts:"using web TeX font",imagefonts:"using Image fonts",localSTIXfonts:"using local STIX fonts",webSVGfonts:"using web SVG fonts",genericfonts:"using generic unicode fonts",wofforotffonts:"woff or otf fonts",eotffonts:"eot fonts",svgfonts:"svg fonts",WebkitNativeMMLWarning:"Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable.",MSIENativeMMLWarning:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",OperaNativeMMLWarning:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",SafariNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",FirefoxNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",MSIESVGWarning:"SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly.",LoadURL:"Load translation data from this URL:",BadURL:"The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'",BadData:"Failed to load translation data from %1",SwitchAnyway:"Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)",ScaleMath:"Scale all mathematics (compared to surrounding text) by",NonZeroScale:"The scale should not be zero",PercentScale:"The scale should be a percentage (e.g., 120%%)",IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead.",NoOriginalForm:"No original form available",Close:"Close",EqSource:"MathJax Equation Source"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathMenu.js");
diff --git a/localization/en/TeX.js b/localization/en/TeX.js
index 0d39b1351..f0dd90cbe 100644
--- a/localization/en/TeX.js
+++ b/localization/en/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra open brace or missing close brace",ExtraCloseMissingOpen:"Extra close brace or missing open brace",MissingLeftExtraRight:"Missing \\left or extra \\right",MissingScript:"Missing superscript or subscript argument",ExtraLeftMissingRight:"Extra \\left or missing \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missing open brace for subscript",MissingOpenForSup:"Missing open brace for superscript",AmbiguousUseOf:"Ambiguous use of %1",EnvBadEnd:"\\begin{%1} ended with \\end{%2}",EnvMissingEnd:"Missing \\end{%1}",MissingBoxFor:"Missing box for %1",MissingCloseBrace:"Missing close brace",UndefinedControlSequence:"Undefined control sequence %1",DoubleExponent:"Double exponent: use braces to clarify",DoubleSubscripts:"Double subscripts: use braces to clarify",DoubleExponentPrime:"Prime causes double exponent: use braces to clarify",CantUseHash1:"You can't use 'macro parameter character #' in math mode",MisplacedMiddle:"%1 must be within \\left and \\right",MisplacedLimits:"%1 is allowed only on operators",MisplacedMoveRoot:"%1 can appear only within a root",MultipleCommand:"Multiple %1",IntegerArg:"The argument to %1 must be an integer",NotMathMLToken:"%1 is not a token element",InvalidMathMLAttr:"Invalid MathML attribute: %1",UnknownAttrForElement:"%1 is not a recognized attribute for %2",MaxMacroSub1:"MathJax maximum macro substitution count exceeded; is there a recursive macro call?",MaxMacroSub2:"MathJax maximum substitution count exceeded; is there a recursive latex environment?",MissingArgFor:"Missing argument for %1",ExtraAlignTab:"Extra alignment tab in \\cases text",BracketMustBeDimension:"Bracket argument to %1 must be a dimension",InvalidEnv:"Invalid environment name '%1'",UnknownEnv:"Unknown environment '%1'",ExtraCloseLooking:"Extra close brace while looking for %1",MissingCloseBracket:"Couldn't find closing ']' for argument to %1",MissingOrUnrecognizedDelim:"Missing or unrecognized delimiter for %1",MissingDimOrUnits:"Missing dimension or its units for %1",TokenNotFoundForCommand:"Couldn't find %1 for %2",MathNotTerminated:"Math not terminated in text box",IllegalMacroParam:"Illegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is there a recursive macro call?",CommandNotAllowedInEnv:"%1 not allowed in %2 environment",MultipleLabel:"Label '%1' multiply defined",CommandAtTheBeginingOfLine:"%1 must come at the beginning of the line",IllegalAlign:"Illegal alignment specified in %1",BadMathStyleFor:"Bad math style for %1",PositiveIntegerArg:"Argument to %1 must be a positive integer",ErroneousNestingEq:"Erroneous nesting of equation structures",MultlineRowsOneCol:"The rows within the %1 environment must have exactly one column",MultipleBBoxProperty:"%1 specified twice in %2",InvalidBBoxProperty:"'%1' doesn't look like a color, a padding dimension, or a style",ExtraEndMissingBegin:"Extra %1 or missing \\begingroup",GlobalNotFollowedBy:"%1 not followed by \\let, \\def, or \\newcommand",UndefinedColorModel:"Color model '%1' not defined",ModelArg1:"Color values for the %1 model require 3 numbers",InvalidDecimalNumber:"Invalid decimal number",ModelArg2:"Color values for the %1 model must be between %2 and %3",InvalidNumber:"Invalid number",NewextarrowArg1:"First argument to %1 must be a control sequence name",NewextarrowArg2:"Second argument to %1 must be two integers separated by a comma",NewextarrowArg3:"Third argument to %1 must be a unicode character number",NoClosingChar:"Can't find closing %1",IllegalControlSequenceName:"Illegal control sequence name for %1",IllegalParamNumber:"Illegal number of parameters specified in %1",MissingCS:"%1 must be followed by a control sequence",CantUseHash2:"Illegal use of # in template for %1",SequentialParam:"Parameters for %1 must be numbered sequentially",MissingReplacementString:"Missing replacement string for definition of %1",MismatchUseDef:"Use of %1 doesn't match its definition",RunawayArgument:"Runaway argument for %1?",NoClosingDelim:"Can't find closing delimiter for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/TeX.js");
+MathJax.Localization.addTranslation("en","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra open brace or missing close brace",ExtraCloseMissingOpen:"Extra close brace or missing open brace",MissingLeftExtraRight:"Missing \\left or extra \\right",MissingScript:"Missing superscript or subscript argument",ExtraLeftMissingRight:"Extra \\left or missing \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missing open brace for subscript",MissingOpenForSup:"Missing open brace for superscript",AmbiguousUseOf:"Ambiguous use of %1",EnvBadEnd:"\\begin{%1} ended with \\end{%2}",EnvMissingEnd:"Missing \\end{%1}",MissingBoxFor:"Missing box for %1",MissingCloseBrace:"Missing close brace",UndefinedControlSequence:"Undefined control sequence %1",DoubleExponent:"Double exponent: use braces to clarify",DoubleSubscripts:"Double subscripts: use braces to clarify",DoubleExponentPrime:"Prime causes double exponent: use braces to clarify",CantUseHash1:"You can't use 'macro parameter character #' in math mode",MisplacedMiddle:"%1 must be within \\left and \\right",MisplacedLimits:"%1 is allowed only on operators",MisplacedMoveRoot:"%1 can appear only within a root",MultipleCommand:"Multiple %1",IntegerArg:"The argument to %1 must be an integer",NotMathMLToken:"%1 is not a token element",InvalidMathMLAttr:"Invalid MathML attribute: %1",UnknownAttrForElement:"%1 is not a recognized attribute for %2",MaxMacroSub1:"MathJax maximum macro substitution count exceeded; is there a recursive macro call?",MaxMacroSub2:"MathJax maximum substitution count exceeded; is there a recursive latex environment?",MissingArgFor:"Missing argument for %1",ExtraAlignTab:"Extra alignment tab in \\cases text",BracketMustBeDimension:"Bracket argument to %1 must be a dimension",InvalidEnv:"Invalid environment name '%1'",UnknownEnv:"Unknown environment '%1'",ExtraCloseLooking:"Extra close brace while looking for %1",MissingCloseBracket:"Couldn't find closing ']' for argument to %1",MissingOrUnrecognizedDelim:"Missing or unrecognized delimiter for %1",MissingDimOrUnits:"Missing dimension or its units for %1",TokenNotFoundForCommand:"Couldn't find %1 for %2",MathNotTerminated:"Math not terminated in text box",IllegalMacroParam:"Illegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is there a recursive macro call?",CommandNotAllowedInEnv:"%1 not allowed in %2 environment",MultipleLabel:"Label '%1' multiply defined",CommandAtTheBeginingOfLine:"%1 must come at the beginning of the line",IllegalAlign:"Illegal alignment specified in %1",BadMathStyleFor:"Bad math style for %1",PositiveIntegerArg:"Argument to %1 must be a positive integer",ErroneousNestingEq:"Erroneous nesting of equation structures",MultlineRowsOneCol:"The rows within the %1 environment must have exactly one column",MultipleBBoxProperty:"%1 specified twice in %2",InvalidBBoxProperty:"'%1' doesn't look like a color, a padding dimension, or a style",ExtraEndMissingBegin:"Extra %1 or missing \\begingroup",GlobalNotFollowedBy:"%1 not followed by \\let, \\def, or \\newcommand",UndefinedColorModel:"Color model '%1' not defined",ModelArg1:"Color values for the %1 model require 3 numbers",InvalidDecimalNumber:"Invalid decimal number",ModelArg2:"Color values for the %1 model must be between %2 and %3",InvalidNumber:"Invalid number",NewextarrowArg1:"First argument to %1 must be a control sequence name",NewextarrowArg2:"Second argument to %1 must be two integers separated by a comma",NewextarrowArg3:"Third argument to %1 must be a unicode character number",NoClosingChar:"Can't find closing %1",IllegalControlSequenceName:"Illegal control sequence name for %1",IllegalParamNumber:"Illegal number of parameters specified in %1",MissingCS:"%1 must be followed by a control sequence",CantUseHash2:"Illegal use of # in template for %1",SequentialParam:"Parameters for %1 must be numbered sequentially",MissingReplacementString:"Missing replacement string for definition of %1",MismatchUseDef:"Use of %1 doesn't match its definition",RunawayArgument:"Runaway argument for %1?",NoClosingDelim:"Can't find closing delimiter for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/TeX.js");
diff --git a/localization/en/en.js b/localization/en/en.js
index 1f783a667..24d5eb724 100644
--- a/localization/en/en.js
+++ b/localization/en/en.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en",null,{menuTitle:"English",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax has found a user-configuration cookie that includes code to be run. Do you want to run it?\n\n(You should press Cancel unless you set up the cookie yourself.)",MathProcessingError:"Math Processing Error",MathError:"Math Error",LoadFile:"Loading %1",Loading:"Loading",LoadFailed:"File failed to load: %1",ProcessMath:"Processing Math: %1%%",Processing:"Processing",TypesetMath:"Typesetting Math: %1%%",Typesetting:"Typesetting",MathJaxNotSupported:"Your browser does not support MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/en.js");
+MathJax.Localization.addTranslation("en",null,{menuTitle:"English",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax has found a user-configuration cookie that includes code to be run. Do you want to run it?\n\n(You should press Cancel unless you set up the cookie yourself.)",MathProcessingError:"Math Processing Error",MathError:"Math Error",LoadFile:"Loading %1",Loading:"Loading",LoadFailed:"File failed to load: %1",ProcessMath:"Processing Math: %1%%",Processing:"Processing",TypesetMath:"Typesetting Math: %1%%",Typesetting:"Typesetting",MathJaxNotSupported:"Your browser does not support MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/en.js");
diff --git a/localization/eo/FontWarnings.js b/localization/eo/FontWarnings.js
index 898f575d9..52d10cf1c 100644
--- a/localization/eo/FontWarnings.js
+++ b/localization/eo/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/FontWarnings.js");
+MathJax.Localization.addTranslation("eo","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/FontWarnings.js");
diff --git a/localization/eo/HTML-CSS.js b/localization/eo/HTML-CSS.js
index 7f98bdcbc..82479d491 100644
--- a/localization/eo/HTML-CSS.js
+++ b/localization/eo/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HTML-CSS.js");
+MathJax.Localization.addTranslation("eo","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HTML-CSS.js");
diff --git a/localization/eo/HelpDialog.js b/localization/eo/HelpDialog.js
index be7a5a109..a54d49276 100644
--- a/localization/eo/HelpDialog.js
+++ b/localization/eo/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HelpDialog.js");
+MathJax.Localization.addTranslation("eo","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HelpDialog.js");
diff --git a/localization/eo/MathML.js b/localization/eo/MathML.js
index dc82f156f..877989309 100644
--- a/localization/eo/MathML.js
+++ b/localization/eo/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathML.js");
+MathJax.Localization.addTranslation("eo","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathML.js");
diff --git a/localization/eo/MathMenu.js b/localization/eo/MathMenu.js
index e7352f1bd..2ff109a3d 100644
--- a/localization/eo/MathMenu.js
+++ b/localization/eo/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","MathMenu",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathMenu.js");
+MathJax.Localization.addTranslation("eo","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathMenu.js");
diff --git a/localization/eo/TeX.js b/localization/eo/TeX.js
index e1b622704..afbf94293 100644
--- a/localization/eo/TeX.js
+++ b/localization/eo/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/TeX.js");
+MathJax.Localization.addTranslation("eo","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/TeX.js");
diff --git a/localization/eo/eo.js b/localization/eo/eo.js
index 2fd95965c..4137710d6 100644
--- a/localization/eo/eo.js
+++ b/localization/eo/eo.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo",null,{menuTitle:"Esperanto",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{Loading:"\u015Cargado",LoadFailed:"\u015Cargado de dosiero malsukcesis: %1",ProcessMath:"Prilaborado de formulo: %1 %%",Processing:"Prilaborado",TypesetMath:"Kompostado de formulo: %1 %%",Typesetting:"Kompostado",MathJaxNotSupported:"Via krozilo ne subtenas Mathjax."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/eo.js");
+MathJax.Localization.addTranslation("eo",null,{menuTitle:"Esperanto",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{Loading:"\u015Cargado",LoadFailed:"\u015Cargado de dosiero malsukcesis: %1",ProcessMath:"Prilaborado de formulo: %1 %%",Processing:"Prilaborado",TypesetMath:"Kompostado de formulo: %1 %%",Typesetting:"Kompostado",MathJaxNotSupported:"Via krozilo ne subtenas Mathjax."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/eo.js");
diff --git a/localization/es/FontWarnings.js b/localization/es/FontWarnings.js
index 43491e235..e5f6943c7 100644
--- a/localization/es/FontWarnings.js
+++ b/localization/es/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/FontWarnings.js");
+MathJax.Localization.addTranslation("es","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax utiliza tipos de letra web para mostrar la notaci\u00F3n matem\u00E1tica de esta p\u00E1gina. Estos tardan un poco en descargarse, por lo que instalarlos en el equipo acelerar\u00E1 la renderizaci\u00F3n de la p\u00E1gina.",imageFonts:"MathJax est\u00E1 utilizando sus fuentes de imagen en lugar de las fuentes locales o basadas en web. Esto renderizar\u00E1 m\u00E1s lento que de costumbre, y las matem\u00E1ticas no podr\u00E1n imprimir a la resoluci\u00F3n completa de la impresora.",noFonts:"MathJax es incapaz de encontrar una fuente para mostrar sus matem\u00E1ticas y las fuentes de imagen no est\u00E1n disponibles, as\u00ED que usar\u00E1 caracteres Unicode gen\u00E9ricos con la esperanza de que el navegador ser\u00E1 capaz de mostrarlas. Es posible que algunos caracteres no se muestren correctamente, o no en absoluto.",webFonts:"La mayor\u00EDa de los navegadores modernos permiten fuentes para ser descargadas a trav\u00E9s de la web. Actualizar a una versi\u00F3n m\u00E1s reciente de tu navegador (o cambiar de navegador) podr\u00EDa mejorar la calidad de las matem\u00E1ticas en esta p\u00E1gina.",fonts:"MathJax puede utilizar las [fuentes STIX](%1) o las [fuentes TeX MathJax](%2). Descarga e instala una de esas fuentes para mejorar tu experiencia en MathJax.",STIXPage:"Esta p\u00E1gina est\u00E1 dise\u00F1ada para usar las [fuentes STIX](%1). Descarga e instala esas fuentes para mejorar tu experiencia en MathJax.",TeXPage:"Esta p\u00E1gina est\u00E1 dise\u00F1ada para usar las [fuentes MathJax TeX](%1). Descarga e instala esas fuentes para mejorar tu experiencia en MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/FontWarnings.js");
diff --git a/localization/es/HTML-CSS.js b/localization/es/HTML-CSS.js
index 6285b81e1..12a5e4524 100644
--- a/localization/es/HTML-CSS.js
+++ b/localization/es/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HTML-CSS.js");
+MathJax.Localization.addTranslation("es","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Cargando el tipo de letra web %1",CantLoadWebFont:"No se pudo cargar la fuente web %1",FirefoxCantLoadWebFont:"Firefox no puede cargar tipos de letra web desde un equipo remoto",CantFindFontUsing:"No se pudo encontrar una fuente v\u00E1lida usando %1",WebFontsNotAvailable:"No hay fuentes web disponibles. Usando fuentes de imagen en su lugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HTML-CSS.js");
diff --git a/localization/es/HelpDialog.js b/localization/es/HelpDialog.js
index 63b20924e..bf1e45f03 100644
--- a/localization/es/HelpDialog.js
+++ b/localization/es/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HelpDialog.js");
+MathJax.Localization.addTranslation("es","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Ayuda de MathJax",MathJax:"*MathJax* es una biblioteca en JavaScript que permite a los autores de p\u00E1ginas web incrustar notaci\u00F3n matem\u00E1tica. Como lector, no necesitas hacer nada para que eso suceda.",Browsers:"*Navegadores*: MathJax funciona con todos los navegadores modernos, incluyendo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ y la mayor\u00EDa de los navegadores para m\u00F3vil.",Menu:"*Men\u00FA Math*: MathJax a\u00F1ade un men\u00FA contextual para las ecuaciones. Haz clic o Ctrl-clic en cualquier notaci\u00F3n matem\u00E1tica para acceder al men\u00FA.",ShowMath:"*Mostrar la matem\u00E1tica como* permite ver el formato del c\u00F3digo fuente de la f\u00F3rmula para copiar y pegar (como MathML o en su formato original).",Settings:"*Ajustes* te da el control sobre las funciones de MathJax, tales como el tama\u00F1o de las notaciones matem\u00E1ticas y el mecanismo que se utiliza para mostrar las ecuaciones.",Language:"*Idioma* permite seleccionar el idioma utilizado por MathJax para sus men\u00FAs y mensajes de advertencia.",Zoom:"*Zoom*: Si est\u00E1s teniendo dificultad para leer una ecuaci\u00F3n, MathJax puede ampliarla para ayudarte a verla mejor.",Accessibilty:"*Accesibilidad*: MathJax funcionar\u00E1 autom\u00E1ticamente con los lectores de pantalla para hacer accesible a las personas con discapacidad visual.",Fonts:"*Tipos de letra*: MathJax utiliza determinados tipos de letra matem\u00E1ticas si est\u00E1n instalados en tu ordenador, de lo contrario, utilizar\u00E1 tipos de letra en web. Aunque no es necesario, los tipos de letra instalados localmente aumentar\u00E1 la velocidad de composici\u00F3n tipogr\u00E1fica. Sugerimos instalar los tipos de letra [STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HelpDialog.js");
diff --git a/localization/es/MathML.js b/localization/es/MathML.js
index 1f4c4665b..a9dd82fff 100644
--- a/localization/es/MathML.js
+++ b/localization/es/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathML.js");
+MathJax.Localization.addTranslation("es","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u00ABmglyph\u00BB da\u00F1ado: %1",BadMglyphFont:"Tipo de letra da\u00F1ado: %1",MathPlayer:'MathJax no fue capaz de configurar MathPlayer.\n\nSi no est\u00E1 instalado MathPlayer, tienes que instalarlo primero.\nDe lo contrario, la configuraci\u00F3n de seguridad puede impedir que los controles de ActiveX\nfuncionen. Utiliza el elemento en opciones de internet en el men\u00FA Herramientas y selecciona la ficha Seguridad, luego presiona el\nbot\u00F3n de nivel personalizado. Comprueba que la configuraci\u00F3n de\n"Ejecutar controles ActiveX" y "comportamientos binarios y script"\nest\u00E1n activados.\n\nActualmente ver\u00E1s los mensajes de error en lugar de la\ntipograf\u00EDa matem\u00E1tica',CantCreateXMLParser:'MathJax no puede crear un analizador de XML para MathML. Comprueba que la configuraci\u00F3n de seguridad "controles de secuencia de comandos ActiveX marcados como seguros para scripts" est\u00E1 habilitada (utiliza el elemento en opciones de Internet en el men\u00FA Herramientas y selecciona el panel de seguridad, luego presiona el bot\u00F3n de nivel personalizado para comprobarlo).\n\nLas ecuaciones MathML no podr\u00E1n ser procesadas por MathJax',UnknownNodeType:"Tipo de nodo desconocido: %1",UnexpectedTextNode:"Nodo de texto inesperado: %1",ErrorParsingMathML:"Error al analizar MathML",ParsingError:"Error al analizar MathML: %1",MathMLSingleElement:"MathML debe estar formado por un solo elemento",MathMLRootElement:"MathML debe estar formado por un elemento \u003Cmath\u003E, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathML.js");
diff --git a/localization/es/MathMenu.js b/localization/es/MathMenu.js
index 273ebedd3..9b8dcfd98 100644
--- a/localization/es/MathMenu.js
+++ b/localization/es/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","MathMenu",{version:"2.3",isLoaded:true,strings:{MathMLcode:"C\u00F3digo de MathML",OriginalMathML:"MathML original",TeXCommands:"\u00D3rdenes de TeX",Original:"Forma original",ErrorMessage:"Mensaje de Error",Annotation:"Anotaci\u00F3n",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",OpenMath:"OpenMath",Hover:"Apuntar con el rat\u00F3n",Click:"Pulsaci\u00F3n del rat\u00F3n",DoubleClick:"Pulsaci\u00F3n doble del rat\u00F3n",NoZoom:"Sin ampliaci\u00F3n",Option:"Opci\u00F3n",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"May\u00FAs",ZoomFactor:"Factor de ampliaci\u00F3n",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Permitir que MathPlayer gestione:",MenuEvents:"Eventos del men\u00FA",MouseEvents:"Eventos del rat\u00F3n",MenuAndMouse:"Eventos del men\u00FA y del rat\u00F3n",FontPrefs:"Preferencias tipogr\u00E1ficas",ContextMenu:"Men\u00FA Contextual",Browser:"Navegador",Locale:"Idioma",LoadLocale:"Cargar a partir de URL\u2026",About:"Acerca de MathJax",Help:"Ayuda de MathJax",LoadURL:"Cargar datos de traducci\u00F3n desde esta direcci\u00F3n URL:",BadData:"No se pudieron cargar los datos de traducci\u00F3n de %1",Close:"Cerrar",EqSource:"C\u00F3digo de la ecuaci\u00F3n de MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathMenu.js");
+MathJax.Localization.addTranslation("es","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Mostrar las f\u00F3rmulas como",MathMLcode:"C\u00F3digo de MathML",OriginalMathML:"MathML original",TeXCommands:"\u00D3rdenes de TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Forma original",ErrorMessage:"Mensaje de error",Annotation:"Anotaci\u00F3n",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Contenido MathML",OpenMath:"OpenMath",texHints:"Mostrar sugerencias TeX en MathML",Settings:"Configuraci\u00F3n matem\u00E1tica",ZoomTrigger:"Activar zoom",Hover:"Apuntar con el rat\u00F3n",Click:"Pulsaci\u00F3n del rat\u00F3n",DoubleClick:"Pulsaci\u00F3n doble del rat\u00F3n",NoZoom:"Sin ampliaci\u00F3n",TriggerRequires:"La activaci\u00F3n requiere:",Option:"Opci\u00F3n",Alt:"Alt",Command:"Orden",Control:"Control",Shift:"May\u00FAs",ZoomFactor:"Factor de ampliaci\u00F3n",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Permitir que MathPlayer gestione:",MenuEvents:"Eventos del men\u00FA",MouseEvents:"Eventos del rat\u00F3n",MenuAndMouse:"Eventos del men\u00FA y del rat\u00F3n",FontPrefs:"Preferencias tipogr\u00E1ficas",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagen)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navegador",Scale:"Escalar todas las f\u00F3rmulas\u2026",Discoverable:"Resaltar al apuntar con el rat\u00F3n",Locale:"Idioma",LoadLocale:"Cargar a partir de URL\u2026",About:"Acerca de MathJax",Help:"Ayuda de MathJax",localTeXfonts:"usando tipos de letra locales TeX",webTeXfonts:"usando tipo de letra web TeX",imagefonts:"usando tipos de letra de imagen",localSTIXfonts:"usando tipos de letra locales STIX",webSVGfonts:"usando tipos de letra web SVG",genericfonts:"usando tipos de letra Unicode gen\u00E9ricas",wofforotffonts:"Tipos de letra WOFF u OTF",eotffonts:"Tipos de letra EOT",svgfonts:"Tipos de letra SVG",WebkitNativeMMLWarning:"Tu navegador no parece soportar MathML de forma nativa, por lo que cambiar a la salida de MathML puede causar que la notaci\u00F3n matem\u00E1tica en la p\u00E1gina sea ilegible",MSIENativeMMLWarning:"Internet Explorer necesita el complemento MathPlayer para procesar la salida de MathML.",OperaNativeMMLWarning:"El soporte de Opera para MathML es limitado, por lo que cambiar a la salida de MathML puede causar que algunas expresiones no se visualicen bien.",SafariNativeMMLWarning:"El MathML nativo de tu navegador no implementa todas las funciones utilizadas por MathJax, por lo que algunas expresiones pueden no visualizarse correctamente.",FirefoxNativeMMLWarning:"El MathML nativo de tu navegador no implementa todas las funciones utilizadas por MathJax, por lo que algunas expresiones pueden no visualizarse correctamente.",MSIESVGWarning:"SVG no est\u00E1 implementado en Internet Explorer anterior a IE9 o cuando se est\u00E1 emulando IE8 o anteriores. Cambiar a la salida SVG har\u00E1 que la notaci\u00F3n matem\u00E1tica no se visualice correctamente.",LoadURL:"Cargar datos de traducci\u00F3n desde esta direcci\u00F3n URL:",BadURL:'La direcci\u00F3n URL debe ser para un archivo JavaScript que define los datos de traducci\u00F3n de MathJax. Los nombres de los archivos de JavaScript deben terminar con ".js"',BadData:"No se pudieron cargar los datos de traducci\u00F3n de %1",SwitchAnyway:"\u00BFCambiar al renderizador de todos modos?\n\n(Presiona OK para cambiar, CANCELAR para continuar con el renderizador actual)",ScaleMath:"Escalar toda la matem\u00E1tica (comparado con el texto circundante) por",NonZeroScale:"La escala no debe ser cero",PercentScale:"La escala debe ser un porcentaje (p. ej.: 120 %%)",IE8warning:"Esto deshabilitar\u00E1 las funciones de men\u00FA y zoom de MathJax, pero puedes pulsar Alt-Clic en una expresi\u00F3n para obtener el men\u00FA MathJax en su lugar.\n\n\u00BFRealmente quieres cambiar la configuraci\u00F3n de MathPlayer?",IE9warning:"El men\u00FA contextual de MathJax ser\u00E1 desactivado, pero puedes pulsar Alt-Clic en una expresi\u00F3n para obtener el men\u00FA MathJax en su lugar.",NoOriginalForm:"La forma original no est\u00E1 disponible",Close:"Cerrar",EqSource:"C\u00F3digo de la ecuaci\u00F3n de MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathMenu.js");
diff --git a/localization/es/TeX.js b/localization/es/TeX.js
index 760feab40..73576b985 100644
--- a/localization/es/TeX.js
+++ b/localization/es/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/TeX.js");
+MathJax.Localization.addTranslation("es","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Llave de apertura adicional o falta la llave de cierre",ExtraCloseMissingOpen:"Llave de cierre adicional o falta la llave de apertura",MissingLeftExtraRight:"Falta \\left o \\right adicional",MissingScript:"Falta argumento super\u00EDndice o sub\u00EDndice",ExtraLeftMissingRight:"\\left adicional o falta \\right",Misplaced:"%1 ubicado incorrectamente",MissingOpenForSub:"Falta la llave de apertura para el sub\u00EDndice",MissingOpenForSup:"Falta la llave de apertura para super\u00EDndice",AmbiguousUseOf:"Uso ambiguo de %1",EnvBadEnd:"\\begin{%1} termina con \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta la caja para %1",MissingCloseBrace:"Falta la llave de cierre",UndefinedControlSequence:"Secuencia de control indefinido %1",DoubleExponent:"Doble exponente: utiliza llaves para aclarar",DoubleSubscripts:"Doble sub\u00EDndices: utiliza llaves para aclarar",DoubleExponentPrime:"El s\u00EDmbolo \u00ABprima\u00BB causa un exponente doble, utiliza llaves para aclarar",CantUseHash1:'No puedes utilizar "n\u00FAmero de car\u00E1cter de par\u00E1metro de macro" en modo matem\u00E1tico',MisplacedMiddle:"%1 debe estar dentro de \\left y \\right",MisplacedLimits:"%1 est\u00E1 permitido solo en operadores",MisplacedMoveRoot:"%1 solo puede aparecer dentro de una ra\u00EDz",MultipleCommand:"M\u00FAltiples %1",IntegerArg:"El argumento para %1 debe ser un entero",NotMathMLToken:"%1 no es un elemento",InvalidMathMLAttr:"El atributo MathML no es v\u00E1lido: %1",UnknownAttrForElement:"%1 no es un atributo reconocido para %2",MaxMacroSub1:"Conteo m\u00E1ximo de sustituci\u00F3n de macro MathJax superado, \u00BFhay una llamada recursiva de macro?",MaxMacroSub2:"Conteo m\u00E1ximo de sustituci\u00F3n MathJax superado, \u00BFhay un ambiente recursivo de l\u00E1tex?",MissingArgFor:"Falta el argumento para %1",ExtraAlignTab:"Ficha de alineaci\u00F3n adicional en texto \\cases",BracketMustBeDimension:"El argumento de par\u00E9ntesis %1 debe ser una dimensi\u00F3n",InvalidEnv:"Nombre de entorno \u00AB%1\u00BB no v\u00E1lido",UnknownEnv:"Entorno desconocido \u00AB%1\u00BB",ExtraCloseLooking:"Llave de cierre adicional al buscar %1",MissingCloseBracket:'No se pudo encontrar "]" de cierre para el argumento %1',MissingOrUnrecognizedDelim:"Delimitador no reconocido o falta para %1",MissingDimOrUnits:"Falta la dimensi\u00F3n o sus unidades para %1",TokenNotFoundForCommand:"No se pudo encontrar %1 para %2",MathNotTerminated:"La notaci\u00F3n matem\u00E1tica no termina en el cuadro de texto",IllegalMacroParam:"Referencia de par\u00E1metro de macro ilegal",MaxBufferSize:"Tama\u00F1o del b\u00FAfer interno de MathJax excedido; \u00BFHay una llamada macro recursiva?",CommandNotAllowedInEnv:"%1 no permitido en el entorno %2",MultipleLabel:"Se defini\u00F3 la etiqueta \u00AB%1\u00BB varias veces",CommandAtTheBeginingOfLine:"%1 debe aparecer al principio de la l\u00EDnea",IllegalAlign:"Se especific\u00F3 un alineamiento incorrecto en %1",BadMathStyleFor:"Estilo matem\u00E1tico err\u00F3neo para %1",PositiveIntegerArg:"El argumento de %1 debe ser un entero positivo",ErroneousNestingEq:"Anidaci\u00F3n err\u00F3nea de estructuras de ecuaciones",MultlineRowsOneCol:"Las filas dentro del entorno %1 deben tener exactamente una columna",MultipleBBoxProperty:"Se ha especificado %1 dos veces en %2",InvalidBBoxProperty:'"%1" no parece ser un color, una dimensi\u00F3n de relleno o un estilo',ExtraEndMissingBegin:"%1 adicional o falta \\begingroup",GlobalNotFollowedBy:"%1 no va seguido de \\let, \\def o \\newcommand",UndefinedColorModel:"El modelo de color \u00AB%1\u00BB no est\u00E1 definido",ModelArg1:"Los valores de color para el modelo %1 requieren 3 n\u00FAmeros",InvalidDecimalNumber:"El n\u00FAmero decimal no es v\u00E1lido",ModelArg2:"Los valores de color para el modelo %1 deben estar entre %2 y %3",InvalidNumber:"El n\u00FAmero no es v\u00E1lido",NewextarrowArg1:"El primer argumento de %1 debe ser un nombre de secuencia de control",NewextarrowArg2:"El segundo argumento de %1 debe ser dos n\u00FAmeros enteros separados por una coma",NewextarrowArg3:"El tercer argumento de %1 debe ser un n\u00FAmero de caracteres Unicode",NoClosingChar:"No se puede encontrar el cierre %1",IllegalControlSequenceName:"El nombre de la secuencia de control para %1 es incorrecto",IllegalParamNumber:"Se especific\u00F3 una cantidad incorrecta de par\u00E1metros en %1",MissingCS:"A %1 ha de a\u00F1ad\u00EDrsele una secuencia de control",CantUseHash2:"Uso incorrecto de \u00AB#\u00BB en la plantilla para %1",SequentialParam:"Los par\u00E1metros para %1 deben ser numerados de forma secuencial",MissingReplacementString:"Falta la cadena de sustituci\u00F3n para la definici\u00F3n de %1",MismatchUseDef:"El uso de %1 no coincide con su definici\u00F3n",RunawayArgument:"\u00BFArgumento de escape para %1?",NoClosingDelim:"No se puede encontrar el delimitador de cierre para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/TeX.js");
diff --git a/localization/es/es.js b/localization/es/es.js
index a6c7491cf..0bc0d236f 100644
--- a/localization/es/es.js
+++ b/localization/es/es.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es",null,{menuTitle:"espa\u00F1ol",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{MathProcessingError:"Error de procesamiento de matem\u00E1ticas",MathError:"Error de matem\u00E1ticas",LoadFile:"Cargando %1",Loading:"Cargando",LoadFailed:"Fall\u00F3 la carga del archivo: %1",ProcessMath:"Procesando matem\u00E1ticas: %1 %%",Processing:"Procesando",TypesetMath:"Composici\u00F3n tipogr\u00E1fica en curso: %1 %%",Typesetting:"Composici\u00F3n tipogr\u00E1fica",MathJaxNotSupported:"El navegador no admite MathJax",CookieConfig:"MathJax ha encontrado una cookie de configuraci\u00F3n de usuario que incluye c\u00F3digo para ser ejecutado.\u00BFQuieres ejecutarlo?\n\\n\n(Pulse Cancelar al menos que configure la cookie)."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/es.js");
+MathJax.Localization.addTranslation("es",null,{menuTitle:"espa\u00F1ol",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax ha encontrado una cookie de configuraci\u00F3n de usuario que incluye c\u00F3digo para ser ejecutado.\u00BFQuieres ejecutarlo?\n\\n\n(Pulse Cancelar al menos que configure la cookie).",MathProcessingError:"Error de procesamiento de matem\u00E1ticas",MathError:"Error de matem\u00E1ticas",LoadFile:"Cargando %1",Loading:"Cargando",LoadFailed:"Fall\u00F3 la carga del archivo: %1",ProcessMath:"Procesando notaci\u00F3n matem\u00E1tica: %1\u00A0%%",Processing:"Procesando",TypesetMath:"Composici\u00F3n tipogr\u00E1fica en curso: %1 %%",Typesetting:"Composici\u00F3n tipogr\u00E1fica",MathJaxNotSupported:"El navegador no admite MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/es.js");
diff --git a/localization/fa/FontWarnings.js b/localization/fa/FontWarnings.js
index a7de114e1..99c89b1de 100644
--- a/localization/fa/FontWarnings.js
+++ b/localization/fa/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0647\u200C\u0647\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",imageFonts:"MathJax \u0628\u0647 \u062C\u0627\u06CC \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u062D\u0644\u06CC \u06CC\u0627 \u0648\u0628\u06CC \u0627\u0632 \u062A\u0635\u0627\u0648\u06CC\u0631 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0627\u0632 \u062D\u0627\u0644\u062A \u0639\u0627\u062F\u06CC \u06A9\u0646\u062F\u062A\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u062F\u0631 \u062C\u0632\u0626\u06CC\u0627\u062A \u06A9\u0627\u0645\u0644 \u0686\u0627\u067E\u06AF\u0631 \u0634\u0645\u0627 \u0686\u0627\u067E \u0646\u0634\u0648\u0646\u062F.",noFonts:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A \u0642\u0644\u0645\u06CC \u06A9\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u0634\u0648\u062F \u0631\u0627 \u0628\u06CC\u0627\u0628\u062F \u0648 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0647 \u0627\u06CC\u0646 \u0627\u0645\u06CC\u062F \u06A9\u0647 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u062A\u0648\u0627\u0646\u062F \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0639\u0645\u0648\u0645\u06CC \u0631\u0627 \u0686\u0627\u067E \u06A9\u0646\u062F \u0628\u0647 \u0622\u0646\u200C\u0647\u0627 \u0628\u0627\u0632\u0645\u06CC\u200C\u06AF\u0631\u062F\u062F. \u0628\u0639\u0636\u06CC \u0627\u0632 \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u06CC\u0627 \u0627\u0635\u0644\u0627\u064B \u0628\u0647 \u06A9\u0644 \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",webFonts:"\u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC \u062F\u0647\u0646\u062F \u06A9\u0647 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0632 \u0637\u0631\u06CC\u0642 \u0648\u0628 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0634\u0648\u0646\u062F. \u0628\u0647\u200C\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06CC\u200C\u06A9\u0631\u062F\u0646 \u0628\u0647 \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u062E\u0631\u06CC\u0646 \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0645\u0631\u0648\u0631\u06AF\u0631\u062A\u0627\u0646 (\u06CC\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631) \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u06A9\u06CC\u0641\u06CC\u062A \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",fonts:"MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u06CC\u0627 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%2) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u0646\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",STIXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC\u200C\u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0628\u0647\u0628\u0648\u062F \u06CC\u0627\u0628\u062F.",TeXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC \u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u06A9\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u0645\u06CC\u200C\u0628\u062E\u0634\u062F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/FontWarnings.js");
+MathJax.Localization.addTranslation("fa","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0647\u200C\u0647\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",imageFonts:"MathJax \u0628\u0647 \u062C\u0627\u06CC \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u062D\u0644\u06CC \u06CC\u0627 \u0648\u0628\u06CC \u0627\u0632 \u062A\u0635\u0627\u0648\u06CC\u0631 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0627\u0632 \u062D\u0627\u0644\u062A \u0639\u0627\u062F\u06CC \u06A9\u0646\u062F\u062A\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u062F\u0631 \u062C\u0632\u0626\u06CC\u0627\u062A \u06A9\u0627\u0645\u0644 \u0686\u0627\u067E\u06AF\u0631 \u0634\u0645\u0627 \u0686\u0627\u067E \u0646\u0634\u0648\u0646\u062F.",noFonts:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A \u0642\u0644\u0645\u06CC \u06A9\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u0634\u0648\u062F \u0631\u0627 \u0628\u06CC\u0627\u0628\u062F \u0648 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0647 \u0627\u06CC\u0646 \u0627\u0645\u06CC\u062F \u06A9\u0647 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u062A\u0648\u0627\u0646\u062F \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0639\u0645\u0648\u0645\u06CC \u0631\u0627 \u0686\u0627\u067E \u06A9\u0646\u062F \u0628\u0647 \u0622\u0646\u200C\u0647\u0627 \u0628\u0627\u0632\u0645\u06CC\u200C\u06AF\u0631\u062F\u062F. \u0628\u0639\u0636\u06CC \u0627\u0632 \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u06CC\u0627 \u0627\u0635\u0644\u0627\u064B \u0628\u0647 \u06A9\u0644 \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",webFonts:"\u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC \u062F\u0647\u0646\u062F \u06A9\u0647 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0632 \u0637\u0631\u06CC\u0642 \u0648\u0628 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0634\u0648\u0646\u062F. \u0628\u0647\u200C\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06CC\u200C\u06A9\u0631\u062F\u0646 \u0628\u0647 \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u062E\u0631\u06CC\u0646 \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0645\u0631\u0648\u0631\u06AF\u0631\u062A\u0627\u0646 (\u06CC\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631) \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u06A9\u06CC\u0641\u06CC\u062A \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",fonts:"MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u06CC\u0627 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%2) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u0646\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",STIXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC\u200C\u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0628\u0647\u0628\u0648\u062F \u06CC\u0627\u0628\u062F.",TeXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC \u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u06A9\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u0645\u06CC\u200C\u0628\u062E\u0634\u062F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/FontWarnings.js");
diff --git a/localization/fa/HTML-CSS.js b/localization/fa/HTML-CSS.js
index 62572ef4c..fd3e2f9a0 100644
--- a/localization/fa/HTML-CSS.js
+++ b/localization/fa/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",CantLoadWebFont:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u0642\u0644\u0645 \u0648\u0628\u06CC %1 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0631\u062F",FirefoxCantLoadWebFont:"\u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0631\u0627 \u0627\u0632 \u06CC\u06A9 \u0645\u06CC\u0632\u0627\u0646 \u0627\u0632 \u0631\u0627\u0647 \u062F\u0648\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F",CantFindFontUsing:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u06CC\u06A9 \u0642\u0644\u0645 \u0645\u0639\u062A\u0628\u0631 \u0628\u0627\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 %1 \u06CC\u0627\u0641\u062A",WebFontsNotAvailable:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0646\u0627\u0645\u0648\u062C\u0648\u062F\u0646\u062F -- \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0628\u0647 \u062C\u0627\u06CC \u0622\u0646"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HTML-CSS.js");
+MathJax.Localization.addTranslation("fa","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",CantLoadWebFont:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u0642\u0644\u0645 \u0648\u0628\u06CC %1 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0631\u062F",FirefoxCantLoadWebFont:"\u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0631\u0627 \u0627\u0632 \u06CC\u06A9 \u0645\u06CC\u0632\u0627\u0646 \u0627\u0632 \u0631\u0627\u0647 \u062F\u0648\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F",CantFindFontUsing:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u06CC\u06A9 \u0642\u0644\u0645 \u0645\u0639\u062A\u0628\u0631 \u0628\u0627\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 %1 \u06CC\u0627\u0641\u062A",WebFontsNotAvailable:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0646\u0627\u0645\u0648\u062C\u0648\u062F\u0646\u062F -- \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0628\u0647 \u062C\u0627\u06CC \u0622\u0646"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HTML-CSS.js");
diff --git a/localization/fa/HelpDialog.js b/localization/fa/HelpDialog.js
index 95eecfbd4..aa333dd2d 100644
--- a/localization/fa/HelpDialog.js
+++ b/localization/fa/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",MathJax:"*MathJax* \u06CC\u06A9 \u06A9\u062A\u0627\u0628\u062E\u0627\u0646\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0646\u0648\u06CC\u0633\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u0635\u0641\u062D\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u062F\u0631\u0648\u0646 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC \u0642\u0631\u0627\u0631 \u062F\u0647\u0646\u062F.  \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646 \u062E\u0648\u0627\u0646\u0646\u062F\u0647\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u0646\u062F\u0627\u0631\u06CC\u062F \u06A9\u0627\u0631\u06CC \u0627\u0646\u062C\u0627\u0645 \u062F\u0647\u06CC\u062F \u06A9\u0647 \u0627\u06CC\u0646 \u0627\u062A\u0641\u0627\u0642 \u0628\u06CC\u0641\u062A\u062F.",Browsers:"*\u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627*: MathJax \u0628\u0627 \u0647\u0645\u0647\u0654 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0634\u0627\u0645\u0644 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u06F3 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u06A9\u0631\u0648\u0645 \u06F0.\u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0633\u0627\u0641\u0627\u0631\u0633\u06CC \u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0627\u067E\u0631\u0627\u06CC \u06F9.\u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627 \u0648 \u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u062A\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u06A9\u0627\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Menu:"*\u0645\u0646\u0648\u06CC \u0631\u06CC\u0627\u0636\u06CC*: MathJax \u06CC\u06A9 \u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC \u0628\u0647 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0645\u06CC\u200C\u0627\u0641\u0632\u0627\u06CC\u062F. \u0628\u0627 \u06A9\u0644\u06CC\u06A9 \u0631\u0627\u0633\u062A \u06CC\u0627 \u06A9\u0644\u06CC\u06A9 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u0647\u0627\u0631 (CTRL) \u062F\u0631 \u0647\u0631 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0627\u06CC \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0647 \u0627\u06CC\u0646 \u0645\u0646\u0648 \u062F\u0633\u062A \u0628\u06CC\u0627\u0628\u06CC\u062F.",ShowMath:"*\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0634\u0645\u0627 \u0645\u0646\u0628\u0639 \u0646\u0634\u0627\u0646\u0647\u200C\u06AF\u0630\u0627\u0631\u06CC \u0641\u0631\u0645\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06CC \u0631\u0648\u0646\u0648\u0634\u062A \u0648 \u0686\u0633\u067E\u0627\u0646\u062F\u0646 \u0628\u0628\u06CC\u0646\u06CC\u062F (\u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646 MathML \u06CC\u0627 \u062F\u0631 \u0642\u0627\u0644\u0628 \u0627\u0635\u0644\u06CC \u0622\u0646).",Settings:"*\u062A\u0646\u0638\u06CC\u0645\u0627\u062A* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0628\u0647 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC MathJax \u0627\u0632 \u062C\u0645\u0644\u0647\u0654 \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0648 \u0645\u06A9\u0627\u0646\u06CC\u0632\u0645 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u06A9\u0646\u062A\u0631\u0644 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F.",Language:"*\u0632\u0628\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0634\u0645\u0627 \u0632\u0628\u0627\u0646 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0628\u0631\u0627\u06CC \u0645\u0646\u0648\u0647\u0627 \u0648 \u067E\u06CC\u063A\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627 \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F.",Zoom:"*\u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u06CC\u0627\u0636\u06CC*: \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0627 \u062E\u0648\u0627\u0646\u062F\u0646 \u06CC\u06A9 \u0645\u0639\u0627\u062F\u0644\u0647 \u0645\u0634\u06A9\u0644\u06CC \u062F\u0627\u0631\u06CC\u062F\u060C MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 \u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0628\u0647 \u062F\u06CC\u062F\u0646 \u0634\u0645\u0627 \u06A9\u0645\u06A9 \u06A9\u0646\u062F.",Accessibilty:"*\u062F\u0633\u062A\u06CC\u0627\u0628\u06CC\u200C\u067E\u0630\u06CC\u0631\u06CC*: MathJax \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u062E\u0648\u062F\u06A9\u0627\u0631 \u0628\u0627 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC\u06CC \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u0628\u0631\u0627\u06CC \u0642\u0627\u0628\u0644 \u062F\u0633\u062A\u0631\u0633 \u0628\u0631\u0627\u06CC \u06A9\u0633\u0627\u0646\u06CC \u06A9\u0647 \u0645\u0634\u06A9\u0644 \u0628\u06CC\u0646\u0627\u06CC\u06CC \u062F\u0627\u0631\u0646\u062F \u0639\u0645\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Fonts:"*\u0642\u0644\u0645\u200C\u0647\u0627*: MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u0634\u062E\u0635\u06CC \u0627\u06AF\u0631 \u0628\u0631 \u0631\u0648\u06CC \u0631\u0627\u06CC\u0627\u0646\u0647\u0654 \u0634\u0645\u0627 \u0646\u0635\u0628 \u0628\u0627\u0634\u0646\u062F \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F\u061B \u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0628\u0631 \u067E\u0627\u06CC\u0647\u0654 \u0648\u0628 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F.  \u0627\u06AF\u0631\u0686\u0647 \u0646\u06CC\u0627\u0632\u06CC \u0646\u06CC\u0633\u062A\u060C \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0646\u0635\u0628\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F. \u0645\u0627 \u0646\u0635\u0628 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0631\u0627 \u067E\u06CC\u0634\u0646\u0647\u0627\u062F \u0645\u06CC\u200C\u06A9\u0646\u06CC\u0645."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HelpDialog.js");
+MathJax.Localization.addTranslation("fa","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",MathJax:"*MathJax* \u06CC\u06A9 \u06A9\u062A\u0627\u0628\u062E\u0627\u0646\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0646\u0648\u06CC\u0633\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u0635\u0641\u062D\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u062F\u0631\u0648\u0646 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC \u0642\u0631\u0627\u0631 \u062F\u0647\u0646\u062F.  \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646 \u062E\u0648\u0627\u0646\u0646\u062F\u0647\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u0646\u062F\u0627\u0631\u06CC\u062F \u06A9\u0627\u0631\u06CC \u0627\u0646\u062C\u0627\u0645 \u062F\u0647\u06CC\u062F \u06A9\u0647 \u0627\u06CC\u0646 \u0627\u062A\u0641\u0627\u0642 \u0628\u06CC\u0641\u062A\u062F.",Browsers:"*\u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627*: MathJax \u0628\u0627 \u0647\u0645\u0647\u0654 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0634\u0627\u0645\u0644 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u06F3 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u06A9\u0631\u0648\u0645 \u06F0.\u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0633\u0627\u0641\u0627\u0631\u0633\u06CC \u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0627\u067E\u0631\u0627\u06CC \u06F9.\u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627 \u0648 \u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u062A\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u06A9\u0627\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Menu:"*\u0645\u0646\u0648\u06CC \u0631\u06CC\u0627\u0636\u06CC*: MathJax \u06CC\u06A9 \u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC \u0628\u0647 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0645\u06CC\u200C\u0627\u0641\u0632\u0627\u06CC\u062F. \u0628\u0627 \u06A9\u0644\u06CC\u06A9 \u0631\u0627\u0633\u062A \u06CC\u0627 \u06A9\u0644\u06CC\u06A9 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u0647\u0627\u0631 (CTRL) \u062F\u0631 \u0647\u0631 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0627\u06CC \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0647 \u0627\u06CC\u0646 \u0645\u0646\u0648 \u062F\u0633\u062A \u0628\u06CC\u0627\u0628\u06CC\u062F.",ShowMath:"*\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0634\u0645\u0627 \u0645\u0646\u0628\u0639 \u0646\u0634\u0627\u0646\u0647\u200C\u06AF\u0630\u0627\u0631\u06CC \u0641\u0631\u0645\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06CC \u0631\u0648\u0646\u0648\u0634\u062A \u0648 \u0686\u0633\u067E\u0627\u0646\u062F\u0646 \u0628\u0628\u06CC\u0646\u06CC\u062F (\u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646 MathML \u06CC\u0627 \u062F\u0631 \u0642\u0627\u0644\u0628 \u0627\u0635\u0644\u06CC \u0622\u0646).",Settings:"*\u062A\u0646\u0638\u06CC\u0645\u0627\u062A* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0628\u0647 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC MathJax \u0627\u0632 \u062C\u0645\u0644\u0647\u0654 \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0648 \u0645\u06A9\u0627\u0646\u06CC\u0632\u0645 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u06A9\u0646\u062A\u0631\u0644 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F.",Language:"*\u0632\u0628\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0634\u0645\u0627 \u0632\u0628\u0627\u0646 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0628\u0631\u0627\u06CC \u0645\u0646\u0648\u0647\u0627 \u0648 \u067E\u06CC\u063A\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627 \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F.",Zoom:"*\u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u06CC\u0627\u0636\u06CC*: \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0627 \u062E\u0648\u0627\u0646\u062F\u0646 \u06CC\u06A9 \u0645\u0639\u0627\u062F\u0644\u0647 \u0645\u0634\u06A9\u0644\u06CC \u062F\u0627\u0631\u06CC\u062F\u060C MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 \u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0628\u0647 \u062F\u06CC\u062F\u0646 \u0634\u0645\u0627 \u06A9\u0645\u06A9 \u06A9\u0646\u062F.",Accessibilty:"*\u062F\u0633\u062A\u06CC\u0627\u0628\u06CC\u200C\u067E\u0630\u06CC\u0631\u06CC*: MathJax \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u062E\u0648\u062F\u06A9\u0627\u0631 \u0628\u0627 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC\u06CC \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u0628\u0631\u0627\u06CC \u0642\u0627\u0628\u0644 \u062F\u0633\u062A\u0631\u0633 \u0628\u0631\u0627\u06CC \u06A9\u0633\u0627\u0646\u06CC \u06A9\u0647 \u0645\u0634\u06A9\u0644 \u0628\u06CC\u0646\u0627\u06CC\u06CC \u062F\u0627\u0631\u0646\u062F \u0639\u0645\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Fonts:"*\u0642\u0644\u0645\u200C\u0647\u0627*: MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u0634\u062E\u0635\u06CC \u0627\u06AF\u0631 \u0628\u0631 \u0631\u0648\u06CC \u0631\u0627\u06CC\u0627\u0646\u0647\u0654 \u0634\u0645\u0627 \u0646\u0635\u0628 \u0628\u0627\u0634\u0646\u062F \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F\u061B \u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0628\u0631 \u067E\u0627\u06CC\u0647\u0654 \u0648\u0628 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F.  \u0627\u06AF\u0631\u0686\u0647 \u0646\u06CC\u0627\u0632\u06CC \u0646\u06CC\u0633\u062A\u060C \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0646\u0635\u0628\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F. \u0645\u0627 \u0646\u0635\u0628 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0631\u0627 \u067E\u06CC\u0634\u0646\u0647\u0627\u062F \u0645\u06CC\u200C\u06A9\u0646\u06CC\u0645."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HelpDialog.js");
diff --git a/localization/fa/MathML.js b/localization/fa/MathML.js
index 12c3286af..ba253fe93 100644
--- a/localization/fa/MathML.js
+++ b/localization/fa/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",BadMglyphFont:"\u0642\u0644\u0645 \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",UnknownNodeType:"\u0646\u0648\u0639 \u06AF\u0631\u0647\u0654 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647: %1",UnexpectedTextNode:"\u06AF\u0631\u0647\u0654 \u0645\u062A\u0646\u06CC \u063A\u06CC\u0631\u0645\u0646\u062A\u0638\u0631\u0647:\u200C %1",ErrorParsingMathML:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML",ParsingError:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML\u200F: %1",MathMLSingleElement:"MathML \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F \u0628\u06CC\u0627\u06CC\u062F",MathPlayer:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A MathPlayer \u0631\u0627 \u0631\u0627\u0647\u200C\u0627\u0646\u062F\u0627\u0632\u06CC \u06A9\u0646\u062F.\n\n\u0627\u06AF\u0631 MathPlayer \u0646\u0635\u0628 \u0646\u06CC\u0633\u062A\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u062F\u0627\u0631\u06CC\u062F \u06A9\u0647 \u0627\u0628\u062A\u062F\u0627 \u0622\u0646 \u0631\u0627 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F.\n\u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A\u060C \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u0634\u0645\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 \u0627\u062C\u0631\u0627\u06CC\n\u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633 \u062C\u0644\u0648\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F. \u0627\u0632 \u06AF\u0632\u06CC\u0646\u0647\u200C\u0647\u0627\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0645\u0648\u062C\u0648\u062F \u0632\u06CC\u0631\n\u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u0628\u0631\u06AF\u0647\u0654 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F\u060C \u0633\u067E\u0633 \u062F\u06A9\u0645\u0647\u0654\n\u0645\u0631\u062C\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u0631\u0627 \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F. \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u062C\u0631\u0627\u06CC\n\u00AB\u0627\u062C\u0631\u0627\u06CC \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\u00BB \u0648 \u00AB\u0631\u0641\u062A\u0627\u0631\u0647\u0627\u06CC \u062F\u0648\u062F\u0648\u06CC\u06CC \u0648 \u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u00BB \u0641\u0639\u0627\u0644\n\u0647\u0633\u062A\u0646\u062F.\n\n\u062F\u0631 \u062D\u0627\u0644 \u062D\u0627\u0636\u0631 \u0634\u0645\u0627 \u0628\u0647 \u062C\u0627\u06CC \u062D\u0631\u0648\u0641 \u0631\u06CC\u0627\u0636\u06CC \u067E\u06CC\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627\u06CC \u062E\u0648\u0627\u0647\u06CC\u062F \u062F\u06CC\u062F.",CantCreateXMLParser:"MathJax \u0646\u062A\u0648\u0627\u0633\u062A \u06CC\u06A9 \u062A\u062C\u0632\u06CC\u0647\u200C\u06AF\u0631 \u0627\u06A9\u0633\u200C\u0627\u0645\u200C\u0627\u0644 \u0628\u0631\u0627\u06CC MathML \u0627\u06CC\u062C\u0627\u062F \u06A9\u0646\u062F.\n\u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u00AB\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\n\u0639\u0644\u0627\u0645\u062A\u200C\u06AF\u0630\u0627\u0631\u06CC\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646 \u0627\u0645\u0646 \u0628\u0631\u0627\u06CC \u06A9\u062F\u0632\u0646\u06CC\u00BB \u0641\u0639\u0627\u0644 \u0627\u0633\u062A (\u0627\u0632\n\u06AF\u0632\u06CC\u0646\u0647\u0654 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u06AF\u0632\u06CC\u0646\u0647 \u062F\u0631 \u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u067E\u0646\u0644 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628\n\u06A9\u0646\u06CC\u062F \u0648 \u062F\u06A9\u0645\u0647\u0654 \u0645\u0631\u062D\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u062A\u0627 \u0627\u06CC\u0646 \u0631\u0627 \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F).\n\n\u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC MathML \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u0646\u062F \u062A\u0648\u0633\u0637 MathJax \u067E\u0631\u062F\u0627\u0632\u0634 \u06AF\u0631\u062F\u0646\u062F.",MathMLRootElement:"MathML \u0628\u0627\u06CC\u062F \u062A\u0648\u0633\u0637 \u0639\u0646\u0635\u0631 \u003Cmath\u003E \u062A\u0634\u06A9\u06CC\u0644 \u0634\u062F\u0647 \u0628\u0627\u0634\u062F \u0646\u0647 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathML.js");
+MathJax.Localization.addTranslation("fa","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",BadMglyphFont:"\u0642\u0644\u0645 \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",MathPlayer:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A MathPlayer \u0631\u0627 \u0631\u0627\u0647\u200C\u0627\u0646\u062F\u0627\u0632\u06CC \u06A9\u0646\u062F.\n\n\u0627\u06AF\u0631 MathPlayer \u0646\u0635\u0628 \u0646\u06CC\u0633\u062A\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u062F\u0627\u0631\u06CC\u062F \u06A9\u0647 \u0627\u0628\u062A\u062F\u0627 \u0622\u0646 \u0631\u0627 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F.\n\u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A\u060C \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u0634\u0645\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 \u0627\u062C\u0631\u0627\u06CC\n\u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633 \u062C\u0644\u0648\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F. \u0627\u0632 \u06AF\u0632\u06CC\u0646\u0647\u200C\u0647\u0627\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0645\u0648\u062C\u0648\u062F \u0632\u06CC\u0631\n\u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u0628\u0631\u06AF\u0647\u0654 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F\u060C \u0633\u067E\u0633 \u062F\u06A9\u0645\u0647\u0654\n\u0645\u0631\u062C\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u0631\u0627 \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F. \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u062C\u0631\u0627\u06CC\n\u00AB\u0627\u062C\u0631\u0627\u06CC \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\u00BB \u0648 \u00AB\u0631\u0641\u062A\u0627\u0631\u0647\u0627\u06CC \u062F\u0648\u062F\u0648\u06CC\u06CC \u0648 \u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u00BB \u0641\u0639\u0627\u0644\n\u0647\u0633\u062A\u0646\u062F.\n\n\u062F\u0631 \u062D\u0627\u0644 \u062D\u0627\u0636\u0631 \u0634\u0645\u0627 \u0628\u0647 \u062C\u0627\u06CC \u062D\u0631\u0648\u0641 \u0631\u06CC\u0627\u0636\u06CC \u067E\u06CC\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627\u06CC \u062E\u0648\u0627\u0647\u06CC\u062F \u062F\u06CC\u062F.",CantCreateXMLParser:"MathJax \u0646\u062A\u0648\u0627\u0633\u062A \u06CC\u06A9 \u062A\u062C\u0632\u06CC\u0647\u200C\u06AF\u0631 \u0627\u06A9\u0633\u200C\u0627\u0645\u200C\u0627\u0644 \u0628\u0631\u0627\u06CC MathML \u0627\u06CC\u062C\u0627\u062F \u06A9\u0646\u062F.\n\u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u00AB\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\n\u0639\u0644\u0627\u0645\u062A\u200C\u06AF\u0630\u0627\u0631\u06CC\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646 \u0627\u0645\u0646 \u0628\u0631\u0627\u06CC \u06A9\u062F\u0632\u0646\u06CC\u00BB \u0641\u0639\u0627\u0644 \u0627\u0633\u062A (\u0627\u0632\n\u06AF\u0632\u06CC\u0646\u0647\u0654 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u06AF\u0632\u06CC\u0646\u0647 \u062F\u0631 \u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u067E\u0646\u0644 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628\n\u06A9\u0646\u06CC\u062F \u0648 \u062F\u06A9\u0645\u0647\u0654 \u0645\u0631\u062D\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u062A\u0627 \u0627\u06CC\u0646 \u0631\u0627 \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F).\n\n\u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC MathML \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u0646\u062F \u062A\u0648\u0633\u0637 MathJax \u067E\u0631\u062F\u0627\u0632\u0634 \u06AF\u0631\u062F\u0646\u062F.",UnknownNodeType:"\u0646\u0648\u0639 \u06AF\u0631\u0647\u0654 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647: %1",UnexpectedTextNode:"\u06AF\u0631\u0647\u0654 \u0645\u062A\u0646\u06CC \u063A\u06CC\u0631\u0645\u0646\u062A\u0638\u0631\u0647:\u200C %1",ErrorParsingMathML:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML",ParsingError:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML\u200F: %1",MathMLSingleElement:"MathML \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F \u0628\u06CC\u0627\u06CC\u062F",MathMLRootElement:"MathML \u0628\u0627\u06CC\u062F \u062A\u0648\u0633\u0637 \u0639\u0646\u0635\u0631 \u003Cmath\u003E \u062A\u0634\u06A9\u06CC\u0644 \u0634\u062F\u0647 \u0628\u0627\u0634\u062F \u0646\u0647 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathML.js");
diff --git a/localization/fa/MathMenu.js b/localization/fa/MathMenu.js
index 6ae146cc8..87fa8487d 100644
--- a/localization/fa/MathMenu.js
+++ b/localization/fa/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646",MathMLcode:"\u06A9\u062F MathML",OriginalMathML:"MathML \u0627\u0635\u0644\u06CC",TeXCommands:"\u062F\u0633\u062A\u0648\u0631\u0627\u062A \u062A\u06A9",AsciiMathInput:"\u0648\u0631\u0648\u062F\u06CC AsciiMathML",Original:"\u062D\u0627\u0644\u062A \u0627\u0635\u0644\u06CC",ErrorMessage:"\u067E\u06CC\u0627\u0645 \u062E\u0637\u0627",Annotation:"\u06CC\u0627\u062F\u062F\u0627\u0634\u062A",TeX:"\u062A\u06A9",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML \u0645\u062D\u062A\u0648\u0627",OpenMath:"OpenMath",texHints:"\u0646\u0645\u0627\u06CC\u0634 \u0646\u06A9\u062A\u0647\u200C\u0647\u0627\u06CC \u062A\u06A9 \u062F\u0631 MathML",Settings:"\u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A",ZoomTrigger:"\u0645\u0627\u0634\u0647\u0654 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Hover:"\u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC \u0622\u0646",Click:"\u06A9\u0644\u06CC\u06A9",DoubleClick:"\u062F\u0648\u0628\u0627\u0631 \u06A9\u0644\u06CC\u06A9",NoZoom:"\u0628\u062F\u0648\u0646 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Option:"\u06AF\u0632\u06CC\u0646\u0647",Alt:"\u062F\u06AF\u0631\u0633\u0627\u0632",Command:"\u062F\u0633\u062A\u0648\u0631",Control:"\u0645\u0647\u0627\u0631",Shift:"\u062A\u0628\u062F\u06CC\u0644",ZoomFactor:"\u0636\u0631\u06CC\u0628 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Renderer:"\u0627\u0631\u0627\u0626\u0647\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC",MenuEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0646\u0648",MouseEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647",MenuAndMouse:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0648 \u0645\u0646\u0648",FontPrefs:"\u062A\u0631\u062C\u06CC\u062D\u0627\u062A \u0642\u0644\u0645",ForHTMLCSS:"\u0628\u0631\u0627\u06CC \u0627\u0686\u200C\u062A\u06CC\u200C\u0627\u0645\u200C\u0627\u0644-\u0633\u06CC\u200C\u0627\u0633\u200C\u0627\u0633:",Auto:"\u062E\u0648\u062F\u06A9\u0627\u0631",TeXLocal:"\u062A\u06A9 (\u0645\u062D\u0644\u06CC)",TeXWeb:"\u062A\u06A9 (\u0648\u0628)",TeXImage:"\u062A\u06A9 (\u0646\u06AF\u0627\u0631\u0647)",STIXLocal:"STIX (\u0645\u062D\u0644\u06CC)",ContextMenu:"\u0645\u0646\u0648 \u0645\u062A\u0646\u06CC",Browser:"\u0645\u0631\u0648\u0631\u06AF\u0631",Scale:"\u0645\u0642\u06CC\u0627\u0633\u200C\u062F\u0647\u06CC \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A ...",Locale:"\u0632\u0628\u0627\u0646",LoadLocale:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0627\u0632 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC ...",About:"\u062F\u0631\u0628\u0627\u0631\u0647\u0654 MathJax",Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",localTeXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 \u0645\u062D\u0644\u06CC",webTeXfonts:"\u0628\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645 \u0648\u0628\u06CC \u062A\u06A9",imagefonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC",localSTIXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX \u0645\u062D\u0644\u06CC",webSVGfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC SVG",genericfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0639\u0645\u0648\u0645\u06CC \u06CC\u0648\u0646\u06CC\u06A9\u062F",wofforotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC woff \u06CC\u0627 otf",eotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC eot",svgfonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC svg",WebkitNativeMMLWarning:"\u0628\u0647 \u0646\u0638\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathML \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F\u060C \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0631\u0641\u062A\u0646 \u0628\u0647 \u062D\u0627\u0644\u062A \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0635\u0641\u062D\u0647 \u063A\u06CC\u0631\u0642\u0627\u0628\u0644 \u062E\u0648\u0627\u0646\u062F\u0646 \u0634\u0648\u0646\u062F.",MSIENativeMMLWarning:"\u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0628\u0647 \u0627\u0641\u0632\u0627\u06CC\u0647\u0654 MathPlayer \u0628\u0631\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u062E\u0631\u0648\u062C\u06CC MathML \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A.",NoOriginalForm:"\u062D\u0627\u0644\u062A \u0627\u0648\u0644\u0628\u0647 \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A",Close:"\u0628\u0633\u062A\u0646",EqSource:"\u0645\u0646\u0628\u0639 \u0645\u0639\u0627\u062F\u0644\u0647\u0654 MathJax",TriggerRequires:"\u062A\u063A\u06CC\u06CC\u0631 \u062D\u0627\u0644\u062A \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A \u0628\u0647:",MPHandles:"\u0627\u062C\u0627\u0632\u0647\u200C\u0628\u062F\u0647 MathPlayer \u0645\u062F\u06CC\u0631\u06CC\u062A \u06A9\u0646\u062F:",Discoverable:"\u0628\u0631\u062C\u0633\u062A\u0647\u200C\u0634\u062F\u0646 \u0628\u0627 \u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC\u0634",OperaNativeMMLWarning:"\u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0627\u067E\u0631\u0627 \u0627\u0632 MathML \u0645\u062D\u062F\u0648\u062F \u0627\u0633\u062A \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0646\u0645\u0627\u06CC\u0634 \u0636\u0639\u06CC\u0641 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0634\u0648\u062F.",SafariNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u0627\u062A \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0646\u062F.",FirefoxNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647\u0654 MathML \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u062F\u06CC\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",MSIESVGWarning:"SVG \u062F\u0631 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 \u0627\u0632 \u0646\u0633\u062E\u0647\u0654 \u06F9 \u0622\u0646 \u06CC\u0627 \u0648\u0642\u062A\u06CC \u06A9\u0647 \u0634\u0628\u06CC\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0642\u0628\u0644\u06CC \u0631\u0627 \u0645\u06CC\u200C\u06A9\u0646\u062F \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A. \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC SVG \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0634\u0648\u062F \u06A9\u0647 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",LoadURL:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647 \u0627\u0632 \u0627\u06CC\u0646 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC:",BadURL:"\u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0628\u0631\u0627\u06CC \u067E\u0631\u0648\u0646\u062F\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC MathJax \u0631\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u067E\u0631\u0648\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u0628\u0627 \u067E\u0633\u0648\u0646\u062F '.js' \u062A\u0645\u0627\u0645 \u0645\u06CC\u200C\u0634\u0648\u0646\u062F.",BadData:"\u0634\u06A9\u0633\u062A \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC \u0627\u0632 %1",SwitchAnyway:"(\u0628\u0631 \u00AB\u0628\u0627\u0634\u062F\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u0634\u0648\u062F \u0648 \u0628\u0631 \u00AB\u0644\u063A\u0648\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0646\u0645\u0627\u06CC\u0634\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0641\u0639\u0644\u06CC \u0627\u062F\u0627\u0645\u0647 \u06CC\u0627\u0628\u062F)",ScaleMath:"\u0645\u0642\u06CC\u0627\u0633 \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A (\u062F\u0631 \u0645\u0642\u0627\u06CC\u0633\u0647 \u0628\u0627 \u0645\u062A\u0646 \u0627\u0637\u0631\u0627\u0641) \u062A\u0648\u0633\u0637",NonZeroScale:"\u0645\u0642\u06CC\u0627\u0633 \u0646\u0628\u0627\u06CC\u062F \u0635\u0641\u0631 \u0628\u0627\u0634\u062F",PercentScale:"\u0645\u0642\u06CC\u0627\u0633 \u0628\u0627\u06CC\u062F \u062F\u0631\u0635\u062F\u06CC \u0628\u0627\u0634\u062F (\u0628\u0631\u0627\u06CC \u0646\u0645\u0648\u0646\u0647 \u06F1\u06F2\u06F0\u066A)",IE8warning:"\u0627\u06CC\u0646 \u0645\u0646\u0648\u06CC MathJax \u0648 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u0627 \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0622\u0648\u0631\u06CC\u062F.\n\n\u0648\u0627\u0642\u0639\u0627\u064B \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u062A\u0646\u0638\u06CC\u0645\u0627\u062A MathPlayer \u0631\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u062F\u0647\u06CC\u062F\u061F",IE9warning:"\u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC MathJax \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u062E\u0648\u0627\u0647\u062F \u0634\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0628\u06CC\u0627\u0648\u0631\u06CC\u062F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathMenu.js");
+MathJax.Localization.addTranslation("fa","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647\u200C\u0639\u0646\u0648\u0627\u0646",MathMLcode:"\u06A9\u062F MathML",OriginalMathML:"MathML \u0627\u0635\u0644\u06CC",TeXCommands:"\u062F\u0633\u062A\u0648\u0631\u0627\u062A \u062A\u06A9",AsciiMathInput:"\u0648\u0631\u0648\u062F\u06CC AsciiMathML",Original:"\u062D\u0627\u0644\u062A \u0627\u0635\u0644\u06CC",ErrorMessage:"\u067E\u06CC\u0627\u0645 \u062E\u0637\u0627",Annotation:"\u06CC\u0627\u062F\u062F\u0627\u0634\u062A",TeX:"\u062A\u06A9",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML \u0645\u062D\u062A\u0648\u0627",OpenMath:"OpenMath",texHints:"\u0646\u0645\u0627\u06CC\u0634 \u0646\u06A9\u062A\u0647\u200C\u0647\u0627\u06CC \u062A\u06A9 \u062F\u0631 MathML",Settings:"\u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A",ZoomTrigger:"\u0645\u0627\u0634\u0647\u0654 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Hover:"\u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC \u0622\u0646",Click:"\u06A9\u0644\u06CC\u06A9",DoubleClick:"\u062F\u0648\u0628\u0627\u0631 \u06A9\u0644\u06CC\u06A9",NoZoom:"\u0628\u062F\u0648\u0646 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",TriggerRequires:"\u062A\u063A\u06CC\u06CC\u0631 \u062D\u0627\u0644\u062A \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A \u0628\u0647:",Option:"\u06AF\u0632\u06CC\u0646\u0647",Alt:"\u062F\u06AF\u0631\u0633\u0627\u0632",Command:"\u062F\u0633\u062A\u0648\u0631",Control:"\u0645\u0647\u0627\u0631",Shift:"\u062A\u0628\u062F\u06CC\u0644",ZoomFactor:"\u0636\u0631\u06CC\u0628 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Renderer:"\u0627\u0631\u0627\u0626\u0647\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC",MPHandles:"\u0627\u062C\u0627\u0632\u0647\u200C\u0628\u062F\u0647 MathPlayer \u0645\u062F\u06CC\u0631\u06CC\u062A \u06A9\u0646\u062F:",MenuEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0646\u0648",MouseEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647",MenuAndMouse:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0648 \u0645\u0646\u0648",FontPrefs:"\u062A\u0631\u062C\u06CC\u062D\u0627\u062A \u0642\u0644\u0645",ForHTMLCSS:"\u0628\u0631\u0627\u06CC \u0627\u0686\u200C\u062A\u06CC\u200C\u0627\u0645\u200C\u0627\u0644-\u0633\u06CC\u200C\u0627\u0633\u200C\u0627\u0633:",Auto:"\u062E\u0648\u062F\u06A9\u0627\u0631",TeXLocal:"\u062A\u06A9 (\u0645\u062D\u0644\u06CC)",TeXWeb:"\u062A\u06A9 (\u0648\u0628)",TeXImage:"\u062A\u06A9 (\u0646\u06AF\u0627\u0631\u0647)",STIXLocal:"STIX (\u0645\u062D\u0644\u06CC)",STIXWeb:"STIX (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",AsanaMathWeb:"\u0631\u06CC\u0627\u0636\u06CC \u0622\u0633\u0627\u0646\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyrePagellaWeb:"\u06AF\u0631\u06CC \u067E\u0627\u06AF\u0644\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyreTermesWeb:"\u06AF\u06CC\u0631 \u062A\u0631\u0645\u0632 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",LatinModernWeb:"\u0644\u0627\u062A\u06CC\u0646 \u0645\u062F\u0631\u0646 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",NeoEulerWeb:"\u0646\u0626\u0648 \u0627\u0648\u06CC\u0644\u0631 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",ContextMenu:"\u0645\u0646\u0648 \u0645\u062A\u0646\u06CC",Browser:"\u0645\u0631\u0648\u0631\u06AF\u0631",Scale:"\u0645\u0642\u06CC\u0627\u0633\u200C\u062F\u0647\u06CC \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A ...",Discoverable:"\u0628\u0631\u062C\u0633\u062A\u0647\u200C\u0634\u062F\u0646 \u0628\u0627 \u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC\u0634",Locale:"\u0632\u0628\u0627\u0646",LoadLocale:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0627\u0632 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC ...",About:"\u062F\u0631\u0628\u0627\u0631\u0647\u0654 MathJax",Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",localTeXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 \u0645\u062D\u0644\u06CC",webTeXfonts:"\u0628\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645 \u0648\u0628\u06CC \u062A\u06A9",imagefonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC",localSTIXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX \u0645\u062D\u0644\u06CC",webSVGfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC SVG",genericfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0639\u0645\u0648\u0645\u06CC \u06CC\u0648\u0646\u06CC\u06A9\u062F",wofforotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC woff \u06CC\u0627 otf",eotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC eot",svgfonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC svg",WebkitNativeMMLWarning:"\u0628\u0647 \u0646\u0638\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathML \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F\u060C \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0631\u0641\u062A\u0646 \u0628\u0647 \u062D\u0627\u0644\u062A \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0635\u0641\u062D\u0647 \u063A\u06CC\u0631\u0642\u0627\u0628\u0644 \u062E\u0648\u0627\u0646\u062F\u0646 \u0634\u0648\u0646\u062F.",MSIENativeMMLWarning:"\u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0628\u0647 \u0627\u0641\u0632\u0627\u06CC\u0647\u0654 MathPlayer \u0628\u0631\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u062E\u0631\u0648\u062C\u06CC MathML \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A.",OperaNativeMMLWarning:"\u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0627\u067E\u0631\u0627 \u0627\u0632 MathML \u0645\u062D\u062F\u0648\u062F \u0627\u0633\u062A \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0646\u0645\u0627\u06CC\u0634 \u0636\u0639\u06CC\u0641 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0634\u0648\u062F.",SafariNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u0627\u062A \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0646\u062F.",FirefoxNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647\u0654 MathML \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u062F\u06CC\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",MSIESVGWarning:"SVG \u062F\u0631 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 \u0627\u0632 \u0646\u0633\u062E\u0647\u0654 \u06F9 \u0622\u0646 \u06CC\u0627 \u0648\u0642\u062A\u06CC \u06A9\u0647 \u0634\u0628\u06CC\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0642\u0628\u0644\u06CC \u0631\u0627 \u0645\u06CC\u200C\u06A9\u0646\u062F \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A. \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC SVG \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0634\u0648\u062F \u06A9\u0647 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",LoadURL:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647 \u0627\u0632 \u0627\u06CC\u0646 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC:",BadURL:"\u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0628\u0631\u0627\u06CC \u067E\u0631\u0648\u0646\u062F\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC MathJax \u0631\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u067E\u0631\u0648\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u0628\u0627 \u067E\u0633\u0648\u0646\u062F '.js' \u062A\u0645\u0627\u0645 \u0645\u06CC\u200C\u0634\u0648\u0646\u062F.",BadData:"\u0634\u06A9\u0633\u062A \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC \u0627\u0632 %1",SwitchAnyway:"(\u0628\u0631 \u00AB\u0628\u0627\u0634\u062F\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u0634\u0648\u062F \u0648 \u0628\u0631 \u00AB\u0644\u063A\u0648\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0646\u0645\u0627\u06CC\u0634\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0641\u0639\u0644\u06CC \u0627\u062F\u0627\u0645\u0647 \u06CC\u0627\u0628\u062F)",ScaleMath:"\u0645\u0642\u06CC\u0627\u0633 \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A (\u062F\u0631 \u0645\u0642\u0627\u06CC\u0633\u0647 \u0628\u0627 \u0645\u062A\u0646 \u0627\u0637\u0631\u0627\u0641) \u062A\u0648\u0633\u0637",NonZeroScale:"\u0645\u0642\u06CC\u0627\u0633 \u0646\u0628\u0627\u06CC\u062F \u0635\u0641\u0631 \u0628\u0627\u0634\u062F",PercentScale:"\u0645\u0642\u06CC\u0627\u0633 \u0628\u0627\u06CC\u062F \u062F\u0631\u0635\u062F\u06CC \u0628\u0627\u0634\u062F (\u0628\u0631\u0627\u06CC \u0646\u0645\u0648\u0646\u0647 \u06F1\u06F2\u06F0\u066A)",IE8warning:"\u0627\u06CC\u0646 \u0645\u0646\u0648\u06CC MathJax \u0648 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u0627 \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0622\u0648\u0631\u06CC\u062F.\n\n\u0648\u0627\u0642\u0639\u0627\u064B \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u062A\u0646\u0638\u06CC\u0645\u0627\u062A MathPlayer \u0631\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u062F\u0647\u06CC\u062F\u061F",IE9warning:"\u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC MathJax \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u062E\u0648\u0627\u0647\u062F \u0634\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0628\u06CC\u0627\u0648\u0631\u06CC\u062F.",NoOriginalForm:"\u062D\u0627\u0644\u062A \u0627\u0648\u0644\u0628\u0647 \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A",Close:"\u0628\u0633\u062A\u0646",EqSource:"\u0645\u0646\u0628\u0639 \u0645\u0639\u0627\u062F\u0644\u0647\u0654 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathMenu.js");
diff --git a/localization/fa/TeX.js b/localization/fa/TeX.js
index e7caa9fa8..1e4f2e019 100644
--- a/localization/fa/TeX.js
+++ b/localization/fa/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F",MissingReplacementString:"\u0631\u0634\u062A\u0647\u0654 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u062A\u0639\u0631\u06CC\u0641 \u200E%1",MismatchUseDef:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u200E%1 \u0628\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0622\u0646 \u062A\u0637\u0628\u06CC\u0642 \u0646\u062F\u0627\u0631\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",RunawayArgument:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0641\u0631\u0627\u0631 \u0628\u0631\u0627\u06CC \u200E%1\u061F",NoClosingDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647\u0654 \u0628\u0633\u062A\u0646 \u0628\u0631\u0627\u06CC \u200E%1 \u067E\u06CC\u062F\u0627 \u0646\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/TeX.js");
+MathJax.Localization.addTranslation("fa","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F",MissingReplacementString:"\u0631\u0634\u062A\u0647\u0654 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u062A\u0639\u0631\u06CC\u0641 \u200E%1",MismatchUseDef:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u200E%1 \u0628\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0622\u0646 \u062A\u0637\u0628\u06CC\u0642 \u0646\u062F\u0627\u0631\u062F",RunawayArgument:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0641\u0631\u0627\u0631 \u0628\u0631\u0627\u06CC \u200E%1\u061F",NoClosingDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647\u0654 \u0628\u0633\u062A\u0646 \u0628\u0631\u0627\u06CC \u200E%1 \u067E\u06CC\u062F\u0627 \u0646\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/TeX.js");
diff --git a/localization/fa/fa.js b/localization/fa/fa.js
index be5a8a564..2c816ca65 100644
--- a/localization/fa/fa.js
+++ b/localization/fa/fa.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa",null,{menuTitle:"\u0641\u0627\u0631\u0633\u06CC",fontDirection:"rtl",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax \u06CC\u06A9 \u06A9\u0644\u0648\u0686\u06A9 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u06A9\u0627\u0631\u0628\u0631\u06CC \u06CC\u0627\u0641\u062A \u06A9\u0647 \u0634\u0627\u0645\u0644 \u06A9\u062F \u0627\u062C\u0631\u0627\u06CC\u06CC \u0627\u0633\u062A. \u0622\u06CC\u0627 \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u0622\u0646 \u0631\u0627 \u0627\u062C\u0631\u0627 \u06A9\u0646\u06CC\u062F\u061F\n\n(\u0628\u0647\u062A\u0631 \u0627\u0633\u062A \u0628\u0631 \u0644\u063A\u0648 \u0628\u0641\u0634\u0627\u0631\u06CC\u062F \u0645\u06AF\u0631 \u0627\u06CC\u0646\u06A9\u0647 \u062E\u0648\u062F\u062A\u0627\u0646 \u06A9\u0644\u0648\u0686\u06A9 \u0631\u0627 \u062A\u0646\u0638\u06CC\u0645\u200C\u06A9\u0631\u062F\u0647\u200C\u0627\u06CC\u062F.)",MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062D\u0637\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/fa.js");
+MathJax.Localization.addTranslation("fa",null,{menuTitle:"\u0641\u0627\u0631\u0633\u06CC",fontDirection:"rtl",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax \u06CC\u06A9 \u06A9\u0644\u0648\u0686\u06A9 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u06A9\u0627\u0631\u0628\u0631\u06CC \u06CC\u0627\u0641\u062A \u06A9\u0647 \u0634\u0627\u0645\u0644 \u06A9\u062F \u0627\u062C\u0631\u0627\u06CC\u06CC \u0627\u0633\u062A. \u0622\u06CC\u0627 \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u0622\u0646 \u0631\u0627 \u0627\u062C\u0631\u0627 \u06A9\u0646\u06CC\u062F\u061F\n\n(\u0628\u0647\u062A\u0631 \u0627\u0633\u062A \u0628\u0631 \u0644\u063A\u0648 \u0628\u0641\u0634\u0627\u0631\u06CC\u062F \u0645\u06AF\u0631 \u0627\u06CC\u0646\u06A9\u0647 \u062E\u0648\u062F\u062A\u0627\u0646 \u06A9\u0644\u0648\u0686\u06A9 \u0631\u0627 \u062A\u0646\u0638\u06CC\u0645\u200C\u06A9\u0631\u062F\u0647\u200C\u0627\u06CC\u062F.)",MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062D\u0637\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/fa.js");
diff --git a/localization/fi/FontWarnings.js b/localization/fi/FontWarnings.js
index 8ccfaf4b9..bc2f46d3c 100644
--- a/localization/fi/FontWarnings.js
+++ b/localization/fi/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/FontWarnings.js");
+MathJax.Localization.addTranslation("fi","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/FontWarnings.js");
diff --git a/localization/fi/HTML-CSS.js b/localization/fi/HTML-CSS.js
index cdced117b..17d588941 100644
--- a/localization/fi/HTML-CSS.js
+++ b/localization/fi/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HTML-CSS.js");
+MathJax.Localization.addTranslation("fi","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HTML-CSS.js");
diff --git a/localization/fi/HelpDialog.js b/localization/fi/HelpDialog.js
index 51a6a9bc0..4179c6181 100644
--- a/localization/fi/HelpDialog.js
+++ b/localization/fi/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HelpDialog.js");
+MathJax.Localization.addTranslation("fi","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HelpDialog.js");
diff --git a/localization/fi/MathML.js b/localization/fi/MathML.js
index 069359bb8..a00ab1f98 100644
--- a/localization/fi/MathML.js
+++ b/localization/fi/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathML.js");
+MathJax.Localization.addTranslation("fi","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathML.js");
diff --git a/localization/fi/MathMenu.js b/localization/fi/MathMenu.js
index a2d9c95e7..76cb6be51 100644
--- a/localization/fi/MathMenu.js
+++ b/localization/fi/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","MathMenu",{version:"2.3",isLoaded:true,strings:{MathMLcode:"MathML-koodi",OriginalMathML:"Alkuper\u00E4inen MathML",TeXCommands:"TeX-komennot",AsciiMathInput:"AsciiMathML-sy\u00F6te",Original:"Alkuper\u00E4inen muoto",ErrorMessage:"Virheviesti",Annotation:"Huomautus",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"N\u00E4yt\u00E4 TeX-vihjeet MathML:ss\u00E4",Settings:"Matematiikan asetukset",ZoomTrigger:"Loitonnustapa",Hover:"Kursorin vienti ylle",Click:"Napsautus",DoubleClick:"Kaksoisnapsautus",NoZoom:"Ei loitonnustapaa",TriggerRequires:"Tapa vaatii:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Loitonnuskerroin",MPHandles:"Anna MathPlayerin k\u00E4sitell\u00E4",MenuEvents:"Valikkotapahtumat",MouseEvents:"Hiiritapahtumat",MenuAndMouse:"Hiiri- ja valikkotapahtumat",FontPrefs:"Kirjasinasetukset",ForHTMLCSS:"HTML-CSS:lle:",Auto:"Automaattinen",TeXLocal:"TeX (paikallinen)",TeXWeb:"TeX (verkko)",TeXImage:"TeX (kuva)",STIXLocal:"STIX (paikallinen)",ContextMenu:"Ponnahdusvalikko",Browser:"Selain",Scale:"Skaalaa kaikki matematiikka...",Discoverable:"Korosta kun kursori tuodaan ylle",Locale:"Kieli",LoadLocale:"Lataa osoitteesta...",About:"Tietoja MathJaxista",Help:"MathJaxin ohje",localTeXfonts:"k\u00E4ytt\u00E4en paikallisia TeX-kirjasimia",webTeXfonts:"k\u00E4ytt\u00E4en verkon TeX-kirjasimia",imagefonts:"K\u00E4ytt\u00E4en kuvakirjasimia",localSTIXfonts:"k\u00E4ytt\u00E4en paikallisia STIX-kirjasimia",webSVGfonts:"k\u00E4ytt\u00E4en verkon SVG-kirjasimia",genericfonts:"k\u00E4ytt\u00E4en geneerisi\u00E4 unicode-kirjasimia",wofforotffonts:"woff- tai otf-kirjasimia",eotffonts:"eot-kirjasimia",svgfonts:"svg-kirjasimia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathMenu.js");
+MathJax.Localization.addTranslation("fi","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{MathMLcode:"MathML-koodi",OriginalMathML:"Alkuper\u00E4inen MathML",TeXCommands:"TeX-komennot",AsciiMathInput:"AsciiMathML-sy\u00F6te",Original:"Alkuper\u00E4inen muoto",ErrorMessage:"Virheviesti",Annotation:"Huomautus",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"N\u00E4yt\u00E4 TeX-vihjeet MathML:ss\u00E4",Settings:"Matematiikan asetukset",ZoomTrigger:"Loitonnustapa",Hover:"Kursorin vienti ylle",Click:"Napsautus",DoubleClick:"Kaksoisnapsautus",NoZoom:"Ei loitonnustapaa",TriggerRequires:"Tapa vaatii:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Loitonnuskerroin",MPHandles:"Anna MathPlayerin k\u00E4sitell\u00E4",MenuEvents:"Valikkotapahtumat",MouseEvents:"Hiiritapahtumat",MenuAndMouse:"Hiiri- ja valikkotapahtumat",FontPrefs:"Kirjasinasetukset",ForHTMLCSS:"HTML-CSS:lle:",Auto:"Automaattinen",TeXLocal:"TeX (paikallinen)",TeXWeb:"TeX (verkko)",TeXImage:"TeX (kuva)",STIXLocal:"STIX (paikallinen)",ContextMenu:"Ponnahdusvalikko",Browser:"Selain",Scale:"Skaalaa kaikki matematiikka...",Discoverable:"Korosta kun kursori tuodaan ylle",Locale:"Kieli",LoadLocale:"Lataa osoitteesta...",About:"Tietoja MathJaxista",Help:"MathJaxin ohje",localTeXfonts:"k\u00E4ytt\u00E4en paikallisia TeX-kirjasimia",webTeXfonts:"k\u00E4ytt\u00E4en verkon TeX-kirjasimia",imagefonts:"K\u00E4ytt\u00E4en kuvakirjasimia",localSTIXfonts:"k\u00E4ytt\u00E4en paikallisia STIX-kirjasimia",webSVGfonts:"k\u00E4ytt\u00E4en verkon SVG-kirjasimia",genericfonts:"k\u00E4ytt\u00E4en geneerisi\u00E4 unicode-kirjasimia",wofforotffonts:"woff- tai otf-kirjasimia",eotffonts:"eot-kirjasimia",svgfonts:"svg-kirjasimia",Close:"Sulje"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathMenu.js");
diff --git a/localization/fi/TeX.js b/localization/fi/TeX.js
index 4edd05e9e..dfafd78c8 100644
--- a/localization/fi/TeX.js
+++ b/localization/fi/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/TeX.js");
+MathJax.Localization.addTranslation("fi","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/TeX.js");
diff --git a/localization/fi/fi.js b/localization/fi/fi.js
index 38b916edd..81b37a710 100644
--- a/localization/fi/fi.js
+++ b/localization/fi/fi.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi",null,{menuTitle:"suomi",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax on l\u00F6yt\u00E4nyt ev\u00E4steen, joka sis\u00E4lt\u00E4\u00E4 asetuksia ja ohjelmakoodia. Haluatko ajaa sen?\n\n(Peru, ellet ole luonut ev\u00E4stett\u00E4 itse.)",MathProcessingError:"Matematiikan k\u00E4sittely ep\u00E4onnistui",MathError:"Matematiikkavirhe",LoadFile:"Ladataan tiedostoa %1",Loading:"Ladataan",LoadFailed:"Tiedoston %1 lataaminen ep\u00E4onnistui",ProcessMath:"K\u00E4sitell\u00E4\u00E4n matematiikkaa: %1%%",Processing:"K\u00E4sitell\u00E4\u00E4n",TypesetMath:"Ladotaan matematiikkaa: %1%%",Typesetting:"Ladotaan",MathJaxNotSupported:"Selaimesi ei tue MathJaxia"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/fi.js");
+MathJax.Localization.addTranslation("fi",null,{menuTitle:"suomi",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax on l\u00F6yt\u00E4nyt ev\u00E4steen, joka sis\u00E4lt\u00E4\u00E4 asetuksia ja ohjelmakoodia. Haluatko ajaa sen?\n\n(Peru, ellet ole luonut ev\u00E4stett\u00E4 itse.)",MathProcessingError:"Matematiikan k\u00E4sittely ep\u00E4onnistui",MathError:"Matematiikkavirhe",LoadFile:"Ladataan tiedostoa %1",Loading:"Ladataan",LoadFailed:"Tiedoston %1 lataaminen ep\u00E4onnistui",ProcessMath:"K\u00E4sitell\u00E4\u00E4n matematiikkaa: %1%%",Processing:"K\u00E4sitell\u00E4\u00E4n",TypesetMath:"Ladotaan matematiikkaa: %1%%",Typesetting:"Ladotaan",MathJaxNotSupported:"Selaimesi ei tue MathJaxia"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/fi.js");
diff --git a/localization/fr/FontWarnings.js b/localization/fr/FontWarnings.js
index 3e6b89529..4417eaff7 100644
--- a/localization/fr/FontWarnings.js
+++ b/localization/fr/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax utilise les polices Web pour afficher les expressions math\u00E9matiques sur cette page. Celles-ci mettent du temps \u00E0 \u00EAtre t\u00E9l\u00E9charg\u00E9es et la page serait affich\u00E9e plus rapidement si vous installiez les polices math\u00E9matiques directement dans le dossier des polices de votre syst\u00E8me.",imageFonts:"MathJax utilise des images de caract\u00E8res plut\u00F4t que les polices Web ou locales. Ceci rend le rendu plus lent que la normale et les expressions math\u00E9matiques peuvent ne pas s'imprimer \u00E0 la r\u00E9solution maximale de votre imprimante",noFonts:"MathJax est incapable de localiser une police \u00E0 utiliser pour afficher ses math\u00E9matiques, et les polices image ne sont pas disponibles, donc il doit se rabattre sur les caract\u00E8res unicode en esp\u00E9rant que votre navigateur pourra les afficher. Certains caract\u00E8res peuvent ne pas s\u2019afficher correctement, voire m\u00EAme pas du tout.",webFonts:"La plupart des navigateurs modernes permettent de t\u00E9l\u00E9charger des polices depuis le web. Mettre \u00E0 jour votre navigateur vers une version plus r\u00E9cente (ou changer de navigateur) pourrait am\u00E9liorer la qualit\u00E9 des math\u00E9matiques sur cette page.",fonts:"MathJax peut utiliser soit les [polices STIX](%1) soit les [polices TeX MathJax](%2). T\u00E9l\u00E9chargez et installez une de ces polices pour am\u00E9liorer votre ressenti avec MathJax.",STIXPage:"Cette page est con\u00E7ue pour utiliser les [polices STIX](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax.",TeXPage:"Cette page est con\u00E7ue pour utiliser les [polices TeX MathJax](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/FontWarnings.js");
+MathJax.Localization.addTranslation("fr","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax utilise les polices web pour afficher les expressions math\u00E9matiques sur cette page. Celles-ci mettent du temps \u00E0 \u00EAtre t\u00E9l\u00E9charg\u00E9es et la page serait affich\u00E9e plus rapidement si vous installiez les polices math\u00E9matiques directement dans le dossier des polices de votre syst\u00E8me.",imageFonts:"MathJax utilise des images de caract\u00E8res plut\u00F4t que les polices web ou locales. Ceci rend le rendu plus lent que la normale et les expressions math\u00E9matiques peuvent ne pas s'imprimer \u00E0 la r\u00E9solution maximale de votre imprimante",noFonts:"MathJax est incapable de localiser une police \u00E0 utiliser pour afficher ses math\u00E9matiques, et les polices image ne sont pas disponibles, donc il doit se rabattre sur les caract\u00E8res unicode en esp\u00E9rant que votre navigateur pourra les afficher. Certains caract\u00E8res peuvent ne pas s\u2019afficher correctement, voire m\u00EAme pas du tout.",webFonts:"La plupart des navigateurs modernes permettent de t\u00E9l\u00E9charger des polices depuis le web. Mettre \u00E0 jour votre navigateur (ou changer de navigateur) pourrait am\u00E9liorer la qualit\u00E9 des math\u00E9matiques sur cette page.",fonts:"MathJax peut utiliser soit les [polices STIX](%1) soit les [polices TeX MathJax](%2). T\u00E9l\u00E9chargez et installez une de ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax.",STIXPage:"Cette page est con\u00E7ue pour utiliser les [polices STIX](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax.",TeXPage:"Cette page est con\u00E7ue pour utiliser les [polices TeX MathJax](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/FontWarnings.js");
diff --git a/localization/fr/HTML-CSS.js b/localization/fr/HTML-CSS.js
index 26df50b98..c385a70db 100644
--- a/localization/fr/HTML-CSS.js
+++ b/localization/fr/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"T\u00E9l\u00E9chargement de la police Web %1",CantLoadWebFont:"Impossible de t\u00E9l\u00E9charger la police Web %1",FirefoxCantLoadWebFont:"Firefox ne peut pas charger les polices web depuis un h\u00F4te distant",CantFindFontUsing:"Impossible de trouver une police valide en utilisant %1",WebFontsNotAvailable:"Polices web non disponibles -- les polices image seront utilis\u00E9es \u00E0 la place"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HTML-CSS.js");
+MathJax.Localization.addTranslation("fr","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"T\u00E9l\u00E9chargement de la police web %1",CantLoadWebFont:"Impossible de t\u00E9l\u00E9charger la police web %1",FirefoxCantLoadWebFont:"Firefox ne peut pas charger les polices web depuis un h\u00F4te distant",CantFindFontUsing:"Impossible de trouver une police valide en utilisant %1",WebFontsNotAvailable:"Polices web non disponibles. Les polices image seront utilis\u00E9es \u00E0 la place"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HTML-CSS.js");
diff --git a/localization/fr/HelpDialog.js b/localization/fr/HelpDialog.js
index c7e757aa7..7e85e7f05 100644
--- a/localization/fr/HelpDialog.js
+++ b/localization/fr/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"Aide MathJax",MathJax:"*MathJax* est une biblioth\u00E8que JavaScript qui permet aux auteurs de pages d\u2019inclure des maths dans leurs pages web. En tant que lecteur, vous n\u2019avez rien besoin de faire pour que cela fonctionne.",Browsers:"*Navigateurs*: MathJax fonctionne avec tous les navigateurs modernes y compris Internet Explorer 6, Firefox 3, Chrome 0.2, Safari 2, Opera 9.6 et leurs versions sup\u00E9rieures ainsi que la plupart des navigateurs pour mobiles et tablettes.",Menu:"*Math Menu*: MathJax ajoute un menu contextuel aux \u00E9quations. Cliquez-droit ou CTRL-cliquez sur n\u2019importe quelle formule math\u00E9matique pour acc\u00E9der au menu.",ShowMath:"*Afficher les maths comme* vous permet d\u2019afficher le balisage source de la formule pour copier-coller (comme MathML ou dans son format d\u2019origine).",Settings:"*Param\u00E8tres* vous donne le contr\u00F4le sur les fonctionnalit\u00E9s de MathJax, comme la taille des math\u00E9matiques, et le m\u00E9canisme utilis\u00E9 pour afficher les \u00E9quations.",Language:"*Langue* vous laisse s\u00E9lectionner la langue utilis\u00E9e par MathJax pour ses menus et ses messages d\u2019avertissement.",Zoom:"*Zoom des maths*: Si vous avez des difficult\u00E9s \u00E0 lire une \u00E9quation, MathJax peut l\u2019agrandir pour vous aider \u00E0 mieux la voir.",Accessibilty:"*Accessibilit\u00E9*: MathJax travaillera automatiquement avec les lecteurs d\u2019\u00E9cran pour rendre les math\u00E9matiques accessibles aux malvoyants.",Fonts:"*Polices*: MathJax utilisera certaines polices math\u00E9matiques si elles sont install\u00E9es sur votre ordinateur\u202F; sinon, il utilisera les polices trouv\u00E9es sur le web. Bien que ce ne soit pas obligatoire, des polices install\u00E9es localement acc\u00E9l\u00E9reront la composition. Nous vous sugg\u00E9rons d\u2019installer les [polices STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HelpDialog.js");
+MathJax.Localization.addTranslation("fr","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Aide MathJax",MathJax:"*MathJax* est une biblioth\u00E8que JavaScript qui permet aux auteurs de pages d\u2019inclure des math\u00E9matiques dans leurs pages web. En tant que lecteur, vous n\u2019avez rien besoin de faire pour que cela fonctionne.",Browsers:"*Navigateurs*: MathJax fonctionne avec tous les navigateurs modernes y compris Internet Explorer 6, Firefox 3, Chrome 0.2, Safari 2, Opera 9.6 et leurs versions sup\u00E9rieures ainsi que la plupart des navigateurs pour mobiles et tablettes.",Menu:"*Menu math*: MathJax ajoute un menu contextuel aux \u00E9quations. Cliquez-droit ou Ctrl-cliquez sur n\u2019importe quelle formule math\u00E9matique pour acc\u00E9der au menu.",ShowMath:"*Afficher les maths comme* vous permet d\u2019afficher le balisage source de la formule pour copier-coller (comme MathML ou dans son format d\u2019origine).",Settings:"*Param\u00E8tres* vous donne le contr\u00F4le sur les fonctionnalit\u00E9s de MathJax, comme la taille des math\u00E9matiques, et le m\u00E9canisme utilis\u00E9 pour afficher les \u00E9quations.",Language:"*Langue* vous laisse s\u00E9lectionner la langue utilis\u00E9e par MathJax pour ses menus et ses messages d\u2019avertissement.",Zoom:"*Zoom des maths*: Si vous avez des difficult\u00E9s \u00E0 lire une \u00E9quation, MathJax peut l\u2019agrandir pour vous aider \u00E0 mieux la voir.",Accessibilty:"*Accessibilit\u00E9*: MathJax travaillera automatiquement avec les lecteurs d\u2019\u00E9cran pour rendre les math\u00E9matiques accessibles aux malvoyants.",Fonts:"*Polices*: MathJax utilisera certaines polices math\u00E9matiques si elles sont install\u00E9es sur votre ordinateur\u202F; sinon, il utilisera les polices trouv\u00E9es sur le web. Bien que ce ne soit pas obligatoire, des polices install\u00E9es localement acc\u00E9l\u00E9reront la composition. Nous vous sugg\u00E9rons d\u2019installer les [polices STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HelpDialog.js");
diff --git a/localization/fr/MathML.js b/localization/fr/MathML.js
index 9f01b20ad..3c2d51792 100644
--- a/localization/fr/MathML.js
+++ b/localization/fr/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"\u00C9lement mglyph incorrect: %1",BadMglyphFont:"Police non valide : %1",MathPlayer:"MathJax n\u2019a pas pu configurer MathPlayer.\n\nSi MathPlayer n\u2019est pas install\u00E9, vous devez d\u2019abord le faire.\nSinon, il se peut que vos param\u00E8tres de s\u00E9curit\u00E9 emp\u00EAchent l\u2019ex\u00E9cution des contr\u00F4les ActiveX. Utilisez l\u2019entr\u00E9e Options Internet sous le menu Outils et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis cliquez le bouton \u00AB Personnaliser le niveau \u00BB. V\u00E9rifiez que les param\u00E8tres pour 'Ex\u00E9cuter les contr\u00F4les ActiveX', et 'Comportement de fichiers binaires et des scripts' sont activ\u00E9s.\n\nPour le moment, vous verrez des messages d\u2019erreur au lieu de math\u00E9matiques compos\u00E9es.",CantCreateXMLParser:"MathJax ne peut pas cr\u00E9er un analyseur XML pour MathML. V\u00E9rifiez que l\u2019option de s\u00E9curit\u00E9 'Contr\u00F4les ActiveX reconnus s\u00FBrs pour l\u2019\u00E9criture de scripts' est activ\u00E9e (utilisez l\u2019entr\u00E9e Options Internet dans le menu Outils, et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis appuyez sur le bouton Personnaliser le niveau, pour le v\u00E9rifier).",UnknownNodeType:"Type de n\u0153ud inconnu : %1",UnexpectedTextNode:"N\u0153ud de texte inattendu : %1",ErrorParsingMathML:"Erreur lors de l\u2019analyse de MathML",ParsingError:"Erreur d\u2019analyse de MathML : %1",MathMLSingleElement:"MathML doit \u00EAtre form\u00E9 d\u2019un unique \u00E9l\u00E9ment",MathMLRootElement:"MathML doit \u00EAtre form\u00E9 d\u2019un \u00E9l\u00E9ment \u003Cmath\u003E, et pas %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathML.js");
+MathJax.Localization.addTranslation("fr","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u00C9lement mglyph incorrect: %1",BadMglyphFont:"Police non valide : %1",MathPlayer:"MathJax n\u2019a pas pu configurer MathPlayer.\n\nSi MathPlayer n\u2019est pas install\u00E9, vous devez d\u2019abord le faire.\nSinon, il se peut que vos param\u00E8tres de s\u00E9curit\u00E9 emp\u00EAchent l\u2019ex\u00E9cution des contr\u00F4les ActiveX. Utilisez l\u2019entr\u00E9e Options Internet sous le menu Outils et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis cliquez le bouton \u00AB Personnaliser le niveau \u00BB. V\u00E9rifiez que les param\u00E8tres pour 'Ex\u00E9cuter les contr\u00F4les ActiveX', et 'Comportement de fichiers binaires et des scripts' sont activ\u00E9s.\n\nPour le moment, vous verrez des messages d\u2019erreur au lieu de textes math\u00E9matiques.",CantCreateXMLParser:"MathJax ne peut pas cr\u00E9er un analyseur XML pour MathML. V\u00E9rifiez que l\u2019option de s\u00E9curit\u00E9 'Contr\u00F4les ActiveX reconnus s\u00FBrs pour l\u2019\u00E9criture de scripts' est activ\u00E9e (utilisez l\u2019entr\u00E9e Options Internet dans le menu Outils, et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis appuyez sur le bouton Personnaliser le niveau, pour le v\u00E9rifier).",UnknownNodeType:"Type de n\u0153ud inconnu : %1",UnexpectedTextNode:"N\u0153ud de texte inattendu : %1",ErrorParsingMathML:"Erreur lors de l\u2019analyse de MathML",ParsingError:"Erreur d\u2019analyse de MathML : %1",MathMLSingleElement:"MathML doit \u00EAtre form\u00E9 d\u2019un unique \u00E9l\u00E9ment",MathMLRootElement:"MathML doit \u00EAtre form\u00E9 d\u2019un \u00E9l\u00E9ment \u003Cmath\u003E, et pas %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathML.js");
diff --git a/localization/fr/MathMenu.js b/localization/fr/MathMenu.js
index 9b1393014..c29a0c87b 100644
--- a/localization/fr/MathMenu.js
+++ b/localization/fr/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Afficher sous forme",MathMLcode:"Code MathML",OriginalMathML:"MathML d\u2019origine",TeXCommands:"Commandes TeX",AsciiMathInput:"entr\u00E9e AsciiMathML",Original:"Format d\u2019origine",ErrorMessage:"Message d\u2019erreur",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contenu",OpenMath:"OpenMath",texHints:"Afficher les aides TeX en MathML",Settings:"Param\u00E9trages des maths",ZoomTrigger:"D\u00E9clencheur de zoom",Hover:"Survol",Click:"Clic",DoubleClick:"Double-clic",NoZoom:"Pas de zoom",TriggerRequires:"Le d\u00E9clencheur n\u00E9cessite :",Option:"Option",Alt:"Alt",Command:"Commande",Control:"Contr\u00F4le",Shift:"Shift",ZoomFactor:"Facteur de grossissement",Renderer:"Rendu math\u00E9matique",MPHandles:"Laisser MathPlayer g\u00E9rer :",MenuEvents:"\u00C9v\u00E9nements de menu",MouseEvents:"\u00C9v\u00E9nements de souris",MenuAndMouse:"\u00C9v\u00E9nements de souris et de menu",FontPrefs:"Pr\u00E9f\u00E9rences de police",ForHTMLCSS:"Pour HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",ContextMenu:"Menu contextuel",Browser:"Navigateur",Scale:"Mettre tous les maths \u00E0 l\u2019\u00E9chelle\u2026",Discoverable:"Surligner au survol",Locale:"Langue",LoadLocale:"Charger depuis l\u2019URL\u2026",About:"\u00C0 propos de MathJax",Help:"Aide de MathJax",localTeXfonts:"utiliser les polices TeX locales",webTeXfonts:"utiliser les polices TeX du web",imagefonts:"utiliser les polices Image",localSTIXfonts:"utiliser les polices STIX locales",webSVGfonts:"utiliser les polices SVG  du web",genericfonts:"utiliser les polices unicode g\u00E9n\u00E9riques",wofforotffonts:"polices woff ou otf",eotffonts:"polices eot",svgfonts:"polices svg",WebkitNativeMMLWarning:"Votre navigateur ne semble pas prendre en charge MathML en natif, donc basculer sur MathML en sortie pourrait rendre les math\u00E9matiques illisibles sur cette page.",MSIENativeMMLWarning:"Internet Explorer n\u00E9cessite le module MathPlayer pour traiter les sorties MathML.",OperaNativeMMLWarning:"La prise en charge de MathML par Op\u00E9ra est limit\u00E9e, donc passer sur du MathML en sortie pourrait rendre certaines expressions peu lisibles.",SafariNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s utilis\u00E9s par MathJax, donc certaines expressions pourraient ne pas \u00EAtre affich\u00E9es correctement.",FirefoxNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s de MathJax, donc certaines expressions pourraient \u00EAtre mal affich\u00E9es.",MSIESVGWarning:"SVG n\u2019est pas pris en charge par Internet Explorer avant la version 9 (ni dans l\u2019\u00E9mulation de IE8 ou inf\u00E9rieur, par cons\u00E9quent). Basculer sur SVG en sortie pourrait faire que les math\u00E9matiques s\u2019affichent mal.",LoadURL:"Charger les donn\u00E9es de traduction depuis cette URL :",BadURL:"L\u2019URL devrait \u00EAtre un fichier javascript qui d\u00E9finit les donn\u00E9es de traduction de MathJax. Les noms de fichier Javascript devraient se terminer par '.js'",BadData:"\u00C9chec du chargement des donn\u00E9es de traduction depuis %1",SwitchAnyway:"Basculer tout de m\u00EAme le rendu\u202F?\n\n(Cliquez OK pour basculer, ANNULER pour continuer avec le rendu actuel)",ScaleMath:"Mettre \u00E0 l\u2019\u00E9chelle toutes les math\u00E9matiques (par rapport au texte environnant) de",NonZeroScale:"L\u2019\u00E9chelle ne devrait pas \u00EAtre z\u00E9ro",PercentScale:"L\u2019\u00E9chelle devrait \u00EAtre un pourcentage (par ex., 120%%)",IE8warning:"Cela d\u00E9sactivera le menu MathJax et les fonctionnalit\u00E9s de zoom, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",IE9warning:"Le menu contextuel MathJax sera d\u00E9sactiv\u00E9, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",NoOriginalForm:"Aucun format d\u2019origine disponible",Close:"Fermer",EqSource:"Source de l\u2019\u00E9quation MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathMenu.js");
+MathJax.Localization.addTranslation("fr","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Afficher sous forme",MathMLcode:"Code MathML",OriginalMathML:"MathML d\u2019origine",TeXCommands:"Commandes TeX",AsciiMathInput:"entr\u00E9e AsciiMathML",Original:"Format d\u2019origine",ErrorMessage:"Message d\u2019erreur",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contenu",OpenMath:"OpenMath",texHints:"Afficher les aides TeX en MathML",Settings:"Param\u00E9trages des maths",ZoomTrigger:"D\u00E9clencheur de zoom",Hover:"Survol",Click:"Clic",DoubleClick:"Double-clic",NoZoom:"Pas de zoom",TriggerRequires:"Le d\u00E9clencheur n\u00E9cessite :",Option:"Option",Alt:"Alt",Command:"Commande",Control:"Contr\u00F4le",Shift:"Maj",ZoomFactor:"Facteur de grossissement",Renderer:"Outil de rendu math\u00E9matique",MPHandles:"Laisser MathPlayer g\u00E9rer :",MenuEvents:"\u00C9v\u00E9nements de menu",MouseEvents:"\u00C9v\u00E9nements de souris",MenuAndMouse:"\u00C9v\u00E9nements de souris et de menu",FontPrefs:"Pr\u00E9f\u00E9rences de police",ForHTMLCSS:"Pour HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu contextuel",Browser:"Navigateur",Scale:"Mettre tous les maths \u00E0 l\u2019\u00E9chelle\u2026",Discoverable:"Surligner au survol",Locale:"Langue",LoadLocale:"Charger depuis l\u2019URL\u2026",About:"\u00C0 propos de MathJax",Help:"Aide de MathJax",localTeXfonts:"utiliser les polices TeX locales",webTeXfonts:"utiliser les polices TeX du web",imagefonts:"utiliser les polices Image",localSTIXfonts:"utiliser les polices STIX locales",webSVGfonts:"utiliser les polices SVG  du web",genericfonts:"utiliser les polices Unicode g\u00E9n\u00E9riques",wofforotffonts:"polices WOFF ou OTF",eotffonts:"polices EOT",svgfonts:"polices SVG",WebkitNativeMMLWarning:"Votre navigateur ne semble pas prendre en charge MathML en natif, donc basculer sur MathML en sortie pourrait rendre les math\u00E9matiques illisibles sur cette page.",MSIENativeMMLWarning:"Internet Explorer n\u00E9cessite le module MathPlayer pour traiter les sorties MathML.",OperaNativeMMLWarning:"La prise en charge de MathML par Opera est limit\u00E9e, donc passer sur du MathML en sortie pourrait rendre certaines expressions peu lisibles.",SafariNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s utilis\u00E9s par MathJax, donc certaines expressions pourraient ne pas \u00EAtre affich\u00E9es correctement.",FirefoxNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s de MathJax, donc certaines expressions pourraient \u00EAtre mal affich\u00E9es.",MSIESVGWarning:"SVG n\u2019est pas pris en charge par Internet Explorer avant la version 9 (ni dans l\u2019\u00E9mulation de IE8 ou inf\u00E9rieur, par cons\u00E9quent). Basculer sur SVG en sortie pourrait faire que les math\u00E9matiques s\u2019affichent mal.",LoadURL:"Charger les donn\u00E9es de traduction depuis cette URL :",BadURL:"L\u2019URL devrait \u00EAtre un fichier JavaScript qui d\u00E9finit les donn\u00E9es de traduction de MathJax. Les noms de fichier JavaScript devraient se terminer par '.js'",BadData:"\u00C9chec du chargement des donn\u00E9es de traduction depuis %1",SwitchAnyway:"Basculer tout de m\u00EAme le rendu\u202F?\n\n(Cliquez OK pour basculer, ANNULER pour continuer avec le rendu actuel)",ScaleMath:"Mettre \u00E0 l\u2019\u00E9chelle toutes les math\u00E9matiques (par rapport au texte environnant) de",NonZeroScale:"L\u2019\u00E9chelle ne devrait pas \u00EAtre z\u00E9ro",PercentScale:"L\u2019\u00E9chelle devrait \u00EAtre un pourcentage (par exemple, 120%%)",IE8warning:"Cela d\u00E9sactivera le menu MathJax et les fonctionnalit\u00E9s de zoom, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",IE9warning:"Le menu contextuel MathJax sera d\u00E9sactiv\u00E9, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",NoOriginalForm:"Aucun format d\u2019origine disponible",Close:"Fermer",EqSource:"Source de l\u2019\u00E9quation MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathMenu.js");
diff --git a/localization/fr/TeX.js b/localization/fr/TeX.js
index 444ece024..4e226efe3 100644
--- a/localization/fr/TeX.js
+++ b/localization/fr/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Accolade ouvrante manquante ou accolade fermante non attendue",ExtraCloseMissingOpen:"Accolade fermante non attendue ou accolade ouvrante manquante",MissingLeftExtraRight:"Commande \\left manquante ou commande \\right non attendue",MissingScript:"Argument en exposant ou en indice manquant",ExtraLeftMissingRight:"Commande \\left inattendue ou commande \\right manquante",Misplaced:"Mauvaise position pour la commande %1",MissingOpenForSub:"Accolade ouvrante manquante pour le script en indice",MissingOpenForSup:"Accolade ouvrante manquante pour le script en exposant",AmbiguousUseOf:"Usage ambigu de la commande %1",EnvBadEnd:"\\begin{%1} s'est termin\u00E9 par un \\end{%2}",EnvMissingEnd:"\\end{%1} manquant",MissingBoxFor:"Boite manquante pour la commande %1",MissingCloseBrace:"Accolade fermante manquante",UndefinedControlSequence:"Commande %1 non d\u00E9finie",IllegalControlSequenceName:"Nom de contr\u00F4le de s\u00E9quence non autoris\u00E9 pour la commande %1",IllegalParamNumber:"Nombre de param\u00E8tres incorrect pour la commande %1",DoubleExponent:"Double exposant: utilisez des accolades pour clarifier",DoubleSubscripts:"Double indice: utilisez des accolades pour clarifier",DoubleExponentPrime:"Un prime entra\u00EEne un double exposant : utilisez des accolades pour clarifier",CantUseHash1:"Vous ne pouvez pas utilisez le caract\u00E8re #, indiquant un param\u00E8tre de macro, dans le mode math\u00E9matique",CantUseHash2:"Usage du caract\u00E8re # non autoris\u00E9 dans le mod\u00E8le pour la s\u00E9quence de contr\u00F4le %1",MisplacedMiddle:"La commande %1 doit \u00EAtre plac\u00E9e \u00E0 l\u2019int\u00E9rieur d\u2019une section \\left ... \\right",MisplacedLimits:"La commande %1 n'est autoris\u00E9e que sur les op\u00E9rateurs",MisplacedMoveRoot:"La commande %1 n'est autoris\u00E9e qu'\u00E0 l'int\u00E9rieur d'une racine",MultipleCommand:"Usage multiple de la commande %1",IntegerArg:"L\u2019argument de la commande %1 doit \u00EAtre un entier",PositiveIntegerArg:"L'argument de la commande %1 doit \u00EAtre un entier strictement positif",NotMathMLToken:"L'\u00E9l\u00E9ment %1 n'est pas un \u00E9l\u00E9ment MathML \u00E9l\u00E9mentaire",InvalidMathMLAttr:"Attribut MathML non valide: %1",UnknownAttrForElement:"Attribut %1 inconnu pour l'\u00E9l\u00E9ment %2",MaxMacroSub1:"Le nombre maximal de substitution de macro autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Il y a t'il un appel de macro r\u00E9cursif?",MaxMacroSub2:"Le nombre maximal de substitutions de macros autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Y a-t-il un environnement LaTeX r\u00E9cursif ?",MissingArgFor:"Argument manquant pour la commande %1",ExtraAlignTab:"Caract\u00E8re d'alignement '\u0026' non attendue pour le texte de la commande \\cases",BracketMustBeDimension:"L'argument entre crochets de la commande %1 doit \u00EAtre une dimension",InvalidEnv:"Nom d'environnement '%1' non valide",UnknownEnv:"Environnement '%1' inconnu",ExtraCloseLooking:"Accolade fermante non attendue lors de la recherche de %1",MissingCloseBracket:"Impossible de trouver le crochet fermant pour l'argument de la commande %1",MissingOrUnrecognizedDelim:"D\u00E9limiteur manquant ou non reconnu pour la commande %1",MissingDimOrUnits:"Dimension ou unit\u00E9 manquante pour la commande %1",TokenNotFoundForCommand:"Impossible de trouver la commande %1 pour la commande %2",MathNotTerminated:"Expression math\u00E9matique non termin\u00E9e \u00E0 l'int\u00E9rieur de cette boite de texte",IllegalMacroParam:"Param\u00E8tre de r\u00E9f\u00E9rence de macro non autoris\u00E9",MaxBufferSize:"Taille maximale du tampon interne de MathJax d\u00E9pass\u00E9e. Y a-t-il un appel de macro r\u00E9cursif ?",CommandNotAllowedInEnv:"La commande %1 n'est pas autoris\u00E9 \u00E0 l'int\u00E9rieur de l'environnement %2",MultipleLabel:"\u00C9tiquette '%1' d\u00E9j\u00E0 d\u00E9finie",CommandAtTheBeginingOfLine:"La commande %1 doit \u00EAtre plac\u00E9e en d\u00E9but de ligne",IllegalAlign:"Alignement non autoris\u00E9 pour la commande %1",BadMathStyleFor:"Style math\u00E9matique non valide pour la commande %1",ErroneousNestingEq:"Emboitement incorrect des structures d'\u00E9quation",MultlineRowsOneCol:"Les lignes au sein de l\u2019environnement %1 doivent avoir exactement une colonne",NoClosingDelim:"Impossible de trouver le d\u00E9limiteur fermant pour la commande %1",NoClosingChar:"Impossible de trouver le d\u00E9limiteur '%1' fermant",MultipleBBoxProperty:"La propri\u00E9t\u00E9 %1 de la commande %2 est sp\u00E9cifi\u00E9e deux fois",InvalidBBoxProperty:"La valeur '%1' ne semble pas \u00EAtre une couleur, une dimension de marge int\u00E9rieur ou un style.",ExtraEndMissingBegin:"Commande %1 non attendue ou commande \\begingroup manquante",GlobalNotFollowedBy:"Commande %1 non suivie d\u2019une commande \\let, \\def ou \\newcommand",NewextarrowArg1:"Le premier argument de la commande %1 doit \u00EAtre le nom d'une s\u00E9quence de contr\u00F4le",NewextarrowArg2:"Le second argument de la commande %1 doit \u00EAtre deux entiers s\u00E9par\u00E9s par une virgule",NewextarrowArg3:"Le troisi\u00E8me argument de la commande %1 doit \u00EAtre la valeur d\u2019un caract\u00E8re unicode",UndefinedColorModel:"Le mod\u00E8le de couleur '%1' n'est pas d\u00E9fini",ModelArg1:"Les valeurs de couleurs pour le mod\u00E8le %1 n\u00E9cessitent 3 nombres",InvalidDecimalNumber:"Nombre d\u00E9cimal non valide",ModelArg2:"Les valeurs de couleurs pour le mod\u00E8le %1 doivent \u00EAtre comprises entre %2 et %3",InvalidNumber:"Nombre non valide",MissingCS:"%1 doit \u00EAtre suivi d'une s\u00E9quence de contr\u00F4le",SequentialParam:"Les param\u00E8tres de la s\u00E9quence de contr\u00F4le %1 doivent \u00EAtre \u00E9num\u00E9r\u00E9s de fa\u00E7on s\u00E9quentielle",MissingReplacementString:"Chaine de caract\u00E8re de remplacement manquante pour la d\u00E9finition %1",MismatchUseDef:"L\u2019utilisation de la commande %1 ne correspond pas \u00E0 sa d\u00E9finition",RunawayArgument:"Argument non termin\u00E9 pour la commande %1?"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/TeX.js");
+MathJax.Localization.addTranslation("fr","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Accolade ouvrante non attendue ou accolade fermante manquante",ExtraCloseMissingOpen:"Accolade fermante non attendue ou accolade ouvrante manquante",MissingLeftExtraRight:"Commande \\left manquante ou commande \\right superflue",MissingScript:"Argument en exposant ou en indice manquant",ExtraLeftMissingRight:"Commande \\left inattendue ou commande \\right manquante",Misplaced:"Mauvaise position pour la commande %1",MissingOpenForSub:"Accolade ouvrante manquante pour le script en indice",MissingOpenForSup:"Accolade ouvrante manquante pour le script en exposant",AmbiguousUseOf:"Usage ambigu de la commande %1",EnvBadEnd:"\\begin{%1} s'est termin\u00E9 par un \\end{%2}",EnvMissingEnd:"\\end{%1} manquant",MissingBoxFor:"Boite manquante pour la commande %1",MissingCloseBrace:"Accolade fermante manquante",UndefinedControlSequence:"Commande %1 non d\u00E9finie",DoubleExponent:"Double exposant : utilisez des accolades pour clarifier",DoubleSubscripts:"Double indice : utilisez des accolades pour clarifier",DoubleExponentPrime:"Un prime entra\u00EEne un double exposant : utilisez des accolades pour clarifier",CantUseHash1:"Vous ne pouvez pas utilisez le caract\u00E8re #, indiquant un param\u00E8tre de macro, dans le mode math\u00E9matique",MisplacedMiddle:"La commande %1 doit \u00EAtre plac\u00E9e \u00E0 l\u2019int\u00E9rieur d\u2019une section \\left ... \\right",MisplacedLimits:"La commande %1 n'est autoris\u00E9e que sur les op\u00E9rateurs",MisplacedMoveRoot:"La commande %1 n'est autoris\u00E9e qu'\u00E0 l'int\u00E9rieur d'une racine",MultipleCommand:"Usage multiple de la commande %1",IntegerArg:"L\u2019argument de la commande %1 doit \u00EAtre un entier",NotMathMLToken:"L'\u00E9l\u00E9ment %1 n'est pas un \u00E9l\u00E9ment MathML \u00E9l\u00E9mentaire",InvalidMathMLAttr:"Attribut MathML non valide: %1",UnknownAttrForElement:"Attribut %1 inconnu pour l'\u00E9l\u00E9ment %2",MaxMacroSub1:"Le nombre maximal de substitutions de macro autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Y a-t-il un appel de macro r\u00E9cursif?",MaxMacroSub2:"Le nombre maximal de substitutions de macros autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Y a-t-il un environnement LaTeX r\u00E9cursif ?",MissingArgFor:"Argument manquant pour la commande %1",ExtraAlignTab:"Caract\u00E8re d'alignement '\u0026' inattendu pour le texte de la commande \\cases",BracketMustBeDimension:"L'argument entre crochets de la commande %1 doit \u00EAtre une dimension",InvalidEnv:"Nom d'environnement '%1' non valide",UnknownEnv:"Environnement '%1' inconnu",ExtraCloseLooking:"Accolade fermante inattendue lors de la recherche de %1",MissingCloseBracket:"Impossible de trouver ']' pour l'argument de la commande %1",MissingOrUnrecognizedDelim:"D\u00E9limiteur manquant ou non reconnu pour la commande %1",MissingDimOrUnits:"Dimension ou unit\u00E9 manquante pour la commande %1",TokenNotFoundForCommand:"Impossible de trouver %1 pour la commande %2",MathNotTerminated:"Expression math\u00E9matique non termin\u00E9e \u00E0 l'int\u00E9rieur de cette boite de texte",IllegalMacroParam:"Param\u00E8tre de r\u00E9f\u00E9rence de macro non autoris\u00E9",MaxBufferSize:"Taille maximale du tampon interne de MathJax d\u00E9pass\u00E9e; y a-t-il un appel de macro r\u00E9cursif ?",CommandNotAllowedInEnv:"La commande %1 n'est pas autoris\u00E9e \u00E0 l'int\u00E9rieur de l'environnement %2",MultipleLabel:"\u00C9tiquette '%1' d\u00E9j\u00E0 d\u00E9finie",CommandAtTheBeginingOfLine:"La commande %1 doit \u00EAtre plac\u00E9e en d\u00E9but de ligne",IllegalAlign:"Alignement non autoris\u00E9 pour la commande %1",BadMathStyleFor:"Style math\u00E9matique non valide pour la commande %1",PositiveIntegerArg:"L'argument de la commande %1 doit \u00EAtre un entier strictement positif",ErroneousNestingEq:"Emboitement incorrect des structures d'\u00E9quation",MultlineRowsOneCol:"Les rang\u00E9es au sein de l\u2019environnement %1 doivent avoir exactement une colonne",MultipleBBoxProperty:"La propri\u00E9t\u00E9 %1 est sp\u00E9cifi\u00E9e deux fois dans la commande %2",InvalidBBoxProperty:"La valeur '%1' ne semble pas \u00EAtre une couleur, une dimension de marge int\u00E9rieure ou un style.",ExtraEndMissingBegin:"Commande %1 non attendue ou commande \\begingroup manquante",GlobalNotFollowedBy:"Commande %1 non suivie d\u2019une commande \\let, \\def ou \\newcommand",UndefinedColorModel:"Le mod\u00E8le de couleur '%1' n'est pas d\u00E9fini",ModelArg1:"Les valeurs de couleurs pour le mod\u00E8le %1 n\u00E9cessitent 3 nombres",InvalidDecimalNumber:"Nombre d\u00E9cimal non valide",ModelArg2:"Les valeurs de couleurs pour le mod\u00E8le %1 doivent \u00EAtre comprises entre %2 et %3",InvalidNumber:"Nombre non valide",NewextarrowArg1:"Le premier argument de la commande %1 doit \u00EAtre le nom d'une s\u00E9quence de contr\u00F4le",NewextarrowArg2:"Le second argument de la commande %1 doit \u00EAtre deux entiers s\u00E9par\u00E9s par une virgule",NewextarrowArg3:"Le troisi\u00E8me argument de la commande %1 doit \u00EAtre la valeur d\u2019un caract\u00E8re unicode",NoClosingChar:"Impossible de trouver le d\u00E9limiteur '%1' fermant",IllegalControlSequenceName:"Nom de contr\u00F4le de s\u00E9quence non autoris\u00E9 pour la commande %1",IllegalParamNumber:"Nombre de param\u00E8tres incorrect pour la commande %1",MissingCS:"%1 doit \u00EAtre suivi d'une s\u00E9quence de contr\u00F4le",CantUseHash2:"Usage du caract\u00E8re # non autoris\u00E9 dans le mod\u00E8le pour la s\u00E9quence de contr\u00F4le %1",SequentialParam:"Les param\u00E8tres de la s\u00E9quence de contr\u00F4le %1 doivent \u00EAtre \u00E9num\u00E9r\u00E9s de fa\u00E7on s\u00E9quentielle",MissingReplacementString:"Chaine de caract\u00E8re de remplacement manquante pour la d\u00E9finition %1",MismatchUseDef:"L\u2019utilisation de la commande %1 ne correspond pas \u00E0 sa d\u00E9finition",RunawayArgument:"Argument non termin\u00E9 pour la commande %1?",NoClosingDelim:"Impossible de trouver le d\u00E9limiteur fermant pour la commande %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/TeX.js");
diff --git a/localization/fr/fr.js b/localization/fr/fr.js
index 537ac1d0d..f8a46ba7b 100644
--- a/localization/fr/fr.js
+++ b/localization/fr/fr.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr",null,{menuTitle:"fran\u00E7ais",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax a trouv\u00E9 un t\u00E9moin (cookie) de configuration utilisateur qui inclut du code ex\u00E9cutable. Souhaitez vous l\u2019ex\u00E9cuter ?\n\n(Choisissez Annuler sauf si vous avez cr\u00E9\u00E9 ce t\u00E9moin vous-m\u00EAme)",MathProcessingError:"Erreur de traitement de la formule math\u00E9matique",MathError:"Erreur dans la formule math\u00E9matique",LoadFile:"T\u00E9l\u00E9chargement de %1",Loading:"T\u00E9l\u00E9chargement",LoadFailed:"\u00C9chec du t\u00E9l\u00E9chargement de %1",ProcessMath:"Traitement des formules: %1%%",Processing:"Traitement",TypesetMath:"Composition des formules: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Votre navigateur ne supporte pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(0<=a&&a<2){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/fr.js");
+MathJax.Localization.addTranslation("fr",null,{menuTitle:"fran\u00E7ais",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax a trouv\u00E9 un t\u00E9moin (cookie) de configuration utilisateur qui inclut du code ex\u00E9cutable. Souhaitez vous l\u2019ex\u00E9cuter ?\n\n(Choisissez Annuler sauf si vous avez cr\u00E9\u00E9 ce t\u00E9moin vous-m\u00EAme.)",MathProcessingError:"Erreur de traitement de la formule math\u00E9matique",MathError:"Erreur dans la formule math\u00E9matique",LoadFile:"Chargement de %1",Loading:"Chargement",LoadFailed:"\u00C9chec du chargement de %1",ProcessMath:"Traitement des formules: %1%%",Processing:"En traitement",TypesetMath:"Composition des formules: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Votre navigateur ne supporte pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(0<=a&&a<2){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/fr.js");
diff --git a/localization/gl/FontWarnings.js b/localization/gl/FontWarnings.js
index 62f83dd83..6dfa28e41 100644
--- a/localization/gl/FontWarnings.js
+++ b/localization/gl/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/FontWarnings.js");
+MathJax.Localization.addTranslation("gl","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/FontWarnings.js");
diff --git a/localization/gl/HTML-CSS.js b/localization/gl/HTML-CSS.js
index a25feede2..8c10c6a46 100644
--- a/localization/gl/HTML-CSS.js
+++ b/localization/gl/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Cargando o tipo de letra web %1",CantLoadWebFont:"Non se pode cargar o tipo de letra web %1",FirefoxCantLoadWebFont:"Firefox non pode cargar os tipos de letra web desde un servidor remoto",CantFindFontUsing:"Non se pode atopar un tipo de letra v\u00E1lido utilizando %1",WebFontsNotAvailable:"Os tipos de letra web non est\u00E1n dispo\u00F1ibles; use os tipos de letra de imaxe no seu lugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HTML-CSS.js");
+MathJax.Localization.addTranslation("gl","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Cargando o tipo de letra web %1",CantLoadWebFont:"Non se pode cargar o tipo de letra web %1",FirefoxCantLoadWebFont:"Firefox non pode cargar os tipos de letra web desde un servidor remoto",CantFindFontUsing:"Non se pode atopar un tipo de letra v\u00E1lido utilizando %1",WebFontsNotAvailable:"Os tipos de letra web non est\u00E1n dispo\u00F1ibles; use os tipos de letra de imaxe no seu lugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HTML-CSS.js");
diff --git a/localization/gl/HelpDialog.js b/localization/gl/HelpDialog.js
index 66b0a78a4..d61b73bac 100644
--- a/localization/gl/HelpDialog.js
+++ b/localization/gl/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HelpDialog.js");
+MathJax.Localization.addTranslation("gl","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HelpDialog.js");
diff --git a/localization/gl/MathML.js b/localization/gl/MathML.js
index 9874bc5a5..f70694d66 100644
--- a/localization/gl/MathML.js
+++ b/localization/gl/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathML.js");
+MathJax.Localization.addTranslation("gl","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathML.js");
diff --git a/localization/gl/MathMenu.js b/localization/gl/MathMenu.js
index 7fda03c00..49f758994 100644
--- a/localization/gl/MathMenu.js
+++ b/localization/gl/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","MathMenu",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathMenu.js");
+MathJax.Localization.addTranslation("gl","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathMenu.js");
diff --git a/localization/gl/TeX.js b/localization/gl/TeX.js
index 098823e6c..0c4d6e5f7 100644
--- a/localization/gl/TeX.js
+++ b/localization/gl/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/TeX.js");
+MathJax.Localization.addTranslation("gl","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/TeX.js");
diff --git a/localization/gl/gl.js b/localization/gl/gl.js
index 7769bf55a..19464c515 100644
--- a/localization/gl/gl.js
+++ b/localization/gl/gl.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl",null,{menuTitle:"galego",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:'MathJax atopou unha cookie de configuraci\u00F3n de usuario que incl\u00FAe c\u00F3digo executable. Quere executar ese c\u00F3digo?\n\n(Deber\u00EDa premer en "Cancelar", a menos que vostede crease a cookie.)',MathProcessingError:"Erro de procesamento da f\u00F3rmula matem\u00E1tica",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:'Cargando "%1"',Loading:"Cargando",LoadFailed:"Erro ao cargar o ficheiro: %1",ProcessMath:"Procesando as f\u00F3rmulas: %1%%",Processing:"Procesando",TypesetMath:"Compo\u00F1endo as f\u00F3rmulas: %1%%",Typesetting:"Compo\u00F1endo",MathJaxNotSupported:"O seu navegador non soporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/gl.js");
+MathJax.Localization.addTranslation("gl",null,{menuTitle:"galego",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:'MathJax atopou unha cookie de configuraci\u00F3n de usuario que incl\u00FAe c\u00F3digo executable. Quere executar ese c\u00F3digo?\n\n(Deber\u00EDa premer en "Cancelar", a menos que vostede crease a cookie.)',MathProcessingError:"Erro de procesamento da f\u00F3rmula matem\u00E1tica",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:'Cargando "%1"',Loading:"Cargando",LoadFailed:"Erro ao cargar o ficheiro: %1",ProcessMath:"Procesando as f\u00F3rmulas: %1%%",Processing:"Procesando",TypesetMath:"Compo\u00F1endo as f\u00F3rmulas: %1%%",Typesetting:"Compo\u00F1endo",MathJaxNotSupported:"O seu navegador non soporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/gl.js");
diff --git a/localization/he/FontWarnings.js b/localization/he/FontWarnings.js
index 56e8fe05c..5704fd461 100644
--- a/localization/he/FontWarnings.js
+++ b/localization/he/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DB\u05D3\u05D9 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05D3\u05DA \u05D4\u05D6\u05D4. \u05D6\u05D4 \u05D3\u05D5\u05E8\u05E9 \u05D6\u05DE\u05DF \u05DC\u05D4\u05D5\u05E8\u05D3\u05D4, \u05D5\u05D4\u05D3\u05E3 \u05D9\u05D5\u05E6\u05D2 \u05DE\u05D4\u05E8 \u05D9\u05D5\u05EA\u05E8 \u05D0\u05DD \u05D9\u05D5\u05EA\u05E7\u05E0\u05D5 \u05D2\u05D5\u05E4\u05E0\u05D9 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05DE\u05E2\u05E8\u05DB\u05EA \u05E9\u05DC\u05DA.",imageFonts:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D6\u05D4 \u05E2\u05D5\u05D1\u05D3 \u05DC\u05D0\u05D8 \u05DE\u05D4\u05E8\u05D2\u05D9\u05DC, \u05D5\u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D0 \u05D9\u05D5\u05D3\u05E4\u05E1\u05D5 \u05D1\u05D2\u05D5\u05D3\u05DC \u05D4\u05E8\u05E6\u05D5\u05D9 \u05D1\u05DE\u05D3\u05E4\u05E1\u05EA \u05E9\u05DC\u05DA.",noFonts:"MathJax \u05D0\u05D9\u05E0\u05D5 \u05DE\u05E6\u05DC\u05D9\u05D7 \u05DC\u05DE\u05E6\u05D5\u05D0 \u05D2\u05D5\u05E4\u05DF \u05DC\u05D4\u05E6\u05D2\u05EA \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA, \u05D5\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD, \u05D0\u05D6 \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05E0\u05E1\u05D9\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05EA\u05D5\u05D5\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD \u05D1\u05EA\u05E7\u05D5\u05D5\u05D4 \u05E9\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D9\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05D0\u05D5\u05EA\u05DD \u05E0\u05DB\u05D5\u05DF. \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D7\u05DC\u05E7 \u05DE\u05D4\u05EA\u05D5\u05D5\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9 \u05D0\u05D5 \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05D1\u05DB\u05DC\u05DC.",webFonts:"\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD \u05DE\u05D0\u05E4\u05E9\u05E8\u05D9\u05DD \u05D4\u05D5\u05E8\u05D3\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D4\u05E8\u05E9\u05EA. \u05E2\u05D3\u05DB\u05D5\u05DF \u05DC\u05D2\u05E8\u05E1\u05D4 \u05D7\u05D3\u05E9\u05D4 \u05D9\u05D5\u05EA\u05E8 \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D5 \u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05D0\u05D7\u05E8 \u05D9\u05DB\u05D5\u05DC\u05D9\u05DD \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D0\u05D9\u05DB\u05D5\u05EA \u05D4\u05E6\u05D2\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05D3\u05E3 \u05D4\u05D6\u05D4.",fonts:"MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1) \u05D0\u05D5 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%2). \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D0\u05D7\u05D3 \u05DE\u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",STIXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",TeXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA."}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/FontWarnings.js");
+MathJax.Localization.addTranslation("he","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DB\u05D3\u05D9 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05D3\u05DA \u05D4\u05D6\u05D4. \u05D6\u05D4 \u05D3\u05D5\u05E8\u05E9 \u05D6\u05DE\u05DF \u05DC\u05D4\u05D5\u05E8\u05D3\u05D4, \u05D5\u05D4\u05D3\u05E3 \u05D9\u05D5\u05E6\u05D2 \u05DE\u05D4\u05E8 \u05D9\u05D5\u05EA\u05E8 \u05D0\u05DD \u05D9\u05D5\u05EA\u05E7\u05E0\u05D5 \u05D2\u05D5\u05E4\u05E0\u05D9 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05DE\u05E2\u05E8\u05DB\u05EA \u05E9\u05DC\u05DA.",imageFonts:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D6\u05D4 \u05E2\u05D5\u05D1\u05D3 \u05DC\u05D0\u05D8 \u05DE\u05D4\u05E8\u05D2\u05D9\u05DC, \u05D5\u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D0 \u05D9\u05D5\u05D3\u05E4\u05E1\u05D5 \u05D1\u05D2\u05D5\u05D3\u05DC \u05D4\u05E8\u05E6\u05D5\u05D9 \u05D1\u05DE\u05D3\u05E4\u05E1\u05EA \u05E9\u05DC\u05DA.",noFonts:"MathJax \u05D0\u05D9\u05E0\u05D5 \u05DE\u05E6\u05DC\u05D9\u05D7 \u05DC\u05DE\u05E6\u05D5\u05D0 \u05D2\u05D5\u05E4\u05DF \u05DC\u05D4\u05E6\u05D2\u05EA \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA, \u05D5\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD, \u05D0\u05D6 \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05E0\u05E1\u05D9\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05EA\u05D5\u05D5\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD \u05D1\u05EA\u05E7\u05D5\u05D5\u05D4 \u05E9\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D9\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05D0\u05D5\u05EA\u05DD \u05E0\u05DB\u05D5\u05DF. \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D7\u05DC\u05E7 \u05DE\u05D4\u05EA\u05D5\u05D5\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9 \u05D0\u05D5 \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05D1\u05DB\u05DC\u05DC.",webFonts:"\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD \u05DE\u05D0\u05E4\u05E9\u05E8\u05D9\u05DD \u05D4\u05D5\u05E8\u05D3\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D4\u05E8\u05E9\u05EA. \u05E2\u05D3\u05DB\u05D5\u05DF \u05DC\u05D2\u05E8\u05E1\u05D4 \u05D7\u05D3\u05E9\u05D4 \u05D9\u05D5\u05EA\u05E8 \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D5 \u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05D0\u05D7\u05E8 \u05D9\u05DB\u05D5\u05DC\u05D9\u05DD \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D0\u05D9\u05DB\u05D5\u05EA \u05D4\u05E6\u05D2\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05D3\u05E3 \u05D4\u05D6\u05D4.",fonts:"MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1) \u05D0\u05D5 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%2). \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D0\u05D7\u05D3 \u05DE\u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",STIXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",TeXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA."}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/FontWarnings.js");
diff --git a/localization/he/HTML-CSS.js b/localization/he/HTML-CSS.js
index ffd69e683..fd40d9da8 100644
--- a/localization/he/HTML-CSS.js
+++ b/localization/he/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",CantLoadWebFont:"\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D8\u05E2\u05D5\u05DF \u05D0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",FirefoxCantLoadWebFont:"\u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D8\u05E2\u05D5\u05DF \u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DE\u05E9\u05E8\u05EA \u05DE\u05E8\u05D5\u05D7\u05E7",CantFindFontUsing:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05D2\u05D5\u05E4\u05DF \u05EA\u05E7\u05D9\u05DF \u05D1\u05D0\u05DE\u05E6\u05E2\u05D5\u05EA %1",WebFontsNotAvailable:"\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD \u2013 \u05D1\u05DE\u05E7\u05D5\u05DE\u05DD \u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HTML-CSS.js");
+MathJax.Localization.addTranslation("he","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",CantLoadWebFont:"\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D8\u05E2\u05D5\u05DF \u05D0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",FirefoxCantLoadWebFont:"\u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D8\u05E2\u05D5\u05DF \u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DE\u05E9\u05E8\u05EA \u05DE\u05E8\u05D5\u05D7\u05E7",CantFindFontUsing:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05D2\u05D5\u05E4\u05DF \u05EA\u05E7\u05D9\u05DF \u05D1\u05D0\u05DE\u05E6\u05E2\u05D5\u05EA %1",WebFontsNotAvailable:"\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD \u2013 \u05D1\u05DE\u05E7\u05D5\u05DE\u05DD \u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HTML-CSS.js");
diff --git a/localization/he/HelpDialog.js b/localization/he/HelpDialog.js
index ad223e2e6..b649fdfcc 100644
--- a/localization/he/HelpDialog.js
+++ b/localization/he/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",MathJax:"*MathJax* \u05D4\u05D9\u05D0 \u05E1\u05E4\u05E8\u05D9\u05D9\u05EA \u05D2'\u05D0\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D0\u05E4\u05E9\u05E8\u05EA \u05DC\u05DB\u05D5\u05EA\u05D1\u05D9 \u05D0\u05EA\u05E8\u05D9\u05DD \u05DC\u05DB\u05DC\u05D5\u05DC \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05D1\u05D3\u05E4\u05D9\u05DD. \u05D4\u05E7\u05D5\u05E8\u05D0\u05D9\u05DD \u05D0\u05D9\u05E0\u05DD \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05E2\u05E9\u05D5\u05EA \u05D3\u05D1\u05E8 \u05DB\u05D3\u05D9 \u05E9\u05D6\u05D4 \u05D9\u05E7\u05E8\u05D4.",Browsers:"*\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05E2\u05DD \u05DB\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD, \u05DB\u05D5\u05DC\u05DC \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DE\u05D2\u05E8\u05E1\u05D4 6 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05DE\u05D2\u05E8\u05E1\u05D4 3 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05DB\u05E8\u05D5\u05DD \u05DE\u05D2\u05E8\u05E1\u05D4 0.2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E1\u05E4\u05D0\u05E8\u05D9 \u05DE\u05D2\u05E8\u05E1\u05D4 2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05D0\u05D5\u05E4\u05E8\u05D4 \u05DE\u05D2\u05E8\u05E1\u05D4 9.6 \u05D5\u05DE\u05E2\u05DC\u05D4 \u05D5\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05DC\u05DE\u05DB\u05E9\u05D9\u05E8\u05D9\u05DD \u05E0\u05D9\u05D9\u05D3\u05D9\u05DD.",Menu:"*\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: MathJax \u05DE\u05D5\u05E1\u05D9\u05E3 \u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05E7\u05E9\u05E8 \u05DC\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA. \u05D9\u05E9 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05D9\u05DE\u05E0\u05D9\u05EA \u05D0\u05D5 \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Ctrl \u05D1\u05DB\u05DC \u05E0\u05D5\u05E1\u05D7\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05D4\u05D9\u05DB\u05E0\u05E1 \u05DC\u05EA\u05E4\u05E8\u05D9\u05D8.",ShowMath:"*\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8* \u05DE\u05D0\u05E4\u05E9\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05EA \u05E7\u05D5\u05D3 \u05D4\u05DE\u05E7\u05D5\u05E8 \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DC\u05D4\u05E2\u05EA\u05E7\u05D4 \u05D5\u05D4\u05D3\u05D1\u05E7\u05D4 (\u05D1\u05EA\u05D5\u05E8 MathML \u05D0\u05D5 \u05D1\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA).",Settings:"*\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA* \u05E0\u05D5\u05EA\u05E0\u05D5\u05EA \u05DC\u05DA \u05E9\u05DC\u05D9\u05D8\u05D4 \u05E2\u05DC \u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05DC MathJax, \u05DB\u05D2\u05D5\u05DF \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D5\u05D4\u05E9\u05D9\u05D8\u05D4 \u05DC\u05D4\u05E6\u05D2\u05EA \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA.",Language:"*\u05E9\u05E4\u05D4* \u2013 \u05DB\u05D0\u05DF \u05D0\u05E4\u05E9\u05E8 \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D0\u05EA \u05D4\u05E9\u05E4\u05D4 \u05E9\u05BEMathJax \u05DE\u05E6\u05D9\u05D2\u05D4 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8\u05D9\u05DD \u05D5\u05D1\u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05D4\u05D0\u05D6\u05D4\u05E8\u05D4",Zoom:"*\u05E7\u05D9\u05E8\u05D5\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: \u05D0\u05DD \u05E7\u05E9\u05D4 \u05DC\u05DA \u05DC\u05E7\u05E8\u05D5\u05D0 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4, MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D2\u05D3\u05D9\u05DC \u05D0\u05D5\u05EA\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D6\u05D5\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05D5\u05EA\u05D4 \u05D8\u05D5\u05D1 \u05D9\u05D5\u05EA\u05E8.",Accessibilty:"*\u05E0\u05D2\u05D9\u05E9\u05D5\u05EA*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9\u05EA \u05E2\u05DD \u05E7\u05D5\u05E8\u05D0\u05D9 \u05DE\u05E1\u05DA \u05DB\u05D3\u05D9 \u05DC\u05D5\u05D5\u05D3\u05D0 \u05E9\u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05E0\u05D2\u05D9\u05E9\u05D5\u05EA \u05DC\u05DB\u05D1\u05D3\u05D9 \u05E8\u05D0\u05D9\u05D9\u05D4.",Fonts:"*\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD*: MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05EA\u05DE\u05D8\u05D9\u05D9\u05DD \u05DE\u05E1\u05D5\u05D9\u05DE\u05D9\u05DD \u05D0\u05DD \u05D4\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05D1\u05DE\u05D7\u05E9\u05D1 \u05E9\u05DC\u05DA; \u05D0\u05D7\u05E8\u05EA, \u05D4\u05D5\u05D0 \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D0\u05E3 \u05E9\u05D6\u05D4 \u05D0\u05D9\u05E0\u05D5 \u05E0\u05D7\u05D5\u05E5, \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05DE\u05E7\u05D5\u05DE\u05D9\u05EA \u05D9\u05DB\u05D5\u05DC \u05DC\u05D6\u05E8\u05D6 \u05D0\u05EA \u05D4\u05E1\u05D3\u05B7\u05E8. \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA [\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HelpDialog.js");
+MathJax.Localization.addTranslation("he","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",MathJax:"*MathJax* \u05D4\u05D9\u05D0 \u05E1\u05E4\u05E8\u05D9\u05D9\u05EA \u05D2'\u05D0\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D0\u05E4\u05E9\u05E8\u05EA \u05DC\u05DB\u05D5\u05EA\u05D1\u05D9 \u05D0\u05EA\u05E8\u05D9\u05DD \u05DC\u05DB\u05DC\u05D5\u05DC \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05D1\u05D3\u05E4\u05D9\u05DD. \u05D4\u05E7\u05D5\u05E8\u05D0\u05D9\u05DD \u05D0\u05D9\u05E0\u05DD \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05E2\u05E9\u05D5\u05EA \u05D3\u05D1\u05E8 \u05DB\u05D3\u05D9 \u05E9\u05D6\u05D4 \u05D9\u05E7\u05E8\u05D4.",Browsers:"*\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05E2\u05DD \u05DB\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD, \u05DB\u05D5\u05DC\u05DC \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DE\u05D2\u05E8\u05E1\u05D4 6 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05DE\u05D2\u05E8\u05E1\u05D4 3 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05DB\u05E8\u05D5\u05DD \u05DE\u05D2\u05E8\u05E1\u05D4 0.2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E1\u05E4\u05D0\u05E8\u05D9 \u05DE\u05D2\u05E8\u05E1\u05D4 2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05D0\u05D5\u05E4\u05E8\u05D4 \u05DE\u05D2\u05E8\u05E1\u05D4 9.6 \u05D5\u05DE\u05E2\u05DC\u05D4 \u05D5\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05DC\u05DE\u05DB\u05E9\u05D9\u05E8\u05D9\u05DD \u05E0\u05D9\u05D9\u05D3\u05D9\u05DD.",Menu:"*\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: MathJax \u05DE\u05D5\u05E1\u05D9\u05E3 \u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05E7\u05E9\u05E8 \u05DC\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA. \u05D9\u05E9 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05D9\u05DE\u05E0\u05D9\u05EA \u05D0\u05D5 \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Ctrl \u05D1\u05DB\u05DC \u05E0\u05D5\u05E1\u05D7\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05D4\u05D9\u05DB\u05E0\u05E1 \u05DC\u05EA\u05E4\u05E8\u05D9\u05D8.",ShowMath:"*\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8* \u05DE\u05D0\u05E4\u05E9\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05EA \u05E7\u05D5\u05D3 \u05D4\u05DE\u05E7\u05D5\u05E8 \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DC\u05D4\u05E2\u05EA\u05E7\u05D4 \u05D5\u05D4\u05D3\u05D1\u05E7\u05D4 (\u05D1\u05EA\u05D5\u05E8 MathML \u05D0\u05D5 \u05D1\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA).",Settings:"*\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA* \u05E0\u05D5\u05EA\u05E0\u05D5\u05EA \u05DC\u05DA \u05E9\u05DC\u05D9\u05D8\u05D4 \u05E2\u05DC \u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05DC MathJax, \u05DB\u05D2\u05D5\u05DF \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D5\u05D4\u05E9\u05D9\u05D8\u05D4 \u05DC\u05D4\u05E6\u05D2\u05EA \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA.",Language:"*\u05E9\u05E4\u05D4* \u2013 \u05DB\u05D0\u05DF \u05D0\u05E4\u05E9\u05E8 \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D0\u05EA \u05D4\u05E9\u05E4\u05D4 \u05E9\u05BEMathJax \u05DE\u05E6\u05D9\u05D2\u05D4 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8\u05D9\u05DD \u05D5\u05D1\u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05D4\u05D0\u05D6\u05D4\u05E8\u05D4",Zoom:"*\u05E7\u05D9\u05E8\u05D5\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: \u05D0\u05DD \u05E7\u05E9\u05D4 \u05DC\u05DA \u05DC\u05E7\u05E8\u05D5\u05D0 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4, MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D2\u05D3\u05D9\u05DC \u05D0\u05D5\u05EA\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D6\u05D5\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05D5\u05EA\u05D4 \u05D8\u05D5\u05D1 \u05D9\u05D5\u05EA\u05E8.",Accessibilty:"*\u05E0\u05D2\u05D9\u05E9\u05D5\u05EA*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9\u05EA \u05E2\u05DD \u05E7\u05D5\u05E8\u05D0\u05D9 \u05DE\u05E1\u05DA \u05DB\u05D3\u05D9 \u05DC\u05D5\u05D5\u05D3\u05D0 \u05E9\u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05E0\u05D2\u05D9\u05E9\u05D5\u05EA \u05DC\u05DB\u05D1\u05D3\u05D9 \u05E8\u05D0\u05D9\u05D9\u05D4.",Fonts:"*\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD*: MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05EA\u05DE\u05D8\u05D9\u05D9\u05DD \u05DE\u05E1\u05D5\u05D9\u05DE\u05D9\u05DD \u05D0\u05DD \u05D4\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05D1\u05DE\u05D7\u05E9\u05D1 \u05E9\u05DC\u05DA; \u05D0\u05D7\u05E8\u05EA, \u05D4\u05D5\u05D0 \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D0\u05E3 \u05E9\u05D6\u05D4 \u05D0\u05D9\u05E0\u05D5 \u05E0\u05D7\u05D5\u05E5, \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05DE\u05E7\u05D5\u05DE\u05D9\u05EA \u05D9\u05DB\u05D5\u05DC \u05DC\u05D6\u05E8\u05D6 \u05D0\u05EA \u05D4\u05E1\u05D3\u05B7\u05E8. \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA [\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HelpDialog.js");
diff --git a/localization/he/MathML.js b/localization/he/MathML.js
index 83bb9ea71..10bb6b22a 100644
--- a/localization/he/MathML.js
+++ b/localization/he/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"\u05E8\u05DB\u05D9\u05D1 mglyph \u05D2\u05E8\u05D5\u05E2: %1",BadMglyphFont:"\u05D2\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2: %1",MathPlayer:'MathJax \u05DC\u05D0 \u05D4\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05D2\u05D3\u05D9\u05E8 \u05D0\u05EA MathPlayer.\n\n\u05D0\u05DD MathPlayer th\u05E0\u05D5 \u05DE\u05D5\u05EA\u05E7\u05DF, \u05D9\u05E9 \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05D5\u05EA\u05D5 \u05EA\u05D7\u05D9\u05DC\u05D4.\n\u05D0\u05D7\u05E8\u05EA, \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \u05E9\u05DC\u05DA \u05DC\u05D0 \u05D9\u05D0\u05E4\u05E9\u05E8\u05D5 \u05DC\u05E8\u05DB\u05D9\u05D1\u05D9 ActiveX\n\u05DC\u05E8\u05D5\u05E5. \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D7\u05DC\u05D5\u05DF \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05EA\u05D7\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D1\u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4", \u05D5\u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA". \u05E9\u05DD \u05D9\u05E9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05E9\u05D4\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA\n"\u05D4\u05E8\u05E6\u05E5 \u05D1\u05E7\u05E8\u05D9 ActiveX" \u05D5"\u05D4\u05EA\u05E0\u05D4\u05D2\u05D5\u05D9\u05D5\u05EA \u05D1\u05D9\u05E0\u05D0\u05E8\u05D9\u05D5\u05EA \u05D5\u05E1\u05E7\u05E8\u05D9\u05E4\u05D8\u05D9\u05DD" \u05DE\u05D5\u05E4\u05E2\u05DC\u05D5\u05EA.\n\n\u05D1\u05DE\u05E6\u05D1 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9 \u05D9\u05D5\u05E4\u05D9\u05E2\u05D5 \u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \n\u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05DE\u05E2\u05D5\u05E6\u05D1\u05EA.',CantCreateXMLParser:'MathJax \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D9\u05E6\u05D5\u05E8 \u05DE\u05E4\u05E2\u05E0\u05D7 XML \u05E2\u05D1\u05D5\u05E8 MathML. \u05E0\u05D0 \u05DC\u05D1\u05D3\u05D5\u05E7\n\u05E9\u05D4\u05D2\u05D3\u05E8\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \'\u05D1\u05E7\u05E8\u05D9 ActiveX \u05E9\u05DE\u05E1\u05D5\u05DE\u05E0\u05D9\u05DD \u05D1\u05EA\u05D5\u05E8 \u05D1\u05D8\u05D5\u05D7\u05D9\u05DD\' \u05DE\u05D5\u05E4\u05E2\u05DC\u05EA\n(\u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05E4\u05EA\u05D5\u05D7 \u05D0\u05EA \u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4",\n\u05D5\u05D0\u05D6 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA" \u05DB\u05D3\u05D9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05D0\u05EA \u05D6\u05D4).\n\n\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA MathML \u05DC\u05D0 \u05D9\u05E2\u05D5\u05D1\u05D3\u05D5 \u05E2\u05DC\u05BE\u05D9\u05D3\u05D9 MathJax.',UnknownNodeType:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D5\u05D3\u05E2: %1",UnexpectedTextNode:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05E6\u05E4\u05D5\u05D9: %1",ErrorParsingMathML:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML",ParsingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML\u200F: %1",MathMLSingleElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DB\u05EA\u05D5\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u05D0\u05D7\u05D3",MathMLRootElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u003Cmath\u003E, \u05DC\u05D0 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathML.js");
+MathJax.Localization.addTranslation("he","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u05E8\u05DB\u05D9\u05D1 mglyph \u05D2\u05E8\u05D5\u05E2: %1",BadMglyphFont:"\u05D2\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2: %1",MathPlayer:'MathJax \u05DC\u05D0 \u05D4\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05D2\u05D3\u05D9\u05E8 \u05D0\u05EA MathPlayer.\n\n\u05D0\u05DD MathPlayer th\u05E0\u05D5 \u05DE\u05D5\u05EA\u05E7\u05DF, \u05D9\u05E9 \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05D5\u05EA\u05D5 \u05EA\u05D7\u05D9\u05DC\u05D4.\n\u05D0\u05D7\u05E8\u05EA, \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \u05E9\u05DC\u05DA \u05DC\u05D0 \u05D9\u05D0\u05E4\u05E9\u05E8\u05D5 \u05DC\u05E8\u05DB\u05D9\u05D1\u05D9 ActiveX\n\u05DC\u05E8\u05D5\u05E5. \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D7\u05DC\u05D5\u05DF \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05EA\u05D7\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D1\u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4", \u05D5\u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA". \u05E9\u05DD \u05D9\u05E9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05E9\u05D4\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA\n"\u05D4\u05E8\u05E6\u05E5 \u05D1\u05E7\u05E8\u05D9 ActiveX" \u05D5"\u05D4\u05EA\u05E0\u05D4\u05D2\u05D5\u05D9\u05D5\u05EA \u05D1\u05D9\u05E0\u05D0\u05E8\u05D9\u05D5\u05EA \u05D5\u05E1\u05E7\u05E8\u05D9\u05E4\u05D8\u05D9\u05DD" \u05DE\u05D5\u05E4\u05E2\u05DC\u05D5\u05EA.\n\n\u05D1\u05DE\u05E6\u05D1 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9 \u05D9\u05D5\u05E4\u05D9\u05E2\u05D5 \u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \n\u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05DE\u05E2\u05D5\u05E6\u05D1\u05EA.',CantCreateXMLParser:'MathJax \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D9\u05E6\u05D5\u05E8 \u05DE\u05E4\u05E2\u05E0\u05D7 XML \u05E2\u05D1\u05D5\u05E8 MathML. \u05E0\u05D0 \u05DC\u05D1\u05D3\u05D5\u05E7\n\u05E9\u05D4\u05D2\u05D3\u05E8\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \'\u05D1\u05E7\u05E8\u05D9 ActiveX \u05E9\u05DE\u05E1\u05D5\u05DE\u05E0\u05D9\u05DD \u05D1\u05EA\u05D5\u05E8 \u05D1\u05D8\u05D5\u05D7\u05D9\u05DD\' \u05DE\u05D5\u05E4\u05E2\u05DC\u05EA\n(\u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05E4\u05EA\u05D5\u05D7 \u05D0\u05EA \u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4",\n\u05D5\u05D0\u05D6 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA" \u05DB\u05D3\u05D9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05D0\u05EA \u05D6\u05D4).\n\n\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA MathML \u05DC\u05D0 \u05D9\u05E2\u05D5\u05D1\u05D3\u05D5 \u05E2\u05DC\u05BE\u05D9\u05D3\u05D9 MathJax.',UnknownNodeType:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D5\u05D3\u05E2: %1",UnexpectedTextNode:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05E6\u05E4\u05D5\u05D9: %1",ErrorParsingMathML:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML",ParsingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML\u200F: %1",MathMLSingleElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DB\u05EA\u05D5\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u05D0\u05D7\u05D3",MathMLRootElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u003Cmath\u003E, \u05DC\u05D0 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathML.js");
diff --git a/localization/he/MathMenu.js b/localization/he/MathMenu.js
index 326e57a67..3fe7649d6 100644
--- a/localization/he/MathMenu.js
+++ b/localization/he/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8",MathMLcode:"\u05E7\u05D5\u05D3 MathML",OriginalMathML:"MathML \u05DE\u05E7\u05D5\u05E8\u05D9",TeXCommands:"\u05E4\u05E7\u05D5\u05D3\u05D5\u05EA TeX",AsciiMathInput:"\u05E7\u05DC\u05D8 AsciiMathML",Original:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA",ErrorMessage:"\u05D4\u05D5\u05D3\u05E2\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4",Annotation:"\u05E4\u05D9\u05E8\u05D5\u05E9",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E8\u05DE\u05D6\u05D9\u05DD \u05E9\u05DC TeX \u05D1\u05BEMathML",Settings:"\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4",ZoomTrigger:"\u05DE\u05D4 \u05D2\u05D5\u05E8\u05DD \u05DC\u05E7\u05D9\u05E8\u05D5\u05D1",Hover:"\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Click:"\u05DC\u05D7\u05D9\u05E6\u05D4",DoubleClick:"\u05DC\u05D7\u05D9\u05E6\u05D4 \u05DB\u05E4\u05D5\u05DC\u05D4",NoZoom:"\u05DC\u05DC\u05D0 \u05E7\u05D9\u05E8\u05D5\u05D1",TriggerRequires:"\u05D4\u05E4\u05E2\u05DC\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1 \u05D3\u05D5\u05E8\u05E9\u05EA:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u05E8\u05DE\u05EA \u05E7\u05D9\u05E8\u05D5\u05D1",Renderer:"\u05DE\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA",MPHandles:"\u05DC\u05D0\u05E4\u05E9\u05E8 \u05DC\u05BEMathPlayer \u05DC\u05D8\u05E4\u05DC \u05D1\u05BE:",MenuEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",MouseEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8",MenuAndMouse:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8 \u05D5\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",FontPrefs:"\u05D4\u05E2\u05D3\u05E4\u05D5\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD",ForHTMLCSS:"\u05E2\u05D1\u05D5\u05E8 HTML-CSS:",Auto:"\u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9",TeXLocal:"TeX (\u05DE\u05E7\u05D5\u05DE\u05D9)",TeXWeb:"TeX (\u05D1\u05E8\u05E9\u05EA)",TeXImage:"TeX (\u05EA\u05DE\u05D5\u05E0\u05D4)",STIXLocal:"STIX (\u05DE\u05E7\u05D5\u05DE\u05D9)",ContextMenu:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05B6\u05E7\u05E9\u05E8",Browser:"\u05D3\u05E4\u05D3\u05E4\u05DF",Scale:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA...",Discoverable:"\u05DC\u05D4\u05D0\u05D9\u05E8 \u05D1\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Locale:"\u05E9\u05E4\u05D4",LoadLocale:"\u05DC\u05D8\u05E2\u05D5\u05DF \u05DE\u05DB\u05EA\u05D5\u05D1\u05EA...",About:"\u05D0\u05D5\u05D3\u05D5\u05EA MathJax",Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",localTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05D4\u05E8\u05E9\u05EA",imagefonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4",localSTIXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 STIX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webSVGfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 SVG \u05DE\u05D4\u05E8\u05E9\u05EA",genericfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD",wofforotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 woff \u05D0\u05D5 otf",eotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 eot",svgfonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 svg",WebkitNativeMMLWarning:"\u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05DF \u05EA\u05DE\u05D9\u05DB\u05D4 \u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05D1\u05BEMathML, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 MathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D4\u05E4\u05D5\u05DA \u05D0\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D1\u05DC\u05EA\u05D9\u05BE\u05E7\u05E8\u05D9\u05D0\u05D5\u05EA",MSIENativeMMLWarning:"\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05D3\u05D5\u05E8\u05E9 \u05EA\u05D5\u05E1\u05E3 MathPlayer \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D1\u05D3 \u05E4\u05DC\u05D8 MathML.",OperaNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05E9\u05DC \u05D0\u05D5\u05E4\u05E8\u05D4 \u05D1\u05BEMathML \u05DE\u05D5\u05D2\u05D1\u05DC\u05EA, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05BEMathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D2\u05E8\u05D5\u05DD \u05DC\u05D7\u05DC\u05E7 \u05DE\u05D4\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D9\u05DD \u05D1\u05D0\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2.",SafariNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",FirefoxNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",MSIESVGWarning:"\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D1\u05BESVG \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05D5\u05DE\u05E9\u05EA \u05D1\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DC\u05E4\u05E0\u05D9 \u05D2\u05E8\u05E1\u05D4 9 \u05D0\u05D5 \u05DB\u05D0\u05E9\u05E8 \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E4\u05D5\u05E2\u05DC \u05D1\u05DE\u05E6\u05D1 \u05EA\u05D0\u05D9\u05DE\u05D5\u05EA \u05DC\u05D2\u05E8\u05E1\u05D4 8 \u05D5\u05DE\u05D8\u05D4. \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 \u05D1\u05BESVG \u05D9\u05D2\u05E8\u05D5\u05DD \u05DC\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05DC\u05D0 \u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D5\u05EA \u05DB\u05E8\u05D0\u05D5\u05D9.",LoadURL:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05D4\u05D1\u05D0\u05D4:",BadURL:"\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05DB\u05E4\u05E0\u05D5\u05EA \u05DC\u05E7\u05D5\u05D1\u05E5 \u05D2'\u05D0\u05D5\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D2\u05D3\u05D9\u05E8 \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05E9\u05DC MathJax. \u05E7\u05D5\u05D1\u05E5 \u05D4\u05D2'\u05D0\u05D5\u05D5\u05E1 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BEjs.",BadData:"\u05E0\u05DB\u05E9\u05DC\u05D4 \u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05BE%1",SwitchAnyway:"\u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05DE\u05E6\u05D9\u05D2 \u05D1\u05DB\u05DC \u05D6\u05D0\u05EA?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05D0\u05D9\u05E9\u05D5\u05E8 \u05DC\u05DE\u05E2\u05D1\u05E8 \u05D0\u05D5 \u05D1\u05D9\u05D8\u05D5\u05DC \u05DC\u05D4\u05DE\u05E9\u05DA \u05E2\u05DD \u05D4\u05E6\u05D9\u05D2 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9)",ScaleMath:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA (\u05D9\u05D7\u05E1\u05D9\u05EA \u05DC\u05D8\u05E7\u05E1\u05D8 \u05D4\u05E1\u05DE\u05D5\u05DA) \u05D1\u05BE:",NonZeroScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05DC\u05D0 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D9\u05D5 \u05D0\u05E4\u05E1",PercentScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D0\u05D7\u05D5\u05D6\u05D9\u05DD (\u05DC\u05DE\u05E9\u05DC 120%%)",IE8warning:"\u05D6\u05D4 \u05D9\u05DB\u05D1\u05D4 \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax \u05D5\u05D0\u05EA \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D9 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D8\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 M\uFFFDathJax \u05D1\u05DE\u05E7\u05D5\u05DD \u05D6\u05D4.\n\n\u05D4\u05D0\u05DD \u05D1\u05D0\u05DE\u05EA \u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05E9\u05DC MathJax?",IE9warning:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05D4\u05E7\u05E9\u05E8 \u05E9\u05DC MathJax \u05D9\u05DB\u05D5\u05D1\u05D4, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D7 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax.",NoOriginalForm:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA \u05D0\u05D9\u05E0\u05D4 \u05D6\u05DE\u05D9\u05E0\u05D4",Close:"\u05E1\u05D2\u05D9\u05E8\u05D4",EqSource:"\u05DE\u05E7\u05D5\u05E8 \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D4 \u05E9\u05DC MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathMenu.js");
+MathJax.Localization.addTranslation("he","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8",MathMLcode:"\u05E7\u05D5\u05D3 MathML",OriginalMathML:"MathML \u05DE\u05E7\u05D5\u05E8\u05D9",TeXCommands:"\u05E4\u05E7\u05D5\u05D3\u05D5\u05EA TeX",AsciiMathInput:"\u05E7\u05DC\u05D8 AsciiMathML",Original:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA",ErrorMessage:"\u05D4\u05D5\u05D3\u05E2\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4",Annotation:"\u05E4\u05D9\u05E8\u05D5\u05E9",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E8\u05DE\u05D6\u05D9\u05DD \u05E9\u05DC TeX \u05D1\u05BEMathML",Settings:"\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4",ZoomTrigger:"\u05DE\u05D4 \u05D2\u05D5\u05E8\u05DD \u05DC\u05E7\u05D9\u05E8\u05D5\u05D1",Hover:"\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Click:"\u05DC\u05D7\u05D9\u05E6\u05D4",DoubleClick:"\u05DC\u05D7\u05D9\u05E6\u05D4 \u05DB\u05E4\u05D5\u05DC\u05D4",NoZoom:"\u05DC\u05DC\u05D0 \u05E7\u05D9\u05E8\u05D5\u05D1",TriggerRequires:"\u05D4\u05E4\u05E2\u05DC\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1 \u05D3\u05D5\u05E8\u05E9\u05EA:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u05E8\u05DE\u05EA \u05E7\u05D9\u05E8\u05D5\u05D1",Renderer:"\u05DE\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA",MPHandles:"\u05DC\u05D0\u05E4\u05E9\u05E8 \u05DC\u05BEMathPlayer \u05DC\u05D8\u05E4\u05DC \u05D1\u05BE:",MenuEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",MouseEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8",MenuAndMouse:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8 \u05D5\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",FontPrefs:"\u05D4\u05E2\u05D3\u05E4\u05D5\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD",ForHTMLCSS:"\u05E2\u05D1\u05D5\u05E8 HTML-CSS:",Auto:"\u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9",TeXLocal:"TeX (\u05DE\u05E7\u05D5\u05DE\u05D9)",TeXWeb:"TeX (\u05D1\u05E8\u05E9\u05EA)",TeXImage:"TeX (\u05EA\u05DE\u05D5\u05E0\u05D4)",STIXLocal:"STIX (\u05DE\u05E7\u05D5\u05DE\u05D9)",STIXWeb:"STIX (\u05D1\u05E8\u05E9\u05EA)",AsanaMathWeb:"Asana Math (\u05D1\u05E8\u05E9\u05EA)",GyrePagellaWeb:"Gyre Pagella (\u05D1\u05E8\u05E9\u05EA)",GyreTermesWeb:"Gyre Termes (\u05D1\u05E8\u05E9\u05EA)",LatinModernWeb:"Latin Modern (\u05D1\u05E8\u05E9\u05EA)",NeoEulerWeb:"Neo Euler (\u05D1\u05E8\u05E9\u05EA)",ContextMenu:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05B6\u05E7\u05E9\u05E8",Browser:"\u05D3\u05E4\u05D3\u05E4\u05DF",Scale:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA...",Discoverable:"\u05DC\u05D4\u05D0\u05D9\u05E8 \u05D1\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Locale:"\u05E9\u05E4\u05D4",LoadLocale:"\u05DC\u05D8\u05E2\u05D5\u05DF \u05DE\u05DB\u05EA\u05D5\u05D1\u05EA...",About:"\u05D0\u05D5\u05D3\u05D5\u05EA MathJax",Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",localTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05D4\u05E8\u05E9\u05EA",imagefonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4",localSTIXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 STIX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webSVGfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 SVG \u05DE\u05D4\u05E8\u05E9\u05EA",genericfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD",wofforotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 woff \u05D0\u05D5 otf",eotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 eot",svgfonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 svg",WebkitNativeMMLWarning:"\u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05DF \u05EA\u05DE\u05D9\u05DB\u05D4 \u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05D1\u05BEMathML, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 MathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D4\u05E4\u05D5\u05DA \u05D0\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D1\u05DC\u05EA\u05D9\u05BE\u05E7\u05E8\u05D9\u05D0\u05D5\u05EA",MSIENativeMMLWarning:"\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05D3\u05D5\u05E8\u05E9 \u05EA\u05D5\u05E1\u05E3 MathPlayer \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D1\u05D3 \u05E4\u05DC\u05D8 MathML.",OperaNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05E9\u05DC \u05D0\u05D5\u05E4\u05E8\u05D4 \u05D1\u05BEMathML \u05DE\u05D5\u05D2\u05D1\u05DC\u05EA, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05BEMathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D2\u05E8\u05D5\u05DD \u05DC\u05D7\u05DC\u05E7 \u05DE\u05D4\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D9\u05DD \u05D1\u05D0\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2.",SafariNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",FirefoxNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",MSIESVGWarning:"\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D1\u05BESVG \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05D5\u05DE\u05E9\u05EA \u05D1\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DC\u05E4\u05E0\u05D9 \u05D2\u05E8\u05E1\u05D4 9 \u05D0\u05D5 \u05DB\u05D0\u05E9\u05E8 \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E4\u05D5\u05E2\u05DC \u05D1\u05DE\u05E6\u05D1 \u05EA\u05D0\u05D9\u05DE\u05D5\u05EA \u05DC\u05D2\u05E8\u05E1\u05D4 8 \u05D5\u05DE\u05D8\u05D4. \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 \u05D1\u05BESVG \u05D9\u05D2\u05E8\u05D5\u05DD \u05DC\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05DC\u05D0 \u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D5\u05EA \u05DB\u05E8\u05D0\u05D5\u05D9.",LoadURL:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05D4\u05D1\u05D0\u05D4:",BadURL:"\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05DB\u05E4\u05E0\u05D5\u05EA \u05DC\u05E7\u05D5\u05D1\u05E5 \u05D2'\u05D0\u05D5\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D2\u05D3\u05D9\u05E8 \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05E9\u05DC MathJax. \u05E7\u05D5\u05D1\u05E5 \u05D4\u05D2'\u05D0\u05D5\u05D5\u05E1 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BEjs.",BadData:"\u05E0\u05DB\u05E9\u05DC\u05D4 \u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05BE%1",SwitchAnyway:"\u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05DE\u05E6\u05D9\u05D2 \u05D1\u05DB\u05DC \u05D6\u05D0\u05EA?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05D0\u05D9\u05E9\u05D5\u05E8 \u05DC\u05DE\u05E2\u05D1\u05E8 \u05D0\u05D5 \u05D1\u05D9\u05D8\u05D5\u05DC \u05DC\u05D4\u05DE\u05E9\u05DA \u05E2\u05DD \u05D4\u05E6\u05D9\u05D2 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9)",ScaleMath:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA (\u05D9\u05D7\u05E1\u05D9\u05EA \u05DC\u05D8\u05E7\u05E1\u05D8 \u05D4\u05E1\u05DE\u05D5\u05DA) \u05D1\u05BE:",NonZeroScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05DC\u05D0 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D9\u05D5 \u05D0\u05E4\u05E1",PercentScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D0\u05D7\u05D5\u05D6\u05D9\u05DD (\u05DC\u05DE\u05E9\u05DC 120%%)",IE8warning:"\u05D6\u05D4 \u05D9\u05DB\u05D1\u05D4 \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax \u05D5\u05D0\u05EA \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D9 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D8\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 M\uFFFDathJax \u05D1\u05DE\u05E7\u05D5\u05DD \u05D6\u05D4.\n\n\u05D4\u05D0\u05DD \u05D1\u05D0\u05DE\u05EA \u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05E9\u05DC MathJax?",IE9warning:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05D4\u05E7\u05E9\u05E8 \u05E9\u05DC MathJax \u05D9\u05DB\u05D5\u05D1\u05D4, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D7 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax.",NoOriginalForm:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA \u05D0\u05D9\u05E0\u05D4 \u05D6\u05DE\u05D9\u05E0\u05D4",Close:"\u05E1\u05D2\u05D9\u05E8\u05D4",EqSource:"\u05DE\u05E7\u05D5\u05E8 \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D4 \u05E9\u05DC MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathMenu.js");
diff --git a/localization/he/TeX.js b/localization/he/TeX.js
index 69f13de7a..a07b27714 100644
--- a/localization/he/TeX.js
+++ b/localization/he/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",ExtraCloseMissingOpen:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8",MissingLeftExtraRight:"\u05D7\u05D5\u05E7 \u200E\\left \u05D7\u05E1\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05DE\u05D9\u05D5\u05EA\u05E8",MissingScript:"\u05D7\u05E1\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9 \u05D0\u05D5 \u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",ExtraLeftMissingRight:"\u200E\\left \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05D7\u05E1\u05E8",Misplaced:"%1 \u05D1\u05DE\u05E7\u05D5\u05DD \u05E9\u05D2\u05D5\u05D9",MissingOpenForSub:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",MissingOpenForSup:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9",AmbiguousUseOf:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D3\u05D5\u05BE\u05DE\u05E9\u05DE\u05E2\u05D9 \u05D1\u05BE\u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BE\u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u05D7\u05E1\u05E8",MissingBoxFor:"\u05D7\u05E1\u05E8\u05D4 \u05EA\u05D9\u05D1\u05D4 \u05E2\u05D1\u05D5\u05E8 %1",MissingCloseBrace:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",UndefinedControlSequence:"\u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05D2\u05D3\u05E8 %1",DoubleExponent:"\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleSubscripts:"\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9 \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleExponentPrime:"\u05EA\u05D2 \u05D2\u05D5\u05E8\u05DD \u05DC\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC; \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",CantUseHash1:'\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1"\u05EA\u05D5 \u05DE\u05E7\u05E8\u05D5 \u05E4\u05E8\u05DE\u05D8\u05E8 #" \u05D1\u05DE\u05E6\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4',MisplacedMiddle:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF \u200E\\left \u05DC\u05BE\u200E\\right",MisplacedLimits:"\u05DE\u05D5\u05EA\u05E8 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05BE\u200E%1 \u05E8\u05E7 \u05D1\u05D0\u05D5\u05E4\u05E8\u05D8\u05D5\u05E8\u05D9\u05DD",MisplacedMoveRoot:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05E9\u05D5\u05E8\u05E9",MultipleCommand:"\u05DE\u05E1\u05E4\u05E8 \u05DE\u05E8\u05D5\u05D1\u05D4 \u05E9\u05DC \u200E%1",IntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E9\u05DC\u05DD",NotMathMLToken:"%1 \u05D0\u05D9\u05E0\u05D5 \u05D0\u05DC\u05DE\u05E0\u05D8 token \u05EA\u05E7\u05D9\u05DF",InvalidMathMLAttr:"\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF MathML \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF: %1",UnknownAttrForElement:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05BC\u05DB\u05E8 \u05D1\u05EA\u05D5\u05E8 \u05DE\u05D0\u05E4\u05D9\u05D9\u05DF \u05E9\u05DC %2",MaxMacroSub1:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D4\u05DE\u05E7\u05E8\u05D5 \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E7\u05E8\u05D9\u05D0\u05D4 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA \u05DC\u05DE\u05E7\u05E8\u05D5?",MaxMacroSub2:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E1\u05D1\u05D9\u05D1\u05EA LaTeX \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",MissingArgFor:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D7\u05E1\u05E8 \u05E2\u05D1\u05D5\u05E8 \u05C2%1",ExtraAlignTab:"\u05D8\u05D0\u05D1 \u05D9\u05D9\u05E9\u05D5\u05E8 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05D8\u05E7\u05E1\u05D8 \u05D1\u05BE\u200E\\cases",BracketMustBeDimension:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D3",InvalidEnv:"\u05E9\u05DD \u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF '%1'",UnknownEnv:"\u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D3\u05D5\u05E2\u05D4 '%1'",ExtraCloseLooking:"\u05E0\u05DE\u05E6\u05D0 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05E2\u05EA \u05D7\u05D9\u05E4\u05D5\u05E9 \u05D0\u05D7\u05E8 %1",MissingCloseBracket:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 '\u202A]\u202C' \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1",MissingOrUnrecognizedDelim:"\u05EA\u05D5\u05D7\u05DD \u05D7\u05E1\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05BC\u05DB\u05E8 \u05E2\u05D1\u05D5\u05E8 \u200E%1",MissingDimOrUnits:"\u05D7\u05E1\u05E8 \u05DE\u05DE\u05D3 \u05D0\u05D5 \u05D9\u05D7\u05D9\u05D3\u05D5\u05EA \u05E2\u05D1\u05D5\u05E8 \u200E%1",TokenNotFoundForCommand:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05E2\u05D1\u05D5\u05E8 %2",MathNotTerminated:"\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DE\u05EA\u05DE\u05D8\u05D9\u05EA \u05DC\u05D0 \u05D2\u05DE\u05D5\u05E8\u05D4 \u05D1\u05EA\u05D9\u05D1\u05EA \u05D4\u05D8\u05E7\u05E1\u05D8",IllegalMacroParam:"\u05D4\u05E4\u05E0\u05D9\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05E0\u05D4 \u05DC\u05E4\u05E8\u05DE\u05D8\u05E8 \u05E9\u05DC \u05DE\u05E7\u05E8\u05D5",MaxBufferSize:"\u05DE\u05D0\u05D2\u05E8 MathJax \u05E4\u05E0\u05D9\u05DE\u05D9 \u05D2\u05D3\u05D5\u05DC \u05DE\u05D3\u05D9; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05DB\u05D0\u05DF \u05E7\u05E8\u05D9\u05D0\u05EA \u05DE\u05E7\u05E8\u05D5 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",CommandNotAllowedInEnv:"\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05E8\u05E9\u05D4 \u05D1\u05E1\u05D1\u05D9\u05D1\u05D4 %2",MultipleLabel:"\u05D4\u05EA\u05D5\u05D5\u05D9\u05EA '%1' \u05DE\u05D5\u05D2\u05D3\u05E8\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E4\u05E2\u05DE\u05D9\u05DD",CommandAtTheBeginingOfLine:"\u05D4\u05DE\u05E7\u05E8\u05D5 %1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05EA\u05D7\u05D9\u05DC\u05EA \u05D4\u05E9\u05D5\u05E8\u05D4",IllegalAlign:"\u05D9\u05D9\u05E9\u05D5\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",BadMathStyleFor:"\u05E1\u05D2\u05E0\u05D5\u05DF \u05E0\u05D5\u05E1\u05D7\u05D4 \u05D2\u05E8\u05D5\u05E2 \u05E2\u05D1\u05D5\u05E8 \u200E%1",PositiveIntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DC\u05DD \u05D7\u05D9\u05D5\u05D1\u05D9",ErroneousNestingEq:"\u05E7\u05D9\u05E0\u05D5\u05DF \u05E9\u05D2\u05D5\u05D9 \u05E9\u05DC \u05DE\u05D1\u05E0\u05D9 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4",MultlineRowsOneCol:"\u05DC\u05E9\u05D5\u05E8\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05D4\u05E1\u05D1\u05D9\u05D1\u05D4 %1 \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05D4\u05D9\u05D5\u05EA \u05E8\u05E7 \u05E2\u05DE\u05D5\u05D3\u05D4 \u05D0\u05D7\u05EA",MultipleBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D4\u05D5\u05D2\u05D3\u05E8 \u05E4\u05E2\u05DE\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%2",InvalidBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF '%1' \u05D0\u05D9\u05E0\u05D5 \u05E0\u05E8\u05D0\u05D4 \u05DB\u05DE\u05D5 \u05E6\u05D1\u05E2, \u05DE\u05DE\u05D3 \u05D3\u05D9\u05E4\u05D5\u05DF \u05D0\u05D5 \u05E1\u05D2\u05E0\u05D5\u05DF",ExtraEndMissingBegin:"\u05E0\u05DE\u05E6\u05D0 \u200E%1 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u200E\\begingroup \u05D7\u05E1\u05E8",GlobalNotFollowedBy:"\u200E%1 \u05E9\u05D0\u05D9\u05DF \u05D0\u05D7\u05E8\u05D9\u05D5 \u200E\\let\u200F, \u200E\\def \u05D0\u05D5 \u200E\\newcommand",UndefinedColorModel:"\u05D3\u05D2\u05DD \u05D4\u05E6\u05D1\u05E2 '%1' \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05D2\u05D3\u05E8",ModelArg1:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D3\u05D2\u05DD %1 \u05D3\u05D5\u05E8\u05E9\u05D9\u05DD 3 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD",InvalidDecimalNumber:"\u05DE\u05E1\u05E4\u05E8 \u05E2\u05E9\u05E8\u05D5\u05E0\u05D9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",ModelArg2:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D3\u05D2\u05DD %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF %2 \u05DC\u05D1\u05D9\u05DF %3",InvalidNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",NewextarrowArg1:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E8\u05D0\u05E9\u05D5\u05DF \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",NewextarrowArg2:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05E0\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05E0\u05D9 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD \u05E9\u05DC\u05DE\u05D9\u05DD \u05DE\u05D5\u05E4\u05E8\u05D3\u05D9\u05DD \u05D1\u05E4\u05E1\u05D9\u05E7",NewextarrowArg3:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05DC\u05D9\u05E9\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05EA\u05D5 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3",NoClosingChar:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05DE\u05E1\u05D9\u05D9\u05DD",IllegalControlSequenceName:"\u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E2\u05D1\u05D5\u05E8 \u200E%1",IllegalParamNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E9\u05DC \u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",MissingCS:"\u05D0\u05D7\u05E8\u05D9 \u200E%1 \u05D9\u05E9 \u05DC\u05DB\u05EA\u05D5\u05D1 \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",CantUseHash2:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D1\u05BE# \u05D1\u05EA\u05D1\u05E0\u05D9\u05EA \u05E2\u05D1\u05D5\u05E8 %1",SequentialParam:"\u05D4\u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D5\u05E1\u05E4\u05E8\u05D9\u05DD \u05D1\u05E8\u05E6\u05E3",MissingReplacementString:"\u05DE\u05D7\u05E8\u05D5\u05D6\u05EA \u05D4\u05D7\u05DC\u05E4\u05D4 \u05D7\u05E1\u05E8\u05D4 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC \u200E%1",MismatchUseDef:"\u05D4\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05BE\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05D0\u05DD \u05DC\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC\u05D5",RunawayArgument:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E8\u05D7 \u05DE\u05BE\u200E%1?",NoClosingDelim:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05EA\u05D5\u05D7\u05DD \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u200E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/TeX.js");
+MathJax.Localization.addTranslation("he","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",ExtraCloseMissingOpen:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8",MissingLeftExtraRight:"\u05D7\u05D5\u05E7 \u200E\\left \u05D7\u05E1\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05DE\u05D9\u05D5\u05EA\u05E8",MissingScript:"\u05D7\u05E1\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9 \u05D0\u05D5 \u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",ExtraLeftMissingRight:"\u200E\\left \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05D7\u05E1\u05E8",Misplaced:"%1 \u05D1\u05DE\u05E7\u05D5\u05DD \u05E9\u05D2\u05D5\u05D9",MissingOpenForSub:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",MissingOpenForSup:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9",AmbiguousUseOf:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D3\u05D5\u05BE\u05DE\u05E9\u05DE\u05E2\u05D9 \u05D1\u05BE\u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BE\u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u05D7\u05E1\u05E8",MissingBoxFor:"\u05D7\u05E1\u05E8\u05D4 \u05EA\u05D9\u05D1\u05D4 \u05E2\u05D1\u05D5\u05E8 %1",MissingCloseBrace:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",UndefinedControlSequence:"\u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05D2\u05D3\u05E8 %1",DoubleExponent:"\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleSubscripts:"\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9 \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleExponentPrime:"\u05EA\u05D2 \u05D2\u05D5\u05E8\u05DD \u05DC\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC; \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",CantUseHash1:'\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1"\u05EA\u05D5 \u05DE\u05E7\u05E8\u05D5 \u05E4\u05E8\u05DE\u05D8\u05E8 #" \u05D1\u05DE\u05E6\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4',MisplacedMiddle:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF \u200E\\left \u05DC\u05BE\u200E\\right",MisplacedLimits:"\u05DE\u05D5\u05EA\u05E8 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05BE\u200E%1 \u05E8\u05E7 \u05D1\u05D0\u05D5\u05E4\u05E8\u05D8\u05D5\u05E8\u05D9\u05DD",MisplacedMoveRoot:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05E9\u05D5\u05E8\u05E9",MultipleCommand:"\u05DE\u05E1\u05E4\u05E8 \u05DE\u05E8\u05D5\u05D1\u05D4 \u05E9\u05DC \u200E%1",IntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E9\u05DC\u05DD",NotMathMLToken:"%1 \u05D0\u05D9\u05E0\u05D5 \u05D0\u05DC\u05DE\u05E0\u05D8 token \u05EA\u05E7\u05D9\u05DF",InvalidMathMLAttr:"\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF MathML \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF: %1",UnknownAttrForElement:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05BC\u05DB\u05E8 \u05D1\u05EA\u05D5\u05E8 \u05DE\u05D0\u05E4\u05D9\u05D9\u05DF \u05E9\u05DC %2",MaxMacroSub1:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D4\u05DE\u05E7\u05E8\u05D5 \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E7\u05E8\u05D9\u05D0\u05D4 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA \u05DC\u05DE\u05E7\u05E8\u05D5?",MaxMacroSub2:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E1\u05D1\u05D9\u05D1\u05EA LaTeX \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",MissingArgFor:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D7\u05E1\u05E8 \u05E2\u05D1\u05D5\u05E8 \u05C2%1",ExtraAlignTab:"\u05D8\u05D0\u05D1 \u05D9\u05D9\u05E9\u05D5\u05E8 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05D8\u05E7\u05E1\u05D8 \u05D1\u05BE\u200E\\cases",BracketMustBeDimension:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D3",InvalidEnv:"\u05E9\u05DD \u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF '%1'",UnknownEnv:"\u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D3\u05D5\u05E2\u05D4 '%1'",ExtraCloseLooking:"\u05E0\u05DE\u05E6\u05D0 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05E2\u05EA \u05D7\u05D9\u05E4\u05D5\u05E9 \u05D0\u05D7\u05E8 %1",MissingCloseBracket:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 '\u202A]\u202C' \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1",MissingOrUnrecognizedDelim:"\u05EA\u05D5\u05D7\u05DD \u05D7\u05E1\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05BC\u05DB\u05E8 \u05E2\u05D1\u05D5\u05E8 \u200E%1",MissingDimOrUnits:"\u05D7\u05E1\u05E8 \u05DE\u05DE\u05D3 \u05D0\u05D5 \u05D9\u05D7\u05D9\u05D3\u05D5\u05EA \u05E2\u05D1\u05D5\u05E8 \u200E%1",TokenNotFoundForCommand:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05E2\u05D1\u05D5\u05E8 %2",MathNotTerminated:"\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DE\u05EA\u05DE\u05D8\u05D9\u05EA \u05DC\u05D0 \u05D2\u05DE\u05D5\u05E8\u05D4 \u05D1\u05EA\u05D9\u05D1\u05EA \u05D4\u05D8\u05E7\u05E1\u05D8",IllegalMacroParam:"\u05D4\u05E4\u05E0\u05D9\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05E0\u05D4 \u05DC\u05E4\u05E8\u05DE\u05D8\u05E8 \u05E9\u05DC \u05DE\u05E7\u05E8\u05D5",MaxBufferSize:"\u05DE\u05D0\u05D2\u05E8 MathJax \u05E4\u05E0\u05D9\u05DE\u05D9 \u05D2\u05D3\u05D5\u05DC \u05DE\u05D3\u05D9; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05DB\u05D0\u05DF \u05E7\u05E8\u05D9\u05D0\u05EA \u05DE\u05E7\u05E8\u05D5 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",CommandNotAllowedInEnv:"\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05E8\u05E9\u05D4 \u05D1\u05E1\u05D1\u05D9\u05D1\u05D4 %2",MultipleLabel:"\u05D4\u05EA\u05D5\u05D5\u05D9\u05EA '%1' \u05DE\u05D5\u05D2\u05D3\u05E8\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E4\u05E2\u05DE\u05D9\u05DD",CommandAtTheBeginingOfLine:"\u05D4\u05DE\u05E7\u05E8\u05D5 %1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05EA\u05D7\u05D9\u05DC\u05EA \u05D4\u05E9\u05D5\u05E8\u05D4",IllegalAlign:"\u05D9\u05D9\u05E9\u05D5\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",BadMathStyleFor:"\u05E1\u05D2\u05E0\u05D5\u05DF \u05E0\u05D5\u05E1\u05D7\u05D4 \u05D2\u05E8\u05D5\u05E2 \u05E2\u05D1\u05D5\u05E8 \u200E%1",PositiveIntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DC\u05DD \u05D7\u05D9\u05D5\u05D1\u05D9",ErroneousNestingEq:"\u05E7\u05D9\u05E0\u05D5\u05DF \u05E9\u05D2\u05D5\u05D9 \u05E9\u05DC \u05DE\u05D1\u05E0\u05D9 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4",MultlineRowsOneCol:"\u05DC\u05E9\u05D5\u05E8\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05D4\u05E1\u05D1\u05D9\u05D1\u05D4 %1 \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05D4\u05D9\u05D5\u05EA \u05E8\u05E7 \u05E2\u05DE\u05D5\u05D3\u05D4 \u05D0\u05D7\u05EA",MultipleBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D4\u05D5\u05D2\u05D3\u05E8 \u05E4\u05E2\u05DE\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%2",InvalidBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF '%1' \u05D0\u05D9\u05E0\u05D5 \u05E0\u05E8\u05D0\u05D4 \u05DB\u05DE\u05D5 \u05E6\u05D1\u05E2, \u05DE\u05DE\u05D3 \u05D3\u05D9\u05E4\u05D5\u05DF \u05D0\u05D5 \u05E1\u05D2\u05E0\u05D5\u05DF",ExtraEndMissingBegin:"\u05E0\u05DE\u05E6\u05D0 \u200E%1 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u200E\\begingroup \u05D7\u05E1\u05E8",GlobalNotFollowedBy:"\u200E%1 \u05E9\u05D0\u05D9\u05DF \u05D0\u05D7\u05E8\u05D9\u05D5 \u200E\\let\u200F, \u200E\\def \u05D0\u05D5 \u200E\\newcommand",UndefinedColorModel:"\u05D3\u05D2\u05DD \u05D4\u05E6\u05D1\u05E2 '%1' \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05D2\u05D3\u05E8",ModelArg1:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D3\u05D2\u05DD %1 \u05D3\u05D5\u05E8\u05E9\u05D9\u05DD 3 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD",InvalidDecimalNumber:"\u05DE\u05E1\u05E4\u05E8 \u05E2\u05E9\u05E8\u05D5\u05E0\u05D9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",ModelArg2:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D3\u05D2\u05DD %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF %2 \u05DC\u05D1\u05D9\u05DF %3",InvalidNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",NewextarrowArg1:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E8\u05D0\u05E9\u05D5\u05DF \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",NewextarrowArg2:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05E0\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05E0\u05D9 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD \u05E9\u05DC\u05DE\u05D9\u05DD \u05DE\u05D5\u05E4\u05E8\u05D3\u05D9\u05DD \u05D1\u05E4\u05E1\u05D9\u05E7",NewextarrowArg3:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05DC\u05D9\u05E9\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05EA\u05D5 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3",NoClosingChar:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05DE\u05E1\u05D9\u05D9\u05DD",IllegalControlSequenceName:"\u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E2\u05D1\u05D5\u05E8 \u200E%1",IllegalParamNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E9\u05DC \u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",MissingCS:"\u05D0\u05D7\u05E8\u05D9 \u200E%1 \u05D9\u05E9 \u05DC\u05DB\u05EA\u05D5\u05D1 \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",CantUseHash2:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D1\u05BE# \u05D1\u05EA\u05D1\u05E0\u05D9\u05EA \u05E2\u05D1\u05D5\u05E8 %1",SequentialParam:"\u05D4\u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D5\u05E1\u05E4\u05E8\u05D9\u05DD \u05D1\u05E8\u05E6\u05E3",MissingReplacementString:"\u05DE\u05D7\u05E8\u05D5\u05D6\u05EA \u05D4\u05D7\u05DC\u05E4\u05D4 \u05D7\u05E1\u05E8\u05D4 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC \u200E%1",MismatchUseDef:"\u05D4\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05BE\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05D0\u05DD \u05DC\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC\u05D5",RunawayArgument:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E8\u05D7 \u05DE\u05BE\u200E%1?",NoClosingDelim:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05EA\u05D5\u05D7\u05DD \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u200E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/TeX.js");
diff --git a/localization/he/he.js b/localization/he/he.js
index 3f1e90230..229a91bf3 100644
--- a/localization/he/he.js
+++ b/localization/he/he.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he",null,{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA",fontDirection:"rtl",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:'MathJax \u05DE\u05E6\u05D0 \u05E2\u05D5\u05D2\u05D9\u05D9\u05EA \u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05E9\u05EA\u05DE\u05E9 \u05E9\u05DB\u05D5\u05DC\u05DC\u05EA \u05E7\u05D5\u05D3 \u05DC\u05D4\u05E8\u05E6\u05D4. \u05D4\u05D0\u05DD \u05DC\u05D4\u05E8\u05D9\u05E5 \u05D0\u05D5\u05EA\u05D5?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 "\u05D1\u05D9\u05D8\u05D5\u05DC" \u05D0\u05DC\u05D0 \u05D0\u05DD \u05D4\u05D2\u05D3\u05E8\u05EA \u05D0\u05EA \u05D4\u05E2\u05D5\u05D2\u05D9\u05D9\u05D4 \u05D1\u05E2\u05E6\u05DE\u05DA.)',MathProcessingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D4",MathError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E0\u05D5\u05E1\u05D7\u05D4",LoadFile:"\u05D8\u05E2\u05D9\u05E0\u05EA %1",Loading:"\u05D8\u05E2\u05D9\u05E0\u05D4",LoadFailed:"\u05D4\u05E7\u05D5\u05D1\u05E5 \u05DC\u05D0 \u05E0\u05D8\u05E2\u05DF: %1",ProcessMath:"\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Processing:"\u05E2\u05D9\u05D1\u05D5\u05D3",TypesetMath:"\u05E1\u05D3\u05B7\u05E8 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Typesetting:"\u05E1\u05D3\u05B7\u05E8",MathJaxNotSupported:"\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05DE\u05DA \u05D1\u05BEMathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2){return 2}if(a!==0&&a%10!==0){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/he.js");
+MathJax.Localization.addTranslation("he",null,{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA",fontDirection:"rtl",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:'MathJax \u05DE\u05E6\u05D0 \u05E2\u05D5\u05D2\u05D9\u05D9\u05EA \u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05E9\u05EA\u05DE\u05E9 \u05E9\u05DB\u05D5\u05DC\u05DC\u05EA \u05E7\u05D5\u05D3 \u05DC\u05D4\u05E8\u05E6\u05D4. \u05D4\u05D0\u05DD \u05DC\u05D4\u05E8\u05D9\u05E5 \u05D0\u05D5\u05EA\u05D5?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 "\u05D1\u05D9\u05D8\u05D5\u05DC" \u05D0\u05DC\u05D0 \u05D0\u05DD \u05D4\u05D2\u05D3\u05E8\u05EA \u05D0\u05EA \u05D4\u05E2\u05D5\u05D2\u05D9\u05D9\u05D4 \u05D1\u05E2\u05E6\u05DE\u05DA.)',MathProcessingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D4",MathError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E0\u05D5\u05E1\u05D7\u05D4",LoadFile:"\u05D8\u05E2\u05D9\u05E0\u05EA %1",Loading:"\u05D8\u05E2\u05D9\u05E0\u05D4",LoadFailed:"\u05D4\u05E7\u05D5\u05D1\u05E5 \u05DC\u05D0 \u05E0\u05D8\u05E2\u05DF: %1",ProcessMath:"\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Processing:"\u05E2\u05D9\u05D1\u05D5\u05D3",TypesetMath:"\u05E1\u05D3\u05B7\u05E8 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Typesetting:"\u05E1\u05D3\u05B7\u05E8",MathJaxNotSupported:"\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05DE\u05DA \u05D1\u05BEMathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2){return 2}if(a!==0&&a%10!==0){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/he.js");
diff --git a/localization/ia/FontWarnings.js b/localization/ia/FontWarnings.js
index 09e86a776..9500ebd27 100644
--- a/localization/ia/FontWarnings.js
+++ b/localization/ia/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/FontWarnings.js");
+MathJax.Localization.addTranslation("ia","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax utilisa typos de litteras discargate del web pro presentar le formulas mathematic in iste pagina. Istes require tempore pro esser discargate; le pagina apparerea plus rapidemente si vos installa le typos de characteres mathematic directemente in le dossier de typos de litteras de vostre computator.",imageFonts:"MathJax presenta le characteres mathematic per medio de imagines e non usa typos de litteras web o local. Isto rende le presentation plus lente e vostre impressor pote imprimer le formulas a un resolution basse.",noFonts:"MathJax non ha potite localisar un typo de litteras pro presentar su formulas mathematic, e le characteres in imagines non es disponibile, dunque illo debe usar le characteres Unicode generic in le sperantia que vostre navigator sape monstrar los correctemente. Alcun characteres pote apparer de modo erronee o esser absente.",webFonts:"Le major parte del navigatores moderne permitte le discargamento de typos de litteras per le web. Si vos actualisa le version de vostre navigator (o cambia de navigator) le qualitate graphic del formulas mathematic in iste pagina poterea meliorar se.",fonts:"MathJax pote usar le [typos de litteras STIX](%1) o le [typos de litteras TeX de MathJax](%2). Discarga e installa un de istes pro meliorar vostre expreientia de MathJax.",STIXPage:"Iste pagina ha essite concipite pro usar le [typos de litteras STIX](%1). Discarga e installa istes pro meliorar vostre experientia con MathJax.",TeXPage:"Iste pagina ha essite concipite pro usar le [typos de litteras TeX de MathJax](%1). Discarga e installa istes pro meliorar vostre experientia con MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/FontWarnings.js");
diff --git a/localization/ia/HTML-CSS.js b/localization/ia/HTML-CSS.js
index 33fdfdbe6..660977c21 100644
--- a/localization/ia/HTML-CSS.js
+++ b/localization/ia/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HTML-CSS.js");
+MathJax.Localization.addTranslation("ia","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HTML-CSS.js");
diff --git a/localization/ia/HelpDialog.js b/localization/ia/HelpDialog.js
index 94d7eb0b1..a677d3707 100644
--- a/localization/ia/HelpDialog.js
+++ b/localization/ia/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"Adjuta de MathJax",MathJax:"*MathJax* es un bibliotheca in JavaScript que permitte al autores includer formulas mathematic in lor paginas web. Nulle action del lector es necessari pro facer isto functionar.",Browsers:"*Navigatores*: MathJax functiona con tote le navigatores web moderne como IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e le major parte del navigatores in apparatos mobile.",Menu:"*Menu mathematic*: MathJax adde un menu contextual al equationes. Pro acceder a iste menu, clicca sur un formula premente le button dextre del mus o le clave CTRL.",ShowMath:"*Monstrar formula como* permitte revelar le codice-fonte del formula pro copiar e collar (in formato MathML or in su formato original).",Settings:"*Configuration* te da le controlo sur le functionalitate de MathJax, como le dimension del formulas, e le mechanismo usate pro presentar equationes.",Language:"*Lingua* permitte seliger le lingua usate per MathJax pro su menus e messages de aviso.",Zoom:"*Math Zoom*: Si vos ha difficultate a leger un equation, MathJax pote aggrandir lo pro facilitar le lectura.",Accessibilty:"*Accessibilitate*: MathJax functiona automaticamente con lectores de schermo pro render le formulas accessibile al personas qui vide mal.",Fonts:"*Typos de litteras*: MathJax usa certe typos de litteras mathematic si illos es installate in vostre computator; si non, illo usa typos de litteras obtenite per le web. Ben que non obligatori, le typos de litteras installate localmente rendera le composition plus rapide. Nos suggere installar le [typos de litteras STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HelpDialog.js");
+MathJax.Localization.addTranslation("ia","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Adjuta de MathJax",MathJax:"*MathJax* es un bibliotheca in JavaScript que permitte al autores includer formulas mathematic in lor paginas web. Nulle action del lector es necessari pro facer isto functionar.",Browsers:"*Navigatores*: MathJax functiona con tote le navigatores web moderne como IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e le major parte del navigatores in apparatos mobile.",Menu:"*Menu mathematic*: MathJax adde un menu contextual al equationes. Pro acceder a iste menu, clicca sur un formula premente le button dextre del mus o le clave CTRL.",ShowMath:"*Monstrar formula como* permitte revelar le codice-fonte del formula pro copiar e collar (in formato MathML or in su formato original).",Settings:"*Configuration* te da le controlo sur le functionalitate de MathJax, como le dimension del formulas, e le mechanismo usate pro presentar equationes.",Language:"*Lingua* permitte seliger le lingua usate per MathJax pro su menus e messages de aviso.",Zoom:"*Math Zoom*: Si vos ha difficultate a leger un equation, MathJax pote aggrandir lo pro facilitar le lectura.",Accessibilty:"*Accessibilitate*: MathJax functiona automaticamente con lectores de schermo pro render le formulas accessibile al personas qui vide mal.",Fonts:"*Typos de litteras*: MathJax usa certe typos de litteras mathematic si illos es installate in vostre computator; si non, illo usa typos de litteras obtenite per le web. Ben que non obligatori, le typos de litteras installate localmente rendera le composition plus rapide. Nos suggere installar le [typos de litteras STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HelpDialog.js");
diff --git a/localization/ia/MathML.js b/localization/ia/MathML.js
index 4f9aaf908..67dc3c451 100644
--- a/localization/ia/MathML.js
+++ b/localization/ia/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathML.js");
+MathJax.Localization.addTranslation("ia","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathML.js");
diff --git a/localization/ia/MathMenu.js b/localization/ia/MathMenu.js
index 9b5622e67..8e13e2a35 100644
--- a/localization/ia/MathMenu.js
+++ b/localization/ia/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","MathMenu",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathMenu.js");
+MathJax.Localization.addTranslation("ia","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathMenu.js");
diff --git a/localization/ia/TeX.js b/localization/ia/TeX.js
index cb86d9209..67a433eb1 100644
--- a/localization/ia/TeX.js
+++ b/localization/ia/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/TeX.js");
+MathJax.Localization.addTranslation("ia","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/TeX.js");
diff --git a/localization/ia/ia.js b/localization/ia/ia.js
index 2c3651fd4..cda15a2b6 100644
--- a/localization/ia/ia.js
+++ b/localization/ia/ia.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia",null,{menuTitle:"interlingua",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax ha trovate un cookie con un configuration de usator que include codice executabile. Executar iste codice?\n\n(Preme Cancellar si vos mesme non ha installate iste cookie.)",MathProcessingError:"Error de tractamento de formula mathematic",MathError:"Error in formula",LoadFile:"Carga %1",Loading:"Cargamento",LoadFailed:"Cargamento del file fallite: %1",ProcessMath:"Tracta formulas: %1%%",Processing:"Tractamento",TypesetMath:"Compone formulas: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Vostre navigator non supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/ia.js");
+MathJax.Localization.addTranslation("ia",null,{menuTitle:"interlingua",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax ha trovate un cookie con un configuration de usator que include codice executabile. Executar iste codice?\n\n(Preme Cancellar si vos mesme non ha installate iste cookie.)",MathProcessingError:"Error de tractamento de formula mathematic",MathError:"Error in formula",LoadFile:"Carga %1",Loading:"Cargamento",LoadFailed:"Cargamento del file fallite: %1",ProcessMath:"Tracta formulas: %1%%",Processing:"Tractamento",TypesetMath:"Compone formulas: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Vostre navigator non supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/ia.js");
diff --git a/localization/it/FontWarnings.js b/localization/it/FontWarnings.js
index 415d408e3..948701eb7 100644
--- a/localization/it/FontWarnings.js
+++ b/localization/it/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax sta usando dei web font per visualizzare le formule di questa pagina. Tali font richiedono tempo per essere scaricati, perci\u00F2 la pagina sarebbe resa pi\u00F9 velocemente se tu installassi dei font matematici direttamente nella cartella dei font di sistema.",imageFonts:"MathJax sta usando dei font immagine invece di quelli locali o dei web font. Questo rallenta la resa oltremodo e le formule potrebbero non essere stampate alla massima risoluzione dalla tua stampante.",noFonts:"MathJax non \u00E8 in grado di trovare un font adatto a visualizzare le formule e i font immagini non sono disponibili; perci\u00F2 utilizzer\u00E1 dei generici caratteri unicode sperando che il tuo browser sia in grado di visualizzarli. Alcuni caratteri potrebbero non essere mostrati correttamente o mancare del tutto.",webFonts:"I browser attuali permettono di scaricare i font dal web. Aggiornando il tuo browser a una versione pi\u00F9 recente (o cambiando del tutto browser) la qualit\u00E1 delle formule di questa pagina potrebbe migliorare.",fonts:"MathJax pu\u00F2 usare sia gli [STIX font](%1) che i [MathJax TeX font](%2). Scarica e installa uno di questi font per avere una resa migliore da MathJax.",STIXPage:"Questa pagina richiede l'uso degli [STIX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax.",TeXPage:"Questa pagina richiede l'uso dei [MathJax TeX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/FontWarnings.js");
+MathJax.Localization.addTranslation("it","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax sta usando dei web font per visualizzare le formule di questa pagina. Tali font richiedono tempo per essere scaricati, perci\u00F2 la pagina sarebbe resa pi\u00F9 velocemente se tu installassi dei font matematici direttamente nella cartella dei font di sistema.",imageFonts:"MathJax sta usando dei font immagine invece di quelli locali o dei web font. Questo rallenta la resa oltremodo e le formule potrebbero non essere stampate alla massima risoluzione dalla tua stampante.",noFonts:"MathJax non \u00E8 in grado di trovare un font adatto a visualizzare le formule e i font immagini non sono disponibili; perci\u00F2 utilizzer\u00E1 dei generici caratteri unicode sperando che il tuo browser sia in grado di visualizzarli. Alcuni caratteri potrebbero non essere mostrati correttamente o mancare del tutto.",webFonts:"I browser attuali permettono di scaricare i font dal web. Aggiornando il tuo browser a una versione pi\u00F9 recente (o cambiando del tutto browser) la qualit\u00E1 delle formule di questa pagina potrebbe migliorare.",fonts:"MathJax pu\u00F2 usare sia gli [STIX font](%1) che i [MathJax TeX font](%2). Scarica e installa uno di questi font per avere una resa migliore da MathJax.",STIXPage:"Questa pagina richiede l'uso degli [STIX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax.",TeXPage:"Questa pagina richiede l'uso dei [MathJax TeX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/FontWarnings.js");
diff --git a/localization/it/HTML-CSS.js b/localization/it/HTML-CSS.js
index 44d5ab719..c29d71f01 100644
--- a/localization/it/HTML-CSS.js
+++ b/localization/it/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Caricamento web-font %1",CantLoadWebFont:"Impossibile caricare il web font %1",FirefoxCantLoadWebFont:"Firefox non pu\u00F2 scaricare i web font dal server remoto",CantFindFontUsing:"Impossibile trovare un font valido tra %1",WebFontsNotAvailable:"Web font non disponibili -- font immagini in uso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HTML-CSS.js");
+MathJax.Localization.addTranslation("it","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Caricamento web-font %1",CantLoadWebFont:"Impossibile caricare il web font %1",FirefoxCantLoadWebFont:"Firefox non pu\u00F2 scaricare i web font dal server remoto",CantFindFontUsing:"Impossibile trovare un font valido tra %1",WebFontsNotAvailable:"Web font non disponibili -- font immagini in uso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HTML-CSS.js");
diff --git a/localization/it/HelpDialog.js b/localization/it/HelpDialog.js
index 09fc3b502..4d99ec8cc 100644
--- a/localization/it/HelpDialog.js
+++ b/localization/it/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"Aiuto su MathJax",MathJax:"*MathJax* \u00E8 una libreria JavaScript che permette agli autori di includere formule matematiche nelle loro pagine web. Come lettore, non devi far nulla perch\u00E9 questo accada.",Browsers:"*Browser*: MathJax funziona con tutti i moderni browser inclusi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e gran parte di quelli per cellulare.",Menu:"*Menu Formule*: MathJax aggiunge un menu contestuale alle equazioni. Fai click col tasto destro del mouse oppure CTRL-click su una qualsiasi formula per accedere a tale menu.",ShowMath:"*Mostra formula come* ti permette di visualizzare il codice sorgente per il copia e incolla (in formato MathML o in quello originale).",Settings:"*Impostazioni* permette di controllare le caratteristiche di MathJax, come la grandezza delle formule e il meccanismo usato per mostrare le equazioni.",Language:"*Lingua* ti permette di selezionare la lingua usata da MathJax nei propri menu e nei messaggi d'avviso.",Zoom:"*Zoom formula*: se hai difficolt\u00E1 nella lettura di un'equazione, MathJax pu\u00F2 ingrandirla per permetterti di vederla meglio.",Accessibilty:"*Accessibilit\u00E1*: MathJax funzioner\u00E1 automaticamente con gli screen reader per rendere le formule accessibili a chi ha problemi di vista.",Fonts:"*Font*: MathJax user\u00E1 certi tipi di font se presenti sul tuo computer; altrimenti usera i web font. Sebbene non sia richiesto, font installati sul proprio computer velocizzeranno l'esecuzione di MathJax. Ti suggeriamo di installare se puoi gli [STIX font](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HelpDialog.js");
+MathJax.Localization.addTranslation("it","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Aiuto su MathJax",MathJax:"*MathJax* \u00E8 una libreria JavaScript che permette agli autori di includere formule matematiche nelle loro pagine web. Come lettore, non devi far nulla perch\u00E9 questo accada.",Browsers:"*Browser*: MathJax funziona con tutti i moderni browser inclusi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e gran parte di quelli per cellulare.",Menu:"*Menu Formule*: MathJax aggiunge un menu contestuale alle equazioni. Fai click col tasto destro del mouse oppure CTRL-click su una qualsiasi formula per accedere a tale menu.",ShowMath:"*Mostra formula come* ti permette di visualizzare il codice sorgente per il copia e incolla (in formato MathML o in quello originale).",Settings:"*Impostazioni* permette di controllare le caratteristiche di MathJax, come la grandezza delle formule e il meccanismo usato per mostrare le equazioni.",Language:"*Lingua* ti permette di selezionare la lingua usata da MathJax nei propri menu e nei messaggi d'avviso.",Zoom:"*Zoom formula*: se hai difficolt\u00E1 nella lettura di un'equazione, MathJax pu\u00F2 ingrandirla per permetterti di vederla meglio.",Accessibilty:"*Accessibilit\u00E1*: MathJax funzioner\u00E1 automaticamente con gli screen reader per rendere le formule accessibili a chi ha problemi di vista.",Fonts:"*Font*: MathJax user\u00E1 certi tipi di font se presenti sul tuo computer; altrimenti usera i web font. Sebbene non sia richiesto, font installati sul proprio computer velocizzeranno l'esecuzione di MathJax. Ti suggeriamo di installare se puoi gli [STIX font](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HelpDialog.js");
diff --git a/localization/it/MathML.js b/localization/it/MathML.js
index 0df158d0c..eafd81e48 100644
--- a/localization/it/MathML.js
+++ b/localization/it/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"mglyph errato: %1",BadMglyphFont:"Font errato: %1",MathPlayer:"MathJax non \u00E8 stato in grado di avviare MathPlayer.\n\nSe MathPlayer non \u00E8 installato, devi prima installarlo.\nPu\u00F2 darsi anche che le tue impostazioni di sicurezza stiano impedendo\nl'esecuzione dei controlli ActiveX. Controlla la voce Opzioni Internet\ndel menu Strumenti e seleziona il pannello Protezione, quindi premi\nil pulsante 'Livello personalizzato...'. Verifica che siano abilitati\n'Esegui controlli ActiveX e plug-in' e 'Comportamento file binari e script'\n\nOra come ora vedrai dei messaggi d'errore al posto delle formule.",CantCreateXMLParser:"MathJax non \u00E8 in grado di creare un parser XML per MathML. Verifica che\nl'impostazione 'Esegui script controlli ActiveX contrassegnati come sicuri'\nsia abilitata (usa la voce Opzioni Internet nel menu Strumenti,\ne seleziona il pannello Sicurezza, quindi premi il pulsante\n'Livello personalizzato...' per far questo).\n\nLe equazioni in MathML non potranno essere elaborate da MathJax.",UnknownNodeType:"Tipo di nodo sconosciuto: %1",UnexpectedTextNode:"Nodo di testo non previsto: %1",ErrorParsingMathML:"Errore nell'analisi di MathML",ParsingError:"Errore nell'analisi di MathML: %1",MathMLSingleElement:"MathML deve essere formato da un singolo elemento",MathMLRootElement:"MathML deve essere formato da un elemento \u003Cmath\u003E, non %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathML.js");
+MathJax.Localization.addTranslation("it","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"mglyph errato: %1",BadMglyphFont:"Font errato: %1",MathPlayer:"MathJax non \u00E8 stato in grado di avviare MathPlayer.\n\nSe MathPlayer non \u00E8 installato, devi prima installarlo.\nPu\u00F2 darsi anche che le tue impostazioni di sicurezza stiano impedendo\nl'esecuzione dei controlli ActiveX. Controlla la voce Opzioni Internet\ndel menu Strumenti e seleziona il pannello Protezione, quindi premi\nil pulsante 'Livello personalizzato...'. Verifica che siano abilitati\n'Esegui controlli ActiveX e plug-in' e 'Comportamento file binari e script'\n\nOra come ora vedrai dei messaggi d'errore al posto delle formule.",CantCreateXMLParser:"MathJax non \u00E8 in grado di creare un parser XML per MathML. Verifica che\nl'impostazione 'Esegui script controlli ActiveX contrassegnati come sicuri'\nsia abilitata (usa la voce Opzioni Internet nel menu Strumenti,\ne seleziona il pannello Sicurezza, quindi premi il pulsante\n'Livello personalizzato...' per far questo).\n\nLe equazioni in MathML non potranno essere elaborate da MathJax.",UnknownNodeType:"Tipo di nodo sconosciuto: %1",UnexpectedTextNode:"Nodo di testo non previsto: %1",ErrorParsingMathML:"Errore nell'analisi di MathML",ParsingError:"Errore nell'analisi di MathML: %1",MathMLSingleElement:"MathML deve essere formato da un singolo elemento",MathMLRootElement:"MathML deve essere formato da un elemento \u003Cmath\u003E, non %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathML.js");
diff --git a/localization/it/MathMenu.js b/localization/it/MathMenu.js
index 28e721fdc..64bb0324b 100644
--- a/localization/it/MathMenu.js
+++ b/localization/it/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Mostra formula come",MathMLcode:"Codice MathML",OriginalMathML:"MathML originale",TeXCommands:"Comandi TeX",AsciiMathInput:"Input AsciiMathML",Original:"Modulo originale",ErrorMessage:"Messaggio d'errore",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Aggiungi suggerimenti Tex a MathML",Settings:"Impostazioni formule",ZoomTrigger:"Attivazione zoom",Hover:"Sopra",Click:"Click",DoubleClick:"Doppio-Click",NoZoom:"Niente zoom",TriggerRequires:"L'attivazione richiede:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Fattore di zoom",Renderer:"Processore per le formule",MPHandles:"Affida a MathPlayer",MenuEvents:"Eventi menu",MouseEvents:"Eventi mouse",MenuAndMouse:"Eventi mouse e menu",FontPrefs:"Preferenze font",ForHTMLCSS:"Per HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (locale)",TeXWeb:"TeX (web)",TeXImage:"TeX (immagini)",STIXLocal:"STIX (locale)",ContextMenu:"Menu contestuale",Browser:"Browser",Scale:"Scala tutte le formule...",Discoverable:"Evidenzia al passaggio",Locale:"Lingua",LoadLocale:"Scarica dall'URL ...",About:"Informazioni su MathJax",Help:"Aiuto di MathJax",localTeXfonts:"usare font TeX locale",webTeXfonts:"usare font Tex dal web",imagefonts:"usare font immagine",localSTIXfonts:"usare font STIX locale",webSVGfonts:"usare font SVG dal web",genericfonts:"usare generici font unicode",wofforotffonts:"font woff oppure otf",eotffonts:"font eot",svgfonts:"font svg",WebkitNativeMMLWarning:"Il tuo browser non sembra supportare MathML nativamente, perci\u00F2 il passaggio ora all'output MathML potrebbe rendere illegibili le formule della pagina.",MSIENativeMMLWarning:"Internet Explorer richiede il plugin MathPlayer per processare output MathML.",OperaNativeMMLWarning:"Il supporto di Opera a MathML \u00E8 limitato, perci\u00F2 passando ora all'output MathML potrebbe succedere che alcune espressioni siano rese in modo scadente.",SafariNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",FirefoxNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",MSIESVGWarning:"SVG non \u00E8 implementato nelle versioni precedenti IE9 oppure quando si sta emulando IE8 o precedenti. Passando all'output SVG le formule non saranno visualizzate correttamente.",LoadURL:"Scaricamento traduzione da questo indirizzo:",BadURL:"L'indirizzo dovrebbe puntare a un file Javascript con una traduzione di MathJax.  I nomi di file Javascript dovrebbero avere estensione '.js'",BadData:"Impossibile scaricare la traduzione da %1",SwitchAnyway:"Passare comunque a questo interprete?\n\n(Premi OK per cambiare, ANNULLA per continuare con la modalit\u00E1 corrente",ScaleMath:"Scala tutte le formule (comparate al testo circostante) del",NonZeroScale:"Il fattore di scala non deve essere zero",PercentScale:"Il fattore di scala deve essere in percentuale (es. 120%%)",IE8warning:"Questo disabiliter\u00E1 il menu di MathJax e la possibilit\u00E1 di zoom, puoi per\u00F2 accedere lo stesso al menu con Alt-Click su una formula.\n\nCambiare davvero le impostazioni di MathPlayer?",IE9warning:"Il menu contestuale di MathJax verr\u00E1 disabilitato, ma puoi sempre premere Alt-Click sopra una formula per accedervi comunque.",NoOriginalForm:"Modulo originale non disponibile",Close:"Chiudi",EqSource:"Codice sorgente formula MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathMenu.js");
+MathJax.Localization.addTranslation("it","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Mostra formula come",MathMLcode:"Codice MathML",OriginalMathML:"MathML originale",TeXCommands:"Comandi TeX",AsciiMathInput:"Input AsciiMathML",Original:"Modulo originale",ErrorMessage:"Messaggio d'errore",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Aggiungi suggerimenti Tex a MathML",Settings:"Impostazioni formule",ZoomTrigger:"Attivazione zoom",Hover:"Sopra",Click:"Click",DoubleClick:"Doppio-Click",NoZoom:"Niente zoom",TriggerRequires:"L'attivazione richiede:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Fattore di zoom",Renderer:"Processore per le formule",MPHandles:"Affida a MathPlayer",MenuEvents:"Eventi menu",MouseEvents:"Eventi mouse",MenuAndMouse:"Eventi mouse e menu",FontPrefs:"Preferenze font",ForHTMLCSS:"Per HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (locale)",TeXWeb:"TeX (web)",TeXImage:"TeX (immagini)",STIXLocal:"STIX (locale)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu contestuale",Browser:"Browser",Scale:"Scala tutte le formule...",Discoverable:"Evidenzia al passaggio",Locale:"Lingua",LoadLocale:"Scarica dall'URL ...",About:"Informazioni su MathJax",Help:"Aiuto di MathJax",localTeXfonts:"usare font TeX locale",webTeXfonts:"usare font Tex dal web",imagefonts:"usare font immagine",localSTIXfonts:"usare font STIX locale",webSVGfonts:"usare font SVG dal web",genericfonts:"usare generici font unicode",wofforotffonts:"font woff oppure otf",eotffonts:"font eot",svgfonts:"font svg",WebkitNativeMMLWarning:"Il tuo browser non sembra supportare MathML nativamente, perci\u00F2 il passaggio ora all'output MathML potrebbe rendere illegibili le formule della pagina.",MSIENativeMMLWarning:"Internet Explorer richiede il plugin MathPlayer per processare output MathML.",OperaNativeMMLWarning:"Il supporto di Opera a MathML \u00E8 limitato, perci\u00F2 passando ora all'output MathML potrebbe succedere che alcune espressioni siano rese in modo scadente.",SafariNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",FirefoxNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",MSIESVGWarning:"SVG non \u00E8 implementato nelle versioni precedenti IE9 oppure quando si sta emulando IE8 o precedenti. Passando all'output SVG le formule non saranno visualizzate correttamente.",LoadURL:"Scaricamento traduzione da questo indirizzo:",BadURL:"L'indirizzo dovrebbe puntare a un file Javascript con una traduzione di MathJax.  I nomi di file Javascript dovrebbero avere estensione '.js'",BadData:"Impossibile scaricare la traduzione da %1",SwitchAnyway:"Passare comunque a questo interprete?\n\n(Premi OK per cambiare, ANNULLA per continuare con la modalit\u00E1 corrente",ScaleMath:"Scala tutte le formule (comparate al testo circostante) del",NonZeroScale:"Il fattore di scala non deve essere zero",PercentScale:"Il fattore di scala deve essere in percentuale (es. 120%%)",IE8warning:"Questo disabiliter\u00E1 il menu di MathJax e la possibilit\u00E1 di zoom, puoi per\u00F2 accedere lo stesso al menu con Alt-Click su una formula.\n\nCambiare davvero le impostazioni di MathPlayer?",IE9warning:"Il menu contestuale di MathJax verr\u00E1 disabilitato, ma puoi sempre premere Alt-Click sopra una formula per accedervi comunque.",NoOriginalForm:"Modulo originale non disponibile",Close:"Chiudi",EqSource:"Codice sorgente formula MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathMenu.js");
diff --git a/localization/it/TeX.js b/localization/it/TeX.js
index 96c0ea6e0..97df4c1ea 100644
--- a/localization/it/TeX.js
+++ b/localization/it/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Graffa d'apertura in pi\u00F9 o di chiusura mancante",ExtraCloseMissingOpen:"Graffa di chiusura in pi\u00F9 o d'apertura mancante",MissingLeftExtraRight:"Comando \\left mancante oppure \\right extra",MissingScript:"Argomento per l'esponente o per l'indice mancante",ExtraLeftMissingRight:"Comando \\left extra oppure \\right mancante",Misplaced:"%1 mal posizionato",MissingOpenForSub:"Graffa d'apertura per l'indice mancante",MissingOpenForSup:"Graffa d'apertura per l'esponente mancante",AmbiguousUseOf:"Uso ambiguo di %1",EnvBadEnd:"\\begin{%1} terminato con \\end{%2}",EnvMissingEnd:"\\end{%1} mancante",MissingBoxFor:"Box per %1 mancante",MissingCloseBrace:"Graffa di chiusura mancante",UndefinedControlSequence:"Sequenza di controllo %1 indefinita",DoubleExponent:"Esponente doppio: usa le parentesi per distinguerli",DoubleSubscripts:"Doppio indice: usa le parentesi per distinguerli",DoubleExponentPrime:"Simbolo di primo visto come secondo esponente: usa le parentesi per chiarire",CantUseHash1:"Non puoi usare il carattere # come parametro delle macro in modalit\u00E1 matematica",MisplacedMiddle:"%1 deve trovarsi tra \\left e \\right",MisplacedLimits:"%1 \u00E8 consentito solo con operatori",MisplacedMoveRoot:"%1 pu\u00F2 appare solo sotto radice",MultipleCommand:"%1 multipli",IntegerArg:"L'argomento di %1 deve essere un intero",NotMathMLToken:"%1 non \u00E8 un token",InvalidMathMLAttr:"Attributo MathML non valido: %1",UnknownAttrForElement:"%1 non \u00E8 un attributo riconosciuto per %2",MaxMacroSub1:"Numero massimo per le sostituzioni di macro superato da MathJax; forse una chiamata di macro ricorsiva?",MaxMacroSub2:"Numero massimo per le sostituzioni superato da MathJax; forse un'ambiente LaTeX ricorsivo?",MissingArgFor:"Argomento di %1 mancante",ExtraAlignTab:"Tabulazione d'allineamento extra nel testo di \\cases",BracketMustBeDimension:"L'argomento tra parentesi per %1 deve essere una dimensione",InvalidEnv:"Nome d'ambiente non valido '%1'",UnknownEnv:"Ambiente sconosciuto '%1'",ExtraCloseLooking:"Graffa di chiusura extra durante la ricerca di %1",MissingCloseBracket:"Parentesi ] per l'argomento di %1 non trovata",MissingOrUnrecognizedDelim:"Delimitatore per %1 mancante o non riconosciuto",MissingDimOrUnits:"Dimensione o sue unit\u00E1 mancanti per %1",TokenNotFoundForCommand:"Impossibile trovare %1 per %2",MathNotTerminated:"Formula non terminata in box di testo",IllegalMacroParam:"Riferimento a un parametro di macro illegale",MaxBufferSize:"Dimensione del buffer interno di MathJax superato; chiamata di macro ricorsiva?",CommandNotAllowedInEnv:"%1 non \u00E8 consentito nell'ambiente %2",MultipleLabel:"Etichetta '%1' definita pi\u00F9 volte",CommandAtTheBeginingOfLine:"%1 deve trovarsi all'inizio della riga",IllegalAlign:"Allineamento specificato in %1 illegale",BadMathStyleFor:"Stile math inadatto a %1",PositiveIntegerArg:"L'argomento di %1 deve essere un intero positivo",ErroneousNestingEq:"Annidamento di strutture di equazioni errato",MultlineRowsOneCol:"Le righe nell'ambiente %1 devono avere esattamente una colonna",MultipleBBoxProperty:"%1 specificato due volte in %2",InvalidBBoxProperty:"'%1' non sembra un colore, una spaziatura o uno stile",ExtraEndMissingBegin:"%1 extra oppure \\begingroup mancante",GlobalNotFollowedBy:"%1 non seguito da \\let, \\def o \\newcommand",UndefinedColorModel:"Modello colore '%1' non definito",ModelArg1:"I valori di colore per il modello %1 richiedono tre numeri",InvalidDecimalNumber:"Numero decimale non valido",ModelArg2:"I valori di colore per il modello %1 devono essere compresi tra %2 e %3",InvalidNumber:"Numero non valido",NewextarrowArg1:"Il primo argomento di %1 deve essere il nome di una sequenza di controllo",NewextarrowArg2:"Il secondo argomento di %1 devono essere due numeri separati da una virgola",NewextarrowArg3:"Il terzo argomento di %1 deve essere un codice di un carattere unicode",NoClosingChar:"Impossibile trovare la parentesi di chiusura %1",IllegalControlSequenceName:"Nome sequenza di controllo illegale per %1",IllegalParamNumber:"Numero di parametri specificato in %1 illegale",MissingCS:"%1 deve essere seguito da una sequenza di controllo",CantUseHash2:"Uso di # non consentito nel modello di %1",SequentialParam:"I parametri per %1 devono essere numerati consecutivamente",MissingReplacementString:"Stringa di sostituzione per la definizione di %1 mancante",MismatchUseDef:"L'uso di %1 non combacia con la sua definizione",RunawayArgument:"Perso un argomento per %1?",NoClosingDelim:"Impossibile trovare delimitatore di chiusura per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/TeX.js");
+MathJax.Localization.addTranslation("it","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Graffa d'apertura in pi\u00F9 o di chiusura mancante",ExtraCloseMissingOpen:"Graffa di chiusura in pi\u00F9 o d'apertura mancante",MissingLeftExtraRight:"Comando \\left mancante oppure \\right extra",MissingScript:"Argomento per l'esponente o per l'indice mancante",ExtraLeftMissingRight:"Comando \\left extra oppure \\right mancante",Misplaced:"%1 mal posizionato",MissingOpenForSub:"Graffa d'apertura per l'indice mancante",MissingOpenForSup:"Graffa d'apertura per l'esponente mancante",AmbiguousUseOf:"Uso ambiguo di %1",EnvBadEnd:"\\begin{%1} terminato con \\end{%2}",EnvMissingEnd:"\\end{%1} mancante",MissingBoxFor:"Box per %1 mancante",MissingCloseBrace:"Graffa di chiusura mancante",UndefinedControlSequence:"Sequenza di controllo %1 indefinita",DoubleExponent:"Esponente doppio: usa le parentesi per distinguerli",DoubleSubscripts:"Doppio indice: usa le parentesi per distinguerli",DoubleExponentPrime:"Simbolo di primo visto come secondo esponente: usa le parentesi per chiarire",CantUseHash1:"Non puoi usare il carattere # come parametro delle macro in modalit\u00E1 matematica",MisplacedMiddle:"%1 deve trovarsi tra \\left e \\right",MisplacedLimits:"%1 \u00E8 consentito solo con operatori",MisplacedMoveRoot:"%1 pu\u00F2 appare solo sotto radice",MultipleCommand:"%1 multipli",IntegerArg:"L'argomento di %1 deve essere un intero",NotMathMLToken:"%1 non \u00E8 un token",InvalidMathMLAttr:"Attributo MathML non valido: %1",UnknownAttrForElement:"%1 non \u00E8 un attributo riconosciuto per %2",MaxMacroSub1:"Numero massimo per le sostituzioni di macro superato da MathJax; forse una chiamata di macro ricorsiva?",MaxMacroSub2:"Numero massimo per le sostituzioni superato da MathJax; forse un'ambiente LaTeX ricorsivo?",MissingArgFor:"Argomento di %1 mancante",ExtraAlignTab:"Tabulazione d'allineamento extra nel testo di \\cases",BracketMustBeDimension:"L'argomento tra parentesi per %1 deve essere una dimensione",InvalidEnv:"Nome d'ambiente non valido '%1'",UnknownEnv:"Ambiente sconosciuto '%1'",ExtraCloseLooking:"Graffa di chiusura extra durante la ricerca di %1",MissingCloseBracket:"Parentesi ] per l'argomento di %1 non trovata",MissingOrUnrecognizedDelim:"Delimitatore per %1 mancante o non riconosciuto",MissingDimOrUnits:"Dimensione o sue unit\u00E1 mancanti per %1",TokenNotFoundForCommand:"Impossibile trovare %1 per %2",MathNotTerminated:"Formula non terminata in box di testo",IllegalMacroParam:"Riferimento a un parametro di macro illegale",MaxBufferSize:"Dimensione del buffer interno di MathJax superato; chiamata di macro ricorsiva?",CommandNotAllowedInEnv:"%1 non \u00E8 consentito nell'ambiente %2",MultipleLabel:"Etichetta '%1' definita pi\u00F9 volte",CommandAtTheBeginingOfLine:"%1 deve trovarsi all'inizio della riga",IllegalAlign:"Allineamento specificato in %1 illegale",BadMathStyleFor:"Stile math inadatto a %1",PositiveIntegerArg:"L'argomento di %1 deve essere un intero positivo",ErroneousNestingEq:"Annidamento di strutture di equazioni errato",MultlineRowsOneCol:"Le righe nell'ambiente %1 devono avere esattamente una colonna",MultipleBBoxProperty:"%1 specificato due volte in %2",InvalidBBoxProperty:"'%1' non sembra un colore, una spaziatura o uno stile",ExtraEndMissingBegin:"%1 extra oppure \\begingroup mancante",GlobalNotFollowedBy:"%1 non seguito da \\let, \\def o \\newcommand",UndefinedColorModel:"Modello colore '%1' non definito",ModelArg1:"I valori di colore per il modello %1 richiedono tre numeri",InvalidDecimalNumber:"Numero decimale non valido",ModelArg2:"I valori di colore per il modello %1 devono essere compresi tra %2 e %3",InvalidNumber:"Numero non valido",NewextarrowArg1:"Il primo argomento di %1 deve essere il nome di una sequenza di controllo",NewextarrowArg2:"Il secondo argomento di %1 devono essere due numeri separati da una virgola",NewextarrowArg3:"Il terzo argomento di %1 deve essere un codice di un carattere unicode",NoClosingChar:"Impossibile trovare la parentesi di chiusura %1",IllegalControlSequenceName:"Nome sequenza di controllo illegale per %1",IllegalParamNumber:"Numero di parametri specificato in %1 illegale",MissingCS:"%1 deve essere seguito da una sequenza di controllo",CantUseHash2:"Uso di # non consentito nel modello di %1",SequentialParam:"I parametri per %1 devono essere numerati consecutivamente",MissingReplacementString:"Stringa di sostituzione per la definizione di %1 mancante",MismatchUseDef:"L'uso di %1 non combacia con la sua definizione",RunawayArgument:"Perso un argomento per %1?",NoClosingDelim:"Impossibile trovare delimitatore di chiusura per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/TeX.js");
diff --git a/localization/it/it.js b/localization/it/it.js
index a3b2f472f..6209eb1e5 100644
--- a/localization/it/it.js
+++ b/localization/it/it.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it",null,{menuTitle:"italiano",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax ha trovato un cookie di configurazione utente che include del codice eseguibile. Vuoi eseguirlo?\n\n(Premi Annulla a meno che non l'abbia effettivamente impostato tu.)",MathProcessingError:"Errore elaborazione della formula",MathError:"Errore nella formula",LoadFile:"Caricamento %1",Loading:"Caricamento",LoadFailed:"Caricamento del file fallito: %1",ProcessMath:"Elaborazione formula: %1%%",Processing:"Elaborazione in corso",TypesetMath:"Composizione della formula: %1%%",Typesetting:"Composizione",MathJaxNotSupported:"Il tuo browser non supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/it.js");
+MathJax.Localization.addTranslation("it",null,{menuTitle:"italiano",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax ha trovato un cookie di configurazione utente che include del codice eseguibile. Vuoi eseguirlo?\n\n(Premi Annulla a meno che non l'abbia effettivamente impostato tu.)",MathProcessingError:"Errore elaborazione della formula",MathError:"Errore nella formula",LoadFile:"Caricamento %1",Loading:"Caricamento",LoadFailed:"Caricamento del file fallito: %1",ProcessMath:"Elaborazione formula: %1%%",Processing:"Elaborazione in corso",TypesetMath:"Composizione della formula: %1%%",Typesetting:"Composizione",MathJaxNotSupported:"Il tuo browser non supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/it.js");
diff --git a/localization/ja/FontWarnings.js b/localization/ja/FontWarnings.js
index b57833160..6c98fa30f 100644
--- a/localization/ja/FontWarnings.js
+++ b/localization/ja/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","FontWarnings",{version:"2.3",isLoaded:true,strings:{imageFonts:"MathJax \u306F\u30ED\u30FC\u30AB\u30EB \u30D5\u30A9\u30F3\u30C8\u3084 Web \u30D5\u30A9\u30F3\u30C8\u3067\u306F\u306A\u304F\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u63CF\u753B\u304C\u901A\u5E38\u3088\u308A\u9045\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u3001\u30D7\u30EA\u30F3\u30BF\u30FC\u3067\u306E\u9AD8\u89E3\u50CF\u5EA6\u306E\u5370\u5237\u306B\u5411\u304B\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",fonts:"MathJax \u3067\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3084 [MathJax Tex \u30D5\u30A9\u30F3\u30C8](%2)\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",STIXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",TeXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [MathJax TeX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",webFont:"MathJax \u306F\u3053\u306E\u30DA\u30FC\u30B8\u3067\u3001\u6570\u5F0F\u3092\u8868\u793A\u3059\u308B\u305F\u3081\u306B\u30A6\u30A7\u30D6 \u30D9\u30FC\u30B9\u306E\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u30D5\u30A9\u30F3\u30C8\u306E\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u306B\u6642\u9593\u304C\u304B\u304B\u308B\u305F\u3081\u3001\u3042\u306A\u305F\u306E\u30B7\u30B9\u30C6\u30E0\u306E\u30D5\u30A9\u30F3\u30C8 \u30D5\u30A9\u30EB\u30C0\u30FC\u306B\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u3092\u76F4\u63A5\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u30DA\u30FC\u30B8\u306E\u30EC\u30F3\u30C0\u30EA\u30F3\u30B0\u304C\u3088\u308A\u901F\u304F\u306A\u308A\u307E\u3059\u3002",noFonts:"MathJax \u304C\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30D5\u30A9\u30F3\u30C8\u3092\u898B\u3064\u3051\u3089\u308C\u305A\u3001\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3082\u5229\u7528\u3067\u304D\u306A\u3044\u305F\u3081\u3001\u4EE3\u308F\u308A\u306B\u6C4E\u7528\u306E Unicode \u6587\u5B57\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u304C\u8868\u793A\u3067\u304D\u308B\u3082\u306E\u3068\u671F\u5F85\u3057\u3066\u3044\u307E\u3059\u304C\u3001\u4E00\u90E8\u306E\u6587\u5B57\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u3044\u3001\u307E\u305F\u306F\u5168\u304F\u8868\u793A\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",webFonts:"\u591A\u304F\u306E\u30A6\u30A7\u30D6 \u30D6\u30E9\u30A6\u30B6\u30FC\u306F\u30A6\u30A7\u30D6\u304B\u3089\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u3067\u304D\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u3088\u308A\u65B0\u3057\u3044\u30D0\u30FC\u30B8\u30E7\u30F3\u306B\u66F4\u65B0\u3059\u308B (\u307E\u305F\u306F\u5225\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306B\u5909\u66F4\u3059\u308B) \u3053\u3068\u3067\u3001\u3053\u306E\u30DA\u30FC\u30B8\u306E\u6570\u5F0F\u306E\u54C1\u8CEA\u304C\u5411\u4E0A\u3059\u308B\u53EF\u80FD\u6027\u304C\u3042\u308A\u307E\u3059\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/FontWarnings.js");
+MathJax.Localization.addTranslation("ja","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax \u306F\u3053\u306E\u30DA\u30FC\u30B8\u3067\u3001\u6570\u5F0F\u3092\u8868\u793A\u3059\u308B\u305F\u3081\u306B\u30A6\u30A7\u30D6 \u30D9\u30FC\u30B9\u306E\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u30D5\u30A9\u30F3\u30C8\u306E\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u306B\u6642\u9593\u304C\u304B\u304B\u308B\u305F\u3081\u3001\u3042\u306A\u305F\u306E\u30B7\u30B9\u30C6\u30E0\u306E\u30D5\u30A9\u30F3\u30C8 \u30D5\u30A9\u30EB\u30C0\u30FC\u306B\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u3092\u76F4\u63A5\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u30DA\u30FC\u30B8\u306E\u30EC\u30F3\u30C0\u30EA\u30F3\u30B0\u304C\u3088\u308A\u901F\u304F\u306A\u308A\u307E\u3059\u3002",imageFonts:"MathJax \u306F\u30ED\u30FC\u30AB\u30EB \u30D5\u30A9\u30F3\u30C8\u3084 Web \u30D5\u30A9\u30F3\u30C8\u3067\u306F\u306A\u304F\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u63CF\u753B\u304C\u901A\u5E38\u3088\u308A\u9045\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u3001\u30D7\u30EA\u30F3\u30BF\u30FC\u3067\u306E\u9AD8\u89E3\u50CF\u5EA6\u306E\u5370\u5237\u306B\u5411\u304B\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",noFonts:"MathJax \u304C\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30D5\u30A9\u30F3\u30C8\u3092\u898B\u3064\u3051\u3089\u308C\u305A\u3001\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3082\u5229\u7528\u3067\u304D\u306A\u3044\u305F\u3081\u3001\u4EE3\u308F\u308A\u306B\u6C4E\u7528\u306E Unicode \u6587\u5B57\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u304C\u8868\u793A\u3067\u304D\u308B\u3082\u306E\u3068\u671F\u5F85\u3057\u3066\u3044\u307E\u3059\u304C\u3001\u4E00\u90E8\u306E\u6587\u5B57\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u3044\u3001\u307E\u305F\u306F\u5168\u304F\u8868\u793A\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",webFonts:"\u591A\u304F\u306E\u30A6\u30A7\u30D6 \u30D6\u30E9\u30A6\u30B6\u30FC\u306F\u30A6\u30A7\u30D6\u304B\u3089\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u3067\u304D\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u3088\u308A\u65B0\u3057\u3044\u30D0\u30FC\u30B8\u30E7\u30F3\u306B\u66F4\u65B0\u3059\u308B (\u307E\u305F\u306F\u5225\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306B\u5909\u66F4\u3059\u308B) \u3053\u3068\u3067\u3001\u3053\u306E\u30DA\u30FC\u30B8\u306E\u6570\u5F0F\u306E\u54C1\u8CEA\u304C\u5411\u4E0A\u3059\u308B\u53EF\u80FD\u6027\u304C\u3042\u308A\u307E\u3059\u3002",fonts:"MathJax \u3067\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3084 [MathJax Tex \u30D5\u30A9\u30F3\u30C8](%2)\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",STIXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",TeXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [MathJax TeX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/FontWarnings.js");
diff --git a/localization/ja/HTML-CSS.js b/localization/ja/HTML-CSS.js
index 1455228b1..6e3ad0792 100644
--- a/localization/ja/HTML-CSS.js
+++ b/localization/ja/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",CantLoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",FirefoxCantLoadWebFont:"Firefox \u306F\u3001\u30EA\u30E2\u30FC\u30C8 \u30DB\u30B9\u30C8\u306E Web \u30D5\u30A9\u30F3\u30C8\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",CantFindFontUsing:"%1 \u3067\u6709\u52B9\u306A\u30D5\u30A9\u30F3\u30C8\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",WebFontsNotAvailable:"Web \u30D5\u30A9\u30F3\u30C8\u3092\u5229\u7528\u3067\u304D\u307E\u305B\u3093\u3002\u4EE3\u308F\u308A\u306B\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HTML-CSS.js");
+MathJax.Localization.addTranslation("ja","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",CantLoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",FirefoxCantLoadWebFont:"Firefox \u306F\u3001\u30EA\u30E2\u30FC\u30C8 \u30DB\u30B9\u30C8\u306E Web \u30D5\u30A9\u30F3\u30C8\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",CantFindFontUsing:"%1 \u3067\u6709\u52B9\u306A\u30D5\u30A9\u30F3\u30C8\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",WebFontsNotAvailable:"Web \u30D5\u30A9\u30F3\u30C8\u3092\u5229\u7528\u3067\u304D\u307E\u305B\u3093\u3002\u4EE3\u308F\u308A\u306B\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HTML-CSS.js");
diff --git a/localization/ja/HelpDialog.js b/localization/ja/HelpDialog.js
index 4796aff75..7a7e45140 100644
--- a/localization/ja/HelpDialog.js
+++ b/localization/ja/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"MathJax \u30D8\u30EB\u30D7",MathJax:"*MathJax* \u306F\u30A6\u30A7\u30D6 \u30DA\u30FC\u30B8\u306E\u88FD\u4F5C\u8005\u304C\u30DA\u30FC\u30B8\u306B\u6570\u5F0F\u3092\u57CB\u3081\u8FBC\u3081\u308B\u3088\u3046\u306B\u3059\u308B JavaScript \u30E9\u30A4\u30D6\u30E9\u30EA\u3067\u3059\u3002\u95B2\u89A7\u8005\u5074\u3067\u306F\u6570\u5F0F\u3092\u95B2\u89A7\u3059\u308B\u306E\u306B\u4F55\u3082\u5FC5\u8981\u3068\u3057\u307E\u305B\u3093\u3002",Browsers:"*\u30D6\u30E9\u30A6\u30B6\u30FC*: MathJax \u306F\u3001IE6 \u4EE5\u964D\u3001Chrome 0.2 \u4EE5\u964D\u3001Safari 2 \u4EE5\u964D\u3001Opera 9.6 \u4EE5\u964D\u3001\u307B\u3068\u3093\u3069\u306E\u30E2\u30D0\u30A4\u30EB \u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u542B\u3080\u3001\u30E2\u30C0\u30F3 \u30D6\u30E9\u30A6\u30B6\u30FC\u3067\u52D5\u4F5C\u3057\u307E\u3059\u3002",Menu:"*\u6570\u5F0F\u30E1\u30CB\u30E5\u30FC*: MathJax \u306F\u6570\u5F0F\u306B\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u3092\u8FFD\u52A0\u3057\u307E\u3059\u3002\u4EFB\u610F\u306E\u6570\u5F0F\u3092\u53F3\u30AF\u30EA\u30C3\u30AF\u307E\u305F\u306F Ctrl+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068\u30E1\u30CB\u30E5\u30FC\u304C\u958B\u304D\u307E\u3059\u3002",ShowMath:"*\u6570\u5F0F\u3092\u8868\u793A*\u3067\u306F\u3001\u6570\u5F0F\u306E\u30BD\u30FC\u30B9 \u30DE\u30FC\u30AF\u30A2\u30C3\u30D7\u3092\u8868\u793A\u3057\u3066\u30B3\u30D4\u30FC \u0026 \u30DA\u30FC\u30B9\u30C8\u3067\u304D\u307E\u3059 (MathML \u3084\u5143\u306E\u5F62\u5F0F\u3067)\u3002",Settings:"*\u8A2D\u5B9A*\u3067\u306F\u3001MathJax \u306E\u6A5F\u80FD\u3092\u5236\u5FA1\u3067\u304D\u307E\u3059\u3002\u6570\u5F0F\u306E\u30B5\u30A4\u30BA\u3001\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30E1\u30AB\u30CB\u30BA\u30E0\u306A\u3069\u3002",Language:"*\u8A00\u8A9E*\u3067\u306F\u3001MathJax \u304C\u30E1\u30CB\u30E5\u30FC\u3084\u8B66\u544A\u30E1\u30C3\u30BB\u30FC\u30B8\u306B\u4F7F\u7528\u3059\u308B\u8A00\u8A9E\u3092\u9078\u629E\u3067\u304D\u307E\u3059\u3002",Zoom:"*\u6570\u5F0F\u306E\u30BA\u30FC\u30E0*: \u6570\u5F0F\u3092\u8AAD\u307F\u53D6\u308B\u306E\u304C\u56F0\u96E3\u306A\u5834\u5408\u306F\u3001MathJax \u304C\u62E1\u5927\u3057\u3066\u8AAD\u307F\u3084\u3059\u304F\u3067\u304D\u307E\u3059\u3002",Accessibilty:"*\u30A2\u30AF\u30BB\u30B7\u30D3\u30EA\u30C6\u30A3*: MathJax \u306F\u81EA\u52D5\u7684\u306B\u30C6\u30AD\u30B9\u30C8 \u30EA\u30FC\u30C0\u30FC\u3067\u6570\u5F0F\u306B\u30A2\u30AF\u30BB\u30B9\u3067\u304D\u308B\u3088\u3046\u306B\u3057\u307E\u3059 (\u8996\u899A\u969C\u5BB3\u8005\u5411\u3051)\u3002",Fonts:"*\u30D5\u30A9\u30F3\u30C8*: MathJax \u306F\u3001\u7279\u5B9A\u306E\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u304C\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u308B\u5834\u5408\u306F\u305D\u308C\u3092\u4F7F\u7528\u3057\u3001\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u306A\u3044\u5834\u5408\u306F Web \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059\u3002\u5FC5\u9808\u3067\u306F\u3042\u308A\u307E\u305B\u3093\u304C\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30ED\u30FC\u30AB\u30EB\u306B\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u7D44\u7248\u304C\u9AD8\u901F\u5316\u3055\u308C\u307E\u3059\u3002[STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3092\u304A\u52E7\u3081\u3057\u307E\u3059\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HelpDialog.js");
+MathJax.Localization.addTranslation("ja","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"MathJax \u30D8\u30EB\u30D7",MathJax:"*MathJax* \u306F\u30A6\u30A7\u30D6 \u30DA\u30FC\u30B8\u306E\u88FD\u4F5C\u8005\u304C\u30DA\u30FC\u30B8\u306B\u6570\u5F0F\u3092\u57CB\u3081\u8FBC\u3081\u308B\u3088\u3046\u306B\u3059\u308B JavaScript \u30E9\u30A4\u30D6\u30E9\u30EA\u3067\u3059\u3002\u95B2\u89A7\u8005\u5074\u3067\u306F\u6570\u5F0F\u3092\u95B2\u89A7\u3059\u308B\u306E\u306B\u4F55\u3082\u5FC5\u8981\u3068\u3057\u307E\u305B\u3093\u3002",Browsers:"*\u30D6\u30E9\u30A6\u30B6\u30FC*: MathJax \u306F\u3001IE6 \u4EE5\u964D\u3001Chrome 0.2 \u4EE5\u964D\u3001Safari 2 \u4EE5\u964D\u3001Opera 9.6 \u4EE5\u964D\u3001\u307B\u3068\u3093\u3069\u306E\u30E2\u30D0\u30A4\u30EB \u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u542B\u3080\u3001\u30E2\u30C0\u30F3 \u30D6\u30E9\u30A6\u30B6\u30FC\u3067\u52D5\u4F5C\u3057\u307E\u3059\u3002",Menu:"*\u6570\u5F0F\u30E1\u30CB\u30E5\u30FC*: MathJax \u306F\u6570\u5F0F\u306B\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u3092\u8FFD\u52A0\u3057\u307E\u3059\u3002\u4EFB\u610F\u306E\u6570\u5F0F\u3092\u53F3\u30AF\u30EA\u30C3\u30AF\u307E\u305F\u306F Ctrl+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068\u30E1\u30CB\u30E5\u30FC\u304C\u958B\u304D\u307E\u3059\u3002",ShowMath:"*\u6570\u5F0F\u3092\u8868\u793A*\u3067\u306F\u3001\u6570\u5F0F\u306E\u30BD\u30FC\u30B9 \u30DE\u30FC\u30AF\u30A2\u30C3\u30D7\u3092\u8868\u793A\u3057\u3066\u30B3\u30D4\u30FC \u0026 \u30DA\u30FC\u30B9\u30C8\u3067\u304D\u307E\u3059 (MathML \u3084\u5143\u306E\u5F62\u5F0F\u3067)\u3002",Settings:"*\u8A2D\u5B9A*\u3067\u306F\u3001MathJax \u306E\u6A5F\u80FD\u3092\u5236\u5FA1\u3067\u304D\u307E\u3059\u3002\u6570\u5F0F\u306E\u30B5\u30A4\u30BA\u3001\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30E1\u30AB\u30CB\u30BA\u30E0\u306A\u3069\u3002",Language:"*\u8A00\u8A9E*\u3067\u306F\u3001MathJax \u304C\u30E1\u30CB\u30E5\u30FC\u3084\u8B66\u544A\u30E1\u30C3\u30BB\u30FC\u30B8\u306B\u4F7F\u7528\u3059\u308B\u8A00\u8A9E\u3092\u9078\u629E\u3067\u304D\u307E\u3059\u3002",Zoom:"*\u6570\u5F0F\u306E\u30BA\u30FC\u30E0*: \u6570\u5F0F\u3092\u8AAD\u307F\u53D6\u308B\u306E\u304C\u56F0\u96E3\u306A\u5834\u5408\u306F\u3001MathJax \u304C\u62E1\u5927\u3057\u3066\u8AAD\u307F\u3084\u3059\u304F\u3067\u304D\u307E\u3059\u3002",Accessibilty:"*\u30A2\u30AF\u30BB\u30B7\u30D3\u30EA\u30C6\u30A3*: MathJax \u306F\u81EA\u52D5\u7684\u306B\u30C6\u30AD\u30B9\u30C8 \u30EA\u30FC\u30C0\u30FC\u3067\u6570\u5F0F\u306B\u30A2\u30AF\u30BB\u30B9\u3067\u304D\u308B\u3088\u3046\u306B\u3057\u307E\u3059 (\u8996\u899A\u969C\u5BB3\u8005\u5411\u3051)\u3002",Fonts:"*\u30D5\u30A9\u30F3\u30C8*: MathJax \u306F\u3001\u7279\u5B9A\u306E\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u304C\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u308B\u5834\u5408\u306F\u305D\u308C\u3092\u4F7F\u7528\u3057\u3001\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u306A\u3044\u5834\u5408\u306F Web \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059\u3002\u5FC5\u9808\u3067\u306F\u3042\u308A\u307E\u305B\u3093\u304C\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30ED\u30FC\u30AB\u30EB\u306B\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u7D44\u7248\u304C\u9AD8\u901F\u5316\u3055\u308C\u307E\u3059\u3002[STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3092\u304A\u52E7\u3081\u3057\u307E\u3059\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HelpDialog.js");
diff --git a/localization/ja/MathML.js b/localization/ja/MathML.js
index aa8eb81a4..7a773649a 100644
--- a/localization/ja/MathML.js
+++ b/localization/ja/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"\u8AA4\u3063\u305F mglyph: %1",BadMglyphFont:"\u8AA4\u3063\u305F\u30D5\u30A9\u30F3\u30C8: %1",UnknownNodeType:"\u4E0D\u660E\u306A\u7A2E\u985E\u306E\u30CE\u30FC\u30C9: %1",UnexpectedTextNode:"\u4E88\u671F\u3057\u306A\u3044\u30C6\u30AD\u30B9\u30C8 \u30CE\u30FC\u30C9: %1",ErrorParsingMathML:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC",ParsingError:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC: %1",MathMLSingleElement:"MathML \u306F\u5358\u4E00\u306E\u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044",MathMLRootElement:"MathML \u306F %1 \u3067\u306F\u306A\u304F \u003Cmath\u003E \u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044",MathPlayer:"MathJax \u306F MathPlayer \u3092\u8A2D\u5B9A\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\nMathPlayer \u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u3001\n\u307E\u305A\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002\n\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u308B\u5834\u5408\u306F\u3001\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3\u306E\u8A2D\u5B9A\u3067 ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C\u3092\u62D2\u5426\u3057\u3066\u3044\u308B\u5834\u5408\u304C\u3042\u308A\u307E\u3059\u3002\n[\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3067\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n[Active \u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C] \u3068 [\u30D0\u30A4\u30CA\u30EA \u30D3\u30D8\u30A4\u30D3\u30A2\u30FC\u3068\u30B9\u30AF\u30EA\u30D7\u30C8\n\u30D3\u30D8\u30A4\u30D3\u30A2\u30FC] \u304C\u6709\u52B9\u306B\u306A\u3063\u3066\u3044\u308B\u3053\u3068\u3092\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n\n\u73FE\u6642\u70B9\u3067\u306F\u3001\u6570\u5F0F\u304C\u7D44\u7248\u3055\u308C\u305A\u3001\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8\u304C\u8868\u793A\u3055\u308C\u307E\u3059\u3002",CantCreateXMLParser:"MathJax \u306F MathML \u7528\u306E XML \u30D1\u30FC\u30B5\u30FC\u3092\u4F5C\u6210\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\u300C\u30B9\u30AF\u30EA\u30D7\u30C8\u3092\u5B9F\u884C\u3057\u3066\u3082\u5B89\u5168\u3060\u3068\u30DE\u30FC\u30AF\u3055\u308C\u3066\u3044\u308B ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u30B9\u30AF\u30EA\u30D7\u30C8\u306E\u5B9F\u884C\u300D\u3092\u6709\u52B9\u306B\u3057\u3066\u3044\u308B\u304B\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\n([\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3092\u9078\u629E\u3057\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3067\u78BA\u8A8D\u3067\u304D\u307E\u3059)\u3002\n\nMathML \u306E\u6570\u5F0F\u3092 MathML \u304C\u51E6\u7406\u3067\u304D\u306A\u304F\u306A\u308A\u307E\u3059\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathML.js");
+MathJax.Localization.addTranslation("ja","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u8AA4\u3063\u305F mglyph: %1",BadMglyphFont:"\u8AA4\u3063\u305F\u30D5\u30A9\u30F3\u30C8: %1",MathPlayer:"MathJax \u306F MathPlayer \u3092\u8A2D\u5B9A\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\nMathPlayer \u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u3001\n\u307E\u305A\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002\n\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u308B\u5834\u5408\u306F\u3001\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3\u306E\u8A2D\u5B9A\u3067 ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C\u3092\u62D2\u5426\u3057\u3066\u3044\u308B\u5834\u5408\u304C\u3042\u308A\u307E\u3059\u3002\n[\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3067\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n[Active \u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C] \u3068 [\u30D0\u30A4\u30CA\u30EA \u30D3\u30D8\u30A4\u30D3\u30A2\u30FC\u3068\u30B9\u30AF\u30EA\u30D7\u30C8\n\u30D3\u30D8\u30A4\u30D3\u30A2\u30FC] \u304C\u6709\u52B9\u306B\u306A\u3063\u3066\u3044\u308B\u3053\u3068\u3092\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n\n\u73FE\u6642\u70B9\u3067\u306F\u3001\u6570\u5F0F\u304C\u7D44\u7248\u3055\u308C\u305A\u3001\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8\u304C\u8868\u793A\u3055\u308C\u307E\u3059\u3002",CantCreateXMLParser:"MathJax \u306F MathML \u7528\u306E XML \u30D1\u30FC\u30B5\u30FC\u3092\u4F5C\u6210\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\u300C\u30B9\u30AF\u30EA\u30D7\u30C8\u3092\u5B9F\u884C\u3057\u3066\u3082\u5B89\u5168\u3060\u3068\u30DE\u30FC\u30AF\u3055\u308C\u3066\u3044\u308B ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u30B9\u30AF\u30EA\u30D7\u30C8\u306E\u5B9F\u884C\u300D\u3092\u6709\u52B9\u306B\u3057\u3066\u3044\u308B\u304B\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\n([\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3092\u9078\u629E\u3057\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3067\u78BA\u8A8D\u3067\u304D\u307E\u3059)\u3002\n\nMathML \u306E\u6570\u5F0F\u3092 MathML \u304C\u51E6\u7406\u3067\u304D\u306A\u304F\u306A\u308A\u307E\u3059\u3002",UnknownNodeType:"\u4E0D\u660E\u306A\u7A2E\u985E\u306E\u30CE\u30FC\u30C9: %1",UnexpectedTextNode:"\u4E88\u671F\u3057\u306A\u3044\u30C6\u30AD\u30B9\u30C8 \u30CE\u30FC\u30C9: %1",ErrorParsingMathML:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC",ParsingError:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC: %1",MathMLSingleElement:"MathML \u306F\u5358\u4E00\u306E\u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044",MathMLRootElement:"MathML \u306F %1 \u3067\u306F\u306A\u304F \u003Cmath\u003E \u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathML.js");
diff --git a/localization/ja/MathMenu.js b/localization/ja/MathMenu.js
index 2211aec11..8d36f2d23 100644
--- a/localization/ja/MathMenu.js
+++ b/localization/ja/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"\u6570\u5F0F\u3092\u8868\u793A",MathMLcode:"MathML \u30B3\u30FC\u30C9",OriginalMathML:"\u5143\u306E MathML",TeXCommands:"TeX \u30B3\u30DE\u30F3\u30C9",AsciiMathInput:"AsciiMathML \u5165\u529B",Original:"\u5143\u306E\u5F62\u5F0F",ErrorMessage:"\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8",Annotation:"\u6CE8\u91C8",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML \u3067 TeX \u306E\u30D2\u30F3\u30C8\u3092\u8868\u793A",Settings:"\u6570\u5F0F\u306E\u8A2D\u5B9A",ZoomTrigger:"\u30BA\u30FC\u30E0\u306E\u30C8\u30EA\u30AC\u30FC",Hover:"\u30DB\u30D0\u30FC",Click:"\u30AF\u30EA\u30C3\u30AF",DoubleClick:"\u30C0\u30D6\u30EB\u30AF\u30EA\u30C3\u30AF",NoZoom:"\u30BA\u30FC\u30E0\u306A\u3057",TriggerRequires:"\u5FC5\u8981\u306A\u30AD\u30FC:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u30BA\u30FC\u30E0\u306E\u500D\u7387",Renderer:"\u6570\u5F0F\u30EC\u30F3\u30C0\u30E9\u30FC",MPHandles:"\u6570\u5F0F\u30D7\u30EC\u30FC\u30E4\u30FC\u306B\u51E6\u7406\u3055\u305B\u308B\u30A4\u30D9\u30F3\u30C8:",MenuEvents:"\u30E1\u30CB\u30E5\u30FC \u30A4\u30D9\u30F3\u30C8",MouseEvents:"\u30DE\u30A6\u30B9 \u30A4\u30D9\u30F3\u30C8",MenuAndMouse:"\u30DE\u30A6\u30B9\u3068\u30E1\u30CB\u30E5\u30FC\u306E\u30A4\u30D9\u30F3\u30C8",FontPrefs:"\u30D5\u30A9\u30F3\u30C8\u306E\u8A2D\u5B9A",ForHTMLCSS:"HTML-CSS:",Auto:"\u81EA\u52D5",TeXLocal:"TeX (\u30ED\u30FC\u30AB\u30EB)",TeXWeb:"TeX (Web)",TeXImage:"TeX (\u753B\u50CF)",STIXLocal:"STIX (\u30ED\u30FC\u30AB\u30EB)",ContextMenu:"\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC",Browser:"\u30D6\u30E9\u30A6\u30B6\u30FC",Scale:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387\u3092\u5909\u66F4...",Discoverable:"\u30DB\u30D0\u30FC\u6642\u306B\u5F37\u8ABF",Locale:"\u8A00\u8A9E",LoadLocale:"URL \u304B\u3089\u8AAD\u307F\u8FBC\u3080...",About:"MathJax \u306B\u3064\u3044\u3066",Help:"MathJax \u30D8\u30EB\u30D7",localTeXfonts:"\u30ED\u30FC\u30AB\u30EB TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webTeXfonts:"Web TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",imagefonts:"\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",localSTIXfonts:"\u30ED\u30FC\u30AB\u30EB STIX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webSVGfonts:"Web SVG \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",genericfonts:"\u6C4E\u7528 Unicode \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",wofforotffonts:"WOFF \u30D5\u30A9\u30F3\u30C8\u307E\u305F\u306F OTF \u30D5\u30A9\u30F3\u30C8",eotffonts:"EOT \u30D5\u30A9\u30F3\u30C8",svgfonts:"SVG \u30D5\u30A9\u30F3\u30C8",LoadURL:"\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3080 URL:",BadURL:"MathJax \u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u5B9A\u7FA9\u3059\u308B JavaScript \u30D5\u30A1\u30A4\u30EB\u306E URL \u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u3001JavaScript \u306E\u30D5\u30A1\u30A4\u30EB\u540D\u306E\u672B\u5C3E\u306F\u300C.js\u300D\u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002",BadData:"%1 \u304B\u3089\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F",SwitchAnyway:"\u30EC\u30F3\u30C0\u30E9\u30FC\u3092\u672C\u5F53\u306B\u5207\u308A\u66FF\u3048\u307E\u3059\u304B?\n\n(\u5207\u308A\u66FF\u3048\u308B\u306B\u306F OK \u3092\u3001\u73FE\u5728\u306E\u30EC\u30F3\u30C0\u30E9\u30FC\u306E\u307E\u307E\u306B\u3059\u308B\u306B\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044)",ScaleMath:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387 (\u5468\u56F2\u306E\u30C6\u30AD\u30B9\u30C8\u3068\u306E\u6BD4)",NonZeroScale:"\u500D\u7387\u306B 0 \u306F\u6307\u5B9A\u3067\u304D\u307E\u305B\u3093",PercentScale:"\u500D\u7387\u306F\u767E\u5206\u7387\u3067\u306A\u3051\u308C\u3070\u306A\u308A\u307E\u305B\u3093 (\u4F8B: 120%%)",IE8warning:"MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3068\u30BA\u30FC\u30E0\u6A5F\u80FD\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002\n\nMathPlayer \u306E\u8A2D\u5B9A\u3092\u672C\u5F53\u306B\u5909\u66F4\u3057\u307E\u3059\u304B?",IE9warning:"MathJax \u306E\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002",Close:"\u9589\u3058\u308B",EqSource:"MathJax \u6570\u5F0F\u306E\u30BD\u30FC\u30B9",WebkitNativeMMLWarning:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathML \u306B\u30CD\u30A4\u30C6\u30A3\u30D6\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u3068\u601D\u308F\u308C\u308B\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u30DA\u30FC\u30B8\u5185\u306E\u6570\u5F0F\u304C\u5224\u8AAD\u4E0D\u80FD\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIENativeMMLWarning:"Internet Explorer \u3067\u306F\u3001MathML \u51FA\u529B\u3092\u51E6\u7406\u3059\u308B\u305F\u3081\u306B MathPlayer \u30D7\u30E9\u30B0\u30A4\u30F3\u304C\u5FC5\u8981\u3067\u3059\u3002",OperaNativeMMLWarning:"Opera \u306F MathML \u306B\u5B8C\u5168\u306B\u306F\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u6570\u5F0F\u306E\u63CF\u753B\u304C\u4E0D\u5B8C\u5168\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",SafariNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",FirefoxNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIESVGWarning:"IE9 \u3088\u308A\u524D\u306E\u30D0\u30FC\u30B8\u30E7\u30F3\u306E\u5834\u5408\u3001\u307E\u305F\u306F IE8 \u4EE5\u524D\u3092\u30A8\u30DF\u30E5\u30EC\u30FC\u30C8\u3057\u3066\u3044\u308B\u5834\u5408\u3001Internet Explorer \u306B\u306F SVG \u304C\u5B9F\u88C5\u3055\u308C\u3066\u3044\u307E\u305B\u3093\u3002SVG \u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u3001\u6570\u5F0F\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u304F\u306A\u308A\u307E\u3059\u3002",NoOriginalForm:"\u5143\u306E\u5F62\u5F0F\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathMenu.js");
+MathJax.Localization.addTranslation("ja","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u6570\u5F0F\u3092\u6B21\u306E\u5F62\u5F0F\u3067\u8868\u793A",MathMLcode:"MathML \u30B3\u30FC\u30C9",OriginalMathML:"\u5143\u306E MathML",TeXCommands:"TeX \u30B3\u30DE\u30F3\u30C9",AsciiMathInput:"AsciiMathML \u5165\u529B",Original:"\u5143\u306E\u5F62\u5F0F",ErrorMessage:"\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8",Annotation:"\u6CE8\u91C8",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML \u3067 TeX \u306E\u30D2\u30F3\u30C8\u3092\u8868\u793A",Settings:"\u6570\u5F0F\u306E\u8A2D\u5B9A",ZoomTrigger:"\u30BA\u30FC\u30E0\u306E\u958B\u59CB\u64CD\u4F5C",Hover:"\u30DB\u30D0\u30FC",Click:"\u30AF\u30EA\u30C3\u30AF",DoubleClick:"\u30C0\u30D6\u30EB\u30AF\u30EA\u30C3\u30AF",NoZoom:"\u30BA\u30FC\u30E0\u306A\u3057",TriggerRequires:"\u5FC5\u8981\u306A\u30AD\u30FC:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u30BA\u30FC\u30E0\u306E\u500D\u7387",Renderer:"\u6570\u5F0F\u30EC\u30F3\u30C0\u30E9\u30FC",MPHandles:"\u6570\u5F0F\u30D7\u30EC\u30FC\u30E4\u30FC\u306B\u51E6\u7406\u3055\u305B\u308B\u30A4\u30D9\u30F3\u30C8:",MenuEvents:"\u30E1\u30CB\u30E5\u30FC \u30A4\u30D9\u30F3\u30C8",MouseEvents:"\u30DE\u30A6\u30B9 \u30A4\u30D9\u30F3\u30C8",MenuAndMouse:"\u30DE\u30A6\u30B9\u3068\u30E1\u30CB\u30E5\u30FC\u306E\u30A4\u30D9\u30F3\u30C8",FontPrefs:"\u30D5\u30A9\u30F3\u30C8\u306E\u8A2D\u5B9A",ForHTMLCSS:"HTML-CSS:",Auto:"\u81EA\u52D5",TeXLocal:"TeX (\u30ED\u30FC\u30AB\u30EB)",TeXWeb:"TeX (Web)",TeXImage:"TeX (\u753B\u50CF)",STIXLocal:"STIX (\u30ED\u30FC\u30AB\u30EB)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC",Browser:"\u30D6\u30E9\u30A6\u30B6\u30FC",Scale:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387\u3092\u5909\u66F4...",Discoverable:"\u30DB\u30D0\u30FC\u6642\u306B\u5F37\u8ABF",Locale:"\u8A00\u8A9E",LoadLocale:"URL \u304B\u3089\u8AAD\u307F\u8FBC\u3080...",About:"MathJax \u306B\u3064\u3044\u3066",Help:"MathJax \u30D8\u30EB\u30D7",localTeXfonts:"\u30ED\u30FC\u30AB\u30EB TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webTeXfonts:"Web TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",imagefonts:"\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",localSTIXfonts:"\u30ED\u30FC\u30AB\u30EB STIX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webSVGfonts:"Web SVG \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",genericfonts:"\u6C4E\u7528 Unicode \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",wofforotffonts:"WOFF \u30D5\u30A9\u30F3\u30C8\u307E\u305F\u306F OTF \u30D5\u30A9\u30F3\u30C8",eotffonts:"EOT \u30D5\u30A9\u30F3\u30C8",svgfonts:"SVG \u30D5\u30A9\u30F3\u30C8",WebkitNativeMMLWarning:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathML \u306B\u30CD\u30A4\u30C6\u30A3\u30D6\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u3068\u601D\u308F\u308C\u308B\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u30DA\u30FC\u30B8\u5185\u306E\u6570\u5F0F\u304C\u5224\u8AAD\u4E0D\u80FD\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIENativeMMLWarning:"Internet Explorer \u3067\u306F\u3001MathML \u51FA\u529B\u3092\u51E6\u7406\u3059\u308B\u305F\u3081\u306B MathPlayer \u30D7\u30E9\u30B0\u30A4\u30F3\u304C\u5FC5\u8981\u3067\u3059\u3002",OperaNativeMMLWarning:"Opera \u306F MathML \u306B\u5B8C\u5168\u306B\u306F\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u6570\u5F0F\u306E\u63CF\u753B\u304C\u4E0D\u5B8C\u5168\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",SafariNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",FirefoxNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIESVGWarning:"IE9 \u3088\u308A\u524D\u306E\u30D0\u30FC\u30B8\u30E7\u30F3\u306E\u5834\u5408\u3001\u307E\u305F\u306F IE8 \u4EE5\u524D\u3092\u30A8\u30DF\u30E5\u30EC\u30FC\u30C8\u3057\u3066\u3044\u308B\u5834\u5408\u3001Internet Explorer \u306B\u306F SVG \u304C\u5B9F\u88C5\u3055\u308C\u3066\u3044\u307E\u305B\u3093\u3002SVG \u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u3001\u6570\u5F0F\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u304F\u306A\u308A\u307E\u3059\u3002",LoadURL:"\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3080 URL:",BadURL:"MathJax \u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u5B9A\u7FA9\u3059\u308B JavaScript \u30D5\u30A1\u30A4\u30EB\u306E URL \u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u3001JavaScript \u306E\u30D5\u30A1\u30A4\u30EB\u540D\u306E\u672B\u5C3E\u306F\u300C.js\u300D\u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002",BadData:"%1 \u304B\u3089\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F",SwitchAnyway:"\u30EC\u30F3\u30C0\u30E9\u30FC\u3092\u672C\u5F53\u306B\u5207\u308A\u66FF\u3048\u307E\u3059\u304B?\n\n(\u5207\u308A\u66FF\u3048\u308B\u306B\u306F OK \u3092\u3001\u73FE\u5728\u306E\u30EC\u30F3\u30C0\u30E9\u30FC\u306E\u307E\u307E\u306B\u3059\u308B\u306B\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044)",ScaleMath:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387 (\u5468\u56F2\u306E\u30C6\u30AD\u30B9\u30C8\u3068\u306E\u6BD4)",NonZeroScale:"\u500D\u7387\u306B 0 \u306F\u6307\u5B9A\u3067\u304D\u307E\u305B\u3093",PercentScale:"\u500D\u7387\u306F\u767E\u5206\u7387\u3067\u306A\u3051\u308C\u3070\u306A\u308A\u307E\u305B\u3093 (\u4F8B: 120%%)",IE8warning:"MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3068\u30BA\u30FC\u30E0\u6A5F\u80FD\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002\n\nMathPlayer \u306E\u8A2D\u5B9A\u3092\u672C\u5F53\u306B\u5909\u66F4\u3057\u307E\u3059\u304B?",IE9warning:"MathJax \u306E\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002",NoOriginalForm:"\u5143\u306E\u5F62\u5F0F\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",Close:"\u9589\u3058\u308B",EqSource:"MathJax \u6570\u5F0F\u306E\u30BD\u30FC\u30B9"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathMenu.js");
diff --git a/localization/ja/TeX.js b/localization/ja/TeX.js
index e25843214..cdbac6025 100644
--- a/localization/ja/TeX.js
+++ b/localization/ja/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraCloseMissingOpen:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingLeftExtraRight:"\\left \u304C\u4E0D\u8DB3\u3001\u307E\u305F\u306F \\right \u304C\u4F59\u5206\u3067\u3059",MissingScript:"\u4E0A\u4ED8\u304D\u307E\u305F\u306F\u4E0B\u4ED8\u304D\u306E\u5F15\u6570\u304C\u3042\u308A\u307E\u305B\u3093",ExtraLeftMissingRight:"\\left \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\right \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",Misplaced:"%1 \u306E\u4F4D\u7F6E\u304C\u6B63\u3057\u304F\u3042\u308A\u307E\u305B\u3093",MissingOpenForSub:"\u4E0B\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",MissingOpenForSup:"\u4E0A\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",AmbiguousUseOf:"%1 \u306E\u8A18\u8FF0\u304C\u66D6\u6627\u3067\u3059",EnvBadEnd:"\\begin{%1} \u304C \\end{%2} \u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u3059",EnvMissingEnd:"\\end{%1} \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingBoxFor:"%1 \u306E\u30DC\u30C3\u30AF\u30B9\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingCloseBrace:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u306E\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9 %1",DoubleExponent:"\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleSubscripts:"\u4E8C\u91CD\u306E\u4E0B\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleExponentPrime:"\u30D7\u30E9\u30A4\u30E0\u8A18\u53F7\u306B\u3088\u308B\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash1:"\u6570\u5F0F\u30E2\u30FC\u30C9\u3067\u306F\u300C\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u6587\u5B57 #\u300D\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MisplacedMiddle:"%1 \u306F \\left \u3068 \\right \u306E\u9593\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",MisplacedMoveRoot:"%1 \u306F\u30EB\u30FC\u30C8\u5185\u3067\u306E\u307F\u4F7F\u7528\u3067\u304D\u307E\u3059",MultipleCommand:"%1 \u304C\u8907\u6570\u3042\u308A\u307E\u3059",IntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NotMathMLToken:"%1 \u306F\u30C8\u30FC\u30AF\u30F3\u8981\u7D20\u3067\u306F\u3042\u308A\u307E\u305B\u3093",InvalidMathMLAttr:"\u7121\u52B9\u306A MathML \u5C5E\u6027: %1",UnknownAttrForElement:"%1 \u3092 %2 \u306E\u5C5E\u6027\u3068\u3057\u3066\u8A8D\u8B58\u3067\u304D\u307E\u305B\u3093",MissingArgFor:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraAlignTab:"\\case \u306E\u30C6\u30AD\u30B9\u30C8\u5185\u3067\u3001\u914D\u7F6E\u7528\u30BF\u30D6\u304C\u4F59\u5206\u3067\u3059",InvalidEnv:"\u74B0\u5883\u540D\u300C%1\u300D\u306F\u7121\u52B9\u3067\u3059",UnknownEnv:"\u74B0\u5883\u300C%1\u300D\u306F\u4E0D\u660E\u3067\u3059",ExtraCloseLooking:"%1 \u3092\u63A2\u7D22\u3059\u308B\u969B\u306B\u4F59\u5206\u306A\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u898B\u3064\u304B\u308A\u307E\u3057\u305F",MissingCloseBracket:"%1 \u306E\u5F15\u6570\u306E\u9589\u3058\u62EC\u5F27\u300C]\u300D\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MissingOrUnrecognizedDelim:"%1 \u306E\u533A\u5207\u308A\u304C\u4E0D\u8DB3\u307E\u305F\u306F\u672A\u5206\u985E\u3067\u3059",TokenNotFoundForCommand:"%2 \u306B\u5BFE\u5FDC\u3059\u308B %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MathNotTerminated:"\u6570\u5F0F\u304C\u30C6\u30AD\u30B9\u30C8 \u30DC\u30C3\u30AF\u30B9\u5185\u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u305B\u3093",IllegalMacroParam:"\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u53C2\u7167\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",CommandNotAllowedInEnv:"%1 \u306F %2 \u74B0\u5883\u3067\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MultipleLabel:"\u30E9\u30D9\u30EB\u300C%1\u300D\u304C\u8907\u6570\u56DE\u5B9A\u7FA9\u3055\u308C\u3066\u3044\u307E\u3059",CommandAtTheBeginingOfLine:"%1 \u306F\u884C\u982D\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",IllegalAlign:"%1 \u306B\u6307\u5B9A\u3057\u305F\u5F15\u6570\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",BadMathStyleFor:"%1 \u306E\u6570\u5F0F\u306E\u30B9\u30BF\u30A4\u30EB\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",PositiveIntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6B63\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MultlineRowsOneCol:"%1 \u74B0\u5883\u5185\u306E\u5404\u884C\u306F 1 \u5217\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MultipleBBoxProperty:"%1 \u304C %2 \u5185\u3067 2 \u56DE\u6307\u5B9A\u3055\u308C\u3066\u3044\u307E\u3059",InvalidBBoxProperty:"\u300C%1\u300D\u306F\u3001\u8272\u3001\u30D1\u30C7\u30A3\u30F3\u30B0\u3001\u30B9\u30BF\u30A4\u30EB\u306E\u3044\u305A\u308C\u3067\u3082\u306A\u3044\u3088\u3046\u3067\u3059",ExtraEndMissingBegin:"%1 \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\begingroup \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",GlobalNotFollowedBy:"%1 \u306E\u5F8C\u306B \\let\u3001\\def\u3001\\newcommand \u306E\u3044\u305A\u308C\u3082\u3042\u308A\u307E\u305B\u3093",UndefinedColorModel:"\u8272\u30E2\u30C7\u30EB\u300C%1\u300D\u306F\u672A\u5B9A\u7FA9\u3067\u3059",ModelArg1:"\u8272\u30E2\u30C7\u30EB %1 \u306B\u306F\u5024\u304C 3 \u3064\u5FC5\u8981\u3067\u3059",InvalidDecimalNumber:"\u7121\u52B9\u306A 10 \u9032\u6570\u3067\u3059",ModelArg2:"\u8272\u30E2\u30C7\u30EB %1 \u306E\u5024\u306F %2 \u3068 %3 \u306E\u9593\u306B\u3057\u3066\u304F\u3060\u3055\u3044",InvalidNumber:"\u7121\u52B9\u306A\u6570\u5024\u3067\u3059",NewextarrowArg1:"%1 \u306E\u7B2C 1 \u5F15\u6570\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg2:"%1 \u306E\u7B2C 2 \u5F15\u6570\u306F\u3001\u30AB\u30F3\u30DE\u3067\u533A\u5207\u3063\u305F 2 \u3064\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg3:"%1 \u306E\u7B2C 3 \u5F15\u6570\u306F Unicode \u306E\u6587\u5B57\u756A\u53F7\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NoClosingChar:"\u9589\u3058\u62EC\u5F27 %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",IllegalControlSequenceName:"%1 \u306B\u6307\u5B9A\u3067\u304D\u306A\u3044\u8AA4\u3063\u305F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u3067\u3059",IllegalParamNumber:"%1 \u306B\u6307\u5B9A\u3057\u305F\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306E\u500B\u6570\u304C\u8AA4\u3063\u3066\u3044\u307E\u3059",MissingCS:"%1 \u306E\u5F8C\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash2:"%1 \u306E\u30C6\u30F3\u30D7\u30EC\u30FC\u30C8\u5185\u3067 # \u306E\u4F7F\u7528\u6CD5\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",SequentialParam:"%1 \u306E\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306F\u9023\u756A\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MissingReplacementString:"%1 \u306E\u5B9A\u7FA9\u3067\u7F6E\u63DB\u6587\u5B57\u5217\u304C\u3042\u308A\u307E\u305B\u3093",MismatchUseDef:"%1 \u306E\u5B9A\u7FA9\u3068\u4E00\u81F4\u3057\u3066\u3044\u306A\u3044\u4F7F\u7528\u6CD5\u3067\u3059",NoClosingDelim:"%1 \u306E\u7D42\u4E86\u533A\u5207\u308A\u6587\u5B57\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",MisplacedLimits:"%1 \u306F\u6F14\u7B97\u5B50\u306E\u307F\u306B\u4F7F\u7528\u3067\u304D\u307E\u3059",MaxMacroSub1:"MathJax \u306E\u30DE\u30AF\u30ED\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",MaxMacroSub2:"MathJax \u306E\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002LaTeX \u74B0\u5883\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",BracketMustBeDimension:"%1 \u306E\u4E2D\u62EC\u5F27\u5F15\u6570\u306F\u5BF8\u6CD5\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MissingDimOrUnits:"%1 \u3067\u3001\u5BF8\u6CD5\u307E\u305F\u306F\u305D\u306E\u5358\u4F4D\u304C\u3042\u308A\u307E\u305B\u3093",MaxBufferSize:"MathJax \u306E\u5185\u90E8\u30D0\u30C3\u30D5\u30A1\u30FC \u30B5\u30A4\u30BA\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",ErroneousNestingEq:"\u6570\u5F0F\u306E\u5165\u308C\u5B50\u69CB\u9020\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",RunawayArgument:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u308B\u3088\u3046\u3067\u3059"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/TeX.js");
+MathJax.Localization.addTranslation("ja","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraCloseMissingOpen:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingLeftExtraRight:"\\left \u304C\u4E0D\u8DB3\u3001\u307E\u305F\u306F \\right \u304C\u4F59\u5206\u3067\u3059",MissingScript:"\u4E0A\u4ED8\u304D\u307E\u305F\u306F\u4E0B\u4ED8\u304D\u306E\u5F15\u6570\u304C\u3042\u308A\u307E\u305B\u3093",ExtraLeftMissingRight:"\\left \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\right \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",Misplaced:"%1 \u306E\u4F4D\u7F6E\u304C\u6B63\u3057\u304F\u3042\u308A\u307E\u305B\u3093",MissingOpenForSub:"\u4E0B\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",MissingOpenForSup:"\u4E0A\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",AmbiguousUseOf:"%1 \u306E\u8A18\u8FF0\u304C\u66D6\u6627\u3067\u3059",EnvBadEnd:"\\begin{%1} \u304C \\end{%2} \u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u3059",EnvMissingEnd:"\\end{%1} \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingBoxFor:"%1 \u306E\u30DC\u30C3\u30AF\u30B9\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingCloseBrace:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u306E\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9 %1",DoubleExponent:"\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleSubscripts:"\u4E8C\u91CD\u306E\u4E0B\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleExponentPrime:"\u30D7\u30E9\u30A4\u30E0\u8A18\u53F7\u306B\u3088\u308B\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash1:"\u6570\u5F0F\u30E2\u30FC\u30C9\u3067\u306F\u300C\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u6587\u5B57 #\u300D\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MisplacedMiddle:"%1 \u306F \\left \u3068 \\right \u306E\u9593\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",MisplacedLimits:"%1 \u306F\u6F14\u7B97\u5B50\u306E\u307F\u306B\u4F7F\u7528\u3067\u304D\u307E\u3059",MisplacedMoveRoot:"%1 \u306F\u30EB\u30FC\u30C8\u5185\u3067\u306E\u307F\u4F7F\u7528\u3067\u304D\u307E\u3059",MultipleCommand:"%1 \u304C\u8907\u6570\u3042\u308A\u307E\u3059",IntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NotMathMLToken:"%1 \u306F\u30C8\u30FC\u30AF\u30F3\u8981\u7D20\u3067\u306F\u3042\u308A\u307E\u305B\u3093",InvalidMathMLAttr:"\u7121\u52B9\u306A MathML \u5C5E\u6027: %1",UnknownAttrForElement:"%1 \u3092 %2 \u306E\u5C5E\u6027\u3068\u3057\u3066\u8A8D\u8B58\u3067\u304D\u307E\u305B\u3093",MaxMacroSub1:"MathJax \u306E\u30DE\u30AF\u30ED\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",MaxMacroSub2:"MathJax \u306E\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002LaTeX \u74B0\u5883\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",MissingArgFor:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraAlignTab:"\\case \u306E\u30C6\u30AD\u30B9\u30C8\u5185\u3067\u3001\u914D\u7F6E\u7528\u30BF\u30D6\u304C\u4F59\u5206\u3067\u3059",BracketMustBeDimension:"%1 \u306E\u4E2D\u62EC\u5F27\u5F15\u6570\u306F\u5BF8\u6CD5\u306B\u3057\u3066\u304F\u3060\u3055\u3044",InvalidEnv:"\u74B0\u5883\u540D\u300C%1\u300D\u306F\u7121\u52B9\u3067\u3059",UnknownEnv:"\u74B0\u5883\u300C%1\u300D\u306F\u4E0D\u660E\u3067\u3059",ExtraCloseLooking:"%1 \u3092\u63A2\u7D22\u3059\u308B\u969B\u306B\u4F59\u5206\u306A\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u898B\u3064\u304B\u308A\u307E\u3057\u305F",MissingCloseBracket:"%1 \u306E\u5F15\u6570\u306E\u9589\u3058\u62EC\u5F27\u300C]\u300D\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MissingOrUnrecognizedDelim:"%1 \u306E\u533A\u5207\u308A\u304C\u4E0D\u8DB3\u307E\u305F\u306F\u672A\u5206\u985E\u3067\u3059",MissingDimOrUnits:"%1 \u3067\u3001\u5BF8\u6CD5\u307E\u305F\u306F\u305D\u306E\u5358\u4F4D\u304C\u3042\u308A\u307E\u305B\u3093",TokenNotFoundForCommand:"%2 \u306B\u5BFE\u5FDC\u3059\u308B %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MathNotTerminated:"\u6570\u5F0F\u304C\u30C6\u30AD\u30B9\u30C8 \u30DC\u30C3\u30AF\u30B9\u5185\u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u305B\u3093",IllegalMacroParam:"\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u53C2\u7167\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",MaxBufferSize:"MathJax \u306E\u5185\u90E8\u30D0\u30C3\u30D5\u30A1\u30FC \u30B5\u30A4\u30BA\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",CommandNotAllowedInEnv:"%1 \u306F %2 \u74B0\u5883\u3067\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MultipleLabel:"\u30E9\u30D9\u30EB\u300C%1\u300D\u304C\u8907\u6570\u56DE\u5B9A\u7FA9\u3055\u308C\u3066\u3044\u307E\u3059",CommandAtTheBeginingOfLine:"%1 \u306F\u884C\u982D\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",IllegalAlign:"%1 \u306B\u6307\u5B9A\u3057\u305F\u5F15\u6570\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",BadMathStyleFor:"%1 \u306E\u6570\u5F0F\u306E\u30B9\u30BF\u30A4\u30EB\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",PositiveIntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6B63\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",ErroneousNestingEq:"\u6570\u5F0F\u306E\u5165\u308C\u5B50\u69CB\u9020\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",MultlineRowsOneCol:"%1 \u74B0\u5883\u5185\u306E\u5404\u884C\u306F 1 \u5217\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MultipleBBoxProperty:"%1 \u304C %2 \u5185\u3067 2 \u56DE\u6307\u5B9A\u3055\u308C\u3066\u3044\u307E\u3059",InvalidBBoxProperty:"\u300C%1\u300D\u306F\u3001\u8272\u3001\u30D1\u30C7\u30A3\u30F3\u30B0\u3001\u30B9\u30BF\u30A4\u30EB\u306E\u3044\u305A\u308C\u3067\u3082\u306A\u3044\u3088\u3046\u3067\u3059",ExtraEndMissingBegin:"%1 \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\begingroup \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",GlobalNotFollowedBy:"%1 \u306E\u5F8C\u306B \\let\u3001\\def\u3001\\newcommand \u306E\u3044\u305A\u308C\u3082\u3042\u308A\u307E\u305B\u3093",UndefinedColorModel:"\u8272\u30E2\u30C7\u30EB\u300C%1\u300D\u306F\u672A\u5B9A\u7FA9\u3067\u3059",ModelArg1:"\u8272\u30E2\u30C7\u30EB %1 \u306B\u306F\u5024\u304C 3 \u3064\u5FC5\u8981\u3067\u3059",InvalidDecimalNumber:"\u7121\u52B9\u306A 10 \u9032\u6570\u3067\u3059",ModelArg2:"\u8272\u30E2\u30C7\u30EB %1 \u306E\u5024\u306F %2 \u3068 %3 \u306E\u9593\u306B\u3057\u3066\u304F\u3060\u3055\u3044",InvalidNumber:"\u7121\u52B9\u306A\u6570\u5024\u3067\u3059",NewextarrowArg1:"%1 \u306E\u7B2C 1 \u5F15\u6570\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg2:"%1 \u306E\u7B2C 2 \u5F15\u6570\u306F\u3001\u30AB\u30F3\u30DE\u3067\u533A\u5207\u3063\u305F 2 \u3064\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg3:"%1 \u306E\u7B2C 3 \u5F15\u6570\u306F Unicode \u306E\u6587\u5B57\u756A\u53F7\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NoClosingChar:"\u9589\u3058\u62EC\u5F27 %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",IllegalControlSequenceName:"%1 \u306B\u6307\u5B9A\u3067\u304D\u306A\u3044\u8AA4\u3063\u305F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u3067\u3059",IllegalParamNumber:"%1 \u306B\u6307\u5B9A\u3057\u305F\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306E\u500B\u6570\u304C\u8AA4\u3063\u3066\u3044\u307E\u3059",MissingCS:"%1 \u306E\u5F8C\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash2:"%1 \u306E\u30C6\u30F3\u30D7\u30EC\u30FC\u30C8\u5185\u3067 # \u306E\u4F7F\u7528\u6CD5\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",SequentialParam:"%1 \u306E\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306F\u9023\u756A\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MissingReplacementString:"%1 \u306E\u5B9A\u7FA9\u3067\u7F6E\u63DB\u6587\u5B57\u5217\u304C\u3042\u308A\u307E\u305B\u3093",MismatchUseDef:"%1 \u306E\u5B9A\u7FA9\u3068\u4E00\u81F4\u3057\u3066\u3044\u306A\u3044\u4F7F\u7528\u6CD5\u3067\u3059",RunawayArgument:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u308B\u3088\u3046\u3067\u3059",NoClosingDelim:"%1 \u306E\u7D42\u4E86\u533A\u5207\u308A\u6587\u5B57\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/TeX.js");
diff --git a/localization/ja/ja.js b/localization/ja/ja.js
index 25933664f..69f347c6f 100644
--- a/localization/ja/ja.js
+++ b/localization/ja/ja.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja",null,{menuTitle:"\u65E5\u672C\u8A9E",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax \u306F\u3001\u30E6\u30FC\u30B6\u30FC\u8A2D\u5B9A\u306E Cookie \u3067\u5B9F\u884C\u3059\u3079\u304D\u30B3\u30FC\u30C9\u3092\u691C\u51FA\u3057\u307E\u3057\u305F\u3002\u5B9F\u884C\u3057\u307E\u3059\u304B?\n\n(Cookie \u3092\u81EA\u5206\u3067\u8A2D\u5B9A\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002)",MathProcessingError:"\u6570\u5F0F\u51E6\u7406\u30A8\u30E9\u30FC",MathError:"\u6570\u5F0F\u30A8\u30E9\u30FC",LoadFile:"%1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",Loading:"\u8AAD\u307F\u8FBC\u307F\u4E2D",LoadFailed:"\u30D5\u30A1\u30A4\u30EB\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F: %1",ProcessMath:"\u6570\u5F0F\u3092\u51E6\u7406\u4E2D: %1%%",Processing:"\u51E6\u7406\u4E2D",TypesetMath:"\u6570\u5F0F\u3092\u7D44\u7248\u4E2D: %1%%",Typesetting:"\u7D44\u7248\u4E2D",MathJaxNotSupported:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathJax \u306B\u5BFE\u5FDC\u3057\u3066\u3044\u307E\u305B\u3093"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/ja.js");
+MathJax.Localization.addTranslation("ja",null,{menuTitle:"\u65E5\u672C\u8A9E",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax \u306F\u3001\u30E6\u30FC\u30B6\u30FC\u8A2D\u5B9A\u306E Cookie \u3067\u5B9F\u884C\u3059\u3079\u304D\u30B3\u30FC\u30C9\u3092\u691C\u51FA\u3057\u307E\u3057\u305F\u3002\u5B9F\u884C\u3057\u307E\u3059\u304B?\n\n(Cookie \u3092\u81EA\u5206\u3067\u8A2D\u5B9A\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002)",MathProcessingError:"\u6570\u5F0F\u51E6\u7406\u30A8\u30E9\u30FC",MathError:"\u6570\u5F0F\u30A8\u30E9\u30FC",LoadFile:"%1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",Loading:"\u8AAD\u307F\u8FBC\u307F\u4E2D",LoadFailed:"\u30D5\u30A1\u30A4\u30EB\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F: %1",ProcessMath:"\u6570\u5F0F\u3092\u51E6\u7406\u4E2D: %1%%",Processing:"\u51E6\u7406\u4E2D",TypesetMath:"\u6570\u5F0F\u3092\u7D44\u7248\u4E2D: %1%%",Typesetting:"\u7D44\u7248\u4E2D",MathJaxNotSupported:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathJax \u306B\u5BFE\u5FDC\u3057\u3066\u3044\u307E\u305B\u3093"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/ja.js");
diff --git a/localization/kn/FontWarnings.js b/localization/kn/FontWarnings.js
new file mode 100644
index 000000000..4c45ba575
--- /dev/null
+++ b/localization/kn/FontWarnings.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/kn/FontWarnings.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("kn","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9D\u0C95\u0CCD\u0CB7\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAC\u0CB3\u0CB8\u0CBF \u0C87\u0CA6\u0CC6. \u0C88 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CB8\u0CAE\u0CAF \u0CA4\u0CC6\u0C97\u0CC6\u0CA6\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CC0\u0CB5\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C97\u0CA3\u0C95\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAB\u0CCB\u0CB2\u0CCD\u0CA1\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CC7\u0CB0\u0CB5\u0CBE\u0C97\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAA\u0CC1\u0C9F \u0CB5\u0CC7\u0C97\u0CB5\u0CBE\u0C97\u0CBF \u0CA8\u0CBF\u0CB0\u0CC2\u0CAA\u0CBF\u0CB8\u0CB2\u0CC1 \u0C8E\u0C82\u0CA6\u0CC1.",noFonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD       \u0C85\u0CA6\u0CB0 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CAC\u0CB3\u0CB8\u0CB2\u0CC1 \u0C92\u0C82\u0CA6\u0CC1 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAA\u0CA4\u0CCD\u0CA4\u0CC6 \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2, \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0CB2\u0CAD\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C85\u0CB5\u0CC1\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6 \u0C8E\u0C82\u0CA6\u0CC1 \u0CAD\u0CB0\u0CB5\u0CB8\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0CB8\u0CBE\u0CB0\u0CCD\u0CB5\u0CA4\u0CCD\u0CB0\u0CBF\u0C95 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CAA\u0CBE\u0CA4\u0CCD\u0CB0\u0C97\u0CB3\u0CC1 \u0CB9\u0CBF\u0C82\u0CA6\u0CC6 \u0CAC\u0CC0\u0CB3\u0CC1\u0CB5 \u0C87\u0CA6\u0CC6. \u0C95\u0CC6\u0CB2\u0CB5\u0CC1 \u0CAA\u0CBE\u0CA4\u0CCD\u0CB0\u0C97\u0CB3\u0CC1 \u0CB8\u0CB0\u0CBF\u0CAF\u0CBE\u0C97\u0CBF, \u0C85\u0CA5\u0CB5\u0CBE \u0CAC\u0CB9\u0CC1\u0CB6\u0C83 \u0C8E\u0CB2\u0CCD\u0CB2\u0CBE \u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CB5\u0CC6 \u0C87\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",webFonts:"\u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0C85\u0CA4\u0CCD\u0CAF\u0C82\u0CA4 \u0C86\u0CA7\u0CC1\u0CA8\u0CBF\u0C95 \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1 \u0C85\u0CB5\u0C95\u0CBE\u0CB6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD (\u0C85\u0CA5\u0CB5\u0CBE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0CAC\u0CA6\u0CB2\u0CBE\u0CB5\u0CA3\u0CC6) \u0C87\u0CA4\u0CCD\u0CA4\u0CC0\u0C9A\u0CBF\u0CA8 \u0C86\u0CB5\u0CC3\u0CA4\u0CCD\u0CA4\u0CBF\u0C97\u0CC6 \u0C85\u0CAA\u0CCD\u0CA1\u0CC7\u0C9F\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0C97\u0CC1\u0CA3\u0CAE\u0C9F\u0CCD\u0C9F\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2.",fonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C92\u0C82\u0CA6\u0CCB [\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%1) \u0C85\u0CA5\u0CB5 [\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%2) \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4 \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB5\u0CB3\u0CCD\u0CB2\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C87\u0CA6\u0CB0\u0CB2\u0CCD\u0CB2\u0CBF \u0CAF\u0CBE\u0CB5\u0CA6\u0CBE\u0CA6\u0CB0\u0CC1 \u0C92\u0C82\u0CA6\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA6\u0CBF\u0C95\u0CCA\u0CB2\u0CCD\u0CB2\u0CBF.",STIXPage:"\u0C88 \u0CAA\u0CC1\u0C9F  [\u0CB8\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CCD\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 ](%1) \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB5\u0CBF\u0CA8\u0CCD\u0CAF\u0CBE\u0CB8 \u0C86\u0C97\u0CBF\u0CA6\u0CC6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C88 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF.",TeXPage:"\u0C88 \u0CAA\u0CC1\u0C9F  [\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD   \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CCD\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 ](%1) \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB5\u0CBF\u0CA8\u0CCD\u0CAF\u0CBE\u0CB8 \u0C86\u0C97\u0CBF\u0CA6\u0CC6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C88 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/FontWarnings.js");
diff --git a/localization/kn/HTML-CSS.js b/localization/kn/HTML-CSS.js
new file mode 100644
index 000000000..fd361280b
--- /dev/null
+++ b/localization/kn/HTML-CSS.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/kn/HTML-CSS.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("kn","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD  %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",CantLoadWebFont:" \u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD  %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CC1 \u0C87\u0CB2\u0CCD\u0CB2",FirefoxCantLoadWebFont:"\u0CAB\u0CC8\u0CB0\u0CCD\u0CAB\u0CBE\u0C95\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CA6\u0CC2\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CB9\u0CCB\u0CB8\u0CCD\u0C9F\u0CCD \u0C87\u0C82\u0CA6 \u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",CantFindFontUsing:"%1 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC1  \u0CB8\u0CB0\u0CBF\u0CAF\u0CBE\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2",WebFontsNotAvailable:"\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1 \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2, \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CBF."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/HTML-CSS.js");
diff --git a/localization/kn/HelpDialog.js b/localization/kn/HelpDialog.js
new file mode 100644
index 000000000..7f0c50d01
--- /dev/null
+++ b/localization/kn/HelpDialog.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/kn/HelpDialog.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("kn","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6",MathJax:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD   \u0CAA\u0CC1\u0C9F \u0CB2\u0CC7\u0C96\u0C95\u0CB0\u0CC1 \u0CA4\u0CAE\u0CCD\u0CAE \u0CB5\u0CC6\u0CAC\u0CCD \u0CAA\u0CC1\u0C9F\u0C97\u0CB3 \u0C92\u0CB3\u0C97\u0CC6 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CC7\u0CB0\u0CBF\u0CB8\u0CB2\u0CC1 \u0C85\u0CA8\u0CC1\u0CAE\u0CA4\u0CBF\u0CB8\u0CC1\u0CB5 \u0C92\u0C82\u0CA6\u0CC1 \u0C9C\u0CBE\u0CB5\u0CBE\u0CB8\u0CCD\u0C95\u0CCD\u0CB0\u0CBF\u0CAA\u0CCD\u0C9F\u0CCD \u0C97\u0CCD\u0CB0\u0C82\u0CA5\u0CBE\u0CB2\u0CAF. \u0C92\u0C82\u0CA6\u0CC1 \u0CB0\u0CC0\u0CA1\u0CB0\u0CCD, \u0CA8\u0CC0\u0CB5\u0CC1 \u0C89\u0C82\u0C9F\u0CBE\u0C97\u0CC1\u0CB5 \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0C8F\u0CA8\u0CC1 \u0C85\u0C97\u0CA4\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2.",Browsers:"*\u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1*: \u0CAE\u0CA0 Jax \u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD 6 +, \u0CAB\u0CC8\u0CB0\u0CCD\u0CAB\u0CBE\u0C95\u0CCD\u0CB8\u0CCD 3 + \u0C95\u0CCD\u0CB0\u0CCB\u0CAE\u0CCD 0.2 +, \u0CB8\u0CAB\u0CBE\u0CB0\u0CBF 2 + \u0C92\u0CAA\u0CC6\u0CB0\u0CBE 9.6 + \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C85\u0CA4\u0CCD\u0CAF\u0C82\u0CA4 \u0CAE\u0CCA\u0CAC\u0CC8\u0CB2\u0CCD \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0CB8\u0CC7\u0CB0\u0CBF\u0CA6\u0C82\u0CA4\u0CC6 \u0C8E\u0CB2\u0CCD\u0CB2 \u0C86\u0CA7\u0CC1\u0CA8\u0CBF\u0C95 \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1 \u0C95\u0CC6\u0CB2\u0CB8 \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6.",Zoom:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0CC2\u0CAE\u0CCD: \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0C95\u0CCD\u0CB7  \u0C92\u0C82\u0CA6\u0CC1 \u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA8\u0CCB\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CA8\u0CBF\u0CAE\u0C97\u0CC6 \u0C89\u0CAA\u0CCD\u0CAA\u0CA6\u0CCD\u0CA6\u0CB0 \u0C86\u0C97\u0CC1\u0CA4 \u0C87\u0CA6\u0CCD\u0CA6\u0CBE\u0CB0\u0CC6, \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CC1 \u0CA8\u0CBF\u0CAE\u0C97\u0CC6 \u0CB8\u0CB0\u0CBF \u0CA8\u0CCB\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA6\u0CCA\u0CA1\u0CCD\u0CA1\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6.",Fonts:"* \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 *: \u0C85\u0CB5\u0CB0\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C95\u0C82\u0CAA\u0CCD\u0CAF\u0CC2\u0C9F\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD   \u0C95\u0CC6\u0CB2\u0CB5\u0CC1 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6; \u0C87\u0CB2\u0CCD\u0CB2\u0CA6\u0CBF\u0CA6\u0CCD\u0CA6\u0CB0\u0CC6, \u0C87\u0CA6\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6. \u0C85\u0C97\u0CA4\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC2, \u0CB8\u0CCD\u0CA5\u0CB3\u0CC0\u0CAF\u0CB5\u0CBE\u0C97\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C9F\u0CC8\u0CAA\u0CCD\u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD \u0CB5\u0CC7\u0C97\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1. \u0CA8\u0CBE\u0CB5\u0CC1 [\u0CB8\u0CCD\u0C9F\u0CBF\u0C95\u0CCD\u0CB8\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%1) \u0C85\u0CA8\u0CC1\u0CB8\u0CCD\u0CA5\u0CBE\u0CAA\u0CBF\u0CB8\u0CC1\u0CB5\u0CBE\u0C97 \u0CB8\u0CC2\u0C9A\u0CBF\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/HelpDialog.js");
diff --git a/localization/kn/MathML.js b/localization/kn/MathML.js
new file mode 100644
index 000000000..2602b961f
--- /dev/null
+++ b/localization/kn/MathML.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/kn/MathML.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("kn","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u0C95\u0CC6\u0C9F\u0CCD\u0C9F mglyph:  %1",BadMglyphFont:"\u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0CA4\u0CC8\u0CB2\u0CA6\u0CBE\u0CA8\u0CBF:         %1",UnknownNodeType:"\u0C97\u0CCA\u0CA4\u0CCD\u0CA4\u0CC1 \u0C87\u0CB0\u0CB2\u0CC7 \u0C87\u0CA6\u0CCD\u0CA6 \u0CA8\u0CCB\u0CA1\u0CCD \u0C9F\u0CC8\u0CAA\u0CCD: %1",UnexpectedTextNode:"\u0C8E\u0CA6\u0CB0\u0CC1 \u0CA8\u0CCB\u0CA6\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2\u0CA6\u0CCD\u0CA6 \u0CA8\u0CCB\u0CA1\u0CCD \u0C9F\u0CC8\u0CAA\u0CCD   :     %1",ErrorParsingMathML:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAA\u0CBE\u0CB0\u0CCD\u0CB8\u0CC6 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF",ParsingError:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAA\u0CBE\u0CB0\u0CCD\u0CB8\u0CC6 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF: %1",MathMLSingleElement:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0C8E\u0CB2\u0CBF\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C87\u0C82\u0CA6 \u0CAE\u0CBE\u0CA1 \u0CAC\u0CC6\u0C95\u0CC1.",MathMLRootElement:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1  \u003Cmath\u003E \u0C9F\u0CCD\u0CAF\u0CBE\u0C97\u0CCD  \u0C87\u0C82\u0CA6 \u0CB6\u0CC1\u0CB0\u0CC1 \u0C86\u0C97\u0CAC\u0CC7\u0C95\u0CC1, %1    \u0C87\u0C82\u0CA6 \u0C85\u0CB2\u0CCD\u0CB2"}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/MathML.js");
diff --git a/localization/kn/MathMenu.js b/localization/kn/MathMenu.js
new file mode 100644
index 000000000..f387801e2
--- /dev/null
+++ b/localization/kn/MathMenu.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/kn/MathMenu.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("kn","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC7\u0C97\u0CC6 \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF?",MathMLcode:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD  \u0CB8\u0CE6\u0C95\u0CC7\u0CA4",OriginalMathML:"\u0CAE\u0CC2\u0CB2 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",TeXCommands:"\u0C9F\u0CC6\u0C95\u0CCD\u0CB7\u0CCD 	\u0C85\u0CAA\u0CCD\u0CAA\u0CA3\u0CC6\u0C97\u0CB3\u0CC1",AsciiMathInput:"\u0C86\u0CB8\u0CCD\u0C9A\u0CC0 \u0CAE\u0CBE\u0CA4 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",Original:"\u0CAE\u0CC2\u0CB2 \u0CB0\u0CC2\u0CAA",ErrorMessage:"\u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF \u0CAA\u0CA4\u0CCD\u0CB0",Annotation:"\u0C9F\u0CBF\u0CAA\u0CCD\u0CAA\u0CA3\u0CBF",TeX:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD",StarMath:"\u0CB8\u0CCD\u0C9F\u0CBE\u0CB0\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD",Maple:"\u0CAE\u0CC7\u0CAA\u0CB2\u0CCD",ContentMathML:"\u0CB5\u0CBF\u0CB7\u0CAF \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",OpenMath:"\u0C93\u0CAA\u0CA8\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD",texHints:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CC2\u0C9A\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CBF\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC2 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CBF",Settings:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD\u0C97\u0CB3\u0CC1",ZoomTrigger:"\u0C9C\u0CC2\u0CAE\u0CCD \u0C9F\u0CCD\u0CB0\u0CBF\u0C97\u0CB0\u0CCD",Hover:"\u0CB9\u0CCA\u0CB5\u0CC6\u0CB0\u0CCD",Click:"\u0C95\u0CCD\u0CB2\u0CBF\u0C95\u0CCD",DoubleClick:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0C95\u0CCD\u0CB2\u0CBF\u0C95\u0CCD",NoZoom:"\u0C9C\u0CCB\u0CAE \u0C87\u0CB2\u0CCD\u0CB2",TriggerRequires:"\u0C9F\u0CCD\u0CB0\u0CBF\u0C97\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0CAC\u0CC6\u0C95\u0C97\u0CC1\u0CA4\u0CA6\u0CC6:",Option:"\u0C86\u0CAF\u0CCD\u0C95\u0CC6",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0C9C\u0CCB\u0CAE \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8",Renderer:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA4\u0CBF\u0CAF\u0CBE\u0C97\u0CBF \u0C95\u0CCA\u0CA1\u0CC1\u0CB5\u0CB5",MPHandles:"\u0CAE\u0CA4\u0CCD \u0CAA\u0CCD\u0CB2\u0CC7\u0CAF\u0CB0\u0CCD \u0C8E\u0C82\u0CA4 \u0CA8\u0CBF\u0CB0\u0CCD\u0CB5\u0CB9\u0CBF\u0CB8\u0CB2\u0CC1 \u0CAE\u0CBE\u0CA1 \u0CAC\u0CC7\u0C95\u0CC1?",MenuEvents:"\u0CAE\u0CC6\u0CA8\u0CC1 \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",MouseEvents:"\u0CAE\u0CCC\u0CB8\u0CCD \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",MenuAndMouse:"\u0CAE\u0CCC\u0CB8\u0CCD \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0CAE\u0CC6\u0CA8\u0CC1 \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",FontPrefs:"\u0CA4\u0CC8\u0CB2\u0CA6\u0CBE\u0CA8\u0CBF \u0C86\u0CAF\u0CBF\u0C95\u0CC6\u0C97\u0CB3\u0CC1",ForHTMLCSS:"\u0C8E\u0C9A\u0CCD \u0CA4\u0CC0 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD / \u0CB8\u0CC0 \u0C8E\u0CB8\u0CCD\u0CB8\u0CCD \u0C8E\u0CB8\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6",Auto:"\u0CB8\u0CCD\u0CB5\u0CAF\u0C82\u0C9A\u0CB2\u0CBF",TeXLocal:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0CB2\u0CCB\u0C95\u0CB2\u0CCD)",TeXWeb:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",TeXImage:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0C87\u0CAE\u0CC7\u0C9C\u0CCD)",STIXLocal:"\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD (\u0CB2\u0CCB\u0C95\u0CB2\u0CCD)",STIXWeb:"\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",AsanaMathWeb:"\u0C86\u0CB8\u0CA8 \u0CAE\u0CBE\u0CA4 (\u0CB5\u0CC6\u0CAC\u0CCD)",GyrePagellaWeb:"\u0C97\u0CCD\u0CAF\u0CCD\u0CB0\u0CC6 \u0CAA\u0C97\u0CC6\u0CB2\u0CCD\u0CB2 (\u0CB5\u0CC6\u0CAC\u0CCD)",GyreTermesWeb:"\u0C97\u0CCD\u0CAF\u0CCD\u0CB0\u0CC6 \u0C9F\u0CB0\u0CCD\u0CAE\u0CCD\u0CB8\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",LatinModernWeb:"\u0CB9\u0CCA\u0CB8 \u0CB2\u0CCD\u0CAF\u0CBE\u0C9F\u0CBF\u0CA8\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",NeoEulerWeb:"\u0CA8\u0CBF\u0CAF\u0CCB \u0C92\u0C87\u0CB2\u0CC6\u0CB0\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",ContextMenu:"\u0CB8\u0C82\u0CA6\u0CB0\u0CCD\u0CAD\u0CCB\u0C9A\u0CBF\u0CA4 \u0CAE\u0CC6\u0CA8\u0CC1",Browser:"\u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD",Scale:"\u0C8E\u0CB2\u0CCD\u0CB2 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0C88 \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8 \u0CA6\u0CBF\u0C82\u0CA6 \u0CAA\u0CCD\u0CB0\u0CAE\u0CBE\u0CA3\u0CA6 \u0CAE\u0CBE\u0CA1\u0CBF :",Discoverable:"\u0CB9\u0CCA\u0CB5\u0CC6\u0CB0\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CBE\u0C97 \u0CB9\u0CC8\u0CB2\u0CC8\u0C9F\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF",Locale:"\u0CAD\u0CBE\u0CB7\u0CC6",LoadLocale:"\u0CAF\u0CC2 \u0C86\u0CB0\u0CCD \u0C8E\u0CB2\u0CCD\u0CB2 \u0C87\u0C82\u0CA6 \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF",About:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CAC\u0C97\u0CCD\u0C97\u0CC6",Help:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6",localTeXfonts:"\u0CB2\u0CCB\u0C95\u0CB2\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",webTeXfonts:"\u0CB5\u0CC6\u0CAC\u0CCD        \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD\u0C9F\u0CCD     \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",imagefonts:"\u0C87\u0CAE\u0CC7\u0C9C\u0CCD    \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",localSTIXfonts:"\u0CB2\u0CCB\u0C95\u0CB2\u0CCD \u0CB8\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD  \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",webSVGfonts:"\u0CB5\u0CC6\u0CAC\u0CCD        \u0C8E\u0CB8 \u0CB5\u0CC7 \u0C9C\u0CC0     \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",genericfonts:"\u0C9C\u0CBE\u0CA4\u0CBF\u0CB5\u0CBF\u0CB6\u0CBF\u0CB8\u0CCD\u0CA4\u0CB5\u0CBE\u0CA6 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",wofforotffonts:"\u0CB5\u0CCA\u0CAB\u0CCD\u0CAB\u0CCD \u0C85\u0CA5\u0CB5 \u0C92\u0CA4\u0CCD\u0CAB\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",eotffonts:"\u0C8E\u0C92\u0CA4\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",svgfonts:"\u0C8E\u0CB8 \u0CB5\u0CC7 \u0C9C\u0CC0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",WebkitNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C85\u0CA6\u0CB0 \u0C85\u0CB7\u0CCD\u0C9F\u0C95\u0CCD\u0C95\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA5\u0CCA\u0CB0\u0CBF\u0CB8\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C87\u0C97\u0CC6 \u0CB8\u0CCD\u0CB5\u0CBF\u0C9A\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CB0\u0CC6, \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CA6\u0CCD\u0CA6 \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0C93\u0CA6\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CA6\u0CC6 \u0C87\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MSIENativeMMLWarning:"\u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0CAA\u0CCD\u0CB2\u0CC7\u0CAF\u0CB0\u0CCD \u0CAA\u0CCD\u0CB2\u0C97\u0CCD-\u0C87\u0CA8\u0CCD \u0CAC\u0CC6\u0C95\u0CC1.",OperaNativeMMLWarning:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C87\u0C97\u0CC6 \u0C92\u0CAA\u0CC6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CAC\u0CC6\u0C82\u0CAC\u0CB2 \u0C89\u0C82\u0C9F\u0CC1, \u0C85\u0CA6\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C87\u0C97\u0CC6 \u0CB8\u0CCD\u0CB5\u0CBF\u0C9A\u0CCD \u0CAE\u0CBE\u0CA6\u0CC1\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0C95\u0CC6\u0CB2\u0CCD\u0CB2\u0CB5 \u0CB5\u0CBF\u0CB7\u0CAF \u0C97\u0CB3\u0CC1 \u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0CB0\u0CC0\u0CA4\u0CBF\u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CB0\u0CC6\u0CA8\u0CCD\u0CA6\u0CC6\u0CB0\u0CCD \u0C86\u0C97 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",SafariNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C87\u0CA8 \u0C85\u0CA6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0C82\u0CA4 \u0C8E\u0CB2\u0CCD\u0CB2 \u0CAB\u0CC0\u0C9A\u0CB0\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CAC\u0CBF\u0CA6\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6, \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",FirefoxNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C87\u0CA8 \u0C85\u0CA6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0C82\u0CA4 \u0C8E\u0CB2\u0CCD\u0CB2 \u0CAB\u0CC0\u0C9A\u0CB0\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CAC\u0CBF\u0CA6\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6, \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MSIESVGWarning:"\u0C8E\u0CB8\u0CCD  \u0CB5\u0CBF \u0C9C\u0CBF \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC2 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD (\u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD) \u0CAC\u0CB0\u0CBF \u0C90\u0C88\u0CEF \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CB8\u0CAA\u0CCB\u0CB0\u0CCD\u0C9F\u0CCD \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6. \u0C90\u0C88\u0CEF \u0C95\u0CBF\u0C82\u0CA4 \u0C95\u0CAE\u0CCD\u0CAE\u0CBF \u0CB5\u0CB0\u0CCD\u0CB7\u0CA8\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CB8\u0CBF\u0CAE\u0CC1\u0CB3\u0CC6\u0C9F\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CB8\u0CB9 \u0CB9\u0CBE\u0C97\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6. \u0C85\u0CA6\u0C95\u0CCD\u0C95\u0CC6 \u0C8E\u0CB8 \u0CB5\u0CBF \u0C9C\u0CC0 \u0C87\u0C97\u0CC6 \u0CAC\u0CA6\u0CB2\u0CBF\u0CB8\u0CBF\u0CA6\u0CB0\u0CC6 \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",LoadURL:"\u0C88 \u0CAF\u0CC1 \u0C86\u0CB0\u0CCD \u0C8E\u0CB2\u0CCD \u0C87\u0C82\u0CA6 \u0CA1\u0CBE\u0C9F\u0CBE \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",BadURL:'\u0C88 \u0CAF\u0CC1\u0C86\u0CB0\u0CCD\u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0C9C\u0CBE\u0CB5\u0CBE\u0CB8\u0CCD\u0C95\u0CCD\u0CB0\u0CBF\u0CAA\u0CCD\u0C9F\u0CCD \u0CAB\u0CC8\u0CB2\u0CCD \u0C87\u0C97\u0CC6 \u0CB9\u0CCB\u0C97\u0CAC\u0CC7\u0C95\u0CC1 \u0CAF\u0CBE\u0CB5\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0CA8 \u0C9F\u0CCD\u0CB0\u0CBE\u0CA8\u0CCD\u0CB8\u0CCD\u0CB2\u0CC7\u0CB7\u0CA8\u0CCD \u0CA1\u0CC7\u0C9F\u0CBE\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CBF\u0CA1\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CC1\u0CA4\u0CA6\u0CC6. \u0C85\u0C82\u0CA4 \u0CAB\u0CC8\u0CB2\u0CCD \u0C87\u0CA8 \u0CB9\u0CC6\u0CB8\u0CB0\u0CC1 \u0C92\u0C82\u0CA6\u0CC1 ".js" \u0C8E\u0C95\u0CCD\u0CB8\u0C9F\u0CC6\u0CA8\u0CCD\u0CB6\u0CA8\u0CCD \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CAE\u0CC1\u0C97\u0CBF\u0CA4\u0CA6\u0CC6,',BadData:"%1 \u0C87\u0C82\u0CA6 \u0C85\u0CA8\u0CC1\u0CB5\u0CBE\u0CA7 \u0CA1\u0CBE\u0C9F\u0CBE \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",SwitchAnyway:"\u0C86\u0CA6\u0CB0\u0CC1\u0CB8\u0CB9 \u0CB0\u0CC6\u0CA8\u0CCD\u0CA6\u0CC6\u0CB0\u0CC6\u0CB0\u0CCD \u0CAC\u0CA6\u0CB2\u0CBE\u0CAF\u0CBF\u0CB8 \u0CAC\u0CC6\u0C95?",ScaleMath:"\u0CAF\u0CB2\u0CCD\u0CB2 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CBE\u0C95\u0CBF \u0CAA\u0CA5\u0CCD\u0CAF\u0C95\u0CCD\u0C95\u0CC6  \u0CB9\u0CCB\u0CB2\u0CBF\u0C95\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB7\u0CCD\u0C9F\u0CC1 \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8\u0CA6\u0CBF\u0C82\u0CA6 \u0CA6\u0CCA\u0CA1\u0CCD\u0CA1\u0CA6\u0CC1 \u0C85\u0CA5\u0CB5\u0CBE \u0CB8\u0CC7\u0CA8\u0CCD\u0CA8\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA6\u0CBF.",NonZeroScale:"\u0CB8\u0CCD\u0C95\u0CC7\u0CB2\u0CCD \u0CB8\u0CCA\u0CA8\u0CCD\u0CA8\u0CC6 \u0C87\u0CB0 \u0CAC\u0CBE\u0CB0\u0CA6\u0CC1",PercentScale:"\u0CB8\u0CCD\u0C95\u0CC7\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CB0\u0CCD\u0CB8\u0C82\u0C9F\u0CC7\u0C9C\u0CCD \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1 (\u0C89\u0CA6\u0CBE\u0CB9\u0CB0\u0CA3: \u0CE7\u0CE8\u0CE6%%)",NoOriginalForm:"\u0CAE\u0CC2\u0CB2 \u0CB0\u0CC2\u0CAA \u0CB2\u0CAD\u0CCD\u0CAF\u0CB5\u0CBF\u0CB0\u0CB5 \u0C87\u0CB2\u0CCD\u0CB2",Close:"\u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CBF",EqSource:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0CB8\u0CCA\u0CB0\u0CCD\u0CB8\u0CCD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/MathMenu.js");
diff --git a/localization/kn/TeX.js b/localization/kn/TeX.js
new file mode 100644
index 000000000..94cd5623a
--- /dev/null
+++ b/localization/kn/TeX.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/kn/TeX.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("kn","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",ExtraCloseMissingOpen:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",MissingLeftExtraRight:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\left \u0C85\u0CA5\u0CB5 \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \\right",MissingScript:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0 \u0C85\u0CA5\u0CB5 \u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0",ExtraLeftMissingRight:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \\left \u0C85\u0CA5\u0CB5 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\right",Misplaced:"\u0CA4\u0CAA\u0CCD\u0CAA \u0CB8\u0CCD\u0CA5\u0CB3\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0C9F\u0CCD\u0C9F\u0CBF\u0CA6\u0CCD\u0CA6\u0CC1  %1",MissingOpenForSub:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97",MissingOpenForSup:"\u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97",AmbiguousUseOf:"%1 \u0C87\u0CA8 \u0C85\u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0C89\u0CAA\u0CAF\u0CCB\u0C97",EnvBadEnd:"\\begin{%1} \u0C87\u0CA8 \u0C85\u0C82\u0CA4 \\end{%2} \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CAE\u0CBE\u0CA6\u0CBF\u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CC6",EnvMissingEnd:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\end{%1}",MissingBoxFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CB8\u0C82\u0CA6\u0CC2\u0C95",MissingCloseBrace:"\u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",UndefinedControlSequence:"\u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F\u0CC0\u0C95\u0CB0\u0CBF\u0CB8\u0CA6 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE %1",DoubleExponent:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0; \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C87\u0CA8 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA1\u0CC1",DoubleSubscripts:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0; \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C87\u0CA8 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA1\u0CC1",DoubleExponentPrime:"\u0CAA\u0CCD\u0CB0\u0CC8\u0CAE\u0CCD \u0C87\u0C82\u0CA6 \u0C86\u0C97\u0CBF \u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA4\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CB8\u0CBF\u0CA4\u0CC1\u0CA6\u0CC6. \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA6\u0CBF.",CantUseHash1:"'macro \u0CAA\u0CCD\u0CAF\u0CBE\u0CB0\u0CBE\u0CAE\u0CC0\u0C9F\u0CB0\u0CCD \u0C95\u0CCD\u0CAF\u0CBE\u0CB0\u0CC6\u0C95\u0CCD\u0C9F\u0CB0\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAE\u0CBE\u0CA4\u0CCD \u0CAE\u0CCB\u0CA1\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",MisplacedMiddle:"%1 \\left \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \\right  \u0C87\u0CA8 \u0CAE\u0CA7\u0CCD\u0CAF\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",MisplacedLimits:"%1 \u0CAC\u0CB0\u0CBF \u0C86\u0CAA\u0CB0\u0CC7\u0C9F\u0CB0\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CB9\u0CBE\u0C95\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MisplacedMoveRoot:"%1 \u0CAC\u0CB0\u0CBF root \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CAC\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MultipleCommand:" \u0C85\u0CA8\u0CC7\u0C95  %1.",IntegerArg:"%1 \u0C87\u0C97\u0CC6 \u0CAC\u0C82\u0CA1 \u0C86\u0CB0\u0CCD\u0C97\u0CCD\u0CAF\u0CC1\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CB0\u0CCD\u0CA8\u0CBE\u0CA8\u0CCD\u0C95\u0CB5\u0CC7 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NotMathMLToken:"%1 \u0C9F\u0CCB\u0C95\u0CA8\u0CCD \u0C8E\u0CB2\u0CBF\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C85\u0CB2\u0CCD\u0CB2.",InvalidMathMLAttr:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAE\u0CBE\u0CA4 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C97\u0CC1\u0CA3 :    %1",UnknownAttrForElement:"%1 %2 \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA8\u0CCD\u0CAF\u0CA4\u0CC6 \u0C97\u0CC1\u0CA3 \u0C85\u0CB2\u0CCD\u0CB2",MaxMacroSub1:"\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD  \u0C97\u0CB0\u0CBF\u0CB7\u0CCD\u0CA0 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CAF \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6 \u0CAE\u0CCD\u0CAF\u0CBE\u0C97\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0C95\u0CB0\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",MaxMacroSub2:"\u0C97\u0CB0\u0CBF\u0CB7\u0CCD\u0CA0 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CAF \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6 \u0CAE\u0CCD\u0CAF\u0CBE\u0C97\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CB2\u0CCD\u0CAF\u0CBE\u0C9F\u0CC6\u0C95\u0CCD\u0CB8\u0CCD \u0CAA\u0CB0\u0CBF\u0CB8\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",MissingArgFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6",ExtraAlignTab:"\\cases \u0CAA\u0CA0\u0CCD\u0CAF\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0C85\u0CB2\u0CC8\u0CA8\u0CCD\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C9F\u0CCD\u0CAF\u0CBE\u0CAC\u0CCD.",BracketMustBeDimension:"%1 \u0C87\u0C97\u0CC6 \u0C87\u0CA6\u0CCD\u0CA6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C85\u0CB3\u0CA4\u0CC6\u0CB5\u0CC6 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",InvalidEnv:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3 \u0CB9\u0CC6\u0CB8\u0CB0\u0CC1:  %1",UnknownEnv:"\u0C85\u0C9C\u0CCD\u0C9E\u0CBE\u0CA4 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3 '%1'",ExtraCloseLooking:"%1 \u0CB9\u0CC1\u0CA1\u0CC1\u0C95\u0CC1\u0CB5\u0CBE\u0C97 \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CBF\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",MissingCloseBracket:"%1 \u0C87\u0C97\u0CC6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6\u0C97\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CC6\u0CA6\u0CC6 ']' \u0CB8\u0CBF\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",MissingOrUnrecognizedDelim:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C85\u0CA5\u0CB5 \u0C85\u0CB0\u0CCD\u0CA5 \u0C86\u0C97\u0CA6 \u0C87\u0CA6\u0CCD\u0CA6 \u0CAC\u0CCD\u0CB0\u0C9A\u0CCD\u0C95\u0CC6\u0CA4\u0CCD.",MissingDimOrUnits:"%1 \u0C87\u0C97\u0CC6 \u0CB8\u0CBF\u0C97\u0CA6\u0CC7 \u0C87\u0CA6\u0CCD\u0CA6 \u0C85\u0CB2\u0CBF\u0CA4\u0CC6 \u0C85\u0CA5\u0CB5 \u0C85\u0CA6\u0CB0 \u0C98\u0C9F\u0C95\u0C97\u0CB3\u0CC1.",TokenNotFoundForCommand:"%1 \u0C87\u0C97\u0CC6 %2 \u0CB8\u0CBF\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",MathNotTerminated:"\u0C97\u0CA3\u0CBF\u0CA4\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CA5\u0CCD\u0CAF \u0CB8\u0C82\u0CA6\u0CC2\u0C95 \u0CB5\u0CB3\u0C97\u0CC6 \u0CAE\u0CC1\u0C97\u0CBF\u0CB8\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",IllegalMacroParam:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0CAA\u0CCD\u0CAF\u0CBE\u0CB0\u0CBE\u0CAE\u0CC0\u0C9F\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0C89\u0CB2\u0CCD\u0CB2\u0CC7\u0C96",MaxBufferSize:"\u0CAE\u0CBE\u0CA4 \u0C9C\u0C95\u0CCD\u0CB7\u0CCD  \u0C86\u0C82\u0CA4\u0CB0\u0CBF\u0C95 \u0CAC\u0CAB\u0CB0\u0CCD \u0C97\u0CBE\u0CA4\u0CCD\u0CB0\u0CA6 \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0C95\u0CB0\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",CommandNotAllowedInEnv:"%2 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF  %1 \u0C85\u0CB5\u0C95\u0CBE\u0CB6 \u0C85\u0CB2\u0CCD\u0CB2",MultipleLabel:"%1 \u0C85\u0CA8\u0CC7\u0C95 \u0CB8\u0CB2 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CBE\u0CA8\u0CBF\u0CB8\u0CB2\u0CC1 \u0C86\u0C97\u0CBF\u0C95\u0CCA\u0C82\u0CA1\u0CC1 \u0C89\u0C82\u0C9F\u0CC1",CommandAtTheBeginingOfLine:"%1 \u0CAA\u0C82\u0C95\u0CCD\u0CA4\u0CBF\u0CA6 \u0CAE\u0CCA\u0CA6\u0CB2\u0CC1 \u0CAC\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",IllegalAlign:"%1 \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CB8\u0CBE\u0CB2\u0CC1\u0C97\u0CC2\u0CA1\u0CBF\u0C95\u0CC6 \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CC6",BadMathStyleFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0C97\u0CA3\u0CBF\u0CA4\u0CA6\u0CCD\u0CA6\u0CC1 \u0CB6\u0CC8\u0CB2\u0CBF \u0C89\u0C82\u0C9F\u0CC1",PositiveIntegerArg:"%1 \u0C87\u0C97\u0CC6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0CA7\u0CA8\u0CBE\u0CA4\u0CCD\u0CAE\u0C95 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3\u0CBE\u0C82\u0C95 \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",ErroneousNestingEq:"\u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0CB0\u0C9A\u0CA8\u0CC6\u0C97\u0CB3 \u0CA4\u0CC3\u0CA4\u0CBF\u0CB5\u0CBE\u0CA6 \u0CA8\u0CC6\u0CB8\u0CCD\u0CA4\u0CBF\u0C82\u0C97\u0CCD",MultlineRowsOneCol:"%1 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3\u0CA6 \u0CB5\u0CB3\u0C97\u0CC6 \u0C87\u0CA6\u0CCD\u0CA6 \u0CB8\u0CBE\u0CB2\u0CC1\u0C97\u0CB3\u0CBF\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC7 \u0CB8\u0CCD\u0CA4\u0C82\u0CAD \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",MultipleBBoxProperty:"%2 \u0C87\u0CA8 \u0CB5\u0CB3\u0C97\u0CC6 %1 \u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CB2 \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCA\u0C97\u0CBF\u0CA6\u0CC6.",InvalidBBoxProperty:"'%1'  \u0C92\u0C82\u0CA6\u0CC1 \u0CAC\u0CA3\u0CCD\u0CA3, \u0C89\u0CAC\u0CCD\u0CAC\u0CBF\u0CB8\u0CB5 \u0C85\u0CB2\u0CBF\u0CA4\u0CC6, \u0C85\u0CA5\u0CB5\u0CBE \u0CB6\u0CC8\u0CB2\u0CBF \u0CB9\u0CBE\u0C97\u0CC6 \u0C95\u0CBE\u0CA8\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",ExtraEndMissingBegin:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 %1 \u0C85\u0CA5\u0CB5 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\begingroup",GlobalNotFollowedBy:"%1 \u0C87\u0CA8 \u0CAE\u0CC1\u0C82\u0CA6\u0CC6  \\let, \\def, \\def, \u0C85\u0CA5\u0CB5  \\newcommand \u0CAC\u0CB0\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",UndefinedColorModel:"\u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF '%1' \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",ModelArg1:"%1 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF\u0C97\u0CC6 \u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0CE9 (3) \u0C85\u0C82\u0C95\u0C97\u0CB3\u0CC1 \u0CAC\u0CC6\u0C95\u0C97\u0CC1\u0CA4\u0CA6\u0CC6.",InvalidDecimalNumber:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CA6\u0CB6\u0CAE\u0CB3\u0CA8\u0CCD\u0CB6",ModelArg2:"%1 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF\u0C97\u0CC6 \u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0C85\u0CA8\u0CCD\u0C96\u0C97\u0CB3\u0CC1  %2 \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1  %3 \u0C87\u0CA8 \u0CAE\u0CA7\u0CCD\u0CAF \u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",InvalidNumber:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0C85\u0C82\u0C95.",NewextarrowArg1:"%1 \u0C87\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CA8\u0CC7 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE \u0C87\u0CB0 \u0CAC\u0CC6\u0C95\u0CC1.",NewextarrowArg2:"%1 \u0C87\u0C97\u0CC6 \u0C8E\u0CB0\u0CA1\u0CA8\u0CC7  \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0C95\u0CC6\u0CAE\u0CCD\u0CAE \u0CA6\u0CBF\u0C82\u0CA6 \u0CAC\u0CC7\u0CB0\u0CC6 \u0C86\u0CA6 \u0C8E\u0CB0\u0CA1\u0CC1 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3\u0CBE\u0C82\u0C95 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NewextarrowArg3:"%1 \u0C87\u0C97\u0CC6 \u0CAE\u0CC2\u0CB0\u0CA8\u0CC7 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CB8\u0CE6\u0C95\u0CC7\u0CA4 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NoClosingChar:"\u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CC1\u0CB5 %1 \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2.",IllegalControlSequenceName:"%1 \u0C87\u0C97\u0CC6 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3  \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE",IllegalParamNumber:"%1 \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CBF\u0CAF\u0CA4\u0CBE\u0C82\u0C95\u0C97\u0CB3  \u0C92\u0C82\u0CA6\u0CC1 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CB8\u0C82\u0C96\u0CCD\u0CAF\u0CBE  \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CCD\u0CA6\u0CC6",MissingCS:"%1 \u0C86\u0CA6\u0CAE\u0CC7\u0CB2\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C95\u0CCD\u0CB0\u0CAE \u0CAC\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",CantUseHash2:"%1 \u0C87\u0C97\u0CC6 \u0C9F\u0CC6\u0C82\u0CAA\u0CCD\u0CB2\u0CC6\u0C9F\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF  # \u0C87\u0CA8 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0C89\u0CAA\u0CAF\u0CCB\u0C97",SequentialParam:" %1 \u0C87\u0C97\u0CC6 \u0CA8\u0CBF\u0CAF\u0CA4\u0CBE\u0C82\u0C95 \u0C92\u0C82\u0CA6\u0CC1 \u0C95\u0CCD\u0CB0\u0CAE \u0CAA\u0CCD\u0CB0\u0C95\u0CBE\u0CB0 \u0CB8\u0C82\u0C96\u0CCD\u0CAF\u0CBE \u0CA4\u0CC6\u0C95\u0CCA\u0CB3\u0CC1\u0CAC\u0CC7\u0C95\u0CC1",MissingReplacementString:"%1 \u0C87\u0CA8 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CBE\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAC\u0CA6\u0CB2\u0CBF \u0CB9\u0C97\u0CCD\u0C97",MismatchUseDef:"%1 \u0C87\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0C85\u0CA6\u0CB0 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1  \u0CB8\u0CB0\u0CBF\u0C9C\u0CC7\u0CA1\u0CBF \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2",RunawayArgument:"%1 \u0C87\u0C97\u0CC6 \u0C93\u0CA6\u0CC1 \u0CB9\u0CCB\u0C97\u0CC1\u0CB5 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 ?",NoClosingDelim:"%1 \u0C87\u0C97\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CB5 \u0CAC\u0CCD\u0CB0\u0CBE\u0C95\u0CC6\u0C9F\u0CCD \u0CB8\u0CBF\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/TeX.js");
diff --git a/localization/kn/kn.js b/localization/kn/kn.js
new file mode 100644
index 000000000..e9b15f9a2
--- /dev/null
+++ b/localization/kn/kn.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/kn/kn.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("kn",null,{menuTitle:"\u0C95\u0CA8\u0CCD\u0CA8\u0CA1",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:'\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0C97\u0CC6  \u0C92\u0C82\u0CA6\u0CC1 \u0CB8\u0CA6\u0CB8\u0CCD\u0CAF \u0C9A\u0CCA\u0CA8\u0CCD\u0CAB\u0CBC\u0CBF\u0C97\u0CC1\u0CB0\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C95\u0CC1\u0C95\u0CC0 \u0CB8\u0CBF\u0C95\u0CCD\u0C95\u0CBF\u0CA6\u0CC6. \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB0\u0CA8\u0CCD \u0CAE\u0CBE\u0CA1\u0CAC\u0CC7\u0C95?   \n\n(\u0CA8\u0CC0\u0CB5\u0CC7 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB8\u0CC6\u0C9F\u0CCD \u0C85\u0CAA\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CC1 \u0C85\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC6 "Cancel" \u0C85\u0CA5\u0CB5\u0CBE "\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1" \u0CB5\u0CA4\u0CCD\u0CA4\u0CBF.)',MathProcessingError:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA4\u0CBF\u0C95\u0CCD\u0CB0\u0CBF\u0CAF \u0CAE\u0CBE\u0CA6\u0CC1\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF",MathError:"\u0C97\u0CA3\u0CBF\u0CA4\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF",LoadFile:"%1 \u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",Loading:"\u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",LoadFailed:"%1 \u0CAB\u0CC8\u0CB2\u0CCD \u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",ProcessMath:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA4\u0CBF\u0C95\u0CCD\u0CB0\u0CC0\u0CAF\u0CC6 \u0C86\u0C97\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1: %1%%",Processing:"\u0CAA\u0CCD\u0CB0\u0CA4\u0CBF\u0C95\u0CCD\u0CB0\u0CC0\u0CAF\u0CC6 \u0C86\u0C97\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",TypesetMath:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAC\u0CB0\u0CBF\u0CA6\u0CC1 \u0CB9\u0CCA\u0C97\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1: %1%%",Typesetting:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAC\u0CB0\u0CBF\u0CA6\u0CC1 \u0CB9\u0CCA\u0C97\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",MathJaxNotSupported:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CBF\u0CA6\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/kn.js");
diff --git a/localization/ko/FontWarnings.js b/localization/ko/FontWarnings.js
index 55a64b17d..0d4b5d2fd 100644
--- a/localization/ko/FontWarnings.js
+++ b/localization/ko/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/FontWarnings.js");
+MathJax.Localization.addTranslation("ko","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/FontWarnings.js");
diff --git a/localization/ko/HTML-CSS.js b/localization/ko/HTML-CSS.js
index a5d209ed3..03285cc28 100644
--- a/localization/ko/HTML-CSS.js
+++ b/localization/ko/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HTML-CSS.js");
+MathJax.Localization.addTranslation("ko","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HTML-CSS.js");
diff --git a/localization/ko/HelpDialog.js b/localization/ko/HelpDialog.js
index 1215b35a7..278c875ae 100644
--- a/localization/ko/HelpDialog.js
+++ b/localization/ko/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HelpDialog.js");
+MathJax.Localization.addTranslation("ko","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HelpDialog.js");
diff --git a/localization/ko/MathML.js b/localization/ko/MathML.js
index 8f8f55caf..4d83afa85 100644
--- a/localization/ko/MathML.js
+++ b/localization/ko/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathML.js");
+MathJax.Localization.addTranslation("ko","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathML.js");
diff --git a/localization/ko/MathMenu.js b/localization/ko/MathMenu.js
index 95a870925..a89be4403 100644
--- a/localization/ko/MathMenu.js
+++ b/localization/ko/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"\uC218\uC2DD \uBCF4\uAE30",MathMLcode:"MathML \uCF54\uB4DC",OriginalMathML:"\uC6D0\uB798 MathML",TeXCommands:"TeX \uBA85\uB839",AsciiMathInput:"AsciiMathML \uC785\uB825",Original:"\uC6D0\uB798 \uC591\uC2DD",ErrorMessage:"\uC624\uB958 \uBA54\uC2DC\uC9C0",Annotation:"\uC8FC\uC11D",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML\uC5D0 TeX \uD78C\uD2B8 \uBCF4\uC774\uAE30",Settings:"\uC218\uC2DD \uC124\uC815",ZoomTrigger:"\uD2B8\uB9AC\uAC70 \uD655\uB300",Hover:"\uAC00\uB9AC\uD0A4\uAE30",Click:"\uD074\uB9AD",DoubleClick:"\uB354\uBE14 \uD074\uB9AD",NoZoom:"\uD655\uB300 \uC5C6\uC74C",TriggerRequires:"\uD544\uC694\uD55C \uD2B8\uB9AC\uAC70:",Option:"\uC120\uD0DD \uC0AC\uD56D",Alt:"Alt",Command:"\uCEE4\uB9E8\uB4DC",Control:"\uCEE8\uD2B8\uB864",Shift:"\uC2DC\uD504\uD2B8",ZoomFactor:"\uD655\uB300 \uBC30\uC728",Renderer:"\uC218\uC2DD \uB80C\uB354\uB7EC",MPHandles:"MathPlayer\uC5D0 \uCC98\uB9AC\uD560 \uC774\uBCA4\uD2B8:",MenuEvents:"\uBA54\uB274 \uC774\uBCA4\uD2B8",MouseEvents:"\uB9C8\uC6B0\uC2A4 \uC774\uBCA4\uD2B8",MenuAndMouse:"\uB9C8\uC6B0\uC2A4\uC640 \uBA54\uB274 \uC774\uBCA4\uD2B8",FontPrefs:"\uAE00\uAF34 \uD658\uACBD \uC124\uC815",ForHTMLCSS:"HTML-CSS:",Auto:"\uC790\uB3D9",TeXLocal:"TeX (\uB85C\uCEEC)",TeXWeb:"TeX (\uC6F9)",TeXImage:"TeX (\uADF8\uB9BC)",STIXLocal:"STIX (\uB85C\uCEEC)",ContextMenu:"\uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274",Browser:"\uD0D0\uC0C9\uAE30",Scale:"\uBAA8\uB4E0 \uC218\uC2DD \uBC30\uC728 ...",Discoverable:"\uAC00\uB9AC\uD0A4\uBA74 \uAC15\uC870",Locale:"\uC5B8\uC5B4",LoadLocale:"URL\uC5D0\uC11C \uC5F4\uAE30 ...",About:"MathJax \uC815\uBCF4",Help:"MathJax \uB3C4\uC6C0\uB9D0",localTeXfonts:"\uB85C\uCEEC TeX \uAE00\uAF34 \uC0AC\uC6A9",webTeXfonts:"\uC6F9 TeX \uAE00\uAF34 \uC0AC\uC6A9",imagefonts:"\uADF8\uB9BC \uAE00\uAF34 \uC0AC\uC6A9",localSTIXfonts:"\uB85C\uCEEC STIX \uAE00\uAF34 \uC0AC\uC6A9",webSVGfonts:"\uC6F9 SVG \uAE00\uAF34 \uC0AC\uC6A9",genericfonts:"\uC77C\uBC18 \uC720\uB2C8\uCF54\uB4DC \uAE00\uAF34 \uC0AC\uC6A9",wofforotffonts:"woff \uB610\uB294 otf \uAE00\uAF34",eotffonts:"eot \uAE00\uAF34",svgfonts:"svg \uAE00\uAF34",WebkitNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uAC00 \uAE30\uBCF8\uC801\uC73C\uB85C MathML\uC744 \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uB294 \uAC83 \uAC19\uAE30 \uB54C\uBB38\uC5D0 MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uBB38\uC11C\uC5D0 \uC788\uB294 \uC218\uC2DD\uC744 \uC77D\uC744 \uC218 \uC5C6\uAC8C \uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",MSIENativeMMLWarning:"\uC778\uD130\uB137 \uC775\uC2A4\uD50C\uB85C\uB7EC\uB294 MathML \uCD9C\uB825\uC744 \uCC98\uB9AC\uD558\uAE30 \uC704\uD574 MathPlayer \uD50C\uB7EC\uADF8\uC778\uC774 \uD544\uC694\uD569\uB2C8\uB2E4.",OperaNativeMMLWarning:"\uC624\uD398\uB77C\uC758 MathML \uC9C0\uC6D0\uC740 \uC81C\uD55C\uC801\uC774\uBBC0\uB85C MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uC77C\uBD80 \uD45C\uD604\uC774 \uBD88\uC644\uC804\uD558\uAC8C \uB80C\uB354\uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",SafariNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",FirefoxNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",LoadURL:"\uC774 URL\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130 \uC5F4\uAE30:",BadData:"%1\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130\uB97C \uC5F4 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",NonZeroScale:"\uBC30\uC728\uC740 0\uC774 \uC544\uB2C8\uC5B4\uC57C \uD569\uB2C8\uB2E4",PercentScale:"\uBC30\uC728\uC740 \uBC31\uBD84\uC728\uC774\uC5B4\uC57C \uD569\uB2C8\uB2E4 (\uC608, 120%%)",IE9warning:"MathJax \uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274\uAC00 \uBE44\uD65C\uC131\uD654\uB418\uC9C0\uB9CC, \uB300\uC2E0 MathJax \uBA54\uB274\uB97C \uC5BB\uC73C\uB824\uBA74 Alt-\uD074\uB9AD\uC744 \uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",NoOriginalForm:"\uC6D0\uB798 \uC591\uC2DD\uC744 \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",Close:"\uB2EB\uAE30",EqSource:"MathJax \uC218\uC2DD \uC790\uB8CC"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathMenu.js");
+MathJax.Localization.addTranslation("ko","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\uC218\uC2DD \uBCF4\uAE30",MathMLcode:"MathML \uCF54\uB4DC",OriginalMathML:"\uC6D0\uB798 MathML",TeXCommands:"TeX \uBA85\uB839",AsciiMathInput:"AsciiMathML \uC785\uB825",Original:"\uC6D0\uB798 \uC591\uC2DD",ErrorMessage:"\uC624\uB958 \uBA54\uC2DC\uC9C0",Annotation:"\uC8FC\uC11D",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML\uC5D0 TeX \uD78C\uD2B8 \uBCF4\uC774\uAE30",Settings:"\uC218\uC2DD \uC124\uC815",ZoomTrigger:"\uD2B8\uB9AC\uAC70 \uD655\uB300",Hover:"\uAC00\uB9AC\uD0A4\uAE30",Click:"\uD074\uB9AD",DoubleClick:"\uB354\uBE14 \uD074\uB9AD",NoZoom:"\uD655\uB300 \uC5C6\uC74C",TriggerRequires:"\uD544\uC694\uD55C \uD2B8\uB9AC\uAC70:",Option:"\uC120\uD0DD \uC0AC\uD56D",Alt:"Alt",Command:"\uCEE4\uB9E8\uB4DC",Control:"\uCEE8\uD2B8\uB864",Shift:"\uC2DC\uD504\uD2B8",ZoomFactor:"\uD655\uB300 \uBC30\uC728",Renderer:"\uC218\uC2DD \uB80C\uB354\uB7EC",MPHandles:"MathPlayer\uC5D0 \uCC98\uB9AC\uD560 \uC774\uBCA4\uD2B8:",MenuEvents:"\uBA54\uB274 \uC774\uBCA4\uD2B8",MouseEvents:"\uB9C8\uC6B0\uC2A4 \uC774\uBCA4\uD2B8",MenuAndMouse:"\uB9C8\uC6B0\uC2A4\uC640 \uBA54\uB274 \uC774\uBCA4\uD2B8",FontPrefs:"\uAE00\uAF34 \uD658\uACBD \uC124\uC815",ForHTMLCSS:"HTML-CSS:",Auto:"\uC790\uB3D9",TeXLocal:"TeX (\uB85C\uCEEC)",TeXWeb:"TeX (\uC6F9)",TeXImage:"TeX (\uADF8\uB9BC)",STIXLocal:"STIX (\uB85C\uCEEC)",ContextMenu:"\uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274",Browser:"\uD0D0\uC0C9\uAE30",Scale:"\uBAA8\uB4E0 \uC218\uC2DD \uBC30\uC728 ...",Discoverable:"\uAC00\uB9AC\uD0A4\uBA74 \uAC15\uC870",Locale:"\uC5B8\uC5B4",LoadLocale:"URL\uC5D0\uC11C \uC5F4\uAE30 ...",About:"MathJax \uC815\uBCF4",Help:"MathJax \uB3C4\uC6C0\uB9D0",localTeXfonts:"\uB85C\uCEEC TeX \uAE00\uAF34 \uC0AC\uC6A9",webTeXfonts:"\uC6F9 TeX \uAE00\uAF34 \uC0AC\uC6A9",imagefonts:"\uADF8\uB9BC \uAE00\uAF34 \uC0AC\uC6A9",localSTIXfonts:"\uB85C\uCEEC STIX \uAE00\uAF34 \uC0AC\uC6A9",webSVGfonts:"\uC6F9 SVG \uAE00\uAF34 \uC0AC\uC6A9",genericfonts:"\uC77C\uBC18 \uC720\uB2C8\uCF54\uB4DC \uAE00\uAF34 \uC0AC\uC6A9",wofforotffonts:"woff \uB610\uB294 otf \uAE00\uAF34",eotffonts:"eot \uAE00\uAF34",svgfonts:"svg \uAE00\uAF34",WebkitNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uAC00 \uAE30\uBCF8\uC801\uC73C\uB85C MathML\uC744 \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uB294 \uAC83 \uAC19\uAE30 \uB54C\uBB38\uC5D0 MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uBB38\uC11C\uC5D0 \uC788\uB294 \uC218\uC2DD\uC744 \uC77D\uC744 \uC218 \uC5C6\uAC8C \uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",MSIENativeMMLWarning:"\uC778\uD130\uB137 \uC775\uC2A4\uD50C\uB85C\uB7EC\uB294 MathML \uCD9C\uB825\uC744 \uCC98\uB9AC\uD558\uAE30 \uC704\uD574 MathPlayer \uD50C\uB7EC\uADF8\uC778\uC774 \uD544\uC694\uD569\uB2C8\uB2E4.",OperaNativeMMLWarning:"\uC624\uD398\uB77C\uC758 MathML \uC9C0\uC6D0\uC740 \uC81C\uD55C\uC801\uC774\uBBC0\uB85C MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uC77C\uBD80 \uD45C\uD604\uC774 \uBD88\uC644\uC804\uD558\uAC8C \uB80C\uB354\uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",SafariNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",FirefoxNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",LoadURL:"\uC774 URL\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130 \uC5F4\uAE30:",BadData:"%1\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130\uB97C \uC5F4 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",NonZeroScale:"\uBC30\uC728\uC740 0\uC774 \uC544\uB2C8\uC5B4\uC57C \uD569\uB2C8\uB2E4",PercentScale:"\uBC30\uC728\uC740 \uBC31\uBD84\uC728\uC774\uC5B4\uC57C \uD569\uB2C8\uB2E4 (\uC608, 120%%)",IE9warning:"MathJax \uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274\uAC00 \uBE44\uD65C\uC131\uD654\uB418\uC9C0\uB9CC, \uB300\uC2E0 MathJax \uBA54\uB274\uB97C \uC5BB\uC73C\uB824\uBA74 Alt-\uD074\uB9AD\uC744 \uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",NoOriginalForm:"\uC6D0\uB798 \uC591\uC2DD\uC744 \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",Close:"\uB2EB\uAE30",EqSource:"MathJax \uC218\uC2DD \uC790\uB8CC"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathMenu.js");
diff --git a/localization/ko/TeX.js b/localization/ko/TeX.js
index d99b4de83..88580cb8f 100644
--- a/localization/ko/TeX.js
+++ b/localization/ko/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/TeX.js");
+MathJax.Localization.addTranslation("ko","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/TeX.js");
diff --git a/localization/ko/ko.js b/localization/ko/ko.js
index aa3279777..16c4e6c4d 100644
--- a/localization/ko/ko.js
+++ b/localization/ko/ko.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko",null,{menuTitle:"\uD55C\uAD6D\uC5B4",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax\uAC00 \uC2E4\uD589\uD560 \uCF54\uB4DC\uB97C \uD3EC\uD568\uD558\uB294 \uC0AC\uC6A9\uC790-\uC124\uC815 \uCFE0\uD0A4\uB97C \uCC3E\uC558\uC2B5\uB2C8\uB2E4. \uC2E4\uD589\uD558\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uCFE0\uD0A4\uB97C \uC2A4\uC2A4\uB85C \uC124\uC815\uD558\uC9C0 \uC54A\uC73C\uBA74 \uCDE8\uC18C\uB97C \uB20C\uB7EC\uC57C \uD569\uB2C8\uB2E4.)",MathProcessingError:"\uC218\uC2DD \uCC98\uB9AC \uC624\uB958",MathError:"\uC218\uC2DD \uC624\uB958",LoadFile:"%1(\uC744)\uB97C \uBD88\uB7EC\uC624\uB294 \uC911",Loading:"\uBD88\uB7EC\uC624\uB294 \uC911",LoadFailed:"\uD30C\uC77C\uC744 \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4: %1",ProcessMath:"\uC218\uC2DD \uCC98\uB9AC \uC911: %1%%",Processing:"\uCC98\uB9AC \uC911",TypesetMath:"\uC218\uC2DD \uC870\uD310 \uC911: %1%%",Typesetting:"\uC870\uD310 \uC911",MathJaxNotSupported:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uB294 MathJax\uB97C \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/ko.js");
+MathJax.Localization.addTranslation("ko",null,{menuTitle:"\uD55C\uAD6D\uC5B4",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax\uAC00 \uC2E4\uD589\uD560 \uCF54\uB4DC\uB97C \uD3EC\uD568\uD558\uB294 \uC0AC\uC6A9\uC790-\uC124\uC815 \uCFE0\uD0A4\uB97C \uCC3E\uC558\uC2B5\uB2C8\uB2E4. \uC2E4\uD589\uD558\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uCFE0\uD0A4\uB97C \uC2A4\uC2A4\uB85C \uC124\uC815\uD558\uC9C0 \uC54A\uC73C\uBA74 \uCDE8\uC18C\uB97C \uB20C\uB7EC\uC57C \uD569\uB2C8\uB2E4.)",MathProcessingError:"\uC218\uC2DD \uCC98\uB9AC \uC624\uB958",MathError:"\uC218\uC2DD \uC624\uB958",LoadFile:"%1(\uC744)\uB97C \uBD88\uB7EC\uC624\uB294 \uC911",Loading:"\uBD88\uB7EC\uC624\uB294 \uC911",LoadFailed:"\uD30C\uC77C\uC744 \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4: %1",ProcessMath:"\uC218\uC2DD \uCC98\uB9AC \uC911: %1%%",Processing:"\uCC98\uB9AC \uC911",TypesetMath:"\uC218\uC2DD \uC870\uD310 \uC911: %1%%",Typesetting:"\uC870\uD310 \uC911",MathJaxNotSupported:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uB294 MathJax\uB97C \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/ko.js");
diff --git a/localization/lb/FontWarnings.js b/localization/lb/FontWarnings.js
index bb74b003b..f76631a81 100644
--- a/localization/lb/FontWarnings.js
+++ b/localization/lb/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/FontWarnings.js");
+MathJax.Localization.addTranslation("lb","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/FontWarnings.js");
diff --git a/localization/lb/HTML-CSS.js b/localization/lb/HTML-CSS.js
index 37b28fa85..b89fe8e57 100644
--- a/localization/lb/HTML-CSS.js
+++ b/localization/lb/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HTML-CSS.js");
+MathJax.Localization.addTranslation("lb","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HTML-CSS.js");
diff --git a/localization/lb/HelpDialog.js b/localization/lb/HelpDialog.js
index dd1eca71f..6e65a4ec4 100644
--- a/localization/lb/HelpDialog.js
+++ b/localization/lb/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HelpDialog.js");
+MathJax.Localization.addTranslation("lb","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HelpDialog.js");
diff --git a/localization/lb/MathML.js b/localization/lb/MathML.js
index 62473ed55..0155ee186 100644
--- a/localization/lb/MathML.js
+++ b/localization/lb/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathML.js");
+MathJax.Localization.addTranslation("lb","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathML.js");
diff --git a/localization/lb/MathMenu.js b/localization/lb/MathMenu.js
index f0e86cc2a..847f5b0d8 100644
--- a/localization/lb/MathMenu.js
+++ b/localization/lb/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","MathMenu",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathMenu.js");
+MathJax.Localization.addTranslation("lb","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{MathMLcode:"MathML Code",OriginalMathML:"Original MathML",Original:"Original Formulaire",ErrorMessage:"Feelermessage",Annotation:"Notiz",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",OpenMath:"OpenMath",Settings:"Math Astellungen",Hover:"Driwwerfueren",Click:"Klicken",DoubleClick:"Duebel-Klick",NoZoom:"Kee Zoom",Option:"Optioun",Alt:"Alt",Control:"Ctrl",Auto:"Automatesch",TeXImage:"TeX (Bild)",STIXLocal:"STIX (lokal)",ContextMenu:"kontextuelle Men\u00FC",Browser:"Browser",Locale:"Sprooch",LoadLocale:"Luede vun der URL ...",About:"Iwwer MathJax",Help:"MathJax H\u00EBllef",LoadURL:"Iwwersetzungsdonn\u00E9e\u00EB vun d\u00EBser URL lueden:",Close:"Zoumaachen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathMenu.js");
diff --git a/localization/lb/TeX.js b/localization/lb/TeX.js
index a36f286f1..6697436ef 100644
--- a/localization/lb/TeX.js
+++ b/localization/lb/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/TeX.js");
+MathJax.Localization.addTranslation("lb","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/TeX.js");
diff --git a/localization/lb/lb.js b/localization/lb/lb.js
index a7686fd8a..f94927057 100644
--- a/localization/lb/lb.js
+++ b/localization/lb/lb.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb",null,{menuTitle:"L\u00EBtzebuergesch",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{LoadFile:"%1 lueden",Loading:"Lueden",LoadFailed:"De Fichier konnt net geluede ginn: %1",MathJaxNotSupported:"\u00C4re browser \u00EBnnerst\u00EBtzt MathJax net",MathError:"Math Feeler",Processing:"Verschaffen"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/lb.js");
+MathJax.Localization.addTranslation("lb",null,{menuTitle:"L\u00EBtzebuergesch",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{MathError:"Math Feeler",LoadFile:"%1 lueden",Loading:"Lueden",LoadFailed:"De Fichier konnt net geluede ginn: %1",Processing:"Verschaffen",MathJaxNotSupported:"\u00C4re browser \u00EBnnerst\u00EBtzt MathJax net"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/lb.js");
diff --git a/localization/mk/FontWarnings.js b/localization/mk/FontWarnings.js
index adbe7e497..eb1d97b49 100644
--- a/localization/mk/FontWarnings.js
+++ b/localization/mk/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.",imageFonts:"MathJax \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043D\u0435\u0433\u043E\u0432\u0438\u0442\u0435 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u043B\u043E\u043A\u0430\u043B\u043D\u0438 \u0438\u043B\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u043F\u0430\u043D\u0434\u0430\u043D\u0438. \u041E\u0432\u0438\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u043E\u0431\u0430\u0432\u043D\u043E \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u043E\u0433\u043E\u0434\u043D\u0438 \u0437\u0430 \u043F\u0435\u0447\u0430\u0442\u0435\u045A\u0435 \u043F\u0440\u0438 \u043F\u043E\u043B\u043D\u0430 \u0440\u0435\u0437\u043E\u043B\u0443\u0446\u0438\u0458\u0430 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0440.",noFonts:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0435 \u0444\u043E\u043D\u0442\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438, \u0430 \u043D\u0435 \u043C\u0443 \u0441\u0435 \u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438 \u043D\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0442\u043F\u0440\u0435 \u043D\u0430 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438\u0442\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0437\u043D\u0430\u0446\u0438, \u0441\u043E \u043D\u0430\u0434\u0435\u0436 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u045C\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043F\u0440\u0438\u043A\u0430\u0436\u0435. \u041D\u0435\u043A\u043E\u0438 \u0437\u043D\u0430\u0446\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u0442 \u043A\u0430\u043A\u043E \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0438\u043B\u0438 \u043F\u0430\u043A \u0432\u043E\u043E\u043F\u0448\u0442\u043E \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0458\u0430\u0432\u0430\u0442.",webFonts:"\u041D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043E\u0432\u043E\u0437\u043E\u043C\u043E\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0437\u0435\u043C\u0430\u045A\u0435 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0438\u043D\u0442\u0435\u0440\u043D\u0435\u0442. \u041A\u0432\u0430\u043B\u0438\u0442\u0435\u0442\u043E\u0442 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0434\u043E\u0431\u0440\u0438 \u0430\u043A\u043E \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043F\u043E\u043D\u043E\u0432\u0430 \u0432\u0435\u0440\u0437\u0438\u0458\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 (\u0438\u043B\u0438 \u043F\u0430\u043A \u0433\u043E \u0437\u0430\u043C\u0435\u043D\u0438\u0442\u0435 \u0441\u043E \u0434\u0440\u0443\u0433).",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438  [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1) \u0438\u043B\u0438 [\u043E\u043D\u0438\u0435 \u043D\u0430 MathJax TeX](%2). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u0458\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",STIXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u0458\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",TeXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 MathJax TeX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u0458\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/FontWarnings.js");
+MathJax.Localization.addTranslation("mk","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.",imageFonts:"MathJax \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043D\u0435\u0433\u043E\u0432\u0438\u0442\u0435 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u043B\u043E\u043A\u0430\u043B\u043D\u0438 \u0438\u043B\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u043F\u0430\u043D\u0434\u0430\u043D\u0438. \u041E\u0432\u0438\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u043E\u0431\u0430\u0432\u043D\u043E \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u043E\u0433\u043E\u0434\u043D\u0438 \u0437\u0430 \u043F\u0435\u0447\u0430\u0442\u0435\u045A\u0435 \u043F\u0440\u0438 \u043F\u043E\u043B\u043D\u0430 \u0440\u0430\u0437\u043B\u043E\u0436\u0435\u043D\u043E\u0441\u0442 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0440.",noFonts:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0435 \u0444\u043E\u043D\u0442\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438, \u0430 \u043D\u0435 \u043C\u0443 \u0441\u0435 \u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438 \u043D\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0442\u043F\u0440\u0435 \u043D\u0430 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438\u0442\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0437\u043D\u0430\u0446\u0438, \u0441\u043E \u043D\u0430\u0434\u0435\u0436 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u045C\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043F\u0440\u0438\u043A\u0430\u0436\u0435. \u041D\u0435\u043A\u043E\u0438 \u0437\u043D\u0430\u0446\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u0442 \u043A\u0430\u043A\u043E \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0438\u043B\u0438 \u043F\u0430\u043A \u0432\u043E\u043E\u043F\u0448\u0442\u043E \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0458\u0430\u0432\u0430\u0442.",webFonts:"\u041D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043E\u0432\u043E\u0437\u043E\u043C\u043E\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0437\u0435\u043C\u0430\u045A\u0435 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0441\u0435\u043C\u0440\u0435\u0436\u0458\u0435\u0442\u043E. \u041A\u0432\u0430\u043B\u0438\u0442\u0435\u0442\u043E\u0442 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0434\u043E\u0431\u0440\u0438 \u0430\u043A\u043E \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043F\u043E\u043D\u043E\u0432\u0430 \u0432\u0435\u0440\u0437\u0438\u0458\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 (\u0438\u043B\u0438 \u043F\u0430\u043A \u0433\u043E \u0437\u0430\u043C\u0435\u043D\u0438\u0442\u0435 \u0441\u043E \u0434\u0440\u0443\u0433).",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438  [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1) \u0438\u043B\u0438 [\u043E\u043D\u0438\u0435 \u043D\u0430 MathJax TeX](%2). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",STIXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",TeXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 MathJax TeX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/FontWarnings.js");
diff --git a/localization/mk/HTML-CSS.js b/localization/mk/HTML-CSS.js
index a1ba51ca4..8f654ea12 100644
--- a/localization/mk/HTML-CSS.js
+++ b/localization/mk/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",CantLoadWebFont:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u0432\u0447\u0438\u0442\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0432\u0447\u0438\u0442\u0430 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0434\u0430\u043B\u0435\u0447\u0438\u043D\u0441\u043A\u0438 \u0434\u043E\u043C\u0430\u045C\u0438\u043D",CantFindFontUsing:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u043F\u0440\u0438\u043A\u043B\u0430\u0434\u0435\u043D \u0444\u043E\u043D\u0442 \u0448\u0442\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438 %1",WebFontsNotAvailable:"\u041C\u0440\u0435\u0436\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0441\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438. \u040C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043C \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HTML-CSS.js");
+MathJax.Localization.addTranslation("mk","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",CantLoadWebFont:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u0432\u0447\u0438\u0442\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0432\u0447\u0438\u0442\u0430 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0434\u0430\u043B\u0435\u0447\u0438\u043D\u0441\u043A\u0438 \u0434\u043E\u043C\u0430\u045C\u0438\u043D",CantFindFontUsing:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u043F\u0440\u0438\u043A\u043B\u0430\u0434\u0435\u043D \u0444\u043E\u043D\u0442 \u0448\u0442\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438 %1",WebFontsNotAvailable:"\u041C\u0440\u0435\u0436\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0441\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438. \u040C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043C \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HTML-CSS.js");
diff --git a/localization/mk/HelpDialog.js b/localization/mk/HelpDialog.js
index 1f4ea21cb..1bd8ee74c 100644
--- a/localization/mk/HelpDialog.js
+++ b/localization/mk/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",MathJax:"*MathJax* \u0435 JavaScript-\u0431\u0438\u0431\u043B\u0438\u043E\u0442\u043A\u0430 \u0448\u0442\u043E \u0438\u043C \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u043D\u0430 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435 \u0434\u0430 \u0441\u0442\u0430\u0432\u0430\u0430\u0442 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u043C\u0440\u0435\u0436\u043D\u0438 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438. \u041A\u0430\u043A\u043E \u0447\u0438\u0442\u0430\u0442\u0435\u043B \u043D\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u043F\u0440\u0430\u0432\u0438\u0442\u0435 \u043D\u0438\u0448\u0442\u043E, \u0431\u0438\u0434\u0435\u0458\u045C\u0438 \u0442\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435 \u045C\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442.",Browsers:"*\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438*: MathJax \u0440\u0430\u0431\u043E\u0442\u0438 \u043D\u0430 \u0441\u0438\u0442\u0435 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043A\u0430\u043A\u043E IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0438 \u043D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u043C\u043E\u0431\u0438\u043B\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u043E \u043C\u0435\u043D\u0438*: MathJax \u0441\u0442\u0430\u0432\u0430 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438 \u0432\u043E \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435. \u0414\u043E \u043D\u0435\u0433\u043E \u0441\u0435 \u0434\u043E\u0430\u0453\u0430 \u0441\u043E \u0434\u0435\u0441\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442 (\u0438\u043B\u0438 Ctrl-\u0441\u0442\u0438\u0441\u043E\u043A) \u043D\u0430 \u0431\u0438\u043B\u043E \u043A\u043E\u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430.",ShowMath:"*\u041F\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E* \u0432\u0438 \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u043E\u0440\u043D\u0438\u043E\u0442 \u043A\u043E\u0434 \u043D\u0430 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0442\u0430 \u0438 \u0434\u0430 \u0433\u043E \u043F\u0440\u0435\u043A\u043E\u043F\u0438\u0440\u0430\u0442\u0435 (\u043A\u0430\u043A\u043E MathML \u0438\u043B\u0438 \u0432\u043E \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u0444\u043E\u0440\u043C\u0430\u0442).",Settings:"*\u041F\u043E\u0441\u0442\u0430\u0432\u043A\u0438* \u0432\u0438 \u0434\u0430\u0432\u0430\u0430\u0442 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0430 \u0432\u0440\u0437 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043D\u0430 MathJax \u043A\u0430\u043A\u043E \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u043E\u0442 \u0438\u0441\u043F\u0438\u0441 \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 (\u0438\u0441\u043F\u0438\u0441) \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435.",Language:"*\u0408\u0430\u0437\u0438\u043A* \u0432\u0438 \u0434\u0430\u0432\u0430 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u0442\u0435 \u0458\u0430\u0437\u0438\u043A \u043D\u0430 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043F\u0440\u0435\u0434\u0443\u043F\u0440\u0435\u0434\u0443\u0432\u0430\u0447\u043A\u0438\u0442\u0435 \u043F\u043E\u0440\u0430\u043A\u0438 \u043D\u0430 MathJax.",Zoom:"*\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442*: \u0410\u043A\u043E \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u0432\u0438 \u0435 \u0441\u0438\u0442\u0435\u043D \u0437\u0430 \u0447\u0438\u0442\u0430\u045A\u0435, MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438 \u0437\u0430 \u0434\u0430 \u0432\u0438 \u0431\u0438\u0434\u0435 \u043F\u043E\u0447\u0438\u0442\u043B\u0438\u0432.",Accessibilty:"*\u041F\u043E\u0442\u0435\u0448\u043A\u043E\u0442\u0438\u0438 \u0441\u043E \u0432\u0438\u0434\u043E\u0442*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E \u0435\u043A\u0440\u0430\u043D\u0441\u043A\u0438\u0442\u0435 \u0447\u0438\u0442\u0430\u0447\u0438 \u0437\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438\u0442\u0435 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u0458\u0430\u0441\u043D\u0438 \u0437\u0430 \u043B\u0438\u0446\u0430\u0442\u0430 \u0441\u043E \u0445\u0435\u043D\u0434\u0438\u043A\u0435\u043F\u0438\u0440\u0430\u043D \u0432\u0438\u0434.",Fonts:"*\u0424\u043E\u043D\u0442\u043E\u0432\u0438*: MathJax \u045C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0441\u0435 \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u043D\u0438 \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447. \u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E \u045C\u0435 \u0441\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0442 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0442\u0430\u0430 \u043D\u0430\u043C\u0435\u043D\u0430. \u0418\u0430\u043A\u043E \u043D\u0435 \u0441\u0435 \u0437\u0430\u0434\u043E\u043B\u0436\u0438\u0442\u0435\u043B\u043D\u0438, \u043B\u043E\u043A\u0430\u043B\u043D\u043E \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0433\u043E \u0443\u0431\u0440\u0437\u0443\u0432\u0430\u0430\u0442 \u0438\u0441\u043F\u0438\u0441\u043E\u0442. \u0412\u0438 \u043F\u0440\u0435\u0434\u043B\u0430\u0433\u0430\u043C\u0435 \u0434\u0430 \u0433\u0438 \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u0442\u0435 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HelpDialog.js");
+MathJax.Localization.addTranslation("mk","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",MathJax:"*MathJax* \u0435 JavaScript-\u0431\u0438\u0431\u043B\u0438\u043E\u0442\u043A\u0430 \u0448\u0442\u043E \u0438\u043C \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u043D\u0430 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435 \u0434\u0430 \u0441\u0442\u0430\u0432\u0430\u0430\u0442 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u0441\u0435\u043C\u0440\u0435\u0436\u043D\u0438 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438. \u041A\u0430\u043A\u043E \u0447\u0438\u0442\u0430\u0442\u0435\u043B \u043D\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u043F\u0440\u0430\u0432\u0438\u0442\u0435 \u043D\u0438\u0448\u0442\u043E, \u0431\u0438\u0434\u0435\u0458\u045C\u0438 \u0442\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435 \u045C\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442.",Browsers:"*\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438*: MathJax \u0440\u0430\u0431\u043E\u0442\u0438 \u043D\u0430 \u0441\u0438\u0442\u0435 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043A\u0430\u043A\u043E IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0438 \u043D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u043C\u043E\u0431\u0438\u043B\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u043E \u043C\u0435\u043D\u0438*: MathJax \u0441\u0442\u0430\u0432\u0430 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438 \u0432\u043E \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435. \u0414\u043E \u043D\u0435\u0433\u043E \u0441\u0435 \u0434\u043E\u0430\u0453\u0430 \u0441\u043E \u0434\u0435\u0441\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442 (\u0438\u043B\u0438 Ctrl-\u0441\u0442\u0438\u0441\u043E\u043A) \u043D\u0430 \u0431\u0438\u043B\u043E \u043A\u043E\u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430.",ShowMath:"*\u041F\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E* \u0432\u0438 \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u043E\u0440\u043D\u0438\u043E\u0442 \u043A\u043E\u0434 \u043D\u0430 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0442\u0430 \u0438 \u0434\u0430 \u0433\u043E \u043F\u0440\u0435\u043A\u043E\u043F\u0438\u0440\u0430\u0442\u0435 (\u043A\u0430\u043A\u043E MathML \u0438\u043B\u0438 \u0432\u043E \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u0444\u043E\u0440\u043C\u0430\u0442).",Settings:"*\u041F\u043E\u0441\u0442\u0430\u0432\u043A\u0438* \u0432\u0438 \u0434\u0430\u0432\u0430\u0430\u0442 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0430 \u0432\u0440\u0437 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043D\u0430 MathJax \u043A\u0430\u043A\u043E \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u043E\u0442 \u0438\u0441\u043F\u0438\u0441 \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 (\u0438\u0441\u043F\u0438\u0441) \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435.",Language:"*\u0408\u0430\u0437\u0438\u043A* \u0432\u0438 \u0434\u0430\u0432\u0430 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u0442\u0435 \u0458\u0430\u0437\u0438\u043A \u043D\u0430 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043F\u0440\u0435\u0434\u0443\u043F\u0440\u0435\u0434\u0443\u0432\u0430\u0447\u043A\u0438\u0442\u0435 \u043F\u043E\u0440\u0430\u043A\u0438 \u043D\u0430 MathJax.",Zoom:"*\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442*: \u0410\u043A\u043E \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u0432\u0438 \u0435 \u0441\u0438\u0442\u0435\u043D \u0437\u0430 \u0447\u0438\u0442\u0430\u045A\u0435, MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438 \u0437\u0430 \u0434\u0430 \u0432\u0438 \u0431\u0438\u0434\u0435 \u043F\u043E\u0447\u0438\u0442\u043B\u0438\u0432.",Accessibilty:"*\u041F\u043E\u0442\u0435\u0448\u043A\u043E\u0442\u0438\u0438 \u0441\u043E \u0432\u0438\u0434\u043E\u0442*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E \u0435\u043A\u0440\u0430\u043D\u0441\u043A\u0438\u0442\u0435 \u0447\u0438\u0442\u0430\u0447\u0438 \u0437\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438\u0442\u0435 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u0458\u0430\u0441\u043D\u0438 \u0437\u0430 \u043B\u0438\u0446\u0430\u0442\u0430 \u0441\u043E \u0445\u0435\u043D\u0434\u0438\u043A\u0435\u043F\u0438\u0440\u0430\u043D \u0432\u0438\u0434.",Fonts:"*\u0424\u043E\u043D\u0442\u043E\u0432\u0438*: MathJax \u045C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0441\u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447. \u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E \u045C\u0435 \u0441\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0442 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0442\u0430\u0430 \u043D\u0430\u043C\u0435\u043D\u0430. \u0418\u0430\u043A\u043E \u043D\u0435 \u0441\u0435 \u0437\u0430\u0434\u043E\u043B\u0436\u0438\u0442\u0435\u043B\u043D\u0438, \u043B\u043E\u043A\u0430\u043B\u043D\u043E \u0432\u043E\u0441\u0442\u0430\u043D\u043E\u0432\u0435\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0433\u043E \u0437\u0430\u0431\u0440\u0437\u0443\u0432\u0430\u0430\u0442 \u0438\u0441\u043F\u0438\u0441\u043E\u0442. \u0412\u0438 \u043F\u0440\u0435\u0434\u043B\u0430\u0433\u0430\u043C\u0435 \u0434\u0430 \u0433\u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HelpDialog.js");
diff --git a/localization/mk/MathML.js b/localization/mk/MathML.js
index 8819638e4..691601181 100644
--- a/localization/mk/MathML.js
+++ b/localization/mk/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1",BadMglyphFont:"\u0413\u0440\u0435\u0448\u0435\u043D \u0444\u043E\u043D\u0442: %1",MathPlayer:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438 MathPlayer.\n\n\u0414\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0432\u0438 \u0435 \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u043D MathPlayer, \u045C\u0435 \u0442\u0440\u0435\u0431\u0430 \u043F\u0440\u0432\u043E \u0434\u0430 \u0433\u043E \u0438\u043D\u0441\u0442\u0430\u043B\u0438\u0440\u0430\u0442\u0435.\n\u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E, \u043E\u0432\u0430 \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u0442\u0435 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0458\u0430 \u0441\u043F\u0440\u0435\u0447\u0443\u0432\u0430\u0430\u0442 \u0440\u0430\u0431\u043E\u0442\u0430\u0442\u0430 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438\u0442\u0435 \u0432\u043E ActiveX. \u041F\u043E\u0458\u0434\u0435\u0442\u0435 \u0432\u043E \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438\u0442\u0435 \u043D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 \u0438 \u0441\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u043E (Custom Level). \u0422\u0430\u043C\u0443 \u043F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0432\u0438 \u0441\u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0438 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u0437\u0430 \u0440\u0430\u0431\u043E\u0442\u0430 \u0441\u043E ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0438 \u0411\u0438\u043D\u0430\u0440\u043D\u0438 \u0438 \u0441\u043A\u0440\u0438\u043F\u0442\u043D\u0438 \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0458\u0430.\n\n\u0417\u0430\u0441\u0435\u0433\u0430 \u045C\u0435 \u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0430 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u0438\u0441\u043F\u0438\u0448\u0430\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438.",CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u043E\u0437\u0434\u0430\u0434\u0435 XML-\u043F\u0430\u0440\u0441\u0435\u0440 \u0437\u0430 MathML. \u041F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0430 \u0441\u0438\u0433\u0443\u0440\u043D\u043E\u0441\u043D\u0430\u0442\u0430 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0430 ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u0438 \u0437\u0430 \u0441\u043A\u0440\u0438\u043F\u0442\u0438\u0440\u0430\u045A\u0435 (\u0432\u043E \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u0438\u043E\u0442 \u0434\u0435\u043B (Custom Level) \u043D\u0430 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442).\n\nMathJax \u043D\u0435\u043C\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathML.",UnknownNodeType:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0442\u0438\u043F \u043D\u0430 \u0458\u0430\u0437\u043E\u043B: %1",UnexpectedTextNode:"\u041D\u0435\u043E\u0447\u0435\u043A\u0443\u0432\u0430\u043D \u0458\u0430\u0437\u043E\u043B \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442: %1",ErrorParsingMathML:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u043F\u0430\u0440\u0441\u0438\u0440\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML",ParsingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u043F\u0430\u0440\u0441\u0438\u0440\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML: %1",MathMLSingleElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u043E\u0434 \u0435\u0434\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",MathMLRootElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u0441\u043E \u0435\u043B\u0435\u043C\u0435\u043D\u0442 \u003Cmath\u003E, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathML.js");
+MathJax.Localization.addTranslation("mk","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1",BadMglyphFont:"\u0413\u0440\u0435\u0448\u0435\u043D \u0444\u043E\u043D\u0442: %1",MathPlayer:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438 MathPlayer.\n\n\u0414\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0432\u0438 \u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D MathPlayer, \u045C\u0435 \u0442\u0440\u0435\u0431\u0430 \u043F\u0440\u0432\u043E \u0434\u0430 \u0433\u043E \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435.\n\u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E, \u043E\u0432\u0430 \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u0442\u0435 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0458\u0430 \u0441\u043F\u0440\u0435\u0447\u0443\u0432\u0430\u0430\u0442 \u0440\u0430\u0431\u043E\u0442\u0430\u0442\u0430 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438\u0442\u0435 \u0432\u043E ActiveX. \u041F\u043E\u0458\u0434\u0435\u0442\u0435 \u0432\u043E \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438\u0442\u0435 \u043D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 \u0438 \u0441\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u043E (Custom Level). \u0422\u0430\u043C\u0443 \u043F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0432\u0438 \u0441\u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0438 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u0437\u0430 \u0440\u0430\u0431\u043E\u0442\u0430 \u0441\u043E ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0438 \u0411\u0438\u043D\u0430\u0440\u043D\u0438 \u0438 \u0441\u043A\u0440\u0438\u043F\u0442\u043D\u0438 \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0458\u0430.\n\n\u0417\u0430\u0441\u0435\u0433\u0430 \u045C\u0435 \u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0430 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u0438\u0441\u043F\u0438\u0448\u0430\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438.",CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u043E\u0437\u0434\u0430\u0434\u0435 XML-\u043F\u0430\u0440\u0441\u0435\u0440 \u0437\u0430 MathML. \u041F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0430 \u0441\u0438\u0433\u0443\u0440\u043D\u043E\u0441\u043D\u0430\u0442\u0430 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0430 ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u0438 \u0437\u0430 \u0441\u043A\u0440\u0438\u043F\u0442\u0438\u0440\u0430\u045A\u0435 (\u0432\u043E \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u0438\u043E\u0442 \u0434\u0435\u043B (Custom Level) \u043D\u0430 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442).\n\nMathJax \u043D\u0435\u043C\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathML.",UnknownNodeType:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0442\u0438\u043F \u043D\u0430 \u0458\u0430\u0437\u043E\u043B: %1",UnexpectedTextNode:"\u041D\u0435\u043E\u0447\u0435\u043A\u0443\u0432\u0430\u043D \u0458\u0430\u0437\u043E\u043B \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442: %1",ErrorParsingMathML:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML",ParsingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML: %1",MathMLSingleElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u043E\u0434 \u0435\u0434\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",MathMLRootElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u0441\u043E \u0435\u043B\u0435\u043C\u0435\u043D\u0442 \u003Cmath\u003E, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathML.js");
diff --git a/localization/mk/MathMenu.js b/localization/mk/MathMenu.js
index 3dc8dfd1d..2c26c4191 100644
--- a/localization/mk/MathMenu.js
+++ b/localization/mk/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E",MathMLcode:"MathML-\u043A\u043E\u0434",OriginalMathML:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D MathML",TeXCommands:"TeX-\u043D\u0430\u0440\u0435\u0434\u0431\u0438",AsciiMathInput:"AsciiMathML-\u0432\u043D\u043E\u0441",Original:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A",ErrorMessage:"\u0418\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u041F\u0440\u0438\u0431\u0435\u043B\u0435\u0448\u043A\u0438",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043E\u0434\u0440\u0436\u0438\u043D\u0441\u043A\u0438 MathML",OpenMath:"OpenMath",texHints:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0458 \u043F\u043E\u043C\u043E\u0448\u043D\u0438 \u043F\u0440\u0435\u0434\u043B\u043E\u0437\u0438 \u043E\u0434 TeX \u0432\u043E MathML",Settings:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438",ZoomTrigger:"\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Hover:"\u0421\u0442\u0440\u0435\u043B\u043A\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Click:"\u0421\u0442\u0438\u0441\u043E\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A",NoZoom:"\u0411\u0435\u0437 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",TriggerRequires:"\u0417\u0430 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442:",Option:"\u041C\u043E\u0436\u043D\u043E\u0441\u0442",Alt:"Alt",Command:"\u2318",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0424\u0430\u043A\u0442\u043E\u0440 \u043D\u0430 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Renderer:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447",MPHandles:"\u041D\u0435\u043A\u0430 MathPlayer \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E:",MenuEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E",MouseEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",MenuAndMouse:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",FontPrefs:"\u041D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0442",ForHTMLCSS:"\u0417\u0430 HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u043D\u043E)",TeXWeb:"TeX (\u043C\u0440\u0435\u0436\u043D\u043E)",TeXImage:"TeX (\u0441\u043B\u0438\u043A\u0430)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u043D\u043E)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438",Browser:"\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447",Scale:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430 \u0458\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0432\u043E \u0440\u0430\u0437\u043C\u0435\u0440...",Discoverable:"\u0418\u0441\u0442\u0430\u043A\u043D\u0443\u0432\u0430\u0458 (\u043F\u043E\u0442\u0446\u0440\u0442\u0443\u0432\u0430\u0458) \u043F\u0440\u0438 \u043E\u0434\u0435\u045A\u0435 \u0441\u043E \u0441\u0442\u0440\u0435\u043B\u043A\u0430\u0442\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Locale:"\u0408\u0430\u0437\u0438\u043A",LoadLocale:"\u0412\u0447\u0438\u0442\u0430\u0458 \u043E\u0434 URL ...",About:"\u0417\u0430 MathJax",Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",localTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",imagefonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",localSTIXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043B\u043E\u043A\u0430\u043B\u043D\u0438 STIX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webSVGfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",genericfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",wofforotffonts:"WOFF- \u0438\u043B\u0438 OTF-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",eotffonts:"EOT-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",svgfonts:"SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",WebkitNativeMMLWarning:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435\u043C\u0430 \u0432\u0433\u0440\u0430\u0434\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0430\u043A\u043E \u0441\u0435 \u043F\u0440\u0435\u0444\u0440\u043B\u0438\u0442\u0435 \u043D\u0430 \u043D\u0435\u0433\u043E, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0430\u0442 \u0434\u0430 \u0441\u0442\u0430\u043D\u0430\u0442 \u043D\u0435\u0447\u0438\u0442\u043B\u0438\u0432\u0438.",MSIENativeMMLWarning:"Internet Explorer \u0433\u043E \u0431\u0430\u0440\u0430 \u0434\u043E\u0434\u0430\u0442\u043E\u043A\u043E\u0442 MathPlayer \u0437\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E MathML.",OperaNativeMMLWarning:"Opera \u0438\u043C\u0430 \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",SafariNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",FirefoxNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",MSIESVGWarning:"Internet Explorer \u043D\u0435\u043C\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 SVG \u0432\u043E \u0432\u0435\u0440\u0437\u0438\u0438\u0442\u0435 \u043F\u0440\u0435\u0434 IE9 \u0438\u043B\u0438 \u043A\u043E\u0433\u0430 \u0435\u043C\u0443\u043B\u0438\u0440\u0430 IE8 \u0438\u043B\u0438 \u043F\u043E\u0441\u0442\u0430\u0440\u0438 \u0432\u0435\u0440\u0437\u0438\u0438. \u0417\u0430\u0442\u043E\u0430, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E.",LoadURL:"\u0412\u0447\u0438\u0442\u0430\u0458 \u0433\u0438 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 \u0441\u043B\u0435\u0434\u043D\u0430\u0432\u0430 URL:",BadURL:"URL-\u0430\u0434\u0440\u0435\u0441\u0430\u0442\u0430 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430 \u0441\u043E JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0448\u0442\u043E \u0433\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0437\u0430 MathJax. JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0438\u0442\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0437\u0430\u0432\u0440\u0448\u0443\u0432\u0430\u0430\u0442 \u0441\u043E \u043D\u0430\u0441\u0442\u0430\u0432\u043A\u0430\u0442\u0430 \u201E.js\u201C",BadData:"\u041D\u0435 \u0443\u0441\u043F\u0435\u0430\u0432 \u0434\u0430 \u0433\u0438 \u0432\u0447\u0438\u0442\u0430\u043C \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 %1",SwitchAnyway:"\u0421\u0435\u043F\u0430\u043A \u0434\u0430 \u0433\u043E \u0441\u043C\u0435\u043D\u0430\u043C \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447\u043E\u0442?\n\n(\u041E\u041A \u0437\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043C\u0435\u043D\u0438 \u0438\u043B\u0438 \u041E\u0422\u041A\u0410\u0416\u0418 \u0437\u0430 \u0434\u0430 \u043F\u0440\u043E\u0434\u043E\u043B\u0436\u0438\u0442\u0435 \u0441\u043E \u043F\u043E\u0441\u0442\u043E\u0435\u0447\u043A\u0438\u043E\u0442)",ScaleMath:"\u0420\u0430\u0437\u043C\u0435\u0440 \u043D\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 (\u0432\u043E \u043E\u0434\u043D\u043E\u0441 \u043D\u0430 \u043E\u043A\u043E\u043B\u043D\u0438\u043E\u0442 \u0442\u0435\u043A\u0441\u0442, \u043A\u0430\u043A\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A):",NonZeroScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043D\u0443\u043B\u0430",PercentScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0435 \u0438\u0437\u0440\u0430\u0437\u0435\u043D \u0432\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A (\u043D\u0430 \u043F\u0440. 120%%)",IE8warning:"\u0421\u043E \u043E\u0432\u0430 \u045C\u0435 \u0433\u0438 \u0438\u0441\u043A\u043B\u0443\u0447\u0438\u0442\u0435 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043E\u0434 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043C\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u0432\u043E MathJax, \u043D\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u0441\u043E Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u043D\u0435\u043A\u043E\u0458 \u0438\u0437\u0440\u0430\u0437.\n\n\u041D\u0430\u0432\u0438\u0441\u0442\u0438\u043D\u0430 \u0434\u0430 \u0433\u0438 \u0438\u0437\u043C\u0435\u0430\u043C \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438\u0442\u0435 \u043D\u0430 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0442\u043E \u043C\u0435\u043D\u0438 \u043D\u0430 MathJax \u045C\u0435 \u0431\u0438\u0434\u0435 \u0438\u0441\u043A\u043B\u0443\u0447\u0435\u043D\u043E, \u043D\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u043D\u0430\u043F\u0440\u0430\u0432\u0438\u0442\u0435 Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u0438\u0437\u0440\u0430\u0437\u043E\u0442 \u0437\u0430 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u043C\u0435\u043D\u0438\u0442\u043E.",NoOriginalForm:"\u041D\u0435\u043C\u0430 \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A \u043D\u0430 \u0440\u0430\u0441\u043F\u043E\u043B\u0430\u0433\u0430\u045A\u0435",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438",EqSource:"\u0418\u0437\u0432\u043E\u0440 \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathMenu.js");
+MathJax.Localization.addTranslation("mk","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E",MathMLcode:"MathML-\u043A\u043E\u0434",OriginalMathML:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D MathML",TeXCommands:"TeX-\u043D\u0430\u0440\u0435\u0434\u0431\u0438",AsciiMathInput:"AsciiMathML-\u0432\u043D\u043E\u0441",Original:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A",ErrorMessage:"\u0418\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u041F\u0440\u0438\u0431\u0435\u043B\u0435\u0448\u043A\u0438",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043E\u0434\u0440\u0436\u0438\u043D\u0441\u043A\u0438 MathML",OpenMath:"OpenMath",texHints:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0458 \u043F\u043E\u043C\u043E\u0448\u043D\u0438 \u043F\u0440\u0435\u0434\u043B\u043E\u0437\u0438 \u043E\u0434 TeX \u0432\u043E MathML",Settings:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438",ZoomTrigger:"\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Hover:"\u0421\u0442\u0440\u0435\u043B\u043A\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Click:"\u0421\u0442\u0438\u0441\u043E\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A",NoZoom:"\u0411\u0435\u0437 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",TriggerRequires:"\u0417\u0430 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442:",Option:"\u041C\u043E\u0436\u043D\u043E\u0441\u0442",Alt:"Alt",Command:"\u2318",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0424\u0430\u043A\u0442\u043E\u0440 \u043D\u0430 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Renderer:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447",MPHandles:"\u041D\u0435\u043A\u0430 MathPlayer \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E:",MenuEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E",MouseEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",MenuAndMouse:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",FontPrefs:"\u041D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0442",ForHTMLCSS:"\u0417\u0430 HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u043D\u043E)",TeXWeb:"TeX (\u043C\u0440\u0435\u0436\u043D\u043E)",TeXImage:"TeX (\u0441\u043B\u0438\u043A\u0430)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u043D\u043E)",STIXWeb:"STIX (\u043C\u0440\u0435\u0436\u043D\u043E)",AsanaMathWeb:"Asana Math (\u043C\u0440\u0435\u0436\u043D\u043E)",GyrePagellaWeb:"Gyre Pagella (\u043C\u0440\u0435\u0436\u043D\u043E)",GyreTermesWeb:"Gyre Termes (\u043C\u0440\u0435\u0436\u043D\u043E)",LatinModernWeb:"Latin Modern (\u043C\u0440\u0435\u0436\u043D\u043E)",NeoEulerWeb:"Neo Euler (\u043C\u0440\u0435\u0436\u043D\u043E)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438",Browser:"\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447",Scale:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430 \u0458\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0432\u043E \u0440\u0430\u0437\u043C\u0435\u0440...",Discoverable:"\u0418\u0441\u0442\u0430\u043A\u043D\u0443\u0432\u0430\u0458 (\u043F\u043E\u0442\u0446\u0440\u0442\u0443\u0432\u0430\u0458) \u043F\u0440\u0438 \u043E\u0434\u0435\u045A\u0435 \u0441\u043E \u0441\u0442\u0440\u0435\u043B\u043A\u0430\u0442\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Locale:"\u0408\u0430\u0437\u0438\u043A",LoadLocale:"\u0412\u0447\u0438\u0442\u0430\u0458 \u043E\u0434 URL ...",About:"\u0417\u0430 MathJax",Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",localTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",imagefonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",localSTIXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043B\u043E\u043A\u0430\u043B\u043D\u0438 STIX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webSVGfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",genericfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",wofforotffonts:"WOFF- \u0438\u043B\u0438 OTF-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",eotffonts:"EOT-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",svgfonts:"SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",WebkitNativeMMLWarning:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435\u043C\u0430 \u0432\u0433\u0440\u0430\u0434\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0430\u043A\u043E \u0441\u0435 \u043F\u0440\u0435\u0444\u0440\u043B\u0438\u0442\u0435 \u043D\u0430 \u043D\u0435\u0433\u043E, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0430\u0442 \u0434\u0430 \u0441\u0442\u0430\u043D\u0430\u0442 \u043D\u0435\u0447\u0438\u0442\u043B\u0438\u0432\u0438.",MSIENativeMMLWarning:"Internet Explorer \u0433\u043E \u0431\u0430\u0440\u0430 \u0434\u043E\u0434\u0430\u0442\u043E\u043A\u043E\u0442 MathPlayer \u0437\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E MathML.",OperaNativeMMLWarning:"Opera \u0438\u043C\u0430 \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",SafariNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",FirefoxNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",MSIESVGWarning:"Internet Explorer \u043D\u0435\u043C\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 SVG \u0432\u043E \u0432\u0435\u0440\u0437\u0438\u0438\u0442\u0435 \u043F\u0440\u0435\u0434 IE9 \u0438\u043B\u0438 \u043A\u043E\u0433\u0430 \u0435\u043C\u0443\u043B\u0438\u0440\u0430 IE8 \u0438\u043B\u0438 \u043F\u043E\u0441\u0442\u0430\u0440\u0438 \u0432\u0435\u0440\u0437\u0438\u0438. \u0417\u0430\u0442\u043E\u0430, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E.",LoadURL:"\u0412\u0447\u0438\u0442\u0430\u0458 \u0433\u0438 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 \u0441\u043B\u0435\u0434\u043D\u0430\u0432\u0430 URL:",BadURL:"URL-\u0430\u0434\u0440\u0435\u0441\u0430\u0442\u0430 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430 \u0441\u043E JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0448\u0442\u043E \u0433\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0437\u0430 MathJax. JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0438\u0442\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0437\u0430\u0432\u0440\u0448\u0443\u0432\u0430\u0430\u0442 \u0441\u043E \u043D\u0430\u0441\u0442\u0430\u0432\u043A\u0430\u0442\u0430 \u201E.js\u201C",BadData:"\u041D\u0435 \u0443\u0441\u043F\u0435\u0430\u0432 \u0434\u0430 \u0433\u0438 \u0432\u0447\u0438\u0442\u0430\u043C \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 %1",SwitchAnyway:"\u0421\u0435\u043F\u0430\u043A \u0434\u0430 \u0433\u043E \u0441\u043C\u0435\u043D\u0430\u043C \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447\u043E\u0442?\n\n(\u041E\u041A \u0437\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043C\u0435\u043D\u0438 \u0438\u043B\u0438 \u041E\u0422\u041A\u0410\u0416\u0418 \u0437\u0430 \u0434\u0430 \u043F\u0440\u043E\u0434\u043E\u043B\u0436\u0438\u0442\u0435 \u0441\u043E \u043F\u043E\u0441\u0442\u043E\u0435\u0447\u043A\u0438\u043E\u0442)",ScaleMath:"\u0420\u0430\u0437\u043C\u0435\u0440 \u043D\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 (\u0432\u043E \u043E\u0434\u043D\u043E\u0441 \u043D\u0430 \u043E\u043A\u043E\u043B\u043D\u0438\u043E\u0442 \u0442\u0435\u043A\u0441\u0442, \u043A\u0430\u043A\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A):",NonZeroScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043D\u0443\u043B\u0430",PercentScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0435 \u0438\u0437\u0440\u0430\u0437\u0435\u043D \u0432\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A (\u043D\u0430 \u043F\u0440. 120%%)",IE8warning:"\u0421\u043E \u043E\u0432\u0430 \u045C\u0435 \u0433\u0438 \u0438\u0441\u043A\u043B\u0443\u0447\u0438\u0442\u0435 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043E\u0434 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043C\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u0432\u043E MathJax, \u043D\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u0441\u043E Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u043D\u0435\u043A\u043E\u0458 \u0438\u0437\u0440\u0430\u0437.\n\n\u041D\u0430\u0432\u0438\u0441\u0442\u0438\u043D\u0430 \u0434\u0430 \u0433\u0438 \u0438\u0437\u043C\u0435\u0430\u043C \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438\u0442\u0435 \u043D\u0430 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0442\u043E \u043C\u0435\u043D\u0438 \u043D\u0430 MathJax \u045C\u0435 \u0431\u0438\u0434\u0435 \u0438\u0441\u043A\u043B\u0443\u0447\u0435\u043D\u043E, \u043D\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u043D\u0430\u043F\u0440\u0430\u0432\u0438\u0442\u0435 Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u0438\u0437\u0440\u0430\u0437\u043E\u0442 \u0437\u0430 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u043C\u0435\u043D\u0438\u0442\u043E.",NoOriginalForm:"\u041D\u0435\u043C\u0430 \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A \u043D\u0430 \u0440\u0430\u0441\u043F\u043E\u043B\u0430\u0433\u0430\u045A\u0435",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438",EqSource:"\u0418\u0437\u0432\u043E\u0440 \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathMenu.js");
diff --git a/localization/mk/TeX.js b/localization/mk/TeX.js
index 000a8dea4..a30f21daa 100644
--- a/localization/mk/TeX.js
+++ b/localization/mk/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430",MissingLeftExtraRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\right\u201C",MissingScript:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043B\u0438 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\right\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\left\u201C",Misplaced:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",AmbiguousUseOf:"\u041D\u0435\u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u0431\u0440\u0448\u0438 \u0441\u043E \\end{%2}",EnvMissingEnd:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043A\u0443\u0442\u0438\u0458\u043A\u0430 \u0437\u0430 %1",MissingCloseBrace:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430",UndefinedControlSequence:"\u041D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430 %1",DoubleExponent:"\u0414\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleExponentPrime:"\u041F\u0440\u0438\u043C\u043E\u0442 \u043F\u0440\u0430\u0432\u0438 \u0434\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043B\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438\u0442\u0435 \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440\u0441\u043A\u0438\u043E\u0442 \u0437\u043D\u0430\u043A \u201E#\u201C \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u201E\\right\u201C",MisplacedLimits:"%1 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0441\u0430\u043C\u043E \u0437\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u0441\u0430\u043C\u043E \u0432\u043E \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"%1 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0446\u0435\u043B \u0431\u0440\u043E\u0458",NotMathMLToken:"%1 \u043D\u0435 \u0435 \u0448\u0438\u0444\u0440\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 MathML-\u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u043F\u0440\u0438\u0437\u043D\u0430\u0435\u043D \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0437\u0430 %2",MaxMacroSub1:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u043E\u0442 \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0430\u0442\u0430?",MaxMacroSub2:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u043E\u0442 \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0430\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u0430 LaTeX-\u043E\u043A\u043E\u043B\u0438\u043D\u0430?",MissingArgFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u0435\u043D \u0437\u043D\u0430\u043A \u0437\u0430 \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442 \u043D\u0430 \u201E\\cases\u201C",BracketMustBeDimension:"\u0417\u0430\u0433\u0440\u0430\u0434\u0435\u043D\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430",InvalidEnv:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u201E%1\u201C",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430 \u201E%1\u201C",ExtraCloseLooking:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0432\u043E \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0432\u043E %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0435\u043D \u0438\u043B\u0438 \u043D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0438\u043B\u0438 \u043D\u0435\u0458\u0437\u0438\u043D\u0438 \u0435\u0434\u0438\u043D\u0438\u0446\u0438 \u0437\u0430 %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C %1 \u0437\u0430 %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430 \u043D\u0435 \u0435 \u0437\u0430\u0432\u0440\u0448\u0435\u043D\u0430 \u0432\u043E \u043F\u043E\u043B\u0435\u0442\u043E \u0437\u0430 \u0442\u0435\u043A\u0441\u0442",IllegalMacroParam:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440",MaxBufferSize:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442\u0430 \u0435 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u0432\u043D\u0430\u0442\u0440\u0435\u0448\u043D\u0438\u043E\u0442 \u043C\u0435\u0453\u0443\u0441\u043A\u043B\u0430\u0434 \u043D\u0430 MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043C\u0430\u043A\u0440\u043E\u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0432\u043E \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %2",MultipleLabel:"\u041D\u0430\u0442\u043F\u0438\u0441\u043E\u0442 \u201E%1\u201C \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",CommandAtTheBeginingOfLine:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0434\u043E\u0458\u0434\u0435 \u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043E\u043A\u043E\u0442 \u043E\u0434 \u0440\u0435\u0434\u043E\u0442",IllegalAlign:"\u0423\u043A\u0430\u0436\u0430\u043D\u043E \u0435 \u043D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D\u043E \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E %1",BadMathStyleFor:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u0442\u0438\u043B \u0437\u0430 %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0437\u0438\u0442\u0438\u0432\u0435\u043D \u0446\u0435\u043B \u0431\u0440\u043E\u0458",ErroneousNestingEq:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0432\u043C\u0435\u0442\u043D\u0430\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u0441\u043A\u0438 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u0438",MultlineRowsOneCol:"\u0420\u0435\u0434\u043E\u0432\u0438\u0442\u0435 \u0432\u043E \u0441\u043E\u0441\u0442\u0430\u0432 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u0442\u043E\u0447\u043D\u043E \u043F\u043E \u0435\u0434\u043D\u0430 \u043A\u043E\u043B\u043E\u043D\u0430",MultipleBBoxProperty:"%1 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D\u043E \u0434\u0432\u0430\u043F\u0430\u0442\u0438 \u0432\u043E %2",InvalidBBoxProperty:"\u201E%1\u201C \u043D\u0435 \u0435 \u0431\u043E\u0458\u0430, \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0437\u0430 \u0441\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u0438\u043B\u0438 \u0441\u0442\u0438\u043B",ExtraEndMissingBegin:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u043E %1 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u043E \u043E\u0434 \u201E\\let\u201C, \u201E\\def\u201C \u0438\u043B\u0438 \u201E\\newcommand\u201C",UndefinedColorModel:"\u0411\u043E\u0458\u043D\u0438\u043E\u0442 \u043C\u043E\u0434\u0435\u043B \u201E%1\u201C \u043D\u0435 \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D",ModelArg1:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u043F\u043E \u0442\u0440\u0438 \u0431\u0440\u043E\u0458\u043A\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0434\u0435\u0446\u0438\u043C\u0430\u043B\u0435\u043D \u0431\u0440\u043E\u0458",ModelArg2:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u043F\u043E\u043C\u0435\u0453\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0431\u0440\u043E\u0458",NewextarrowArg1:"\u041F\u0440\u0432\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0435\u043D\u0443\u0432\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043E\u0441\u0442\u043E\u0438 \u043E\u0434 \u0434\u0432\u0430 \u0446\u0435\u043B\u0438 \u0431\u0440\u043E\u0458\u0430 \u043E\u0434\u0434\u0435\u043B\u0435\u043D\u0438 \u0441\u043E \u0437\u0430\u043F\u0438\u0440\u043A\u0430",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u0435\u043D \u0431\u0440\u043E\u0435\u043D \u0437\u043D\u0430\u043A",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E %1",IllegalControlSequenceName:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430\u0442\u0430 \u043D\u0438\u0437\u0430 \u0437\u0430 %1",IllegalParamNumber:"\u041D\u0430 %1 \u043C\u0443 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D \u043D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438",MissingCS:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0435 \u043F\u0440\u043E\u0441\u043B\u0435\u0434\u0435\u043D \u043E\u0434 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u201E#\u201C \u0432\u043E \u0448\u0430\u0431\u043B\u043E\u043D\u043E\u0442 \u0437\u0430 %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0442\u0435 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043D\u0443\u043C\u0435\u0440\u0438\u0440\u0430\u043D\u0438 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E",MissingReplacementString:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u043C\u0435\u043D\u0430 \u0437\u0430 \u043D\u0438\u0437\u0430\u0442\u0430 \u0432\u043E \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E \u043D\u0430 %1",MismatchUseDef:"\u0423\u043F\u043E\u0442\u0440\u0435\u0431\u0430\u0442\u0430 \u043D\u0430 %1 \u043D\u0435 \u043E\u0434\u0433\u043E\u0432\u0430\u0440\u0430 \u043D\u0430 \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E",RunawayArgument:"\u041D\u0435\u0441\u043A\u043B\u0430\u0434\u0435\u043D \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1?",NoClosingDelim:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u0438\u043E\u0442 \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/TeX.js");
+MathJax.Localization.addTranslation("mk","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430",MissingLeftExtraRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\right\u201C",MissingScript:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043B\u0438 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\right\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\left\u201C",Misplaced:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",AmbiguousUseOf:"\u041D\u0435\u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u0431\u0440\u0448\u0438 \u0441\u043E \\end{%2}",EnvMissingEnd:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043A\u0443\u0442\u0438\u0458\u043A\u0430 \u0437\u0430 %1",MissingCloseBrace:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430",UndefinedControlSequence:"\u041D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430 %1",DoubleExponent:"\u0414\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleExponentPrime:"\u041F\u0440\u0438\u043C\u043E\u0442 \u043F\u0440\u0430\u0432\u0438 \u0434\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043B\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438\u0442\u0435 \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440\u0441\u043A\u0438\u043E\u0442 \u0437\u043D\u0430\u043A \u201E#\u201C \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u201E\\right\u201C",MisplacedLimits:"%1 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0441\u0430\u043C\u043E \u0437\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u0441\u0430\u043C\u043E \u0432\u043E \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"%1 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0446\u0435\u043B \u0431\u0440\u043E\u0458",NotMathMLToken:"%1 \u043D\u0435 \u0435 \u0448\u0438\u0444\u0440\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 MathML-\u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u043F\u0440\u0438\u0437\u043D\u0430\u0435\u043D \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0437\u0430 %2",MaxMacroSub1:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u043E\u0442 \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0430\u0442\u0430?",MaxMacroSub2:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u043E\u0442 \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0430\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u0430 LaTeX-\u043E\u043A\u043E\u043B\u0438\u043D\u0430?",MissingArgFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u0435\u043D \u0437\u043D\u0430\u043A \u0437\u0430 \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442 \u043D\u0430 \u201E\\cases\u201C",BracketMustBeDimension:"\u0417\u0430\u0433\u0440\u0430\u0434\u0435\u043D\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430",InvalidEnv:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u201E%1\u201C",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430 \u201E%1\u201C",ExtraCloseLooking:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0432\u043E \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0432\u043E %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0435\u043D \u0438\u043B\u0438 \u043D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0438\u043B\u0438 \u043D\u0435\u0458\u0437\u0438\u043D\u0438 \u0435\u0434\u0438\u043D\u0438\u0446\u0438 \u0437\u0430 %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C %1 \u0437\u0430 %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430 \u043D\u0435 \u0435 \u0437\u0430\u0432\u0440\u0448\u0435\u043D\u0430 \u0432\u043E \u043F\u043E\u043B\u0435\u0442\u043E \u0437\u0430 \u0442\u0435\u043A\u0441\u0442",IllegalMacroParam:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440",MaxBufferSize:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442\u0430 \u0435 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u0432\u043D\u0430\u0442\u0440\u0435\u0448\u043D\u0438\u043E\u0442 \u043C\u0435\u0453\u0443\u0441\u043A\u043B\u0430\u0434 \u043D\u0430 MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043C\u0430\u043A\u0440\u043E\u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0432\u043E \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %2",MultipleLabel:"\u041D\u0430\u0442\u043F\u0438\u0441\u043E\u0442 \u201E%1\u201C \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",CommandAtTheBeginingOfLine:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0434\u043E\u0458\u0434\u0435 \u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043E\u043A\u043E\u0442 \u043E\u0434 \u0440\u0435\u0434\u043E\u0442",IllegalAlign:"\u0423\u043A\u0430\u0436\u0430\u043D\u043E \u0435 \u043D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D\u043E \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E %1",BadMathStyleFor:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u0442\u0438\u043B \u0437\u0430 %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0437\u0438\u0442\u0438\u0432\u0435\u043D \u0446\u0435\u043B \u0431\u0440\u043E\u0458",ErroneousNestingEq:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0432\u043C\u0435\u0442\u043D\u0430\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u0441\u043A\u0438 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u0438",MultlineRowsOneCol:"\u0420\u0435\u0434\u043E\u0432\u0438\u0442\u0435 \u0432\u043E \u0441\u043E\u0441\u0442\u0430\u0432 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u0442\u043E\u0447\u043D\u043E \u043F\u043E \u0435\u0434\u043D\u0430 \u043A\u043E\u043B\u043E\u043D\u0430",MultipleBBoxProperty:"%1 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D\u043E \u0434\u0432\u0430\u043F\u0430\u0442\u0438 \u0432\u043E %2",InvalidBBoxProperty:"\u201E%1\u201C \u043D\u0435 \u0435 \u0431\u043E\u0458\u0430, \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0437\u0430 \u0441\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u0438\u043B\u0438 \u0441\u0442\u0438\u043B",ExtraEndMissingBegin:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u043E %1 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u043E \u043E\u0434 \u201E\\let\u201C, \u201E\\def\u201C \u0438\u043B\u0438 \u201E\\newcommand\u201C",UndefinedColorModel:"\u0411\u043E\u0458\u043D\u0438\u043E\u0442 \u043C\u043E\u0434\u0435\u043B \u201E%1\u201C \u043D\u0435 \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D",ModelArg1:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u043F\u043E \u0442\u0440\u0438 \u0431\u0440\u043E\u0458\u043A\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0434\u0435\u0446\u0438\u043C\u0430\u043B\u0435\u043D \u0431\u0440\u043E\u0458",ModelArg2:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u043F\u043E\u043C\u0435\u0453\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0431\u0440\u043E\u0458",NewextarrowArg1:"\u041F\u0440\u0432\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0435\u043D\u0443\u0432\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043E\u0441\u0442\u043E\u0438 \u043E\u0434 \u0434\u0432\u0430 \u0446\u0435\u043B\u0438 \u0431\u0440\u043E\u0458\u0430 \u043E\u0434\u0434\u0435\u043B\u0435\u043D\u0438 \u0441\u043E \u0437\u0430\u043F\u0438\u0440\u043A\u0430",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u0435\u043D \u0431\u0440\u043E\u0435\u043D \u0437\u043D\u0430\u043A",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E %1",IllegalControlSequenceName:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430\u0442\u0430 \u043D\u0438\u0437\u0430 \u0437\u0430 %1",IllegalParamNumber:"\u041D\u0430 %1 \u043C\u0443 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D \u043D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438",MissingCS:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0435 \u043F\u0440\u043E\u0441\u043B\u0435\u0434\u0435\u043D \u043E\u0434 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u201E#\u201C \u0432\u043E \u0448\u0430\u0431\u043B\u043E\u043D\u043E\u0442 \u0437\u0430 %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0442\u0435 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043D\u0443\u043C\u0435\u0440\u0438\u0440\u0430\u043D\u0438 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E",MissingReplacementString:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u043C\u0435\u043D\u0430 \u0437\u0430 \u043D\u0438\u0437\u0430\u0442\u0430 \u0432\u043E \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E \u043D\u0430 %1",MismatchUseDef:"\u0423\u043F\u043E\u0442\u0440\u0435\u0431\u0430\u0442\u0430 \u043D\u0430 %1 \u043D\u0435 \u043E\u0434\u0433\u043E\u0432\u0430\u0440\u0430 \u043D\u0430 \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E",RunawayArgument:"\u041D\u0435\u0441\u043A\u043B\u0430\u0434\u0435\u043D \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1?",NoClosingDelim:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u0438\u043E\u0442 \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/TeX.js");
diff --git a/localization/mk/mk.js b/localization/mk/mk.js
index 22470adcc..3bb19c5e8 100644
--- a/localization/mk/mk.js
+++ b/localization/mk/mk.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk",null,{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)",MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C %1",Loading:"\u0412\u0447\u0438\u0442\u0443\u0432\u0430\u043C",LoadFailed:"\u041F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430\u0442\u0430 \u043D\u0435 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u0443\u0432\u0430\u043C",TypesetMath:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442: %1%%",Typesetting:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u043C \u0438\u0441\u043F\u0438\u0441",MathJaxNotSupported:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u043E \u043F\u043E\u0434\u0434\u0440\u0436\u0443\u0432\u0430 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a!==11){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/mk.js");
+MathJax.Localization.addTranslation("mk",null,{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)",MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C %1",Loading:"\u0412\u0447\u0438\u0442\u0443\u0432\u0430\u043C",LoadFailed:"\u041F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430\u0442\u0430 \u043D\u0435 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u0443\u0432\u0430\u043C",TypesetMath:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442: %1%%",Typesetting:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u043C \u0438\u0441\u043F\u0438\u0441",MathJaxNotSupported:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u043E \u043F\u043E\u0434\u0434\u0440\u0436\u0443\u0432\u0430 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a!==11){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/mk.js");
diff --git a/localization/nl/FontWarnings.js b/localization/nl/FontWarnings.js
index 2f846b45f..c64ae5171 100644
--- a/localization/nl/FontWarnings.js
+++ b/localization/nl/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.",imageFonts:"MathJax gebruikt zijn beeld-lettertypes en niet zijn lokale of web-gebaseerde lettertypes. Dit zal een tragere weergave geven dan normaal en de wiskunde zal wellicht niet op de hoogste resolutie van uw printer afgedrukt worden.",noFonts:"MathJax is niet in staat een lettertype te vinden waarmee het zijn wiskunde kan weergeven, en beeld-lettertypes zijn niet beschikbaar, dus valt het nu terug op generieke Unicode karakters in de hoop dat uw browsers in staat zal zijn ze weer te geven. Sommige kararakter worden wellicht niet goed weergegeven en mogelijkerwijs helemaal niet.",webFonts:"De meeste moderne browsers kunnen lettertypes via het web downloaden. Updaten naar een recentere versie van uw browser (of een andere browser gaan gebruiken) zou de kwaliteit van de wiskunde op deze pagina kunnen verbeteren.",fonts:"MathJax kan de [STIX fonts](%1) \u00F3f de [MathJax TeX fonts](%2) gebruiken. Download en installeer een van deze lettertypes om uw MathJax ervaring te verbeteren.",STIXPage:"Deze pagina is ontworpen om de [STIX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren.",TeXPage:"Deze pagina is ontworpen om de [MathJax TeX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/FontWarnings.js");
+MathJax.Localization.addTranslation("nl","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.",imageFonts:"MathJax gebruikt zijn beeld-lettertypes en niet zijn lokale of web-gebaseerde lettertypes. Dit zal een tragere weergave geven dan normaal en de wiskunde zal wellicht niet op de hoogste resolutie van uw printer afgedrukt worden.",noFonts:"MathJax is niet in staat een lettertype te vinden waarmee het zijn wiskunde kan weergeven, en beeld-lettertypes zijn niet beschikbaar, dus valt het nu terug op generieke Unicode karakters in de hoop dat uw browsers in staat zal zijn ze weer te geven. Sommige kararakter worden wellicht niet goed weergegeven en mogelijkerwijs helemaal niet.",webFonts:"De meeste moderne browsers kunnen lettertypes via het web downloaden. Updaten naar een recentere versie van uw browser (of een andere browser gaan gebruiken) zou de kwaliteit van de wiskunde op deze pagina kunnen verbeteren.",fonts:"MathJax kan de [STIX fonts](%1) \u00F3f de [MathJax TeX fonts](%2) gebruiken. Download en installeer een van deze lettertypes om uw MathJax ervaring te verbeteren.",STIXPage:"Deze pagina is ontworpen om de [STIX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren.",TeXPage:"Deze pagina is ontworpen om de [MathJax TeX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/FontWarnings.js");
diff --git a/localization/nl/HTML-CSS.js b/localization/nl/HTML-CSS.js
index afae6bafb..029a328ef 100644
--- a/localization/nl/HTML-CSS.js
+++ b/localization/nl/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Web-lettertype %1 aan het laden",CantLoadWebFont:"Het weblettertype %1 kan niet geladen worden.",FirefoxCantLoadWebFont:"Firefox kan geen web-lettertypes laden van een externe host",CantFindFontUsing:"Kan met gebruik van %1 geen geldig lettertype vinden",WebFontsNotAvailable:"Web-lettertypes niet beschikbaar. In plaats daarvan worden beeld-lettertypes gebruikt"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HTML-CSS.js");
+MathJax.Localization.addTranslation("nl","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Web-lettertype %1 aan het laden",CantLoadWebFont:"Het weblettertype %1 kan niet geladen worden.",FirefoxCantLoadWebFont:"Firefox kan geen web-lettertypes laden van een externe host",CantFindFontUsing:"Kan met gebruik van %1 geen geldig lettertype vinden",WebFontsNotAvailable:"Web-lettertypes niet beschikbaar. In plaats daarvan worden beeld-lettertypes gebruikt"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HTML-CSS.js");
diff --git a/localization/nl/HelpDialog.js b/localization/nl/HelpDialog.js
index 5e5988c9e..70da3a7c8 100644
--- a/localization/nl/HelpDialog.js
+++ b/localization/nl/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"MathJax Help",MathJax:"*MathJax* is een JavaScript bibliotheek die het mogelijk maakt dat auteurs wiskunde kunnen toevoegen aan hun web-pagina's. Als een lezer hoeft u niks te doen om dat mogelijk te maken.",Browsers:"*Browsers*: MathJax werkt met alle moderne browsers, inclusief IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ en de meeste mobiele browsers.",Menu:"*Math menu*:MathJax voegt een context menu toe aan vergelijkingen. Rechtsklik of Ctrl-klik op willekeurige wiskunde om het menu weer te geven.",ShowMath:"*Toon wiskunde als* toont de formule in bron opmaak voor knippen \u0026 plakken (als MathML of in zijn originele formaat).",Settings:"Via *Instellingen* kunt u de functionaliteit van MathJax beheersen, zoals de grootte van de wiskunde en het mechanisme dat gebruikt wordt om vergelijkingen weer te geven.",Language:"Via *Taal* kunt u de taal kiezen die MathJax gebruikt voor de menu's en waarschuwingsboodschappen.",Zoom:"*Wiskunde zoom*: Als u moeite heeft met het lezen van een vergelijking dan kan MathJax deze vergroten zodat u het beter kunt zien.",Accessibilty:"*Toegankelijkheid*: MathJax werkt automatisch samen met schermlezers waardoor wiskunde toegankelijk wordt voor slechtzienden.",Fonts:"*Lettertypes*: MathJax zal bepaalde wiskunde lettertypes gebruiken als die ge\u00EFnstalleerd zijn op uw computer; anders zal het web-gebaseerde lettertypes gebruiken. Alhoewel het niet noodzakelijk is, zullen lokaal ge\u00EFnstalleerde lettertypes het zetwerk versnellen. We raden aan om de [STIX fonts](%1) te installeren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HelpDialog.js");
+MathJax.Localization.addTranslation("nl","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"MathJax Help",MathJax:"*MathJax* is een JavaScript bibliotheek die het mogelijk maakt dat auteurs wiskunde kunnen toevoegen aan hun web-pagina's. Als een lezer hoeft u niks te doen om dat mogelijk te maken.",Browsers:"*Browsers*: MathJax werkt met alle moderne browsers, inclusief IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ en de meeste mobiele browsers.",Menu:"*Math menu*:MathJax voegt een context menu toe aan vergelijkingen. Rechtsklik of Ctrl-klik op willekeurige wiskunde om het menu weer te geven.",ShowMath:"*Toon wiskunde als* toont de formule in bron opmaak voor knippen \u0026 plakken (als MathML of in zijn originele formaat).",Settings:"Via *Instellingen* kunt u de functionaliteit van MathJax beheersen, zoals de grootte van de wiskunde en het mechanisme dat gebruikt wordt om vergelijkingen weer te geven.",Language:"Via *Taal* kunt u de taal kiezen die MathJax gebruikt voor de menu's en waarschuwingsboodschappen.",Zoom:"*Wiskunde zoom*: Als u moeite heeft met het lezen van een vergelijking dan kan MathJax deze vergroten zodat u het beter kunt zien.",Accessibilty:"*Toegankelijkheid*: MathJax werkt automatisch samen met schermlezers waardoor wiskunde toegankelijk wordt voor slechtzienden.",Fonts:"*Lettertypes*: MathJax zal bepaalde wiskunde lettertypes gebruiken als die ge\u00EFnstalleerd zijn op uw computer; anders zal het web-gebaseerde lettertypes gebruiken. Alhoewel het niet noodzakelijk is, zullen lokaal ge\u00EFnstalleerde lettertypes het zetwerk versnellen. We raden aan om de [STIX fonts](%1) te installeren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HelpDialog.js");
diff --git a/localization/nl/MathML.js b/localization/nl/MathML.js
index 15898709e..492c7c77b 100644
--- a/localization/nl/MathML.js
+++ b/localization/nl/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"Verkeerde mglyph: %1",BadMglyphFont:"Verkeerd lettertype: %1",MathPlayer:"MathJax was niet in staat MathPlayer in te stellen.\n\\n\nAls MathPlay niet ge\u00EFnstalleerd is dan dient u dat eerst te doen.\nAnders kan het zijn dat beveiligingsinstellingen de uitvoering van ActiveX-besturingselementen verhinderen. Gebruik de keuze Internet Opties in het Extra menu en selecteer het tabblag Beveiligingsinstellingen en druk op de Aangepaste niveau knop. Controleer dat de instellingen voor 'Het uitvoeren van ActiveX-besturingselementen' en 'Gedrag van binaire elementen en scripts' ingeschakeld zijn.\n\\n\nMomenteel zult u foutmeldingen zien in plaats van opgemaakte wiskunde",CantCreateXMLParser:"MathJax kan geen XML verwerker cre\u00EBren voor MathML. Controleer dat de 'ActiveX-besturingselementen die zijn gemarkeerd als veilig voor scripts uitvoeren in scripts' beveiligingsinstelling ingeschakeld is (gebruik de Internet Opties keuze in het Extra menu en selecteer het paneel Beveiliging, druk dan op de Aangepaste niveau knop om dit te controleren.)\n\\n\nHet zal voor MathML vergelijkingen niet mogelijk zijn verwerkt te worden door MathJax.",UnknownNodeType:"Onbekend knooptype: %1",UnexpectedTextNode:"Onverwachte tekstknoop: %1",ErrorParsingMathML:"Fout tijdens verwerken MathML",ParsingError:"Fout tijdens verwerken MathML: %1",MathMLSingleElement:"MathML moet bestaan uit \u00E9\u00E9n element",MathMLRootElement:"MathML moet bestaan uit een \u003Cmath\u003E element, niet %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathML.js");
+MathJax.Localization.addTranslation("nl","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Verkeerde mglyph: %1",BadMglyphFont:"Verkeerd lettertype: %1",MathPlayer:"MathJax was niet in staat MathPlayer in te stellen.\n\\n\nAls MathPlay niet ge\u00EFnstalleerd is dan dient u dat eerst te doen.\nAnders kan het zijn dat beveiligingsinstellingen de uitvoering van ActiveX-besturingselementen verhinderen. Gebruik de keuze Internet Opties in het Extra menu en selecteer het tabblag Beveiligingsinstellingen en druk op de Aangepaste niveau knop. Controleer dat de instellingen voor 'Het uitvoeren van ActiveX-besturingselementen' en 'Gedrag van binaire elementen en scripts' ingeschakeld zijn.\n\\n\nMomenteel zult u foutmeldingen zien in plaats van opgemaakte wiskunde",CantCreateXMLParser:"MathJax kan geen XML verwerker cre\u00EBren voor MathML. Controleer dat de 'ActiveX-besturingselementen die zijn gemarkeerd als veilig voor scripts uitvoeren in scripts' beveiligingsinstelling ingeschakeld is (gebruik de Internet Opties keuze in het Extra menu en selecteer het paneel Beveiliging, druk dan op de Aangepaste niveau knop om dit te controleren.)\n\\n\nHet zal voor MathML vergelijkingen niet mogelijk zijn verwerkt te worden door MathJax.",UnknownNodeType:"Onbekend knooptype: %1",UnexpectedTextNode:"Onverwachte tekstknoop: %1",ErrorParsingMathML:"Fout tijdens verwerken MathML",ParsingError:"Fout tijdens verwerken MathML: %1",MathMLSingleElement:"MathML moet bestaan uit \u00E9\u00E9n element",MathMLRootElement:"MathML moet bestaan uit een \u003Cmath\u003E element, niet %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathML.js");
diff --git a/localization/nl/MathMenu.js b/localization/nl/MathMenu.js
index 61cd9bfd0..ecea07ad6 100644
--- a/localization/nl/MathMenu.js
+++ b/localization/nl/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","MathMenu",{version:"2.3",isLoaded:true,strings:{OriginalMathML:"Oorspronkelijke MathML",TeXCommands:"TeX-commando's",Annotation:"Annotatie",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",texHints:"TeX-hints weergeven in MathML",Settings:"Instellingen voor wiskundige formules",ZoomTrigger:"Inzoomen als",Hover:"Aanwijseffect",Click:"Klik",NoZoom:"Niet zoomen",Option:"Optie",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoom factor",MPHandles:"Laat MathPlayer de volgende gebeurtenissen afhandelen:",MenuEvents:"Menugebeurtenissen",MouseEvents:"Muisgebeurtenissen",MenuAndMouse:"Muis- en menugebeurtenissen",FontPrefs:"Lettertype-voorkeuren",ForHTMLCSS:"Voor HTML-CSS:",TeXLocal:"TeX (lokaal)",TeXWeb:"TeX (web)",TeXImage:"TeX (afbeelding)",STIXLocal:"STIX (lokaal)",Discoverable:"Uitlichten bij aanwijzen",Locale:"Taal",LoadLocale:"Laden van URL ...",Help:"MathJax Help",localTeXfonts:"met behulp van lokale TeX-lettertypen",webSVGfonts:"met behulp van SVG-weblettertypen",genericfonts:"met behulp van standaard Unicodelettertypen",wofforotffonts:"WOFF- of OTF-lettertypen",eotffonts:"EOT-lettertypen",svgfonts:"SVG-lettertypen",OperaNativeMMLWarning:"De ondersteuning voor MathML in Opera is beperkt, dus als u overschakelt naar weergave via MathML kunnen sommige expressies slecht worden weergegeven.",SafariNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",FirefoxNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",BadURL:'De URL moet naar een JavaScriptbestand wijzen waarin vertaalgegevens voor MathJax staan. De naam van het JavaScriptbestand moet eindigen op ".js".',PercentScale:"De schaal moet een percentage zijn (bijvoorbeeld 120%%)",IE9warning:"Het context menu van MathJax wordt uitgeschakeld, maar u kunt in plaats daarvan door Alt-klikken op een expressie het MathJax menu weergeven.",NoOriginalForm:"Geen oorspronkelijke vorm beschikbaar",Close:"Sluiten",Browser:"Browser",Show:"Toon wiskunde als",MathMLcode:"MathML code",AsciiMathInput:"AsciiMathML invoer",Original:"Oorspronkelijke vorm",ErrorMessage:"Foutmelding",ContentMathML:"Inhoud MathML",OpenMath:"OpenMath",DoubleClick:"Dubbelklik",TriggerRequires:"Trigger vereist:",Alt:"Alt",Renderer:"Wiskunde weergever",Auto:"Automatisch",ContextMenu:"Context menu",Scale:"Schaal alle wiskunde als ...",About:"Over MathJax",webTeXfonts:"met behulp van web-lettertype TeX",imagefonts:"met behulp van beeld-lettertypes",localSTIXfonts:"met behulp van lokale STIX lettertypes",WebkitNativeMMLWarning:"Uw browser lijkt MathML niet van origine te ondersteunen, door te kiezen voor MathML uitvoer kan de wiskunde op de pagina onleesbaar worden.",MSIENativeMMLWarning:"Internet Explorer vereist de MathPlayer plug-in om MathML uitvoer te verwerken",MSIESVGWarning:"SVG is niet ge\u00EFmplementeerd in Internet Explorer versie voor IE9 en ook niet wanneer het IE8 of lager emuleert. Kiezen voor SVG output veroorzaakt onjuiste weergave van de wiskunde.",LoadURL:"Laad vertalingsdata van deze URL:",BadData:"Vertalingsdata laden van %1 niet gelukt",SwitchAnyway:"Evengoed de weergever veranderen?\n\\n\n(Druk op OK om te veranderen, ANNULEREN om door te gaan met de huidige weergever.)",ScaleMath:"Schaal alle wiskunde (in vergelijking tot de omliggende tekst) met",NonZeroScale:"De schaal zou niet nul moeten zijn",IE8warning:"Dit zal het MathJax menu en zoom functies uitschakelen, maar u kunt via Alt-klik op een expressie om het MathJax menu weer te geven.\n\\n\nWilt u inderdaad de MathPlayer instellingen wijzigen?",EqSource:"MathJax Vergelijking Bron"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathMenu.js");
+MathJax.Localization.addTranslation("nl","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Toon wiskunde als",MathMLcode:"MathML code",OriginalMathML:"Oorspronkelijke MathML",TeXCommands:"TeX-commando's",AsciiMathInput:"AsciiMathML invoer",Original:"Oorspronkelijke vorm",ErrorMessage:"Foutmelding",Annotation:"Annotatie",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Inhoud MathML",OpenMath:"OpenMath",texHints:"TeX-hints weergeven in MathML",Settings:"Instellingen voor wiskundige formules",ZoomTrigger:"Inzoomen als",Hover:"Aanwijseffect",Click:"Klik",DoubleClick:"Dubbelklik",NoZoom:"Niet zoomen",TriggerRequires:"Trigger vereist:",Option:"Optie",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoom factor",Renderer:"Wiskunde weergever",MPHandles:"Laat MathPlayer de volgende gebeurtenissen afhandelen:",MenuEvents:"Menugebeurtenissen",MouseEvents:"Muisgebeurtenissen",MenuAndMouse:"Muis- en menugebeurtenissen",FontPrefs:"Lettertype-voorkeuren",ForHTMLCSS:"Voor HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (lokaal)",TeXWeb:"TeX (web)",TeXImage:"TeX (afbeelding)",STIXLocal:"STIX (lokaal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Context menu",Browser:"Browser",Scale:"Schaal alle wiskunde als ...",Discoverable:"Uitlichten bij aanwijzen",Locale:"Taal",LoadLocale:"Laden van URL ...",About:"Over MathJax",Help:"MathJax Help",localTeXfonts:"met behulp van lokale TeX-lettertypen",webTeXfonts:"met behulp van web-lettertype TeX",imagefonts:"met behulp van beeld-lettertypes",localSTIXfonts:"met behulp van lokale STIX lettertypes",webSVGfonts:"met behulp van SVG-weblettertypen",genericfonts:"met behulp van standaard Unicodelettertypen",wofforotffonts:"WOFF- of OTF-lettertypen",eotffonts:"EOT-lettertypen",svgfonts:"SVG-lettertypen",WebkitNativeMMLWarning:"Uw browser lijkt MathML niet van origine te ondersteunen, door te kiezen voor MathML uitvoer kan de wiskunde op de pagina onleesbaar worden.",MSIENativeMMLWarning:"Internet Explorer vereist de MathPlayer plug-in om MathML uitvoer te verwerken",OperaNativeMMLWarning:"De ondersteuning voor MathML in Opera is beperkt, dus als u overschakelt naar weergave via MathML kunnen sommige expressies slecht worden weergegeven.",SafariNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",FirefoxNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",MSIESVGWarning:"SVG is niet ge\u00EFmplementeerd in Internet Explorer versie voor IE9 en ook niet wanneer het IE8 of lager emuleert. Kiezen voor SVG output veroorzaakt onjuiste weergave van de wiskunde.",LoadURL:"Laad vertalingsdata van deze URL:",BadURL:'De URL moet naar een JavaScriptbestand wijzen waarin vertaalgegevens voor MathJax staan. De naam van het JavaScriptbestand moet eindigen op ".js".',BadData:"Vertalingsdata laden van %1 niet gelukt",SwitchAnyway:"Evengoed de weergever veranderen?\n\\n\n(Druk op OK om te veranderen, ANNULEREN om door te gaan met de huidige weergever.)",ScaleMath:"Schaal alle wiskunde (in vergelijking tot de omliggende tekst) met",NonZeroScale:"De schaal zou niet nul moeten zijn",PercentScale:"De schaal moet een percentage zijn (bijvoorbeeld 120%%)",IE8warning:"Dit zal het MathJax menu en zoom functies uitschakelen, maar u kunt via Alt-klik op een expressie om het MathJax menu weer te geven.\n\\n\nWilt u inderdaad de MathPlayer instellingen wijzigen?",IE9warning:"Het context menu van MathJax wordt uitgeschakeld, maar u kunt in plaats daarvan door Alt-klikken op een expressie het MathJax menu weergeven.",NoOriginalForm:"Geen oorspronkelijke vorm beschikbaar",Close:"Sluiten",EqSource:"MathJax Vergelijking Bron"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathMenu.js");
diff --git a/localization/nl/TeX.js b/localization/nl/TeX.js
index 5dc3d13f8..a0c7a3a79 100644
--- a/localization/nl/TeX.js
+++ b/localization/nl/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Overtollige openende accolade of ontbrekende afsluitende accolade",ExtraCloseMissingOpen:"Overtollige afsluitende accolade of ontbrekende openende accolade",MissingLeftExtraRight:"Ontbrekende \\left of overtollige \\right",MissingScript:"Ontbrekend superschrift of subschrift argument",ExtraLeftMissingRight:"Overtollige \\left of ontbrekende \\right",Misplaced:"Misplaatste %1",MissingOpenForSub:"Ontbrekende openende accolade voor subschrift",MissingOpenForSup:"Ontbrekende openende accolade voor superschrift",AmbiguousUseOf:"Dubbelzinnig gebruik van %1",EnvBadEnd:"\\begin{%1} eindigde met \\end{%2}",EnvMissingEnd:"Ontbrekende \\end{%1}",MissingBoxFor:"Ontbrekende box voor %1",MissingCloseBrace:"Ontbrekende afsluitende accolade",UndefinedControlSequence:"Ongedefinieerde bewerkingsvolgorde %1",DoubleExponent:"Dubbele exponent: gebruik accolades om te verduidelijken",DoubleSubscripts:"Dubbele subschriften: gebruik accolades om te verduidelijken",DoubleExponentPrime:"Priem veroorzaakt een dubbele exponent: Gebruik accolades om te verduidelijken.",CantUseHash1:"U kunt 'macro parameter karakter #' niet gebruiken in wiskunde modus",MisplacedMiddle:"%1 moet zich tussen \\left en \\right bevinden",MisplacedLimits:"%1 is alleen toegestaan op bewerkingstekens",MisplacedMoveRoot:"%1 kan alleen voorkomen in een root",MultipleCommand:"Meerdere %1",IntegerArg:"Het argument voor %1 moet een geheel getal zijn",NotMathMLToken:"%1 is geen symbool element",InvalidMathMLAttr:"Ongeldig MathML attribuut: %1",UnknownAttrForElement:"%1 is niet een bekend attribuut voor %2",MaxMacroSub1:"MathJax maximaal aantal macro vervangingen overschreden; is er een recursieve macro aanroep?",MaxMacroSub2:"MathJax maximaal aantal vervangingen overschreden; is er een recursieve latex omgeving?",MissingArgFor:"Ontbrekend argument voor %1",ExtraAlignTab:"Overtollige uitlijning tab in \\cases tekst",BracketMustBeDimension:"Rechte haak argument voor %1 moet een dimensie zijn",InvalidEnv:"Ongeldige omgevingsnaam '%1'",UnknownEnv:"Onbekende omgeving '%1'",ExtraCloseLooking:"Overtollige afsluitende accolade terwijl gezocht wordt naar %1",MissingCloseBracket:"Kon afsluitende ']' niet vinden als argument voor %1",MissingOrUnrecognizedDelim:"Ontbrekend of onbekend scheidingsteken voor %1",MissingDimOrUnits:"Ontbrekende dimensie of zijn eenheden voor %1",TokenNotFoundForCommand:"Kon %1 niet vinden voor %2",MathNotTerminated:"Wiskunde niet afgerond in een 'text box'",IllegalMacroParam:"Niet toegestane macro parameter verwijzing",MaxBufferSize:"MathJax interne bufferomvang overschreden; is er een recursive macro aanroep?",CommandNotAllowedInEnv:"%1 niet toegestaan in %2 omgeving",MultipleLabel:"Label '%1' meerdere keren gedefinieerd",CommandAtTheBeginingOfLine:"%1 moet aan het begin van een regel staan",IllegalAlign:"Niet toegestane uitlijning gespecificeerd in %1",BadMathStyleFor:"Foute wiskunde stijl voor %1",PositiveIntegerArg:"Het argument voor %1 moet een positief geheel getal zijn",ErroneousNestingEq:"Foutieve nesting van vergelijking structuren",MultlineRowsOneCol:"De regels in de %1 omgeving moeten precies \u00E9\u00E9n kolom bevatten",MultipleBBoxProperty:"%1 twee keer gespecificeerd in %2",InvalidBBoxProperty:"'%1' lijkt niet op een kleur, een opvuldimensie of een stijl",ExtraEndMissingBegin:"Overtollige %1 of ontbrekende \\begingroup",GlobalNotFollowedBy:"%1 niet gevolgd door \\let, \\def of \\newcommand",UndefinedColorModel:"Kleurmodel '%1' niet gedefinieerd",ModelArg1:"Kleurwaardes voor het %1 model hebben 3 getallen nodig",InvalidDecimalNumber:"Ongeldig decimaal getal",ModelArg2:"Kleurwaardes voor het %1 model moeten tussen %2 en %3 liggen",InvalidNumber:"Ongeldig getal",NewextarrowArg1:"Eerst argument voor %1 moet een bewerkingsvolgorde naam zijn.",NewextarrowArg2:"Tweede argument voor %1 moet twee gehele getallen zijn, gescheiden door een komma",NewextarrowArg3:"Derde argument voor %1 moet een Unicode karakter nummer zijn",NoClosingChar:"Kan afsluitende %1 niet vinden",IllegalControlSequenceName:"Niet toegestane bewerkingsvolgorde naam voor %1",IllegalParamNumber:"Niet toegestane getallen of parameters gespecificeerd in %1",MissingCS:"%1 moet gevolgd worden door een bewerkingsvolgorde",CantUseHash2:"Niet toegestaan gebruik van # in een sjabloon voor %1",SequentialParam:"Parameters voor %1 moeten opeenvolgend genummerd zijn",MissingReplacementString:"Ontbrekende vervangende tekst voor definitie van %1",MismatchUseDef:"Gebruik van %1 stemt niet overeen met zijn definitie",RunawayArgument:"Ontsnapt argument voor %1?",NoClosingDelim:"Kan afsluitende scheidingsteken voor %1 niet vinden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/TeX.js");
+MathJax.Localization.addTranslation("nl","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Overtollige openende accolade of ontbrekende afsluitende accolade",ExtraCloseMissingOpen:"Overtollige afsluitende accolade of ontbrekende openende accolade",MissingLeftExtraRight:"Ontbrekende \\left of overtollige \\right",MissingScript:"Ontbrekend superschrift of subschrift argument",ExtraLeftMissingRight:"Overtollige \\left of ontbrekende \\right",Misplaced:"Misplaatste %1",MissingOpenForSub:"Ontbrekende openende accolade voor subschrift",MissingOpenForSup:"Ontbrekende openende accolade voor superschrift",AmbiguousUseOf:"Dubbelzinnig gebruik van %1",EnvBadEnd:"\\begin{%1} eindigde met \\end{%2}",EnvMissingEnd:"Ontbrekende \\end{%1}",MissingBoxFor:"Ontbrekende box voor %1",MissingCloseBrace:"Ontbrekende afsluitende accolade",UndefinedControlSequence:"Ongedefinieerde bewerkingsvolgorde %1",DoubleExponent:"Dubbele exponent: gebruik accolades om te verduidelijken",DoubleSubscripts:"Dubbele subschriften: gebruik accolades om te verduidelijken",DoubleExponentPrime:"Priem veroorzaakt een dubbele exponent: Gebruik accolades om te verduidelijken.",CantUseHash1:"U kunt 'macro parameter karakter #' niet gebruiken in wiskunde modus",MisplacedMiddle:"%1 moet zich tussen \\left en \\right bevinden",MisplacedLimits:"%1 is alleen toegestaan op bewerkingstekens",MisplacedMoveRoot:"%1 kan alleen voorkomen in een root",MultipleCommand:"Meerdere %1",IntegerArg:"Het argument voor %1 moet een geheel getal zijn",NotMathMLToken:"%1 is geen symbool element",InvalidMathMLAttr:"Ongeldig MathML attribuut: %1",UnknownAttrForElement:"%1 is niet een bekend attribuut voor %2",MaxMacroSub1:"MathJax maximaal aantal macro vervangingen overschreden; is er een recursieve macro aanroep?",MaxMacroSub2:"MathJax maximaal aantal vervangingen overschreden; is er een recursieve latex omgeving?",MissingArgFor:"Ontbrekend argument voor %1",ExtraAlignTab:"Overtollige uitlijning tab in \\cases tekst",BracketMustBeDimension:"Rechte haak argument voor %1 moet een dimensie zijn",InvalidEnv:"Ongeldige omgevingsnaam '%1'",UnknownEnv:"Onbekende omgeving '%1'",ExtraCloseLooking:"Overtollige afsluitende accolade terwijl gezocht wordt naar %1",MissingCloseBracket:"Kon afsluitende ']' niet vinden als argument voor %1",MissingOrUnrecognizedDelim:"Ontbrekend of onbekend scheidingsteken voor %1",MissingDimOrUnits:"Ontbrekende dimensie of zijn eenheden voor %1",TokenNotFoundForCommand:"Kon %1 niet vinden voor %2",MathNotTerminated:"Wiskunde niet afgerond in een 'text box'",IllegalMacroParam:"Niet toegestane macro parameter verwijzing",MaxBufferSize:"MathJax interne bufferomvang overschreden; is er een recursive macro aanroep?",CommandNotAllowedInEnv:"%1 niet toegestaan in %2 omgeving",MultipleLabel:"Label '%1' meerdere keren gedefinieerd",CommandAtTheBeginingOfLine:"%1 moet aan het begin van een regel staan",IllegalAlign:"Niet toegestane uitlijning gespecificeerd in %1",BadMathStyleFor:"Foute wiskunde stijl voor %1",PositiveIntegerArg:"Het argument voor %1 moet een positief geheel getal zijn",ErroneousNestingEq:"Foutieve nesting van vergelijking structuren",MultlineRowsOneCol:"De regels in de %1 omgeving moeten precies \u00E9\u00E9n kolom bevatten",MultipleBBoxProperty:"%1 twee keer gespecificeerd in %2",InvalidBBoxProperty:"'%1' lijkt niet op een kleur, een opvuldimensie of een stijl",ExtraEndMissingBegin:"Overtollige %1 of ontbrekende \\begingroup",GlobalNotFollowedBy:"%1 niet gevolgd door \\let, \\def of \\newcommand",UndefinedColorModel:"Kleurmodel '%1' niet gedefinieerd",ModelArg1:"Kleurwaardes voor het %1 model hebben 3 getallen nodig",InvalidDecimalNumber:"Ongeldig decimaal getal",ModelArg2:"Kleurwaardes voor het %1 model moeten tussen %2 en %3 liggen",InvalidNumber:"Ongeldig getal",NewextarrowArg1:"Eerst argument voor %1 moet een bewerkingsvolgorde naam zijn.",NewextarrowArg2:"Tweede argument voor %1 moet twee gehele getallen zijn, gescheiden door een komma",NewextarrowArg3:"Derde argument voor %1 moet een Unicode karakter nummer zijn",NoClosingChar:"Kan afsluitende %1 niet vinden",IllegalControlSequenceName:"Niet toegestane bewerkingsvolgorde naam voor %1",IllegalParamNumber:"Niet toegestane getallen of parameters gespecificeerd in %1",MissingCS:"%1 moet gevolgd worden door een bewerkingsvolgorde",CantUseHash2:"Niet toegestaan gebruik van # in een sjabloon voor %1",SequentialParam:"Parameters voor %1 moeten opeenvolgend genummerd zijn",MissingReplacementString:"Ontbrekende vervangende tekst voor definitie van %1",MismatchUseDef:"Gebruik van %1 stemt niet overeen met zijn definitie",RunawayArgument:"Ontsnapt argument voor %1?",NoClosingDelim:"Kan afsluitende scheidingsteken voor %1 niet vinden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/TeX.js");
diff --git a/localization/nl/nl.js b/localization/nl/nl.js
index 9823e660f..1340600bf 100644
--- a/localization/nl/nl.js
+++ b/localization/nl/nl.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl",null,{menuTitle:"Nederlands",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{LoadFile:"Bezig met laden van %1",Loading:"Bezig met laden",Processing:"Bezig met verwerken",MathJaxNotSupported:"Uw browser ondersteunt MathJax niet",CookieConfig:"MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)",MathProcessingError:"Wiskunde verwerkingsfout",MathError:"Wiskunde fout",LoadFailed:"Bestand kan niet geladen worden: %1",ProcessMath:"Berekening verwerken: %1",TypesetMath:"Berekening opmaken: %1",Typesetting:"Opmaken"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/nl.js");
+MathJax.Localization.addTranslation("nl",null,{menuTitle:"Nederlands",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)",MathProcessingError:"Wiskunde verwerkingsfout",MathError:"Wiskunde fout",LoadFile:"Bezig met laden van %1",Loading:"Bezig met laden",LoadFailed:"Bestand kan niet geladen worden: %1",ProcessMath:"Berekening verwerken: %1",Processing:"Bezig met verwerken",TypesetMath:"Berekening opmaken: %1",Typesetting:"Opmaken",MathJaxNotSupported:"Uw browser ondersteunt MathJax niet"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/nl.js");
diff --git a/localization/oc/FontWarnings.js b/localization/oc/FontWarnings.js
index ed3473e67..6686f696d 100644
--- a/localization/oc/FontWarnings.js
+++ b/localization/oc/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/FontWarnings.js");
+MathJax.Localization.addTranslation("oc","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/FontWarnings.js");
diff --git a/localization/oc/HTML-CSS.js b/localization/oc/HTML-CSS.js
index d04d5cf9e..b2f60ecfc 100644
--- a/localization/oc/HTML-CSS.js
+++ b/localization/oc/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HTML-CSS.js");
+MathJax.Localization.addTranslation("oc","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HTML-CSS.js");
diff --git a/localization/oc/HelpDialog.js b/localization/oc/HelpDialog.js
index 321d761a1..f4da45bf3 100644
--- a/localization/oc/HelpDialog.js
+++ b/localization/oc/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HelpDialog.js");
+MathJax.Localization.addTranslation("oc","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HelpDialog.js");
diff --git a/localization/oc/MathML.js b/localization/oc/MathML.js
index 3b255d286..ddeb5844e 100644
--- a/localization/oc/MathML.js
+++ b/localization/oc/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathML.js");
+MathJax.Localization.addTranslation("oc","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathML.js");
diff --git a/localization/oc/MathMenu.js b/localization/oc/MathMenu.js
index 7ac7861a4..472dc99df 100644
--- a/localization/oc/MathMenu.js
+++ b/localization/oc/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Afichar jos la forma",MathMLcode:"C\u00F2de MathML",OriginalMathML:"MathML d\u2019origina",TeXCommands:"Comandas TeX",AsciiMathInput:"entrada AsciiMathML",Original:"Format d'origina",ErrorMessage:"Messatge d\u2019error",Annotation:"Anotacion",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contengut",OpenMath:"OpenMath",texHints:"Afichar las ajudas TeX en MathML",Settings:"Parametratges dels maths",ZoomTrigger:"Desenclavador de zoom",Hover:"Susv\u00F2l",Click:"Clic",DoubleClick:"Clic doble",NoZoom:"Pas de zoom",TriggerRequires:"Lo desenclavador necessita :",Option:"Opcion",Alt:"Alt",Command:"Comanda",Control:"Contrar\u00F2tle",Shift:"Shift",ZoomFactor:"Factor de grossiment",Renderer:"Rendut matematic",MPHandles:"Daissar MathPlayer gerir :",MenuEvents:"Eveniments de men\u00FA",MouseEvents:"Eveniments de mirga",FontPrefs:"Prefer\u00E9ncias de poli\u00E7a",ForHTMLCSS:"Per HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",ContextMenu:"Men\u00FA contextual",Browser:"Navigador",Locale:"Lenga",Close:"Tampar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathMenu.js");
+MathJax.Localization.addTranslation("oc","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Afichar jos la forma",MathMLcode:"C\u00F2de MathML",OriginalMathML:"MathML d\u2019origina",TeXCommands:"Comandas TeX",AsciiMathInput:"entrada AsciiMathML",Original:"Format d'origina",ErrorMessage:"Messatge d\u2019error",Annotation:"Anotacion",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contengut",OpenMath:"OpenMath",texHints:"Afichar las ajudas TeX en MathML",Settings:"Parametratges dels maths",ZoomTrigger:"Desenclavador de zoom",Hover:"Susv\u00F2l",Click:"Clic",DoubleClick:"Clic doble",NoZoom:"Pas de zoom",TriggerRequires:"Lo desenclavador necessita :",Option:"Opcion",Alt:"Alt",Command:"Comanda",Control:"Contrar\u00F2tle",Shift:"Shift",ZoomFactor:"Factor de grossiment",Renderer:"Rendut matematic",MPHandles:"Daissar MathPlayer gerir :",MenuEvents:"Eveniments de men\u00FA",MouseEvents:"Eveniments de mirga",FontPrefs:"Prefer\u00E9ncias de poli\u00E7a",ForHTMLCSS:"Per HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navigador",Locale:"Lenga",LoadLocale:"Cargar dempu\u00E8i l\u2019URL\u2026",About:"A prepaus de MathJax",Help:"Ajuda de MathJax",localTeXfonts:"utilizar las poli\u00E7as TeX localas",webTeXfonts:"utilizar las poli\u00E7as TeX del web",imagefonts:"utilizar las poli\u00E7as Imatge",localSTIXfonts:"utilizar las poli\u00E7as STIX localas",webSVGfonts:"utilizar las poli\u00E7as SVG del web",genericfonts:"utilizar las poli\u00E7as unicode genericas",wofforotffonts:"poli\u00E7as woff o otf",eotffonts:"poli\u00E7as eot",svgfonts:"poli\u00E7as svg",Close:"Tampar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathMenu.js");
diff --git a/localization/oc/TeX.js b/localization/oc/TeX.js
index 55848b7a4..56145272e 100644
--- a/localization/oc/TeX.js
+++ b/localization/oc/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/TeX.js");
+MathJax.Localization.addTranslation("oc","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/TeX.js");
diff --git a/localization/oc/oc.js b/localization/oc/oc.js
index e98a569d6..0d6e48153 100644
--- a/localization/oc/oc.js
+++ b/localization/oc/oc.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc",null,{menuTitle:"occitan",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{LoadFile:"Telecargament de %1",Loading:"Cargament",LoadFailed:"Frac\u00E0s del telecargament de %1",ProcessMath:"Tractament de las formulas : %1%%",Processing:"Tractament",TypesetMath:"Composicion de las formulas : %1%%",Typesetting:"Composicion",MathProcessingError:"Error de tractament de la formula matematica",MathError:"Error dins la formula matematica",MathJaxNotSupported:"V\u00F2stre navigador sup\u00F2rta pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/oc.js");
+MathJax.Localization.addTranslation("oc",null,{menuTitle:"occitan",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{MathProcessingError:"Error de tractament de la formula matematica",MathError:"Error dins la formula matematica",LoadFile:"Telecargament de %1",Loading:"Cargament",LoadFailed:"Frac\u00E0s del telecargament de %1",ProcessMath:"Tractament de las formulas : %1%%",Processing:"Tractament",TypesetMath:"Composicion de las formulas : %1%%",Typesetting:"Composicion",MathJaxNotSupported:"V\u00F2stre navigador sup\u00F2rta pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/oc.js");
diff --git a/localization/pl/FontWarnings.js b/localization/pl/FontWarnings.js
index befb10de6..4f8c18ad8 100644
--- a/localization/pl/FontWarnings.js
+++ b/localization/pl/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.",imageFonts:"MathJax u\u017Cywa czcionek obrazkowych zamiast lokalnych lub pobranych z sieci. To powoduje wolniejsze wy\u015Bwietlanie strony oraz uniemo\u017Cliwia wydruk w pe\u0142nej rozdzielczo\u015Bci Twojej drukarki.",noFonts:"MathJax nie mo\u017Ce zlokalizowa\u0107 czcionek potrzebnych do wy\u015Bwietlenia wzor\u00F3w, a czcionki obrazkowe nie s\u0105 dost\u0119pne. U\u017Cywane s\u0105 wi\u0119c znaki Unicode z nadziej\u0105, \u017Ce Twoja przegl\u0105darka wy\u015Bwietli je poprawnie. Niekt\u00F3re znaki mog\u0105 jednak nie wygl\u0105da\u0107 prawid\u0142owo lub mog\u0105 nie by\u0107 w og\u00F3le wy\u015Bwietlane.",webFonts:"Wi\u0119kszo\u015B\u0107 nowych przegl\u0105darek umo\u017Cliwia pobieranie czcionek z sieci Web. Aktualizacja Twojej przegl\u0105darki (lub wyb\u00F3r innej) mo\u017Ce polepszy\u0107 jako\u015B\u0107 wy\u015Bwietlanych wzor\u00F3w matematycznych na tej stronie.",fonts:"MathJax mo\u017Ce u\u017Cy\u0107 albo [czcionek STIX](%1), albo [czcionek MathJax Tex](%2). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",STIXPage:"Ta strona wymaga [czcionek STIX](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",TeXPage:"Ta strona wymaga [czcionek MathJax Tex](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/FontWarnings.js");
+MathJax.Localization.addTranslation("pl","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.",imageFonts:"MathJax u\u017Cywa czcionek obrazkowych zamiast lokalnych lub pobranych z sieci. To powoduje wolniejsze wy\u015Bwietlanie strony oraz uniemo\u017Cliwia wydruk w pe\u0142nej rozdzielczo\u015Bci Twojej drukarki.",noFonts:"MathJax nie mo\u017Ce zlokalizowa\u0107 czcionek potrzebnych do wy\u015Bwietlenia wzor\u00F3w, a czcionki obrazkowe nie s\u0105 dost\u0119pne. U\u017Cywane s\u0105 wi\u0119c znaki Unicode z nadziej\u0105, \u017Ce Twoja przegl\u0105darka wy\u015Bwietli je poprawnie. Niekt\u00F3re znaki mog\u0105 jednak nie wygl\u0105da\u0107 prawid\u0142owo lub mog\u0105 nie by\u0107 w og\u00F3le wy\u015Bwietlane.",webFonts:"Wi\u0119kszo\u015B\u0107 nowych przegl\u0105darek umo\u017Cliwia pobieranie czcionek z sieci Web. Aktualizacja Twojej przegl\u0105darki (lub wyb\u00F3r innej) mo\u017Ce polepszy\u0107 jako\u015B\u0107 wy\u015Bwietlanych wzor\u00F3w matematycznych na tej stronie.",fonts:"MathJax mo\u017Ce u\u017Cy\u0107 albo [czcionek STIX](%1), albo [czcionek MathJax Tex](%2). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",STIXPage:"Ta strona wymaga [czcionek STIX](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",TeXPage:"Ta strona wymaga [czcionek MathJax Tex](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/FontWarnings.js");
diff --git a/localization/pl/HTML-CSS.js b/localization/pl/HTML-CSS.js
index 38d4ad7a4..65f599a30 100644
--- a/localization/pl/HTML-CSS.js
+++ b/localization/pl/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"\u0141aduj\u0119 czcionk\u0119 %1",CantLoadWebFont:"Nie mo\u017Cna za\u0142adowa\u0107 czcionki %1",FirefoxCantLoadWebFont:"Firefox nie mo\u017Ce za\u0142adowa\u0107 czcionek ze zdalnego hosta",CantFindFontUsing:"Nie mo\u017Cna znale\u017A\u0107 w\u0142a\u015Bciwej czcionki u\u017Cywaj\u0105c %1",WebFontsNotAvailable:"Czcionki internetowe nie dost\u0119pne - zamiast tego u\u017Cywane s\u0105 czcionki obrazkowe"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HTML-CSS.js");
+MathJax.Localization.addTranslation("pl","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u0141aduj\u0119 czcionk\u0119 %1",CantLoadWebFont:"Nie mo\u017Cna za\u0142adowa\u0107 czcionki %1",FirefoxCantLoadWebFont:"Firefox nie mo\u017Ce za\u0142adowa\u0107 czcionek ze zdalnego hosta",CantFindFontUsing:"Nie mo\u017Cna znale\u017A\u0107 w\u0142a\u015Bciwej czcionki u\u017Cywaj\u0105c %1",WebFontsNotAvailable:"Czcionki internetowe nie dost\u0119pne - zamiast tego u\u017Cywane s\u0105 czcionki obrazkowe"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HTML-CSS.js");
diff --git a/localization/pl/HelpDialog.js b/localization/pl/HelpDialog.js
index f56eb8055..6e5f107bd 100644
--- a/localization/pl/HelpDialog.js
+++ b/localization/pl/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"Pomoc MathJax",MathJax:"*MathJax* to biblioteka Javascript umo\u017Cliwiaj\u0105ca autorom stron Web na zapisywanie wzor\u00F3w matematycznych. Jako u\u017Cytkownik, nie musisz robi\u0107 nic dodatkowo, aby wzory by\u0142y poprawnie wy\u015Bwietlane.",Browsers:"*Przegl\u0105darki*: MathJax dzia\u0142a z nowymi przegl\u0105darkami, m.in. IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i wi\u0119kszo\u015Bci\u0105 przegl\u0105darek mobilnych.",Menu:"*Menu*: MathJax dodaje menu kontekstowe do wzor\u00F3w matematycznych. Kliknij prawym klawiszem myszki (lub lewy klawisz i Ctrl), aby je otworzy\u0107.",ShowMath:"Opcja *Poka\u017C wzory jako* pozwala zobaczy\u0107 \u017Ar\u00F3d\u0142ow\u0105 posta\u0107 wzor\u00F3w, aby mo\u017Cna by\u0142o je skopiowa\u0107 do schowka.",Settings:"Opcja *Ustawienia* pozwala kontrolowa\u0107 MathJax, m.in. ustawia\u0107 wielko\u015B\u0107 wzor\u00F3w i zmienia\u0107 mechanizm ich wy\u015Bwietlania.",Language:"*J\u0119zyk* pozwala wybra\u0107 j\u0119zyk, w jakim wy\u015Bwietlane jest menu oraz komunikaty o b\u0142\u0119dach.",Zoom:"*Powi\u0119kszanie*: Je\u017Celi masz problem z odczytaniem wzoru, MathJax mo\u017Ce zwi\u0119kszy\u0107 wielko\u015B\u0107 liter, aby \u0142atwiej by\u0142o go odczyta\u0107.",Accessibilty:"*Dost\u0119pno\u015B\u0107*: MathJax dzia\u0142a automatycznie z czytnikami ekranowymi, aby wzory matematyczne by\u0142y dost\u0119pne dla niedowidz\u0105cych.",Fonts:"*Czcionki*: MathJax u\u017Cyje czcionek matematycznych zainstalowanych w Twoim systemie. Je\u017Celi ich nie masz, to u\u017Cyje czcionek Web. Nie jest to wymagane, ale lokalnie dost\u0119pne czcionki przyspiesz\u0105 dzia\u0142anie MathJax. Sugerujemy zainstalowanie czcionek [STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HelpDialog.js");
+MathJax.Localization.addTranslation("pl","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Pomoc MathJax",MathJax:"*MathJax* to biblioteka Javascript umo\u017Cliwiaj\u0105ca autorom stron Web na zapisywanie wzor\u00F3w matematycznych. Jako u\u017Cytkownik, nie musisz robi\u0107 nic dodatkowo, aby wzory by\u0142y poprawnie wy\u015Bwietlane.",Browsers:"*Przegl\u0105darki*: MathJax dzia\u0142a z nowymi przegl\u0105darkami, m.in. IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i wi\u0119kszo\u015Bci\u0105 przegl\u0105darek mobilnych.",Menu:"*Menu*: MathJax dodaje menu kontekstowe do wzor\u00F3w matematycznych. Kliknij prawym klawiszem myszki (lub lewy klawisz i Ctrl), aby je otworzy\u0107.",ShowMath:"Opcja *Poka\u017C wzory jako* pozwala zobaczy\u0107 \u017Ar\u00F3d\u0142ow\u0105 posta\u0107 wzor\u00F3w, aby mo\u017Cna by\u0142o je skopiowa\u0107 do schowka.",Settings:"Opcja *Ustawienia* pozwala kontrolowa\u0107 MathJax, m.in. ustawia\u0107 wielko\u015B\u0107 wzor\u00F3w i zmienia\u0107 mechanizm ich wy\u015Bwietlania.",Language:"*J\u0119zyk* pozwala wybra\u0107 j\u0119zyk, w jakim wy\u015Bwietlane jest menu oraz komunikaty o b\u0142\u0119dach.",Zoom:"*Powi\u0119kszanie*: Je\u017Celi masz problem z odczytaniem wzoru, MathJax mo\u017Ce zwi\u0119kszy\u0107 wielko\u015B\u0107 liter, aby \u0142atwiej by\u0142o go odczyta\u0107.",Accessibilty:"*Dost\u0119pno\u015B\u0107*: MathJax dzia\u0142a automatycznie z czytnikami ekranowymi, aby wzory matematyczne by\u0142y dost\u0119pne dla niedowidz\u0105cych.",Fonts:"*Czcionki*: MathJax u\u017Cyje czcionek matematycznych zainstalowanych w Twoim systemie. Je\u017Celi ich nie masz, to u\u017Cyje czcionek Web. Nie jest to wymagane, ale lokalnie dost\u0119pne czcionki przyspiesz\u0105 dzia\u0142anie MathJax. Sugerujemy zainstalowanie czcionek [STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HelpDialog.js");
diff --git a/localization/pl/MathML.js b/localization/pl/MathML.js
index bd80bc2bd..cec1f21bb 100644
--- a/localization/pl/MathML.js
+++ b/localization/pl/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"B\u0142\u0105d w elemencie mglyph: %1",BadMglyphFont:"B\u0142\u0119dna czcionka: %1",MathPlayer:"MathJax nie m\u00F3g\u0142 uruchomi\u0107 MathPlayer.\n\nJe\u015Bli MathPlayer nie jest zainstalowany, musisz go najpierw zainstalowa\u0107.\nW przeciwnym razie, twoje ustawienia bezpiecze\u0144stwa mog\u0105 blokowa\u0107 dzia\u0142anie\nformant\u00F3w ActiveX. W Opcjach internetowych, w menu Narz\u0119dzia wybierz zak\u0142adk\u0119\nZabezpieczenia i naci\u015Bnij przycisk Poziom niestandardowy. Upewnij si\u0119, \u017Ce ustawienia\ndotycz\u0105ce ActiveX oraz skrypt\u00F3w s\u0105 w\u0142\u0105czone.\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",CantCreateXMLParser:"MathJax nie mo\u017Ce utworzy\u0107 parsera XML dla MathML. Upewnij si\u0119, \u017Ce\nopcja 'Wykonywanie skrypt\u00F3w formant\u00F3w ActiveX' jest w\u0142\u0105czona\n(sprawd\u017A to w Opcjach internetowych w menu Narz\u0119dzia,\nw zak\u0142adce Zabezpieczenia kliknij na przycisk Poziom niestandardowy).\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",UnknownNodeType:"Nieznany typ elementu: %1",UnexpectedTextNode:"Nieoczekiwany element tekstowy: %1",ErrorParsingMathML:"B\u0142\u0105d podczas przetwarzania MathML",ParsingError:"B\u0142\u0105d podczas przetwarzania MathML: %1",MathMLSingleElement:"MathML musi by\u0107 zamkni\u0119ty w pojedynczym elemencie",MathMLRootElement:"MathML musi by\u0107 zamkni\u0119ty w elemencie \u003Cmath\u003E, a nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathML.js");
+MathJax.Localization.addTranslation("pl","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"B\u0142\u0105d w elemencie mglyph: %1",BadMglyphFont:"B\u0142\u0119dna czcionka: %1",MathPlayer:"MathJax nie m\u00F3g\u0142 uruchomi\u0107 MathPlayer.\n\nJe\u015Bli MathPlayer nie jest zainstalowany, musisz go najpierw zainstalowa\u0107.\nW przeciwnym razie, twoje ustawienia bezpiecze\u0144stwa mog\u0105 blokowa\u0107 dzia\u0142anie\nformant\u00F3w ActiveX. W Opcjach internetowych, w menu Narz\u0119dzia wybierz zak\u0142adk\u0119\nZabezpieczenia i naci\u015Bnij przycisk Poziom niestandardowy. Upewnij si\u0119, \u017Ce ustawienia\ndotycz\u0105ce ActiveX oraz skrypt\u00F3w s\u0105 w\u0142\u0105czone.\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",CantCreateXMLParser:"MathJax nie mo\u017Ce utworzy\u0107 parsera XML dla MathML. Upewnij si\u0119, \u017Ce\nopcja 'Wykonywanie skrypt\u00F3w formant\u00F3w ActiveX' jest w\u0142\u0105czona\n(sprawd\u017A to w Opcjach internetowych w menu Narz\u0119dzia,\nw zak\u0142adce Zabezpieczenia kliknij na przycisk Poziom niestandardowy).\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",UnknownNodeType:"Nieznany typ elementu: %1",UnexpectedTextNode:"Nieoczekiwany element tekstowy: %1",ErrorParsingMathML:"B\u0142\u0105d podczas przetwarzania MathML",ParsingError:"B\u0142\u0105d podczas przetwarzania MathML: %1",MathMLSingleElement:"MathML musi by\u0107 zamkni\u0119ty w pojedynczym elemencie",MathMLRootElement:"MathML musi by\u0107 zamkni\u0119ty w elemencie \u003Cmath\u003E, a nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathML.js");
diff --git a/localization/pl/MathMenu.js b/localization/pl/MathMenu.js
index ae418fbe1..a98a93f60 100644
--- a/localization/pl/MathMenu.js
+++ b/localization/pl/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Poka\u017C wzory jako",MathMLcode:"Kod MathML",OriginalMathML:"Oryginalny MathML",TeXCommands:"Komendy TeX",AsciiMathInput:"Wej\u015Bcie AsciiMathML",Original:"Oryginalny formularz",ErrorMessage:"Komunikat o b\u0142\u0119dzie",texHints:"Poka\u017C wskaz\u00F3wki TeX w MathML",Settings:"Ustawienia matematyki",ZoomTrigger:"Zwi\u0119kszanie zoomu",Hover:"Podnie\u015B kursor",Click:"Kliknij",DoubleClick:"Kliknij dwukrotnie",NoZoom:"Bez zooma",TriggerRequires:"Wymaga:",Option:"Opcja",Alt:"Alt",Command:"Komenda",Control:"Kontrola",Shift:"Shift",ZoomFactor:"Wsp\u00F3\u0142czynnik powi\u0119kszenia",Renderer:"Renderowanie matematyki",MPHandles:"Obs\u0142u\u017C MathPlayer",MenuEvents:"Zdarzenia menu",MouseEvents:"Zdarzenia myszy",MenuAndMouse:"Zdarzenia myszy i menu",FontPrefs:"Ustawienia czcionek",ForHTMLCSS:"Dla HTML-CSS:",Auto:"Automatycznie",TeXLocal:"TeX (lokalny)",TeXWeb:"TeX (www)",TeXImage:"TeX (obraz)",STIXLocal:"STIX (lokalny)",ContextMenu:"Menu kontekstowe",Browser:"Przegl\u0105darka",Scale:"Skaluje wszystkie matematyczne...",Discoverable:"Podkre\u015Bl po najechaniu kursora",Locale:"J\u0119zyk",LoadLocale:"Pobierz z URL...",About:"O MathJax",Help:"Pomoc MathJax",localTeXfonts:"U\u017Cyj lokalnej czcionki TeX",webTeXfonts:"U\u017Cyj internetowej czcionki TeX",imagefonts:"U\u017Cyj czcionki obrazkowej",localSTIXfonts:"U\u017Cyj lokalnej czcionki STIX",webSVGfonts:"U\u017Cyj internetowej czcionki SVG",genericfonts:"U\u017Cyj generowanej czcionki unicode",wofforotffonts:"czcionki WOFF lub OTF",eotffonts:"czcionki EOT",svgfonts:"czcionki SVG",WebkitNativeMMLWarning:"Twoja przegl\u0105darka nie obs\u0142uguje MathML, wi\u0119c zmiana wyj\u015Bcia do MathML mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",MSIENativeMMLWarning:"Program Internet Explorer wymaga wtyczki MathPlayer do procesu wy\u015Bwietlania MathML.",OperaNativeMMLWarning:"Wsparcie dla MathML w Operze jest ograniczone. W zwi\u0105zku z tym zmiana wyj\u015Bcia na MathML mo\u017Ce spowodowa\u0107, \u017Ce niekt\u00F3re strony b\u0119d\u0105 niemo\u017Cliwe do odczytania.",SafariNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",FirefoxNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",MSIESVGWarning:"SVG nie jest zaimplementowane w Internet Explorerze do wersji 9 lub podczas emulowania IE8 lub poni\u017Cej, wi\u0119c zmiana wyj\u015Bcia do SVG mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",LoadURL:"Za\u0142aduj t\u0142umaczenie z tego URL:",BadURL:'Adres URL powinien by\u0107 dla pliku JavaScript, kt\u00F3ry definiuje dane t\u0142umaczenie MathJax. Pliki JavaScript powinny ko\u0144czy\u0107 si\u0119 ".js"',BadData:"Nie mo\u017Cna za\u0142adowa\u0107 danych t\u0142umacze\u0144 z  %1",SwitchAnyway:"Na pewno zmieni\u0107 renderer ?\n\n(Naci\u015Bnij OK a\u017Ceby zmieni\u0107, lub CANCEL aby kontynuowa\u0107 z aktualnym rendererem)",ScaleMath:"Skaluj wszystkie wyra\u017Cenia matematyczne (por\u00F3wnane do otaczaj\u0105cego tekstu) przez",NonZeroScale:"Warto\u015B\u0107 nie powinna by\u0107 zerowa",PercentScale:"Warto\u015B\u0107 powinna by\u0107 w procentach (na przyk\u0142ad 120%%)",IE8warning:"Ta opcja wy\u0142\u0105czy obs\u0142ug\u0119 menu i powi\u0119kszania w MathJax, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu MathJax.\n\nCzy na pewno chcesz zmieni\u0107 ustawienia MathPlayer?",IE9warning:"Menu kontekstowe MathJax zostanie wy\u0142\u0105czone, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu.",NoOriginalForm:"Brak wzor\u00F3w w oryginalnej postaci",Close:"Zamknij",EqSource:"\u0179r\u00F3d\u0142o wzoru MathJax",Annotation:"Adnotacja",TeX:"TeX",StarMath:"StarMath",Maple:"Klon",ContentMathML:"Zawarto\u015B\u0107 MathML",OpenMath:"OpenMath"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathMenu.js");
+MathJax.Localization.addTranslation("pl","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Poka\u017C wzory jako",MathMLcode:"Kod MathML",OriginalMathML:"Oryginalny MathML",TeXCommands:"Komendy TeX",AsciiMathInput:"Wej\u015Bcie AsciiMathML",Original:"Oryginalny formularz",ErrorMessage:"Komunikat o b\u0142\u0119dzie",Annotation:"Adnotacja",TeX:"TeX",StarMath:"StarMath",Maple:"Klon",ContentMathML:"Zawarto\u015B\u0107 MathML",OpenMath:"OpenMath",texHints:"Poka\u017C wskaz\u00F3wki TeX w MathML",Settings:"Ustawienia matematyki",ZoomTrigger:"Zwi\u0119kszanie zoomu",Hover:"Podnie\u015B kursor",Click:"Kliknij",DoubleClick:"Kliknij dwukrotnie",NoZoom:"Bez zooma",TriggerRequires:"Wymaga:",Option:"Opcja",Alt:"Alt",Command:"Komenda",Control:"Kontrola",Shift:"Shift",ZoomFactor:"Wsp\u00F3\u0142czynnik powi\u0119kszenia",Renderer:"Renderowanie matematyki",MPHandles:"Obs\u0142u\u017C MathPlayer",MenuEvents:"Zdarzenia menu",MouseEvents:"Zdarzenia myszy",MenuAndMouse:"Zdarzenia myszy i menu",FontPrefs:"Ustawienia czcionek",ForHTMLCSS:"Dla HTML-CSS:",Auto:"Automatycznie",TeXLocal:"TeX (lokalny)",TeXWeb:"TeX (www)",TeXImage:"TeX (obraz)",STIXLocal:"STIX (lokalny)",ContextMenu:"Menu kontekstowe",Browser:"Przegl\u0105darka",Scale:"Skaluje wszystkie matematyczne...",Discoverable:"Podkre\u015Bl po najechaniu kursora",Locale:"J\u0119zyk",LoadLocale:"Pobierz z URL...",About:"O MathJax",Help:"Pomoc MathJax",localTeXfonts:"U\u017Cyj lokalnej czcionki TeX",webTeXfonts:"U\u017Cyj internetowej czcionki TeX",imagefonts:"U\u017Cyj czcionki obrazkowej",localSTIXfonts:"U\u017Cyj lokalnej czcionki STIX",webSVGfonts:"U\u017Cyj internetowej czcionki SVG",genericfonts:"U\u017Cyj generowanej czcionki unicode",wofforotffonts:"czcionki WOFF lub OTF",eotffonts:"czcionki EOT",svgfonts:"czcionki SVG",WebkitNativeMMLWarning:"Twoja przegl\u0105darka nie obs\u0142uguje MathML, wi\u0119c zmiana wyj\u015Bcia do MathML mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",MSIENativeMMLWarning:"Program Internet Explorer wymaga wtyczki MathPlayer do procesu wy\u015Bwietlania MathML.",OperaNativeMMLWarning:"Wsparcie dla MathML w Operze jest ograniczone. W zwi\u0105zku z tym zmiana wyj\u015Bcia na MathML mo\u017Ce spowodowa\u0107, \u017Ce niekt\u00F3re strony b\u0119d\u0105 niemo\u017Cliwe do odczytania.",SafariNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",FirefoxNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",MSIESVGWarning:"SVG nie jest zaimplementowane w Internet Explorerze do wersji 9 lub podczas emulowania IE8 lub poni\u017Cej, wi\u0119c zmiana wyj\u015Bcia do SVG mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",LoadURL:"Za\u0142aduj t\u0142umaczenie z tego URL:",BadURL:'Adres URL powinien by\u0107 dla pliku JavaScript, kt\u00F3ry definiuje dane t\u0142umaczenie MathJax. Pliki JavaScript powinny ko\u0144czy\u0107 si\u0119 ".js"',BadData:"Nie mo\u017Cna za\u0142adowa\u0107 danych t\u0142umacze\u0144 z  %1",SwitchAnyway:"Na pewno zmieni\u0107 renderer ?\n\n(Naci\u015Bnij OK a\u017Ceby zmieni\u0107, lub CANCEL aby kontynuowa\u0107 z aktualnym rendererem)",ScaleMath:"Skaluj wszystkie wyra\u017Cenia matematyczne (por\u00F3wnane do otaczaj\u0105cego tekstu) przez",NonZeroScale:"Warto\u015B\u0107 nie powinna by\u0107 zerowa",PercentScale:"Warto\u015B\u0107 powinna by\u0107 w procentach (na przyk\u0142ad 120%%)",IE8warning:"Ta opcja wy\u0142\u0105czy obs\u0142ug\u0119 menu i powi\u0119kszania w MathJax, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu MathJax.\n\nCzy na pewno chcesz zmieni\u0107 ustawienia MathPlayer?",IE9warning:"Menu kontekstowe MathJax zostanie wy\u0142\u0105czone, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu.",NoOriginalForm:"Brak wzor\u00F3w w oryginalnej postaci",Close:"Zamknij",EqSource:"\u0179r\u00F3d\u0142o wzoru MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathMenu.js");
diff --git a/localization/pl/TeX.js b/localization/pl/TeX.js
index 4fbcca903..5080a1c4d 100644
--- a/localization/pl/TeX.js
+++ b/localization/pl/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy",ExtraCloseMissingOpen:"Nadmiarowy nawias zamykaj\u0105cy lub brakuj\u0105cy nawias otwieraj\u0105cy",MissingLeftExtraRight:"Brakuj\u0105cy \\left lub nadmiarowy \\right",MissingScript:"Brakuj\u0105cy argument dla indeksu dolnego lub g\u00F3rnego",ExtraLeftMissingRight:"Nadmiarowy \\left lub brakuj\u0105cy \\right",Misplaced:"\u0179le umiejscowiony %1",MissingOpenForSub:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu dolnego",MissingOpenForSup:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu g\u00F3rnego",AmbiguousUseOf:"Nierozpoznane u\u017Cycie %1",EnvBadEnd:"\\begin{%1} zosta\u0142 zako\u0144czony \\end{%2}",EnvMissingEnd:"Brakuje \\end{%1}",MissingBoxFor:"Brakuje pude\u0142ka (box) dla %1",MissingCloseBrace:"Brakuje nawiasu zamykaj\u0105cego",UndefinedControlSequence:"Nieznana komenda steruj\u0105ca %1",DoubleExponent:"Podw\u00F3jna pot\u0119ga: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleSubscripts:"Podw\u00F3jny indeks: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleExponentPrime:"Znak ' oznacza podw\u00F3jny wyk\u0142adnik: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",CantUseHash1:"Nie mo\u017Cesz u\u017Cywa\u0107 znaku # w trybie matematycznym",MisplacedMiddle:"%1 musi by\u0107 pomi\u0119dzy \\left i \\right",MisplacedLimits:"%1 jest dozwolony tylko dla operator\u00F3w",MisplacedMoveRoot:"%1 mo\u017Ce pojawi\u0107 si\u0119 tylko w ramach korzenia (root)",MultipleCommand:"Wielokrotny %1",IntegerArg:"Parametr dla %1 musi by\u0107 liczb\u0105 ca\u0142kowit\u0105",NotMathMLToken:"%1 nie jest elementem typu token",InvalidMathMLAttr:"Nieprawid\u0142owy atrybut MathML: %1",UnknownAttrForElement:"%1 nie jest znanym atrybutem dla %2",MaxMacroSub1:"Przekroczono maksymaln\u0105 liczb\u0119 wywo\u0142a\u0144 makra; czy wyst\u0119puje rekursywne makro?",MaxMacroSub2:"Przekroczono maksymaln\u0105 liczb\u0119 zast\u0105pie\u0144; czy wyst\u0119puje rekursywne \u015Brodowisko latex?",MissingArgFor:"Brakuje argumentu dla %1",ExtraAlignTab:"Nadmiarowy tabulator w \\cases",BracketMustBeDimension:"Argument w nawiasie dla %1 musi by\u0107 wymiarem",InvalidEnv:"Nieznana nazwa \u015Brodowiska '%1'",UnknownEnv:"Nieznane \u015Brodowisko '%1'",ExtraCloseLooking:"Nadmiarowy nawias zamykaj\u0105cy napotkany w czasie poszukiwania %1",MissingCloseBracket:"Nie odnaleziono zamykaj\u0105cego nawiasu ']' dla argumentu dla %1",MissingOrUnrecognizedDelim:"Nieodnaleziony lub nierozpoznany separator dla %1",MissingDimOrUnits:"Brakuje wymiaru lub jego jednostki dla %1",TokenNotFoundForCommand:"Nie odnaleziono %1 dla %2",MathNotTerminated:"Nie odnaleziono zako\u0144czenia w polu tekstowym",IllegalMacroParam:"Nieprawid\u0142owa referencja do parametru makra",MaxBufferSize:"Przekroczono rozmiar bufora MathJax, czy istnieje rekursywne wywo\u0142anie makra?",CommandNotAllowedInEnv:"%1 nie jest dozwolony w \u015Brodowisku %2",MultipleLabel:"Wielokrotna definicja etykiety '%1'",CommandAtTheBeginingOfLine:"%1 musi znajdowa\u0107 si\u0119 na pocz\u0105tku linii",IllegalAlign:"Nieprawid\u0142owy argument dla %1",BadMathStyleFor:"B\u0142\u0119dny styl dla %1",PositiveIntegerArg:"Argument dla %1 musi by\u0107 dodatni\u0105 liczb\u0105 ca\u0142kowit\u0105",ErroneousNestingEq:"B\u0142\u0119dne zagnie\u017Cd\u017Cenie wyra\u017Ce\u0144",MultlineRowsOneCol:"Wiersze w \u015Brodowisku %1 musz\u0105 mie\u0107 dok\u0142adnie jedn\u0105 kolumn\u0119",MultipleBBoxProperty:"%1 okre\u015Blony dwa razy w %2",InvalidBBoxProperty:"'%1' nie jest kolorem, wielko\u015Bci\u0105 odst\u0119pu, ani stylem",ExtraEndMissingBegin:"Nadmiarowy %1 lub brakuj\u0105cy \\begingroup",GlobalNotFollowedBy:"Po %1 nie wyst\u0119puje \\let, \\def, ani \\newcommand",UndefinedColorModel:"Przestrze\u0144 barw '%1' nie jest zdefiniowana",ModelArg1:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 wymagaj\u0105 3 liczb",InvalidDecimalNumber:"Nieprawid\u0142owe liczba dziesi\u0119tna",ModelArg2:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 musz\u0105 by\u0107 pomi\u0119dzy %2 i %3",InvalidNumber:"B\u0142\u0119dna liczba",NewextarrowArg1:"Pierwszy argument dla %1 musi by\u0107 nazw\u0105 sekwencji kontrolnej",NewextarrowArg2:"Drugi argumentem dla %1 musz\u0105 by\u0107 dwie liczby ca\u0142kowite oddzielone przecinkiem",NewextarrowArg3:"Trzeci argument dla %1 musi by\u0107 numerem znaku unicode",NoClosingChar:"Nie mo\u017Cna odnale\u017A\u0107 zamykaj\u0105cego %1",IllegalControlSequenceName:"Nieprawid\u0142owa nazwa sekwencji kontrolnej dla %1",IllegalParamNumber:"Nieprawid\u0142owa liczba parametr\u00F3w dla %1",CantUseHash2:"Nieprawid\u0142owe u\u017Cycie # w szablonie dla %1",SequentialParam:"Parametry dla %1 musz\u0105 by\u0107 ponumerowane rosn\u0105co",MissingReplacementString:"Brak \u0142a\u0144cucha zamiennego dla definicji %1",MismatchUseDef:"U\u017Cycie %1 niezgodne z definicj\u0105",RunawayArgument:"Zgin\u0105\u0142 argument dla %1?",NoClosingDelim:"Nie mo\u017Cna znale\u017A\u0107\u00A0ko\u0144cz\u0105cego separatora dla %1",MissingCS:"Po %1 musi wyst\u0105pi\u0107 sekwencja kontrolna"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/TeX.js");
+MathJax.Localization.addTranslation("pl","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy",ExtraCloseMissingOpen:"Nadmiarowy nawias zamykaj\u0105cy lub brakuj\u0105cy nawias otwieraj\u0105cy",MissingLeftExtraRight:"Brakuj\u0105cy \\left lub nadmiarowy \\right",MissingScript:"Brakuj\u0105cy argument dla indeksu dolnego lub g\u00F3rnego",ExtraLeftMissingRight:"Nadmiarowy \\left lub brakuj\u0105cy \\right",Misplaced:"\u0179le umiejscowiony %1",MissingOpenForSub:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu dolnego",MissingOpenForSup:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu g\u00F3rnego",AmbiguousUseOf:"Nierozpoznane u\u017Cycie %1",EnvBadEnd:"\\begin{%1} zosta\u0142 zako\u0144czony \\end{%2}",EnvMissingEnd:"Brakuje \\end{%1}",MissingBoxFor:"Brakuje pude\u0142ka (box) dla %1",MissingCloseBrace:"Brakuje nawiasu zamykaj\u0105cego",UndefinedControlSequence:"Nieznana komenda steruj\u0105ca %1",DoubleExponent:"Podw\u00F3jna pot\u0119ga: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleSubscripts:"Podw\u00F3jny indeks: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleExponentPrime:"Znak ' oznacza podw\u00F3jny wyk\u0142adnik: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",CantUseHash1:"Nie mo\u017Cesz u\u017Cywa\u0107 znaku # w trybie matematycznym",MisplacedMiddle:"%1 musi by\u0107 pomi\u0119dzy \\left i \\right",MisplacedLimits:"%1 jest dozwolony tylko dla operator\u00F3w",MisplacedMoveRoot:"%1 mo\u017Ce pojawi\u0107 si\u0119 tylko w ramach korzenia (root)",MultipleCommand:"Wielokrotny %1",IntegerArg:"Parametr dla %1 musi by\u0107 liczb\u0105 ca\u0142kowit\u0105",NotMathMLToken:"%1 nie jest elementem typu token",InvalidMathMLAttr:"Nieprawid\u0142owy atrybut MathML: %1",UnknownAttrForElement:"%1 nie jest znanym atrybutem dla %2",MaxMacroSub1:"Przekroczono maksymaln\u0105 liczb\u0119 wywo\u0142a\u0144 makra; czy wyst\u0119puje rekursywne makro?",MaxMacroSub2:"Przekroczono maksymaln\u0105 liczb\u0119 zast\u0105pie\u0144; czy wyst\u0119puje rekursywne \u015Brodowisko latex?",MissingArgFor:"Brakuje argumentu dla %1",ExtraAlignTab:"Nadmiarowy tabulator w \\cases",BracketMustBeDimension:"Argument w nawiasie dla %1 musi by\u0107 wymiarem",InvalidEnv:"Nieznana nazwa \u015Brodowiska '%1'",UnknownEnv:"Nieznane \u015Brodowisko '%1'",ExtraCloseLooking:"Nadmiarowy nawias zamykaj\u0105cy napotkany w czasie poszukiwania %1",MissingCloseBracket:"Nie odnaleziono zamykaj\u0105cego nawiasu ']' dla argumentu dla %1",MissingOrUnrecognizedDelim:"Nieodnaleziony lub nierozpoznany separator dla %1",MissingDimOrUnits:"Brakuje wymiaru lub jego jednostki dla %1",TokenNotFoundForCommand:"Nie odnaleziono %1 dla %2",MathNotTerminated:"Nie odnaleziono zako\u0144czenia w polu tekstowym",IllegalMacroParam:"Nieprawid\u0142owa referencja do parametru makra",MaxBufferSize:"Przekroczono rozmiar bufora MathJax, czy istnieje rekursywne wywo\u0142anie makra?",CommandNotAllowedInEnv:"%1 nie jest dozwolony w \u015Brodowisku %2",MultipleLabel:"Wielokrotna definicja etykiety '%1'",CommandAtTheBeginingOfLine:"%1 musi znajdowa\u0107 si\u0119 na pocz\u0105tku linii",IllegalAlign:"Nieprawid\u0142owy argument dla %1",BadMathStyleFor:"B\u0142\u0119dny styl dla %1",PositiveIntegerArg:"Argument dla %1 musi by\u0107 dodatni\u0105 liczb\u0105 ca\u0142kowit\u0105",ErroneousNestingEq:"B\u0142\u0119dne zagnie\u017Cd\u017Cenie wyra\u017Ce\u0144",MultlineRowsOneCol:"Wiersze w \u015Brodowisku %1 musz\u0105 mie\u0107 dok\u0142adnie jedn\u0105 kolumn\u0119",MultipleBBoxProperty:"%1 okre\u015Blony dwa razy w %2",InvalidBBoxProperty:"'%1' nie jest kolorem, wielko\u015Bci\u0105 odst\u0119pu, ani stylem",ExtraEndMissingBegin:"Nadmiarowy %1 lub brakuj\u0105cy \\begingroup",GlobalNotFollowedBy:"Po %1 nie wyst\u0119puje \\let, \\def, ani \\newcommand",UndefinedColorModel:"Przestrze\u0144 barw '%1' nie jest zdefiniowana",ModelArg1:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 wymagaj\u0105 3 liczb",InvalidDecimalNumber:"Nieprawid\u0142owe liczba dziesi\u0119tna",ModelArg2:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 musz\u0105 by\u0107 pomi\u0119dzy %2 i %3",InvalidNumber:"B\u0142\u0119dna liczba",NewextarrowArg1:"Pierwszy argument dla %1 musi by\u0107 nazw\u0105 sekwencji kontrolnej",NewextarrowArg2:"Drugi argumentem dla %1 musz\u0105 by\u0107 dwie liczby ca\u0142kowite oddzielone przecinkiem",NewextarrowArg3:"Trzeci argument dla %1 musi by\u0107 numerem znaku unicode",NoClosingChar:"Nie mo\u017Cna odnale\u017A\u0107 zamykaj\u0105cego %1",IllegalControlSequenceName:"Nieprawid\u0142owa nazwa sekwencji kontrolnej dla %1",IllegalParamNumber:"Nieprawid\u0142owa liczba parametr\u00F3w dla %1",MissingCS:"Po %1 musi wyst\u0105pi\u0107 sekwencja kontrolna",CantUseHash2:"Nieprawid\u0142owe u\u017Cycie # w szablonie dla %1",SequentialParam:"Parametry dla %1 musz\u0105 by\u0107 ponumerowane rosn\u0105co",MissingReplacementString:"Brak \u0142a\u0144cucha zamiennego dla definicji %1",MismatchUseDef:"U\u017Cycie %1 niezgodne z definicj\u0105",RunawayArgument:"Zgin\u0105\u0142 argument dla %1?",NoClosingDelim:"Nie mo\u017Cna znale\u017A\u0107\u00A0ko\u0144cz\u0105cego separatora dla %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/TeX.js");
diff --git a/localization/pl/pl.js b/localization/pl/pl.js
index fcb9ae04d..b6790ef31 100644
--- a/localization/pl/pl.js
+++ b/localization/pl/pl.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl",null,{menuTitle:"polski",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)",MathProcessingError:"B\u0142\u0105d podczas przetwarzania wzor\u00F3w matematycznych",MathError:"B\u0142\u0105d we wzorze matematycznym",LoadFile:"\u0141aduj\u0119 %1",Loading:"\u0141aduj\u0119",LoadFailed:"Nie uda\u0142o si\u0119 za\u0142adowa\u0107 pliku: %1",ProcessMath:"Przetwarzam wzory matematyczne: %1%%",Processing:"Przetwarzam",TypesetMath:"Przetwarzam wzory matematyczne: %1%%",Typesetting:"Przetwarzam",MathJaxNotSupported:"MathJax nie obs\u0142uguje Twojej przegl\u0105darki"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a==1){return 0}else{if(a%10>=2&&a%10<=4&&(a%100<10||a%100>=20)){return 1}else{return 2}}},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/pl.js");
+MathJax.Localization.addTranslation("pl",null,{menuTitle:"polski",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)",MathProcessingError:"B\u0142\u0105d podczas przetwarzania wzor\u00F3w matematycznych",MathError:"B\u0142\u0105d we wzorze matematycznym",LoadFile:"\u0141aduj\u0119 %1",Loading:"\u0141aduj\u0119",LoadFailed:"Nie uda\u0142o si\u0119 za\u0142adowa\u0107 pliku: %1",ProcessMath:"Przetwarzam wzory matematyczne: %1%%",Processing:"Przetwarzam",TypesetMath:"Przetwarzam wzory matematyczne: %1%%",Typesetting:"Przetwarzam",MathJaxNotSupported:"Twoja przegl\u0105darka nie obs\u0142uguje MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a==1){return 1}else{if(a%10>=2&&a%10<=4&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/pl.js");
diff --git a/localization/pt-br/FontWarnings.js b/localization/pt-br/FontWarnings.js
index d755ce058..8fcc2c897 100644
--- a/localization/pt-br/FontWarnings.js
+++ b/localization/pt-br/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1).  Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/FontWarnings.js");
+MathJax.Localization.addTranslation("pt-br","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permitem que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1).  Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/FontWarnings.js");
diff --git a/localization/pt-br/HTML-CSS.js b/localization/pt-br/HTML-CSS.js
index 6fed55194..28d2dbeb6 100644
--- a/localization/pt-br/HTML-CSS.js
+++ b/localization/pt-br/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HTML-CSS.js");
+MathJax.Localization.addTranslation("pt-br","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HTML-CSS.js");
diff --git a/localization/pt-br/HelpDialog.js b/localization/pt-br/HelpDialog.js
index 88c6233ad..0f71a7371 100644
--- a/localization/pt-br/HelpDialog.js
+++ b/localization/pt-br/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HelpDialog.js");
+MathJax.Localization.addTranslation("pt-br","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HelpDialog.js");
diff --git a/localization/pt-br/MathML.js b/localization/pt-br/MathML.js
index 84999a148..6aa65bc11 100644
--- a/localization/pt-br/MathML.js
+++ b/localization/pt-br/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o\nbot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para\n'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao interpretar MathML",ParsingError:"Erro ao interpretar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathML.js");
+MathJax.Localization.addTranslation("pt-br","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao interpretar MathML",ParsingError:"Erro ao interpretar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathML.js");
diff --git a/localization/pt-br/MathMenu.js b/localization/pt-br/MathMenu.js
index b7325c9ac..adf4d4d8b 100644
--- a/localization/pt-br/MathMenu.js
+++ b/localization/pt-br/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Mostrar F\u00F3rmulas Como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Disparador do zoom",Hover:"Passar o mouse",Click:"Clique",DoubleClick:"Clique duplo",NoZoom:"Sem zoom",TriggerRequires:"O Disparador Requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de Menu",MouseEvents:"Eventos de Mouse",MenuAndMouse:"Eventos de Mouse e de Menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",ContextMenu:"Menu de Contexto",Browser:"Navegador",Scale:"Redimensionar Todas as F\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"Idioma",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes woff ou otf",eotffonts:"fontes eot",svgfonts:"fontes svg",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo a MathML em seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte a MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte a MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte a MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"Fonte da Equa\u00E7\u00E3o do MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathMenu.js");
+MathJax.Localization.addTranslation("pt-br","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Mostrar F\u00F3rmulas Como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Disparador do zoom",Hover:"Passar o mouse",Click:"Clique",DoubleClick:"Clique duplo",NoZoom:"Sem zoom",TriggerRequires:"O Disparador Requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de Menu",MouseEvents:"Eventos de Mouse",MenuAndMouse:"Eventos de Mouse e de Menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latim Moderno (Web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de Contexto",Browser:"Navegador",Scale:"Redimensionar Todas as F\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"Idioma",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes woff ou otf",eotffonts:"fontes eot",svgfonts:"fontes svg",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo ao MathML em seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"Fonte da Equa\u00E7\u00E3o do MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathMenu.js");
diff --git a/localization/pt-br/TeX.js b/localization/pt-br/TeX.js
index 35d1e07e9..03586e916 100644
--- a/localization/pt-br/TeX.js
+++ b/localization/pt-br/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobrou uma chave de abertura ou faltou uma de fechamento",ExtraCloseMissingOpen:"Sobrou uma chave de fechamento ou faltou uma de abertura",MissingLeftExtraRight:"Faltou um \\left ou sobrou um \\right",MissingScript:"Faltou o argumento de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Sobrou um \\left ou faltou um \\right",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Faltou uma chave de abertura para o subscrito",MissingOpenForSup:"Faltou uma chave de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"Faltou \\end{%1}",MissingBoxFor:"Faltou uma caixa para %1",MissingCloseBrace:"Faltou uma chave de fechamento",UndefinedControlSequence:"Sequ\u00EAncia de controle indefinida %1",DoubleExponent:"Expoente duplo: utilize chaves para esclarecer",DoubleSubscripts:"Subscrito duplo: utilize chaves para esclarecer",DoubleExponentPrime:"Prime causa expoente duplo: utilize chaves para esclarecer",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido nos operadores",MisplacedMoveRoot:"%1 pode aparecer somente dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente latex recursivo?",MissingArgFor:"Faltou um argumento para %1",ExtraAlignTab:"Sobrou um tab de alinhamento no texto de \\cases",BracketMustBeDimension:"O argumento nos colchetes de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido '%1'",UnknownEnv:"Ambiente desconhecido '%1'",ExtraCloseLooking:"Sobrou uma chave de fechamento ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fechamento para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 ausente ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Faltou a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais de uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmulas matem\u00E1ticas ruim para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o para padding, nem um estilo",ExtraEndMissingBegin:"Sobrou um %1 ou faltou um \\begingroup",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"Os valores de cor para o modelo %1 exigem 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controle",NewextarrowArg2:"O segundo argumento de %1 deve ser composto de dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o n\u00FAmero de um caractere unicode",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fechamento",IllegalControlSequenceName:"Nome ilegal para uma sequ\u00EAncia de controle de %1",IllegalParamNumber:"N\u00FAmero ilegal de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controle",CantUseHash2:"Uso ilegal de # em um modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Faltou a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o est\u00E1 de acordo com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento extra para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fechamento para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/TeX.js");
+MathJax.Localization.addTranslation("pt-br","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobrou uma chave de abertura ou faltou uma de fechamento",ExtraCloseMissingOpen:"Sobrou uma chave de fechamento ou faltou uma de abertura",MissingLeftExtraRight:"Faltou um \\left ou sobrou um \\right",MissingScript:"Faltou o argumento de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Sobrou um \\left ou faltou um \\right",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Faltou uma chave de abertura para o subscrito",MissingOpenForSup:"Faltou uma chave de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"Faltou \\end{%1}",MissingBoxFor:"Faltou uma caixa para %1",MissingCloseBrace:"Faltou uma chave de fechamento",UndefinedControlSequence:"Sequ\u00EAncia de controle indefinida %1",DoubleExponent:"Expoente duplo: utilize chaves para esclarecer",DoubleSubscripts:"Subscrito duplo: utilize chaves para esclarecer",DoubleExponentPrime:"Prime causa expoente duplo: utilize chaves para esclarecer",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido nos operadores",MisplacedMoveRoot:"%1 pode aparecer somente dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente latex recursivo?",MissingArgFor:"Faltou um argumento para %1",ExtraAlignTab:"Sobrou um tab de alinhamento no texto de \\cases",BracketMustBeDimension:"O argumento nos colchetes de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido '%1'",UnknownEnv:"Ambiente desconhecido '%1'",ExtraCloseLooking:"Sobrou uma chave de fechamento ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fechamento para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 ausente ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Faltou a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais de uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmulas matem\u00E1ticas ruim para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o para padding, nem um estilo",ExtraEndMissingBegin:"Sobrou um %1 ou faltou um \\begingroup",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"Os valores de cor para o modelo %1 exigem 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controle",NewextarrowArg2:"O segundo argumento de %1 deve ser composto de dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o n\u00FAmero de um caractere unicode",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fechamento",IllegalControlSequenceName:"Nome ilegal para uma sequ\u00EAncia de controle de %1",IllegalParamNumber:"N\u00FAmero ilegal de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controle",CantUseHash2:"Uso ilegal de # em um modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Faltou a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o est\u00E1 de acordo com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento extra para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fechamento para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/TeX.js");
diff --git a/localization/pt-br/pt-br.js b/localization/pt-br/pt-br.js
index 3385d28c5..717ff7f4c 100644
--- a/localization/pt-br/pt-br.js
+++ b/localization/pt-br/pt-br.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br",null,{menuTitle:"portugu\u00EAs do Brasil",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no Processamento das F\u00F3rmulas",MathError:"Erro nas F\u00F3rmulas",LoadFile:"Carregando %1",Loading:"Carregando",LoadFailed:"O arquivo n\u00E3o pode ser carregado: %1",ProcessMath:"Processando F\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Realizando a Diagrama\u00E7\u00E3o das F\u00F3rmulas: %1%%",Typesetting:"Realizando a Diagrama\u00E7\u00E3o",MathJaxNotSupported:"Seu navegador n\u00E3o suporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/pt-br.js");
+MathJax.Localization.addTranslation("pt-br",null,{menuTitle:"portugu\u00EAs do Brasil",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no Processamento das F\u00F3rmulas",MathError:"Erro nas F\u00F3rmulas",LoadFile:"Carregando %1",Loading:"Carregando",LoadFailed:"O arquivo n\u00E3o pode ser carregado: %1",ProcessMath:"Processando F\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Realizando a Diagrama\u00E7\u00E3o das F\u00F3rmulas: %1%%",Typesetting:"Realizando a Diagrama\u00E7\u00E3o",MathJaxNotSupported:"Seu navegador n\u00E3o suporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/pt-br.js");
diff --git a/localization/pt/FontWarnings.js b/localization/pt/FontWarnings.js
index a2fe21aa3..1e2134444 100644
--- a/localization/pt/FontWarnings.js
+++ b/localization/pt/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1).  Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/FontWarnings.js");
+MathJax.Localization.addTranslation("pt","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permitem que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1).  Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/FontWarnings.js");
diff --git a/localization/pt/HTML-CSS.js b/localization/pt/HTML-CSS.js
index 63ab1d9b8..ee36082f5 100644
--- a/localization/pt/HTML-CSS.js
+++ b/localization/pt/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HTML-CSS.js");
+MathJax.Localization.addTranslation("pt","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HTML-CSS.js");
diff --git a/localization/pt/HelpDialog.js b/localization/pt/HelpDialog.js
index efd60e499..f7dd4c4ce 100644
--- a/localization/pt/HelpDialog.js
+++ b/localization/pt/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HelpDialog.js");
+MathJax.Localization.addTranslation("pt","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HelpDialog.js");
diff --git a/localization/pt/MathML.js b/localization/pt/MathML.js
index 087806f3e..8ff9f9510 100644
--- a/localization/pt/MathML.js
+++ b/localization/pt/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o\nbot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para\n'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao interpretar MathML",ParsingError:"Erro ao interpretar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathML.js");
+MathJax.Localization.addTranslation("pt","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao processar MathML",ParsingError:"Erro ao processar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathML.js");
diff --git a/localization/pt/MathMenu.js b/localization/pt/MathMenu.js
index 7a27a9ebd..2f0397546 100644
--- a/localization/pt/MathMenu.js
+++ b/localization/pt/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Mostrar F\u00F3rmulas Como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Disparador do zoom",Hover:"Passar o mouse",Click:"Clique",DoubleClick:"Clique duplo",NoZoom:"Sem zoom",TriggerRequires:"O Disparador Requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de Menu",MouseEvents:"Eventos de Mouse",MenuAndMouse:"Eventos de Mouse e de Menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",ContextMenu:"Menu de Contexto",Browser:"Navegador",Scale:"Redimensionar Todas as F\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"Idioma",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes woff ou otf",eotffonts:"fontes eot",svgfonts:"fontes svg",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo a MathML em seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte a MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte a MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte a MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"Fonte da Equa\u00E7\u00E3o do MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathMenu.js");
+MathJax.Localization.addTranslation("pt","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Mostrar f\u00F3rmulas como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Ativador do zoom",Hover:"Passar o cursor",Click:"Clique",DoubleClick:"Duplo clique",NoZoom:"Sem zoom",TriggerRequires:"O ativador requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de menu",MouseEvents:"Eventos do rato",MenuAndMouse:"Eventos do rato e de menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de contexto",Browser:"Navegador",Scale:"Redimensionar todas as f\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"L\u00EDngua",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes woff ou otf",eotffonts:"fontes eot",svgfonts:"fontes svg",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo ao MathML em seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"C\u00F3digo de equa\u00E7\u00E3o MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathMenu.js");
diff --git a/localization/pt/TeX.js b/localization/pt/TeX.js
index 178743fcf..51576eb28 100644
--- a/localization/pt/TeX.js
+++ b/localization/pt/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobrou uma chave de abertura ou faltou uma de fechamento",ExtraCloseMissingOpen:"Sobrou uma chave de fechamento ou faltou uma de abertura",MissingLeftExtraRight:"Faltou um \\left ou sobrou um \\right",MissingScript:"Faltou o argumento de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Sobrou um \\left ou faltou um \\right",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Faltou uma chave de abertura para o subscrito",MissingOpenForSup:"Faltou uma chave de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"Faltou \\end{%1}",MissingBoxFor:"Faltou uma caixa para %1",MissingCloseBrace:"Faltou uma chave de fechamento",UndefinedControlSequence:"Sequ\u00EAncia de controle indefinida %1",DoubleExponent:"Expoente duplo: utilize chaves para esclarecer",DoubleSubscripts:"Subscrito duplo: utilize chaves para esclarecer",DoubleExponentPrime:"Prime causa expoente duplo: utilize chaves para esclarecer",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido nos operadores",MisplacedMoveRoot:"%1 pode aparecer somente dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente latex recursivo?",MissingArgFor:"Faltou um argumento para %1",ExtraAlignTab:"Sobrou um tab de alinhamento no texto de \\cases",BracketMustBeDimension:"O argumento nos colchetes de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido '%1'",UnknownEnv:"Ambiente desconhecido '%1'",ExtraCloseLooking:"Sobrou uma chave de fechamento ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fechamento para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 ausente ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Faltou a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais de uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmulas matem\u00E1ticas ruim para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o para padding, nem um estilo",ExtraEndMissingBegin:"Sobrou um %1 ou faltou um \\begingroup",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"Os valores de cor para o modelo %1 exigem 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controle",NewextarrowArg2:"O segundo argumento de %1 deve ser composto de dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o n\u00FAmero de um caractere unicode",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fechamento",IllegalControlSequenceName:"Nome ilegal para uma sequ\u00EAncia de controle de %1",IllegalParamNumber:"N\u00FAmero ilegal de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controle",CantUseHash2:"Uso ilegal de # em um modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Faltou a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o est\u00E1 de acordo com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento extra para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fechamento para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/TeX.js");
+MathJax.Localization.addTranslation("pt","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Chaveta de abertura a mais ou chaveta de fecho a menos",ExtraCloseMissingOpen:"Chaveta de fecho a mais ou chaveta de abertura a menos",MissingLeftExtraRight:"Falta um \\left ou h\u00E1 um \\right a mais",MissingScript:"Falta o valor de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Falta um \\right ou h\u00E1 um \\left a mais",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Falta a chaveta de abertura para o subscrito",MissingOpenForSup:"Falta a chaveta de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"\\end{%1} em falta",MissingBoxFor:"Falta uma caixa para %1",MissingCloseBrace:"Falta chaveta de fecho",UndefinedControlSequence:"Sequ\u00EAncia de controlo indefinida %1",DoubleExponent:"Expoente duplo: use chavetas para clarificar",DoubleSubscripts:"Subscrito duplo: use chavetas para clarificar",DoubleExponentPrime:"\u00C9 amb\u00EDguo a que diz respeito a plica (\u2032): use chavetas para clarificar",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido em operadores",MisplacedMoveRoot:"%1 s\u00F3 pode ser usado dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token v\u00E1lido",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente LaTeX recursivo?",MissingArgFor:"Falta um argumento para %1",ExtraAlignTab:"H\u00E1 um tab de alinhamento a mais no texto de \\cases",BracketMustBeDimension:"O argumento nos par\u00EAnteses retos de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido: '%1'",UnknownEnv:"Ambiente desconhecido: '%1'",ExtraCloseLooking:"Encontrada uma chaveta de fecho ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fecho para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 em falta ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Falta a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais que uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmula inv\u00E1lido para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o de espa\u00E7amento, nem um estilo",ExtraEndMissingBegin:"H\u00E1 um %1 a mais ou um \\begingroup a menos",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"O modelo %1 requer 3 n\u00FAmeros para valores de cor",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controlo",NewextarrowArg2:"O segundo argumento de %1 deve ser composto por dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o c\u00F3digo Unicode de um caractere",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fecho",IllegalControlSequenceName:"O nome da sequ\u00EAncia de controlo para %1 \u00E9 inv\u00E1lido",IllegalParamNumber:"N\u00FAmero inv\u00E1lido de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controlo",CantUseHash2:"Uso ilegal de # em modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Falta a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o condiz com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento em excesso para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fecho para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/TeX.js");
diff --git a/localization/pt/pt.js b/localization/pt/pt.js
index 3dc9e0011..249f9c7e3 100644
--- a/localization/pt/pt.js
+++ b/localization/pt/pt.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt",null,{menuTitle:"portugus\u00EA",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de utilizador que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Escolha Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro de matem\u00E1tica",LoadFile:"A carregar %1",Loading:"A carregar",LoadFailed:"O ficheiro n\u00E3o pode ser carregado: %1",ProcessMath:"Processando f\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Formatando f\u00F3rmulas: %1%%",Typesetting:"Formatando",MathJaxNotSupported:"O seu navegador n\u00E3o suporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/pt.js");
+MathJax.Localization.addTranslation("pt",null,{menuTitle:"portugus\u00EA",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de utilizador que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Escolha Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro de matem\u00E1tica",LoadFile:"A carregar %1",Loading:"A carregar",LoadFailed:"O ficheiro n\u00E3o pode ser carregado: %1",ProcessMath:"Processando f\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Formatando f\u00F3rmulas: %1%%",Typesetting:"Formatando",MathJaxNotSupported:"O seu navegador n\u00E3o suporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/pt.js");
diff --git a/localization/qqq/FontWarnings.js b/localization/qqq/FontWarnings.js
index 97b988c70..4fbabf007 100644
--- a/localization/qqq/FontWarnings.js
+++ b/localization/qqq/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"This warning is displayed by the FontWarnings extension when web-based fonts are used.",imageFonts:"This warning is displayed by the FontWarnings extension when image fonts are used.",noFonts:"This warning is displayed by the FontWarnings extension when no fonts can be used.",webFonts:"This warning is displayed by the FontWarnings extension when the browser do not support web fonts",fonts:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains both STIX and TeX.\n\nParameters:\n* %1 - URL\n* %2 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-TeXPage}}",STIXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only STIX.\n\nParameters:\n* %1 - URL",TeXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only TeX.\n\nParameters:\n* %1 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-fonts}}"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/FontWarnings.js");
+MathJax.Localization.addTranslation("qqq","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"This warning is displayed by the FontWarnings extension when web-based fonts are used.",imageFonts:"This warning is displayed by the FontWarnings extension when image fonts are used.",noFonts:"This warning is displayed by the FontWarnings extension when no fonts can be used.",webFonts:"This warning is displayed by the FontWarnings extension when the browser do not support web fonts",fonts:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains both STIX and TeX.\n\nParameters:\n* %1 - URL\n* %2 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-TeXPage}}",STIXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only STIX.\n\nParameters:\n* %1 - URL",TeXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only TeX.\n\nParameters:\n* %1 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-fonts}}"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/FontWarnings.js");
diff --git a/localization/qqq/HTML-CSS.js b/localization/qqq/HTML-CSS.js
index bbf6d1269..8e21fb386 100644
--- a/localization/qqq/HTML-CSS.js
+++ b/localization/qqq/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name",CantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font. The first argument is the font name",FirefoxCantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font in Firefox",CantFindFontUsing:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font from a given list.\n\nParameters:\n* %1 - a list of fonts tried, comma-separated",WebFontsNotAvailable:"This is displayed in MathJax message box when the HTML-CSS fails to load Web fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HTML-CSS.js");
+MathJax.Localization.addTranslation("qqq","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name",CantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font. The first argument is the font name",FirefoxCantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font in Firefox",CantFindFontUsing:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font from a given list.\n\nParameters:\n* %1 - a list of fonts tried, comma-separated",WebFontsNotAvailable:"This is displayed in MathJax message box when the HTML-CSS fails to load Web fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HTML-CSS.js");
diff --git a/localization/qqq/HelpDialog.js b/localization/qqq/HelpDialog.js
index 351609474..275b3822d 100644
--- a/localization/qqq/HelpDialog.js
+++ b/localization/qqq/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"This is the title displayed at the top of the MathJax Help dialog.",MathJax:"First paragraph of the MathJax Help dialog.\n\nStars around 'MathJax' is the Markdown syntax to put it in emphasis.",Browsers:"Second paragraph of the MathJax Help dialog.\n\nStars around 'Browsers' is the Markdown syntax to put it in emphasis.",Menu:'Third paragraph of the MathJax Help dialog.\n\nStars around \'Math Menu\' the Markdown syntax to put it in emphasis.\n\n"CTRL" refers to "Ctrl key" ("Control key").',ShowMath:"First item of the the 'Math Menu' paragraph.\n\nStars around 'Show math as' is the Markdown syntax to put it in emphasis.\n\n'Show Math as' should be consistent with {{msg-mathjax|Mathmenu-Show}}.",Settings:"Second item of the the 'Math Menu' paragraph.\n\nStars around 'Settings' is the Markdown syntax to put it in emphasis.\n\n'Settings' should be consistent with {{msg-mathjax|Mathmenu-Settings}}.",Language:"Third item of the the 'Math Menu' paragraph.\n\nStars around 'Language' is the Markdown syntax to put it in emphasis.\n\n'Language' should be consistent with {{msg-mathjax|Mathmenu-Locale}}.",Zoom:"Fourth paragraph of the MathJax Help dialog.\n\nStars around 'Math Zoom' is the Markdown syntax to put it in emphasis.\n\n'Math Zoom' should be consistent with {{msg-mathjax|Mathmenu-ZoomTrigger}} and {{msg-mathjax|Mathmenu-ZoomFactor}}.",Accessibilty:"Fifth paragraph of the MathJax Help dialog.\n\nStars around 'Accessibility' is the Markdown syntax to put it in emphasis.",Fonts:"{{doc-markdown}}\nSixth paragraph of the MathJax Help dialog.\n\nStars around 'Fonts' is the Markdown syntax to put it in emphasis.\n\n\u003Ccode\u003E[STIX fonts](%1)\u003C/code\u003E is the Markdown syntax for links.\n\nParameters:\n* %1 - a URL the STIX fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HelpDialog.js");
+MathJax.Localization.addTranslation("qqq","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"This is the title displayed at the top of the MathJax Help dialog.",MathJax:"First paragraph of the MathJax Help dialog.\n\nStars around 'MathJax' is the Markdown syntax to put it in emphasis.",Browsers:"Second paragraph of the MathJax Help dialog.\n\nStars around 'Browsers' is the Markdown syntax to put it in emphasis.",Menu:'Third paragraph of the MathJax Help dialog.\n\nStars around \'Math Menu\' the Markdown syntax to put it in emphasis.\n\n"CTRL" refers to "Ctrl key" ("Control key").',ShowMath:"First item of the the 'Math Menu' paragraph.\n\nStars around 'Show math as' is the Markdown syntax to put it in emphasis.\n\n'Show Math as' should be consistent with {{msg-mathjax|Mathmenu-Show}}.",Settings:"Second item of the the 'Math Menu' paragraph.\n\nStars around 'Settings' is the Markdown syntax to put it in emphasis.\n\n'Settings' should be consistent with {{msg-mathjax|Mathmenu-Settings}}.",Language:"Third item of the the 'Math Menu' paragraph.\n\nStars around 'Language' is the Markdown syntax to put it in emphasis.\n\n'Language' should be consistent with {{msg-mathjax|Mathmenu-Locale}}.",Zoom:"Fourth paragraph of the MathJax Help dialog.\n\nStars around 'Math Zoom' is the Markdown syntax to put it in emphasis.\n\n'Math Zoom' should be consistent with {{msg-mathjax|Mathmenu-ZoomTrigger}} and {{msg-mathjax|Mathmenu-ZoomFactor}}.",Accessibilty:"Fifth paragraph of the MathJax Help dialog.\n\nStars around 'Accessibility' is the Markdown syntax to put it in emphasis.",Fonts:"{{doc-markdown}}\nSixth paragraph of the MathJax Help dialog.\n\nStars around 'Fonts' is the Markdown syntax to put it in emphasis.\n\n\u003Ccode\u003E[STIX fonts](%1)\u003C/code\u003E is the Markdown syntax for links.\n\nParameters:\n* %1 - a URL the STIX fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HelpDialog.js");
diff --git a/localization/qqq/MathML.js b/localization/qqq/MathML.js
index c609f2e29..fddb42cf8 100644
--- a/localization/qqq/MathML.js
+++ b/localization/qqq/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute",BadMglyphFont:"Parameters:\n* %1 - font family",MathPlayer:"This alert is displayed when the Native MathML output Jax fails to set up MathPlayer.\n\nThe new line character is used to force new lines in the alert box.",CantCreateXMLParser:"This alert is displayed when the MathML input Jax fails to create an XML parser.\n\nThe new line character is used to force new lines in the alert box.",UnknownNodeType:"Used as error message. Parameters:\n* %1 - node type",UnexpectedTextNode:'Used as error message. Parameters:\n* %1 - text, enclosed in "\'"',ErrorParsingMathML:"This error is displayed when a MathML element fails to be parsed.\n\nIt can only be produced by old versions of Internet Explorer.",ParsingError:"This error is displayed when an XML parsing error happens.\n\nThe argument is the error returned by the XML parser.",MathMLSingleElement:"This error is displayed when a MathML input Jax contains more than one \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E root.\n\nIt can only be produced by very old browsers.",MathMLRootElement:"This error is displayed when a MathML input Jax contains a root other than \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E.\n\nParameters:\n* %1 - the root name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathML.js");
+MathJax.Localization.addTranslation("qqq","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute",BadMglyphFont:"Parameters:\n* %1 - font family",MathPlayer:"This alert is displayed when the Native MathML output Jax fails to set up MathPlayer.\n\nThe new line character is used to force new lines in the alert box.",CantCreateXMLParser:"This alert is displayed when the MathML input Jax fails to create an XML parser.\n\nThe new line character is used to force new lines in the alert box.",UnknownNodeType:"Used as error message. Parameters:\n* %1 - node type",UnexpectedTextNode:'Used as error message. Parameters:\n* %1 - text, enclosed in "\'"',ErrorParsingMathML:"This error is displayed when a MathML element fails to be parsed.\n\nIt can only be produced by old versions of Internet Explorer.",ParsingError:"This error is displayed when an XML parsing error happens.\n\nThe argument is the error returned by the XML parser.",MathMLSingleElement:"This error is displayed when a MathML input Jax contains more than one \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E root.\n\nIt can only be produced by very old browsers.",MathMLRootElement:"{{doc-important|Do not translate the \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E tag! It is a MathML tag.}}         \n\nThis error is displayed when a MathML input Jax contains a root other than \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E.\n\nParameters:\n* %1 - the root name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathML.js");
diff --git a/localization/qqq/MathMenu.js b/localization/qqq/MathMenu.js
index 815646c8a..83f74cffe 100644
--- a/localization/qqq/MathMenu.js
+++ b/localization/qqq/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label",MathMLcode:"This menu item from 'Show math as' shows the MathML code that MathJax has produced internally (sanitized, indented etc.)\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",OriginalMathML:"This menu item from 'Show math as' shows the MathML code if that was originally in the page source",TeXCommands:"This menu item from 'Show math as' shows the TeX code if that was originally in the page source",AsciiMathInput:"This menu item from 'Show math as' shows the asciimath code if that was originally in the page source",Original:"This menu item from 'Show math as' shows the code that was originally in the page source but has no registered type.\n\nThis can happen when extensions add new input formats but fail to provide an adequate format name.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",ErrorMessage:"This menu item from 'Show math as' shows the error message if MathJax fails to process the source.\n{{Identical|Error message}}",Annotation:"This menu item from 'Show math as' allows to access possible annotations attached to a MathML formula.\n{{Identical|Annotation}}",TeX:"This is a menu item from the 'Annotation Menu' to show a TeX annotation.",StarMath:"This is a menu item from the 'Annotation Menu' to show a StarMath annotation (StarOffice, OpenOffice, LibreOffice).\n\nProgramming language used in MathJax.",Maple:"This is a menu item from the 'Annotation Menu' to show a Maple annotation.",ContentMathML:"This is a menu item from the 'Annotation Menu' to show a Content MathML annotation.\n\nThe MathML specification defines two versions: 'presentation' MathML (used in MathJax) and 'content' MathML (describes the semantics of the formula).",OpenMath:"This is a menu item from the 'Annotation Menu' to show the OpenMath annotation, an XML representation similar to Content MathML.",texHints:"This menu option from 'Show math as' adds comments to the code produced by 'MathMLCode'.\n\nUsed as checkbox label in the menu.",Settings:"'Math settings' menu item.",ZoomTrigger:"This menu from 'Math Settings' determines how MathJax's zoom is triggered.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-Hover}}\n* {{msg-mathjax|Mathmenu-Click}}\n* {{msg-mathjax|Mathmenu-DoubleClick}}\n* {{msg-mathjax|Mathmenu-NoZoom}}\n* {{msg-mathjax|Mathmenu-TriggerRequires}} - label for the following checkboxes\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Hover:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when the mouse pass over a formula.",Click:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when one clicks on a formula.\n{{Identical|Click}}",DoubleClick:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when one double-clicks on a formula.",NoZoom:"This menu option from 'ZoomTrigger' indicates that the zoom is never triggered.",TriggerRequires:"This menu text from 'ZoomTrigger' describes if the ZoomTrigger requires additional keys.\n\nThe label is followed by the following menu items:\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-Mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Option:"This menu option from 'ZoomTrigger' indicates that the OPTION key is needed (Apple-style).\n{{Identical|Options}}",Alt:"This menu option from 'ZoomTrigger' indicates that the ALT key is needed (Windows-style)",Command:"This menu option from 'ZoomTrigger' indicates that the COMMAND key is needed (Apple-style)",Control:'This menu option from \'ZoomTrigger\' indicates that the CONTROL key is needed\n\n"Control key" is also known as "Ctrl key".',Shift:"This menu option from 'ZoomTrigger' indicates that the SHIFT key is needed",ZoomFactor:"Used as menu item which has the following sub menu items: 125%%, 133%%, 150%%, 175%%, 200%%, 250%%, 300%%, 400%%",Renderer:"Used as menu item which has the following sub menu items:\n* HTML-CSS\n* MathML\n* SVG",MPHandles:"Used as label in the menu.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-MenuEvents}}\n* {{msg-mathjax|Mathmenu-MouseEvents}}\n* {{msg-mathjax|Mathmenu-MenuAndMouse}}",MenuEvents:"Option to let MathPlayer handle the contextual menu selections",MouseEvents:"Option to let MathPlayer handle the mouse clicks",MenuAndMouse:"Option to let MathPlayer handle Mouse and Menu Events",FontPrefs:"This menu item from 'Math Settings' allows selection of the font to use (and is mostly for development purposes) e.g. STIX",ForHTMLCSS:"Used as label in the menu.\n\nFollowed by the following radio box label:\n* {{msg-mathjax|Mathmenu-Auto}}",Auto:"{{Identical|Automatic}}",TeXLocal:"Used as label for the radio box in the menu.",TeXWeb:"Used as label for the radio box in the menu.",TeXImage:"Used as label for the radio box in the menu.",STIXLocal:"Used as label for the radio box in the menu.",ContextMenu:"Used as menu item.\n\nFollowed by the following sub menu items:\n* MathJax - radio box label\n* {{msg-mathjax|Mathmenu-Browser}} - radio box label",Browser:"Used as menu item.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-ContextMenu}}.",Scale:"This menu item from 'Math Settings' allows users to set a scaling factor for the MathJax output (relative to the surrounding content).",Discoverable:"This menu option indicates whether the formulas should be highlighted when you pass the mouse over them.\n\nUsed as checkbox label in the menu.",Locale:"This menu item from 'Math Settings' allows to select a language. The language names are specified by the 'menuTitle' properties.\n\nThis menu item has the following sub menu items:\n* en\n* {{msg-mathjax|Mathmenu-LoadLocale}}\n{{Identical|Language}}",LoadLocale:"This allows the user to load the translation from a given URL.\n\nUsed as the menu item which has the parent menu item {{msg-mathjax|Mathmenu-Locale}}.",About:"This opens the 'About MathJax' popup.\n\nUsed as menu item.",Help:"This opens the 'MathJax Help' popup",localTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax TeX fonts.\n{{Related|Mathmenu-using}}",webTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Web versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",imagefonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Image versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",localSTIXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax STIX fonts.\n{{Related|Mathmenu-using}}",webSVGfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses SVG MathJax TeX fonts.\n{{Related|Mathmenu-using}}",genericfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local generic fonts.\n{{Related|Mathmenu-using}}",wofforotffonts:"This is from the 'About MathJax' popup. woff/otf are names of font formats",eotffonts:"This is from the 'About MathJax' popup. eot is a name of font format",svgfonts:"This is from the 'About MathJax' popup. svg is a name of font format",WebkitNativeMMLWarning:"This is the WebKit warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIENativeMMLWarning:"This is the IE warning displayed when a user changes the rendering output to native MathML via the MathJax menu and does not have MathPlayer installed.",OperaNativeMMLWarning:"This is the Opera warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",SafariNativeMMLWarning:"This is the Safari warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",FirefoxNativeMMLWarning:"This is the Firefox warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIESVGWarning:"This is the IE warning displayed when a user changes the rendering output to SVG via the MathJax menu and uses an versions of IE.",SwitchAnyway:"This is appended at the end of switch warnings.\n\nUsed for JavaScript \u003Ccode\u003Econfirm()\u003C/code\u003E.",LoadURL:"This is the prompt message for the 'LoadLocale' menu entry",BadURL:"This is the alert message when a bad URL is specified for 'LoadLocale'.",BadData:"This is the alert message when the translation data specified 'LoadLocale' fails to be loaded. The argument is the URL specified.",ScaleMath:"This is the prompt message for the 'Scale all math' menu entry.\n\nUsed for JavaScript \u003Ccode\u003Eprompt()\u003C/code\u003E.",NonZeroScale:"This is the alert message when the scale specified to 'ScaleMath' is zero",PercentScale:"This is the alert message when the scale specified to 'ScaleMath' is not a percentage",IE8warning:"This this the confirm message displayed for when the user chooses to let MathPlayer control the contextual menu (IE8)",IE9warning:"This this the alert message displayed for when the user chooses to let MathPlayer control the contextual menu (IE9)",NoOriginalForm:"This is the alert box displayed when there are missing source formats for 'Show math as'",Close:"Closing button in the 'Show math as' window.\n{{Identical|Close}}",EqSource:"This is the title of the 'Show math as' button.\n\nUsed in the \u003Ccode\u003E\u003Cnowiki\u003E\u003Ctitle\u003E\u003C/nowiki\u003E\u003C/code\u003E tag of the new window."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathMenu.js");
+MathJax.Localization.addTranslation("qqq","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label",MathMLcode:"This menu item from 'Show math as' shows the MathML code that MathJax has produced internally (sanitized, indented etc.)\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",OriginalMathML:"This menu item from 'Show math as' shows the MathML code as if that was originally in the page source",TeXCommands:"This menu item from 'Show math as' shows the TeX code if that was originally in the page source",AsciiMathInput:"This menu item from 'Show math as' shows the asciimath code if that was originally in the page source",Original:"This menu item from 'Show math as' shows the code that was originally in the page source but has no registered type.\n\nThis can happen when extensions add new input formats but fail to provide an adequate format name.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",ErrorMessage:"This menu item from 'Show math as' shows the error message if MathJax fails to process the source.\n{{Identical|Error message}}",Annotation:"This menu item from 'Show math as' allows to access possible annotations attached to a MathML formula.\n{{Identical|Annotation}}",TeX:"This is a menu item from the 'Annotation Menu' to show a TeX annotation.",StarMath:"This is a menu item from the 'Annotation Menu' to show a StarMath annotation (StarOffice, OpenOffice, LibreOffice).\n\nProgramming language used in MathJax.",Maple:"This is a menu item from the 'Annotation Menu' to show a Maple annotation.",ContentMathML:"This is a menu item from the 'Annotation Menu' to show a Content MathML annotation.\n\nThe MathML specification defines two versions: 'presentation' MathML (used in MathJax) and 'content' MathML (describes the semantics of the formula).",OpenMath:"This is a menu item from the 'Annotation Menu' to show the OpenMath annotation, an XML representation similar to Content MathML.",texHints:"This menu option from 'Show math as' adds comments to the code produced by 'MathMLCode'.\n\nUsed as checkbox label in the menu.",Settings:"'Math settings' menu item.",ZoomTrigger:"This menu from 'Math Settings' determines how MathJax's zoom is triggered.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-Hover}}\n* {{msg-mathjax|Mathmenu-Click}}\n* {{msg-mathjax|Mathmenu-DoubleClick}}\n* {{msg-mathjax|Mathmenu-NoZoom}}\n* {{msg-mathjax|Mathmenu-TriggerRequires}} - label for the following checkboxes\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Hover:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when the mouse pass over a formula.",Click:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when one clicks on a formula.\n{{Identical|Click}}",DoubleClick:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when one double-clicks on a formula.",NoZoom:"This menu option from 'ZoomTrigger' indicates that the zoom is never triggered.",TriggerRequires:"This menu text from {{msg-mathjax|Mathmenu-ZoomTrigger}} describes if the ZoomTrigger requires additional keys.\n\nThe label is followed by the following menu items:\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-Mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Option:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the OPTION key is needed (Apple-style).\n{{Identical|Options}}",Alt:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the ALT key is needed (Windows-style)",Command:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the COMMAND key is needed (Apple-style).\n{{Identical|Command}}",Control:'This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the CONTROL key is needed\n\n"Control key" is also known as "Ctrl key".',Shift:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the SHIFT key is needed",ZoomFactor:"Used as menu item which has the following sub menu items: 125%%, 133%%, 150%%, 175%%, 200%%, 250%%, 300%%, 400%%",Renderer:"Used as menu item which has the following sub menu items:\n* HTML-CSS\n* MathML\n* SVG",MPHandles:"Used as label in the menu.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-MenuEvents}}\n* {{msg-mathjax|Mathmenu-MouseEvents}}\n* {{msg-mathjax|Mathmenu-MenuAndMouse}}",MenuEvents:"Option to let MathPlayer handle the contextual menu selections",MouseEvents:"Option to let MathPlayer handle the mouse clicks",MenuAndMouse:"Option to let MathPlayer handle Mouse and Menu Events",FontPrefs:"This menu item from 'Math Settings' allows selection of the font to use (and is mostly for development purposes) e.g. STIX",ForHTMLCSS:"Used as label in the menu.\n\nFollowed by the following radio box label:\n* {{msg-mathjax|Mathmenu-Auto}}",Auto:"{{Identical|Automatic}}",TeXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXWeb:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXImage:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXWeb:"{{Related|Mathmenu-fonts}}",AsanaMathWeb:"{{Related|Mathmenu-fonts}}",GyrePagellaWeb:"{{Related|Mathmenu-fonts}}",GyreTermesWeb:"{{Related|Mathmenu-fonts}}",LatinModernWeb:"{{Related|Mathmenu-fonts}}",NeoEulerWeb:"{{Related|Mathmenu-fonts}}",ContextMenu:"Used as menu item.\n\nFollowed by the following sub menu items:\n* MathJax - radio box label\n* {{msg-mathjax|Mathmenu-Browser}} - radio box label",Browser:"Used as menu item.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-ContextMenu}}.",Scale:"This menu item from 'Math Settings' allows users to set a scaling factor for the MathJax output (relative to the surrounding content).",Discoverable:"This menu option indicates whether the formulas should be highlighted when you pass the mouse over them.\n\nUsed as checkbox label in the menu.",Locale:"This menu item from 'Math Settings' allows to select a language. The language names are specified by the 'menuTitle' properties.\n\nThis menu item has the following sub menu items:\n* en\n* {{msg-mathjax|Mathmenu-LoadLocale}}\n{{Identical|Language}}",LoadLocale:"This allows the user to load the translation from a given URL.\n\nUsed as the menu item which has the parent menu item {{msg-mathjax|Mathmenu-Locale}}.",About:"This opens the 'About MathJax' popup.\n\nUsed as menu item.",Help:"This opens the 'MathJax Help' popup",localTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax TeX fonts.\n{{Related|Mathmenu-using}}",webTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Web versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",imagefonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Image versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",localSTIXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax STIX fonts.\n{{Related|Mathmenu-using}}",webSVGfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses SVG MathJax TeX fonts.\n{{Related|Mathmenu-using}}",genericfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local generic fonts.\n{{Related|Mathmenu-using}}",wofforotffonts:"This is from the 'About MathJax' popup. woff/otf are names of font formats",eotffonts:"This is from the 'About MathJax' popup. eot is a name of font format",svgfonts:"This is from the 'About MathJax' popup. svg is a name of font format",WebkitNativeMMLWarning:"This is the WebKit warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIENativeMMLWarning:"This is the IE warning displayed when a user changes the rendering output to native MathML via the MathJax menu and does not have MathPlayer installed.",OperaNativeMMLWarning:"This is the Opera warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",SafariNativeMMLWarning:"This is the Safari warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",FirefoxNativeMMLWarning:"This is the Firefox warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIESVGWarning:"This is the IE warning displayed when a user changes the rendering output to SVG via the MathJax menu and uses an versions of IE.",LoadURL:"This is the prompt message for the 'LoadLocale' menu entry",BadURL:"This is the alert message when a bad URL is specified for 'LoadLocale'.",BadData:"This is the alert message when the translation data specified 'LoadLocale' fails to be loaded. The argument is the URL specified.",SwitchAnyway:"This is appended at the end of switch warnings.\n\nUsed for JavaScript \u003Ccode\u003Econfirm()\u003C/code\u003E.",ScaleMath:"This is the prompt message for the 'Scale all math' menu entry.\n\nUsed for JavaScript \u003Ccode\u003Eprompt()\u003C/code\u003E.",NonZeroScale:"This is the alert message when the scale specified to 'ScaleMath' is zero",PercentScale:"This is the alert message when the scale specified to 'ScaleMath' is not a percentage",IE8warning:"This this the confirm message displayed for when the user chooses to let MathPlayer control the contextual menu (IE8)",IE9warning:"This this the alert message displayed for when the user chooses to let MathPlayer control the contextual menu (IE9)",NoOriginalForm:"This is the alert box displayed when there are missing source formats for {{Msg-mathjax|Mathmenu-Show}}; see also {{Msg-mathjax|Mathmenu-Original}}.",Close:"Closing button in the 'Show math as' window.\n{{Identical|Close}}",EqSource:"This is the title of the 'Show math as' button.\n\nUsed in the \u003Ccode\u003E\u003Cnowiki\u003E\u003Ctitle\u003E\u003C/nowiki\u003E\u003C/code\u003E tag of the new window."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathMenu.js");
diff --git a/localization/qqq/TeX.js b/localization/qqq/TeX.js
index 6018a4915..f5cb825a6 100644
--- a/localization/qqq/TeX.js
+++ b/localization/qqq/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}",ExtraCloseMissingOpen:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( } \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraOpenMissingClose}}",MissingLeftExtraRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\right) \\)\u003C/code\u003E",MissingScript:"This appears in TeX expressions when a superscript or subscript is missing e.g. \u003Ccode\u003Ea^2\u003C/code\u003E or \u003Ccode\u003Ea_2\u003C/code\u003E.",ExtraLeftMissingRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\left( \\)\u003C/code\u003E",Misplaced:"This appears in TeX expressions when an item is misplaced e.g. \u003Ccode\u003E\\( \u0026 \\)\u003C/code\u003E since the ampersand is supposed to be used in tabular expressions.\n\nParameters:\n* %1 - the misplaced item",MissingOpenForSub:"This appears in TeX expressions when a subscript is missing an open brace e.g. \u003Ccode\u003E\\( x__ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSup}}",MissingOpenForSup:"This appears in TeX expressions when a superscript is missing an open brace e.g. \u003Ccode\u003E\\( x^^ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSub}}",AmbiguousUseOf:"This appears in TeX expressions when a command is used in an ambiguous way e.g. \u003Ccode\u003E\\( x \\over y \\over z \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the TeX command",EnvBadEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\begin\u003C/code\u003E and \u003Ccode\u003E\\end\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when environment names do not match e.g. \u003Ccode\u003E\\( \\begin{aligned} \\end{eqarray} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name used for \u003Ccode\u003E\\begin\u003C/code\u003E\n* %2 - the environment name used for \u003Ccode\u003E\\end\u003C/code\u003E",EnvMissingEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\end\u003C/code\u003E, it is a TeX command.}}\nThis appears in TeX expressions when an environment is not closed e.g. \u003Ccode\u003E\\( \\begin{aligned} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003Ealigned\u003C/code\u003E",MissingBoxFor:"This appears in TeX expressions when a command is missing a TeX box e.g. \u003Ccode\u003E\\( \\raise 1pt \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name",MissingCloseBrace:"This appears in TeX expressions when a close brace is missing e.g. \u003Ccode\u003E\\( \\array{ \\)\u003C/code\u003E",UndefinedControlSequence:"This appears in TeX expressions when an undefined control sequence is used. Parameters:\n* %1 - the name of the TeX command",DoubleExponent:"This appears in TeX expressions when an ambiguous double exponent is used e.g. \u003Ccode\u003Ex^3^2\u003C/code\u003E should be \u003Ccode\u003Ex^{3^2}\u003C/code\u003E or \u003Ccode\u003E{x^3}^2\u003C/code\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleSubscripts}}",DoubleSubscripts:"This appears in TeX expressions when an ambiguous double subscripts is used e.g. \u003Ccode\u003Ex_3_2\u003C/code\u003E should be \u003Ccode\u003Ex_{3_2}\u003C/code\u003E or \u003Ccode\u003E{x_3}_2\u003Ccode\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleExponent}}",DoubleExponentPrime:"This appears in TeX expressions when an ambiguous double exponent is caused by a prime e.g. \u003Ccode\u003Ex^a'\u003C/code\u003E should be \u003Ccode\u003E{x^a}'\u003C/code\u003E or \u003Ccode\u003Ex^{a'}\u003C/code\u003E",CantUseHash1:"This appears in TeX expressions when the macro parameter character '#' is used in math mode e.g. \u003Ccode\u003E\\( # \\)\u003C/code\u003E",MisplacedMiddle:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when the \u003Ccode\u003Emiddle\u003C/code\u003E command is used outside \u003Ccode\u003E\\left ... \\right\u003C/code\u003E e.g. \u003Ccode\u003E\\( \\middle| \\)\u003C/code\u003E",MisplacedLimits:"This appears in TeX expressions when the \u003Ccode\u003Elimits\u003C/code\u003E command is not used on an operator e.g. \u003Ccode\u003E\\( \\limits \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\limits\u003C/code\u003E",MisplacedMoveRoot:"This appears in TeX expressions when a move root command is used outside a root e.g. \u003Ccode\u003E\\( \\uproot \\)\u003C/code\u003E.\n\nParameters:\n* %1 - either \u003Ccode\u003E\\uproot\u003C/code\u003E or \u003Ccode\u003E\\leftroot\u003C/code\u003E",MultipleCommand:"This happens when a command or token can only be present once, e.g. \u003Ccode\u003E\\tag{}\u003C/code\u003E. Parameters:\n* %1 - the name of the duplicated command",IntegerArg:"This happens when an unexpected non-integer argument is passed to a command e.g. \u003Ccode\u003E\\uproot\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the command",NotMathMLToken:"MathJax has a non-standard \u003Ccode\u003E\\mmlToken\u003C/code\u003E command to insert MathML token elements.\n\nThis error happens when the tag name is unknown e.g. \u003Ccode\u003E\\mmlToken{INVALID}{x}\u003C/code\u003E",InvalidMathMLAttr:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the parameter is not a valid attribute e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[_INVALID_]{x} \\)\u003C/code\u003E where underscores are forbidden.",UnknownAttrForElement:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the attribute is invalid for the given element e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[INVALIDATTR=\u003Cnowiki\u003E''\u003C/nowiki\u003E]{x} \\)\u003C/code\u003E\n\nParameters:\n* %1 - attribute\n* %2 - ...",MaxMacroSub1:"MathJax limits the number of macro substitutions to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newcommand{\\a}{\\a} \\a\u003C/code\u003E",MaxMacroSub2:"MathJax limits the number of nested environments to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newenvironment{a}{\\begin{a}}{\\end{a}} \\begin{a}\\end{a}\u003C/code\u003E",MissingArgFor:"This happens when an argument is missing e.g. \u003Ccode\u003E\\frac{a}\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\frac\u003C/code\u003E",ExtraAlignTab:"{{doc-important|Do not translate \u003Ccode\u003E\\cases\u003C/code\u003E; it is a TeX command.}}\nThis happens when \u003Ccode\u003E\\cases\u003C/code\u003E has two many columns e.g. \u003Ccode\u003E\\cases{a \u0026 b \u0026 c}\u003C/code\u003E",BracketMustBeDimension:"This happens when a bracket argument of an item is not a dimension e.g. \u003Ccode\u003E\\begin{array} x \\\\[INVALID] y \\end{array}\u003C/code\u003E.\n\nParameters:\n* %1 - e.g. \u003Ccode\u003E\\\u003C/code\u003E",InvalidEnv:"This happens with invalid environment name e.g. \u003Ccode\u003E\\begin{_INVALID_} \\end{_INVALID_}\u003C/code\u003E where underscores are forbidden.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003E_INVALID_\u003C/code\u003E",UnknownEnv:"This happens when an unknown environment is used e.g. \u003Ccode\u003E\\begin{UNKNOWN} \\end{UNKNOWN}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003EUNKNOWN\u003C/code\u003E",ExtraCloseLooking:"This happens in some situations when an extra close brace while looking for another character, for example \u003Ccode\u003E\\( \\sqrt[}]x \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the character searched e.g. \u003Ccode\u003E]\u003C/code\u003E",MissingCloseBracket:"This error happens when a closing '\u003Ccode\u003E]\u003C/code\u003E' is missing e.g. \u003Ccode\u003E\\( \\sqrt[ \\)\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\sqrt\u003C/code\u003E",MissingOrUnrecognizedDelim:"This error happens when a delimiter is missing or unrecognized in a TeX expression e.g. \u003Ccode\u003E\\( \\left \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\left\u003C/code\u003E",MissingDimOrUnits:"This error happens with some TeX commands that are expecting a unit e.g. \u003Ccode\u003E\\above\u003C/code\u003E. Parameters:\n* %1 - the command name",TokenNotFoundForCommand:"This happens while processing a TeX command that is expected to contain a token e.g. \u003Ccode\u003E\\( \\root{x} \\)\u003C/code\u003E where '\u003Ccode\u003E\\of\u003C/code\u003E' should be used.\n\nParameters:\n* %1 - the token not found e.g. \u003Ccode\u003E\\of\u003C/code\u003E\n* %2 - the command being processed e.g. \u003Ccode\u003E\\root\u003C/code\u003E",MathNotTerminated:"This happens when a math is not terminated in a text box e.g. \u003Ccode\u003E\\( \\text{$x} \\)\u003C/code\u003E where the closing dollar is missing.",IllegalMacroParam:"This error happens when an invalid macro parameter reference is used e.g. \u003Ccode\u003E\\( \\def\\mymacro#1{#2} \\mymacro{x} \\)\u003C/code\u003E where '#2' is invalid since \u003Ccode\u003E\\mymacro\u003C/code\u003E has only one parameter.",MaxBufferSize:"The buffer size refers to the memory used by the TeX input processor.\n\nThis error may happen with recursive calls e.g. \u003Ccode\u003E\\( \\newcommand{\\a}{\\a\\a} \\a \\)\u003C/code\u003E.\n\nNote that the number of a's is exponential with respect to the number of recursive calls.\n\nHence 'MaxBufferSize' is likely to happen before 'MaxMacroSub1'",CommandNotAllowedInEnv:"This appears when the \u003Ccode\u003E\\tag\u003C/code\u003E command is used inside an environment that does not allow labelling e.g. \u003Ccode\u003E\\begin{split} x \\tag{x} \\end{split}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\tag\u003C/code\u003E\n* %2 - the name of the environment",MultipleLabel:"This happens when TeX labels are duplicated e.g. \u003Ccode\u003E\\( \\label{x} \\) \\( \\label{x} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - TeX label name",CommandAtTheBeginingOfLine:"This happens when showleft/showright are misplaced. Parameters:\n* %1 - the macro name",IllegalAlign:"This happens when an invalid alignment is specified in \u003Ccode\u003E\\cfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\cfrac[INVALID]{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\cfrac\u003C/code\u003E",BadMathStyleFor:"This happens when an invalid style is specified in \u003Ccode\u003E\\genfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\genfrac{\\{}{\\}}{0pt}{INVALID}{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\genfrac\u003C/code\u003E",PositiveIntegerArg:"This happens when an invalid alignment is specified in the \u003Ccode\u003Ealignedat\u003C/code\u003E environment e.g. \u003Ccode\u003E\\begin{alignedat}{INVALID}\\end{alignedat}\u003C/code\u003E.",ErroneousNestingEq:"This happens when some equation structures are nested in a way forbidden by LaTeX e.g. two nested \u003Ccode\u003Emultline\u003C/code\u003E environment.",MultlineRowsOneCol:"This happens when a row of the \u003Ccode\u003Emultline\u003C/code\u003E environment has more than one column e.g. \u003Ccode\u003E\\begin{multline} x \u0026 y \\end{multline}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name \u003Ccode\u003Emultline\u003C/code\u003E",MultipleBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property e.g. the background color is specified twice.\n\nParameters:\n* %1 - the name of the duplicate property\n* %2 - the command name \u003Ccode\u003E\\bbox\u003C/code\u003E",InvalidBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property is not a color, a padding dimension, or a style.\n\n'padding' is a CSS property name for the 'inner margin' of a box. You may verify on MDN how it is translated in your language.\n\nParameters:\n* %1 - the name of the invalid property specified",ExtraEndMissingBegin:"{{doc-important|Do not translate \u003Ccode\u003E\\begingroup\u003C/code\u003E.}}\nThis appears in TeX expressions when begingroup/endgroup do not match. Parameters:\n* %1 - the command name \u003Ccode\u003E\\endgroup\u003C/code\u003E",GlobalNotFollowedBy:"{{doc-important|Do not translate \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E; they are TeX expressions.}}\nThis appears in TeX expressions when \u003Ccode\u003E\\global\u003C/code\u003E is not followed by \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E",UndefinedColorModel:"An invalid color model is used for the \u003Ccode\u003E\\color\u003C/code\u003E command. Parameters:\n* %1 - the color model specified",ModelArg1:"An invalid color value is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{}{} \\)\u003C/code\u003E\n\nParameters:\n* %1 - color model name",InvalidDecimalNumber:"An invalid decimal number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[rgb]{,,}{} \\)\u003C/code\u003E.\n\nA valid decimal number is such as: 12, 12., 12.34, .34",ModelArg2:"An out-of-range number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{256,,}{} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the color model e.g. \u003Ccode\u003ERGB\u003C/code\u003E\n* %2 - the lower bound of the valid interval e.g. 0 for the RGB color model\n* %3 - the upper bound of the valid interval e.g. 255 for the RGB color model",InvalidNumber:"An invalid number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{,,}{} \\)\u003C/code\u003E.\n\nA valid number is such as: 123",NewextarrowArg1:"Used when the first argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg2:"Used when the second argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg3:"Used when the third argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NoClosingChar:"This is used in TeX mhchem expressions when a closing delimiters is missing e.g. \u003Ccode\u003E\\( \\ce{ -\u003E[ } \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E)\u003C/code\u003E, \u003Ccode\u003E}\u003C/code\u003E, or \u003Ccode\u003E]\u003C/code\u003E",IllegalControlSequenceName:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal control sequence name.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",IllegalParamNumber:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal number of parameters.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",MissingCS:"This appears when a TeX definitions is not followed by a control sequence e.g. \u003Ccode\u003E\\let INVALID\u003C/code\u003E.\n\nParameters:\n* %1 - may be commands like  \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, \u003Ccode\u003E\\newcommand\u003C/code\u003E, \u003Ccode\u003E\\global\u003C/code\u003E, etc.",CantUseHash2:"This appears in TeX definitions when the character '#' is used in incorrectly used e.g. \u003Ccode\u003E\\def\\mycommand#A\u003C/code\u003E.\n\nParameters:\n* %1 - the command used e.g. \u003Ccode\u003Emycommand\u003C/code\u003E",SequentialParam:"This appears in TeX definitions when parameters are not numbered sequentially e.g. \u003Ccode\u003E\\def\\mycommand#2#1\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MissingReplacementString:"This appears in TeX definitions when you don't specify a replacement string e.g. \u003Ccode\u003E\\def\\mycommand\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MismatchUseDef:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1]#2[#3]{#1+#2+#3} \\mycommand{a}{b}[c] \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",RunawayArgument:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1][#2]#3{#1+#2+#3} \\mycommand[a]{b} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",NoClosingDelim:"This appears in TeX expressions when a \u003Ccode\u003E\\verb\u003C/code\u003E command is not closed e.g. \u003Ccode\u003E\\( \\verb?... \\)\u003C/code\u003E is missing a closing question mark.\n\nParameters:\n* %1 - the command name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/TeX.js");
+MathJax.Localization.addTranslation("qqq","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}",ExtraCloseMissingOpen:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( } \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraOpenMissingClose}}",MissingLeftExtraRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\right) \\)\u003C/code\u003E",MissingScript:"This appears in TeX expressions when a superscript or subscript is missing e.g. \u003Ccode\u003Ea^2\u003C/code\u003E or \u003Ccode\u003Ea_2\u003C/code\u003E.",ExtraLeftMissingRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\left( \\)\u003C/code\u003E",Misplaced:"This appears in TeX expressions when an item is misplaced e.g. \u003Ccode\u003E\\( \u0026 \\)\u003C/code\u003E since the ampersand is supposed to be used in tabular expressions.\n\nParameters:\n* %1 - the misplaced item",MissingOpenForSub:"This appears in TeX expressions when a subscript is missing an open brace e.g. \u003Ccode\u003E\\( x__ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSup}}",MissingOpenForSup:"This appears in TeX expressions when a superscript is missing an open brace e.g. \u003Ccode\u003E\\( x^^ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSub}}",AmbiguousUseOf:"This appears in TeX expressions when a command is used in an ambiguous way e.g. \u003Ccode\u003E\\( x \\over y \\over z \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the TeX command",EnvBadEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\begin\u003C/code\u003E and \u003Ccode\u003E\\end\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when environment names do not match e.g. \u003Ccode\u003E\\( \\begin{aligned} \\end{eqarray} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name used for \u003Ccode\u003E\\begin\u003C/code\u003E\n* %2 - the environment name used for \u003Ccode\u003E\\end\u003C/code\u003E",EnvMissingEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\end\u003C/code\u003E, it is a TeX command.}}\nThis appears in TeX expressions when an environment is not closed e.g. \u003Ccode\u003E\\( \\begin{aligned} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003Ealigned\u003C/code\u003E",MissingBoxFor:"This appears in TeX expressions when a command is missing a TeX box e.g. \u003Ccode\u003E\\( \\raise 1pt \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name",MissingCloseBrace:"This appears in TeX expressions when a close brace is missing e.g. \u003Ccode\u003E\\( \\array{ \\)\u003C/code\u003E",UndefinedControlSequence:"This appears in TeX expressions when an undefined control sequence is used. Parameters:\n* %1 - the name of the TeX command",DoubleExponent:"This appears in TeX expressions when an ambiguous double exponent is used e.g. \u003Ccode\u003Ex^3^2\u003C/code\u003E should be \u003Ccode\u003Ex^{3^2}\u003C/code\u003E or \u003Ccode\u003E{x^3}^2\u003C/code\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleSubscripts}}",DoubleSubscripts:"This appears in TeX expressions when an ambiguous double subscripts is used e.g. \u003Ccode\u003Ex_3_2\u003C/code\u003E should be \u003Ccode\u003Ex_{3_2}\u003C/code\u003E or \u003Ccode\u003E{x_3}_2\u003Ccode\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleExponent}}",DoubleExponentPrime:"This appears in TeX expressions when an ambiguous double exponent is caused by a prime e.g. \u003Ccode\u003Ex^a'\u003C/code\u003E should be \u003Ccode\u003E{x^a}'\u003C/code\u003E or \u003Ccode\u003Ex^{a'}\u003C/code\u003E",CantUseHash1:"This appears in TeX expressions when the macro parameter character '#' is used in math mode e.g. \u003Ccode\u003E\\( # \\)\u003C/code\u003E",MisplacedMiddle:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when the \u003Ccode\u003Emiddle\u003C/code\u003E command is used outside \u003Ccode\u003E\\left ... \\right\u003C/code\u003E e.g. \u003Ccode\u003E\\( \\middle| \\)\u003C/code\u003E",MisplacedLimits:"This appears in TeX expressions when the \u003Ccode\u003Elimits\u003C/code\u003E command is not used on an operator e.g. \u003Ccode\u003E\\( \\limits \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\limits\u003C/code\u003E",MisplacedMoveRoot:"This appears in TeX expressions when a move root command is used outside a root e.g. \u003Ccode\u003E\\( \\uproot \\)\u003C/code\u003E.\n\nParameters:\n* %1 - either \u003Ccode\u003E\\uproot\u003C/code\u003E or \u003Ccode\u003E\\leftroot\u003C/code\u003E",MultipleCommand:"This happens when a command or token can only be present once, e.g. \u003Ccode\u003E\\tag{}\u003C/code\u003E. Parameters:\n* %1 - the name of the duplicated command",IntegerArg:"This happens when an unexpected non-integer argument is passed to a command e.g. \u003Ccode\u003E\\uproot\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the command",NotMathMLToken:"MathJax has a non-standard \u003Ccode\u003E\\mmlToken\u003C/code\u003E command to insert MathML token elements.\n\nThis error happens when the tag name is unknown e.g. \u003Ccode\u003E\\mmlToken{INVALID}{x}\u003C/code\u003E",InvalidMathMLAttr:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the parameter is not a valid attribute e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[_INVALID_]{x} \\)\u003C/code\u003E where underscores are forbidden.",UnknownAttrForElement:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the attribute is invalid for the given element e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[INVALIDATTR=\u003Cnowiki\u003E''\u003C/nowiki\u003E]{x} \\)\u003C/code\u003E\n\nParameters:\n* %1 - attribute\n* %2 - ...",MaxMacroSub1:"MathJax limits the number of macro substitutions to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newcommand{\\a}{\\a} \\a\u003C/code\u003E",MaxMacroSub2:"MathJax limits the number of nested environments to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newenvironment{a}{\\begin{a}}{\\end{a}} \\begin{a}\\end{a}\u003C/code\u003E",MissingArgFor:"This happens when an argument is missing e.g. \u003Ccode\u003E\\frac{a}\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\frac\u003C/code\u003E",ExtraAlignTab:"{{doc-important|Do not translate \u003Ccode\u003E\\cases\u003C/code\u003E; it is a TeX command.}}\nThis happens when \u003Ccode\u003E\\cases\u003C/code\u003E has two many columns e.g. \u003Ccode\u003E\\cases{a \u0026 b \u0026 c}\u003C/code\u003E",BracketMustBeDimension:"This happens when a bracket argument of an item is not a dimension e.g. \u003Ccode\u003E\\begin{array} x \\\\[INVALID] y \\end{array}\u003C/code\u003E.\n\nParameters:\n* %1 - e.g. \u003Ccode\u003E\\\u003C/code\u003E",InvalidEnv:"This happens with invalid environment name e.g. \u003Ccode\u003E\\begin{_INVALID_} \\end{_INVALID_}\u003C/code\u003E where underscores are forbidden.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003E_INVALID_\u003C/code\u003E",UnknownEnv:"This happens when an unknown environment is used e.g. \u003Ccode\u003E\\begin{UNKNOWN} \\end{UNKNOWN}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003EUNKNOWN\u003C/code\u003E",ExtraCloseLooking:"This happens in some situations when an extra close brace is found while looking for another character, for example \u003Ccode\u003E\\( \\sqrt['''{{red|\u003Cnowiki\u003E}\u003C/nowiki\u003E}}''']x \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the character searched e.g. \u003Ccode\u003E]\u003C/code\u003E",MissingCloseBracket:"This error happens when a closing '\u003Ccode\u003E]\u003C/code\u003E' is missing e.g. \u003Ccode\u003E\\( \\sqrt[ \\)\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\sqrt\u003C/code\u003E",MissingOrUnrecognizedDelim:"This error happens when a delimiter is missing or unrecognized in a TeX expression e.g. \u003Ccode\u003E\\( \\left \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\left\u003C/code\u003E",MissingDimOrUnits:"This error happens with some TeX commands that are expecting a unit e.g. \u003Ccode\u003E\\above\u003C/code\u003E. Parameters:\n* %1 - the command name",TokenNotFoundForCommand:"This happens while processing a TeX command that is expected to contain a token e.g. \u003Ccode\u003E\\( \\root{x} \\)\u003C/code\u003E where '\u003Ccode\u003E\\of\u003C/code\u003E' should be used.\n\nParameters:\n* %1 - the token not found e.g. \u003Ccode\u003E\\of\u003C/code\u003E\n* %2 - the command being processed e.g. \u003Ccode\u003E\\root\u003C/code\u003E",MathNotTerminated:"This happens when a math is not terminated in a text box e.g. \u003Ccode\u003E\\( \\text{$x} \\)\u003C/code\u003E where the closing dollar is missing.",IllegalMacroParam:"This error happens when an invalid macro parameter reference is used e.g. \u003Ccode\u003E\\( \\def\\mymacro#1{#2} \\mymacro{x} \\)\u003C/code\u003E where '#2' is invalid since \u003Ccode\u003E\\mymacro\u003C/code\u003E has only one parameter.",MaxBufferSize:"The buffer size refers to the memory used by the TeX input processor.\n\nThis error may happen with recursive calls e.g. \u003Ccode\u003E\\( \\newcommand{\\a}{\\a\\a} \\a \\)\u003C/code\u003E.\n\nNote that the number of a's is exponential with respect to the number of recursive calls.\n\nHence 'MaxBufferSize' is likely to happen before 'MaxMacroSub1'",CommandNotAllowedInEnv:"This appears when the \u003Ccode\u003E\\tag\u003C/code\u003E command is used inside an environment that does not allow labelling e.g. \u003Ccode\u003E\\begin{split} x \\tag{x} \\end{split}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\tag\u003C/code\u003E\n* %2 - the name of the environment",MultipleLabel:"This happens when TeX labels are duplicated e.g. \u003Ccode\u003E\\( \\label{x} \\) \\( \\label{x} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - TeX label name",CommandAtTheBeginingOfLine:"This happens when showleft/showright are misplaced. Parameters:\n* %1 - the macro name",IllegalAlign:"This happens when an invalid alignment is specified in \u003Ccode\u003E\\cfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\cfrac[INVALID]{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\cfrac\u003C/code\u003E",BadMathStyleFor:"This happens when an invalid style is specified in \u003Ccode\u003E\\genfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\genfrac{\\{}{\\}}{0pt}{INVALID}{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\genfrac\u003C/code\u003E",PositiveIntegerArg:"This happens when an invalid alignment is specified in the \u003Ccode\u003Ealignedat\u003C/code\u003E environment e.g. \u003Ccode\u003E\\begin{alignedat}{INVALID}\\end{alignedat}\u003C/code\u003E.",ErroneousNestingEq:"This happens when some equation structures are nested in a way forbidden by LaTeX e.g. two nested \u003Ccode\u003Emultline\u003C/code\u003E environment.",MultlineRowsOneCol:"This happens when a row of the \u003Ccode\u003Emultline\u003C/code\u003E environment has more than one column e.g. \u003Ccode\u003E\\begin{multline} x \u0026 y \\end{multline}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name \u003Ccode\u003Emultline\u003C/code\u003E",MultipleBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property e.g. the background color is specified twice.\n\nParameters:\n* %1 - the name of the duplicate property\n* %2 - the command name \u003Ccode\u003E\\bbox\u003C/code\u003E",InvalidBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property is not a color, a padding dimension, or a style.\n\n'padding' is a CSS property name for the 'inner margin' of a box. You may verify on MDN how it is translated in your language.\n\nParameters:\n* %1 - the name of the invalid property specified",ExtraEndMissingBegin:"{{doc-important|Do not translate \u003Ccode\u003E\\begingroup\u003C/code\u003E.}}\nThis appears in TeX expressions when begingroup/endgroup do not match. Parameters:\n* %1 - the command name \u003Ccode\u003E\\endgroup\u003C/code\u003E",GlobalNotFollowedBy:"{{doc-important|Do not translate \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E; they are TeX expressions.}}\nThis appears in TeX expressions when \u003Ccode\u003E\\global\u003C/code\u003E is not followed by \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E",UndefinedColorModel:"An invalid color model is used for the \u003Ccode\u003E\\color\u003C/code\u003E command. Parameters:\n* %1 - the color model specified",ModelArg1:"An invalid color value is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{}{} \\)\u003C/code\u003E\n\nParameters:\n* %1 - color model name",InvalidDecimalNumber:"An invalid decimal number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[rgb]{,,}{} \\)\u003C/code\u003E.\n\nA valid decimal number is such as: 12, 12., 12.34, .34",ModelArg2:"An out-of-range number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{256,,}{} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the color model e.g. \u003Ccode\u003ERGB\u003C/code\u003E\n* %2 - the lower bound of the valid interval e.g. 0 for the RGB color model\n* %3 - the upper bound of the valid interval e.g. 255 for the RGB color model",InvalidNumber:"An invalid number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{,,}{} \\)\u003C/code\u003E.\n\nA valid number is such as: 123",NewextarrowArg1:"Used when the first argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg2:"Used when the second argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg3:"Used when the third argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NoClosingChar:"This is used in TeX mhchem expressions when a closing delimiters is missing e.g. \u003Ccode\u003E\\( \\ce{ -\u003E[ } \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E)\u003C/code\u003E, \u003Ccode\u003E}\u003C/code\u003E, or \u003Ccode\u003E]\u003C/code\u003E",IllegalControlSequenceName:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal control sequence name.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",IllegalParamNumber:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal number of parameters.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",MissingCS:"This appears when a TeX definitions is not followed by a control sequence e.g. \u003Ccode\u003E\\let INVALID\u003C/code\u003E.\n\nParameters:\n* %1 - may be commands like  \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, \u003Ccode\u003E\\newcommand\u003C/code\u003E, \u003Ccode\u003E\\global\u003C/code\u003E, etc.",CantUseHash2:"This appears when the character '#' is incorrectly used in TeX definitions, e.g. \u003Ccode\u003E\\def\\mycommand{{red|#}}A\u003C/code\u003E.\n\nParameters:\n* %1 - the command used e.g. \u003Ccode\u003Emycommand\u003C/code\u003E",SequentialParam:"This appears in TeX definitions when parameters are not numbered sequentially e.g. \u003Ccode\u003E\\def\\mycommand#2#1\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MissingReplacementString:"This appears in TeX definitions when you don't specify a replacement string e.g. \u003Ccode\u003E\\def\\mycommand\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MismatchUseDef:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1]#2[#3]{#1+#2+#3} \\mycommand{a}{b}[c] \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",RunawayArgument:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1][#2]#3{#1+#2+#3} \\mycommand[a]{b} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",NoClosingDelim:"This appears in TeX expressions when a \u003Ccode\u003E\\verb\u003C/code\u003E command is not closed e.g. \u003Ccode\u003E\\( \\verb?... \\)\u003C/code\u003E is missing a closing question mark.\n\nParameters:\n* %1 - the command name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/TeX.js");
diff --git a/localization/qqq/qqq.js b/localization/qqq/qqq.js
index 0e8e6ad35..2c869c37a 100644
--- a/localization/qqq/qqq.js
+++ b/localization/qqq/qqq.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq",null,{menuTitle:"Message Documentation",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.",MathProcessingError:"This message appears when a Javascript error happens during the processing of a mathematical element.",MathError:"This message appears instead of 'Math Processing Error' when the obsolete Accessible configuration is used.",LoadFile:"This appears in the MathJax message box when a file is loading. Parameters:\n* %1 - the file name\n{{Identical|Loading}}",Loading:"This appears in the MathJax message box when a file is loading and the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Loading}}",LoadFailed:"This appears in the MathJax message box when a file fails to load. Parameters:\n* %1 - the file name",ProcessMath:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format.\n\nParameters:\n* %1 - a percentage",Processing:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.",TypesetMath:"This appears in the MathJax message box during the layout process of converting the internal format to the output format.\n\nParameters:\n* %1 - a percentage",Typesetting:"This appears in the MathJax message box during the layout process of converting the internal format to the output format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.",MathJaxNotSupported:"This appears in the MathJax message box when MathJax determines the browser does not have adequate features."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/qqq.js");
+MathJax.Localization.addTranslation("qqq",null,{menuTitle:"Message Documentation",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.",MathProcessingError:"This message appears when a Javascript error happens during the processing of a mathematical element.",MathError:"This message appears instead of 'Math Processing Error' when the obsolete Accessible configuration is used.",LoadFile:"This appears in the MathJax message box when a file is loading. Parameters:\n* %1 - the file name\n{{Identical|Loading}}",Loading:"This appears in the MathJax message box when a file is loading and the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Loading}}",LoadFailed:"This appears in the MathJax message box when a file fails to load. Parameters:\n* %1 - the file name",ProcessMath:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format.\n\nParameters:\n* %1 - a percentage",Processing:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Processing}}",TypesetMath:"This appears in the MathJax message box during the layout process of converting the internal format to the output format.\n\nParameters:\n* %1 - a percentage",Typesetting:"This appears in the MathJax message box during the layout process of converting the internal format to the output format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.",MathJaxNotSupported:"This appears in the MathJax message box when MathJax determines the browser does not have adequate features."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/qqq.js");
diff --git a/localization/ru/FontWarnings.js b/localization/ru/FontWarnings.js
index 9581e4142..2bcde0f92 100644
--- a/localization/ru/FontWarnings.js
+++ b/localization/ru/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/FontWarnings.js");
+MathJax.Localization.addTranslation("ru","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0435 \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0441\u0435\u0442\u0435\u0432\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432. \u0427\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u043F\u043E\u043A\u0430\u0437, \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u0439 \u043C\u0430\u0448\u0438\u043D\u0435.",imageFonts:"MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0430\u00A0\u043D\u0435\u00A0\u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0438\u043B\u0438\u00A0\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435. \u042D\u0442\u043E \u0437\u0430\u043C\u0435\u0434\u043B\u044F\u0435\u0442 \u043F\u043E\u043A\u0430\u0437 \u0444\u043E\u0440\u043C\u0443\u043B, \u043A\u0440\u043E\u043C\u0435 \u0442\u043E\u0433\u043E, \u043E\u043D\u0438 \u043C\u043E\u0433\u0443\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0442\u044C\u0441\u044F \u0441\u00A0\u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043D\u0438\u0435\u043C \u043C\u0435\u043D\u044C\u0448\u0438\u043C, \u0447\u0435\u043C\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u043F\u0440\u0438\u043D\u0442\u0435\u0440.",noFonts:"MathJax \u043D\u0435\u00A0\u0441\u0443\u043C\u0435\u043B \u043F\u043E\u0434\u043E\u0431\u0440\u0430\u0442\u044C \u0448\u0440\u0438\u0444\u0442 \u0434\u043B\u044F\u00A0\u0432\u044B\u0432\u043E\u0434\u0430 \u0444\u043E\u0440\u043C\u0443\u043B, \u0430\u00A0\u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u043E\u043D \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0441\u0438\u043C\u0432\u043E\u043B\u044B Unicode, \u0432\u00A0\u043D\u0430\u0434\u0435\u0436\u0434\u0435, \u0447\u0442\u043E\u00A0\u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u0441\u043C\u043E\u0436\u0435\u0442 \u0438\u0445 \u043F\u043E\u043A\u0430\u0437\u0430\u0442\u044C. \u041D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0435, \u0438\u043B\u0438 \u0434\u0430\u0436\u0435 \u0432\u0441\u0435, \u0441\u0438\u043C\u0432\u043E\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u043D\u0435\u00A0\u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C\u0441\u044F.",webFonts:"\u0411\u043E\u043B\u044C\u0448\u0430\u044F \u0447\u0430\u0441\u0442\u044C \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u0445 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u043E\u0432 \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u0442\u044C \u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B. \u0415\u0441\u043B\u0438\u00A0\u043E\u0431\u043D\u043E\u0432\u0438\u0442\u044C \u0438\u043B\u0438\u00A0\u0441\u043C\u0435\u043D\u0438\u0442\u044C \u0431\u0440\u0430\u0443\u0437\u0435\u0440, \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043B\u0443\u0447\u0448\u0435.",fonts:"MathJax \u043C\u043E\u0436\u0435\u0442 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0438\u043B\u0438 [STIX fonts](%1) \u0438\u043B\u0438 [MathJax TeX fonts](%2).  \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u043E\u0434\u043D\u043E \u0438\u0437\u00A0\u0434\u0432\u0443\u0445, \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",STIXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [STIX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax.",TeXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [MathJax TeX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/FontWarnings.js");
diff --git a/localization/ru/HTML-CSS.js b/localization/ru/HTML-CSS.js
index 7fa6d2e13..6c93cc87e 100644
--- a/localization/ru/HTML-CSS.js
+++ b/localization/ru/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1",CantLoadWebFont:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u0441 \u0443\u0434\u0430\u043B\u0451\u043D\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0430",CantFindFontUsing:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0448\u0440\u0438\u0444\u0442 \u0441\u0440\u0435\u0434\u0438 %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B \u2014 \u0432\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430 \u043E\u0441\u043D\u043E\u0432\u0435 \u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0439"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HTML-CSS.js");
+MathJax.Localization.addTranslation("ru","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1",CantLoadWebFont:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u0441 \u0443\u0434\u0430\u043B\u0451\u043D\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0430",CantFindFontUsing:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0448\u0440\u0438\u0444\u0442 \u0441\u0440\u0435\u0434\u0438 %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B \u2014 \u0432\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430 \u043E\u0441\u043D\u043E\u0432\u0435 \u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0439"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HTML-CSS.js");
diff --git a/localization/ru/HelpDialog.js b/localization/ru/HelpDialog.js
index e1bdc784e..6c27979a3 100644
--- a/localization/ru/HelpDialog.js
+++ b/localization/ru/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HelpDialog.js");
+MathJax.Localization.addTranslation("ru","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0447\u044C \u043F\u043E MathJax",MathJax:"*MathJax*\u00A0\u2014 \u0431\u0438\u0431\u043B\u0438\u043E\u0442\u0435\u043A\u0430 \u043D\u0430\u00A0JavaScript, \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0449\u0430\u044F \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0445. \u0418\u0445\u00A0\u0447\u0438\u0442\u0430\u0442\u0435\u043B\u044F\u043C \u0434\u043B\u044F\u00A0\u044D\u0442\u043E\u0433\u043E \u043D\u0438\u0447\u0435\u0433\u043E \u043D\u0435\u00A0\u043D\u0430\u0434\u043E \u0434\u0435\u043B\u0430\u0442\u044C.",Browsers:"*\u0411\u0440\u0430\u0443\u0437\u0435\u0440\u044B*: MathJax \u0440\u0430\u0431\u043E\u0442\u0430\u0435\u0442 \u0441\u043E\u00A0\u0432\u0441\u0435\u043C\u0438 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u043C\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044F IE6+, Firefox 3+, Chrome 0.2+, Safari 2+. Opera 9.6+ \u0438\u00A0\u0431\u043E\u043B\u044C\u0448\u0438\u043D\u0441\u0442\u0432\u043E \u043C\u043E\u0431\u0438\u043B\u044C\u043D\u044B\u0445",Menu:"*\u041C\u0435\u043D\u044E \u0444\u043E\u0440\u043C\u0443\u043B*: MathJax \u0434\u043E\u0431\u0430\u0432\u043B\u044F\u0435\u0442 \u043A\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u0430\u043C \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E, \u0432\u044B\u0437\u044B\u0432\u0430\u0435\u043C\u043E\u0435 \u043F\u0440\u0430\u0432\u043E\u0439 \u043A\u043D\u043E\u043F\u043A\u043E\u0439 \u043C\u044B\u0448\u0438 \u0438\u043B\u0438\u00A0\u0449\u0435\u043B\u0447\u043A\u043E\u043C \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Ctrl.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443 \u043A\u0430\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0438\u0434\u0435\u0442\u044C \u0438\u00A0\u0441\u043A\u043E\u043F\u0438\u0440\u043E\u0432\u0430\u0442\u044C \u0438\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0444\u043E\u0440\u043C\u0430\u0442\u0435 MathML \u0438\u043B\u0438\u00A0\u043F\u0435\u0440\u0432\u043E\u043D\u0430\u0447\u0430\u043B\u044C\u043D\u043E\u043C.",Settings:"*\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u043D\u0430\u0441\u0442\u0440\u0430\u0438\u0432\u0430\u0442\u044C \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438 MathJax, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0440\u0430\u0437\u043C\u0435\u0440 \u0444\u043E\u0440\u043C\u0443\u043B \u0438\u00A0\u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u0438\u0445\u00A0\u043F\u043E\u043A\u0430\u0437\u0430.",Language:"*\u042F\u0437\u044B\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0432\u044B\u0431\u0440\u0430\u0442\u044C \u044F\u0437\u044B\u043A \u043C\u0435\u043D\u044E \u0438\u00A0\u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 MathJax.",Zoom:"*\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443.",Accessibilty:"*\u0421\u043F\u0435\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0435 \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u044B \u0447\u0442\u0435\u043D\u0438\u044F, \u043E\u0437\u0432\u0443\u0447\u0438\u0432\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0434\u043B\u044F\u00A0\u0441\u043B\u0435\u043F\u044B\u0445 \u0438\u00A0\u0441\u043B\u0430\u0431\u043E\u0432\u0438\u0434\u044F\u0449\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u044B*: MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0435\u0441\u043B\u0438\u00A0\u043E\u043D\u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u043C \u043A\u043E\u043C\u043F\u044C\u044E\u0442\u0435\u0440\u0435, \u0432\u00A0\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435, \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u044E\u0442\u0441\u044F \u0441\u0435\u0442\u0435\u0432\u044B\u0435. \u041C\u044B \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C [STIX fonts](%1), \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HelpDialog.js");
diff --git a/localization/ru/MathML.js b/localization/ru/MathML.js
index 5c6c8c401..1668c6c8e 100644
--- a/localization/ru/MathML.js
+++ b/localization/ru/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathML.js");
+MathJax.Localization.addTranslation("ru","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u0432\u0435\u0440\u043D\u044B\u0439 mglyph\u02D0 %1",BadMglyphFont:"\u041F\u043B\u043E\u0445\u043E\u0439 \u0448\u0440\u0438\u0444\u0442: %1",MathPlayer:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u0442\u044C MathPlayer.\n\n\u0415\u0441\u043B\u0438\u00A0MathPlayer \u043D\u0435\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435. \u0415\u0441\u043B\u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0432\u0435\u0440\u043E\u044F\u0442\u043D\u043E, \u0412\u0430\u0448\u0438 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 \u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u0438 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u0437\u0430\u043F\u0443\u0441\u043A ActiveX. \u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB \u0438\u00A0\u0443\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u0438\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B ActiveX \u0438\u00A0\u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0435 \u0434\u0432\u043E\u0438\u0447\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430 \u0438\u00A0\u0441\u0446\u0435\u043D\u0430\u0440\u0438\u0435\u0432 \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B.\n\n\u0421\u0435\u0439\u0447\u0430\u0441 \u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u0432\u0438\u0434\u0435\u0442\u044C \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043E\u0431\u00A0\u043E\u0448\u0438\u0431\u043A\u0430\u0445, \u0430\u00A0\u043D\u0435\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u044B.",CantCreateXMLParser:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u0441\u043E\u0437\u0434\u0430\u0442\u044C \u043F\u0430\u0440\u0441\u0435\u0440 XML \u0434\u043B\u044F\u00A0MathML. \u0423\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u044D\u043B\u0435\u043C\u0435\u043D\u0442\u044B ActiveX, \u043E\u0442\u043C\u0435\u0447\u0435\u043D\u043D\u044B\u0435 \u043A\u0430\u043A\u00A0\u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u044B\u0435 \u0434\u043B\u044F\u00A0\u0441\u043A\u0440\u0438\u043F\u0442\u043E\u0432, \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B (\u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB).\n\nMathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0432\u0435\u0441\u0442\u0438 \u0444\u043E\u0440\u043C\u0443\u043B\u044B MathML.",UnknownNodeType:"\u041D\u0435\u0438\u0437\u043C\u0435\u0441\u0442\u043D\u044B\u0439 \u0442\u044D\u0433 %1",UnexpectedTextNode:"\u0422\u0435\u043A\u0441\u0442\u043E\u0432\u044B\u0439 \u0443\u0437\u0435\u043B %1 \u0432\u00A0\u044D\u0442\u043E\u043C \u043C\u0435\u0441\u0442\u0435 \u043D\u0435\u00A0\u043E\u0436\u0438\u0434\u0430\u0435\u0442\u0441\u044F",ErrorParsingMathML:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML",ParsingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML: %1",MathMLSingleElement:"MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u0442\u044C \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0434\u0438\u043D \u0442\u044D\u0433 \u003Cmath\u003E",MathMLRootElement:"\u041A\u043E\u0440\u043D\u0435\u0432\u044B\u043C \u0443\u0437\u043B\u043E\u043C MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u003Cmath\u003E, \u043D\u0435\u00A0%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathML.js");
diff --git a/localization/ru/MathMenu.js b/localization/ru/MathMenu.js
index 0428f851e..a3eaae581 100644
--- a/localization/ru/MathMenu.js
+++ b/localization/ru/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","MathMenu",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathMenu.js");
+MathJax.Localization.addTranslation("ru","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0432\u0438\u0434\u0435:",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0438\u043D\u0430\u043B\u044C\u043D\u044B\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B TeX",AsciiMathInput:"\u0412\u0432\u043E\u0434 AsciiMathML",Original:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u0432\u0438\u0434",ErrorMessage:"\u0421\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u043E\u0431 \u043E\u0448\u0438\u0431\u043A\u0435",Annotation:"\u0410\u043D\u043D\u043E\u0442\u0430\u0446\u0438\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043C\u044B\u0441\u043B\u043E\u0432\u0430\u044F \u0440\u0430\u0437\u043C\u0435\u0442\u043A\u0430",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u043C\u043C\u0435\u043D\u0442\u0430\u0440\u0438\u0438 \u0438\u0437 TeX \u0432 MathML",Settings:"\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 Math",ZoomTrigger:"\u0412\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F",Hover:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0432\u0435\u0434\u0435\u043D\u0438\u0438 \u0443\u043A\u0430\u0437\u0430\u0442\u0435\u043B\u044F \u043C\u044B\u0448\u0438",Click:"\u041F\u0440\u0438 \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",DoubleClick:"\u041F\u0440\u0438\u00A0\u0434\u0432\u043E\u0439\u043D\u043E\u043C \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F",TriggerRequires:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 \u043A\u043B\u0430\u0432\u0438\u0448\u0435:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435",Renderer:"\u041E\u0442\u0440\u0438\u0441\u043E\u0432\u0449\u0438\u043A \u0444\u043E\u0440\u043C\u0443\u043B:",MPHandles:"\u041F\u0440\u0435\u0434\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0443 \u0449\u0435\u043B\u0447\u043A\u043E\u0432 \u043C\u044B\u0448\u044C\u044E MathPlayer",MenuEvents:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E",MouseEvents:"\u0421\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",MenuAndMouse:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E \u0438 \u0441\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",FontPrefs:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u044B \u0448\u0440\u0438\u0444\u0442\u043E\u0432",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",TeXWeb:"TeX (\u0438\u043D\u0442\u0435\u0440\u043D\u0435\u0442)",TeXImage:"TeX (\u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",STIXWeb:"STIX (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E",Browser:"\u0411\u0440\u0430\u0443\u0437\u0435\u0440",Scale:"\u0423\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0432\u0441\u0435 \u0444\u043E\u0440\u043C\u0443\u043B\u044B\u2026",Discoverable:"\u041F\u043E\u0434\u0441\u0432\u0435\u0442\u0438\u0442\u044C \u043F\u043E\u0434\u00A0\u043C\u044B\u0448\u044C\u044E",Locale:"\u042F\u0437\u044B\u043A",LoadLocale:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0441 URL-\u0430\u0434\u0440\u0435\u0441\u0430...",About:"\u041E MathJax",Help:"\u041F\u043E\u043C\u043E\u0449\u044C \u043F\u043E MathJax",localTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",webTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",imagefonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432",localSTIXfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u043E\u0432 STIX \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",webSVGfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0441\u0435\u0442\u0435\u0432\u044B\u0445 SVG-\u0448\u0440\u0438\u0444\u0442\u043E\u0432",genericfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C Unicod-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 \u043F\u043E\u00A0\u0443\u043C\u043E\u043B\u0447\u0430\u043D\u0438\u044E \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",wofforotffonts:"\u0428\u0440\u0438\u0444\u0442\u044B WOFF \u0438\u043B\u0438\u00A0OTF",eotffonts:"EOT-\u0448\u0440\u0438\u0444\u0442\u044B",svgfonts:"SVG-\u0448\u0440\u0438\u0444\u0442\u044B",WebkitNativeMMLWarning:"\u041F\u043E\u0445\u043E\u0436\u0435, \u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u0441\u043F\u043E\u0441\u043E\u0431\u0435\u043D \u0441\u0430\u043C \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u044C MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u043F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C MathML \u043C\u043E\u0436\u0435\u0442 \u0441\u0434\u0435\u043B\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0435\u0447\u0438\u0442\u0430\u0435\u043C\u044B\u043C\u0438",MSIENativeMMLWarning:"Internet Explorer \u043C\u043E\u0436\u0435\u0442 \u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C MathML \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u043F\u043B\u0430\u0433\u0438\u043D\u0430 MathPlayer.",OperaNativeMMLWarning:"Opera \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u043D\u043E \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 MathML \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u0431\u0443\u0434\u0435\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043F\u043B\u043E\u0445\u043E.",SafariNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u0432\u0441\u0435\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0445 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0435\u0439, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u0431\u044B\u0442\u044C\u00A0\u0432\u044B\u0432\u0435\u0434\u0435\u043D\u0430 \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",FirefoxNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u043D\u0435\u00A0\u0432\u0441\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0435 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C\u0441\u044F \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",MSIESVGWarning:"SVG \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442\u0441\u044F Internet Explorer'\u043E\u043C \u0434\u043E\u00A0IE9 \u0438\u00A0\u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u044D\u043C\u0443\u043B\u044F\u0446\u0438\u0438 \u0432\u0435\u0440\u0441\u0438\u0438 IE8 \u0438\u043B\u0438\u00A0\u043D\u0438\u0436\u0435. \u041F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C SVG \u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0437\u0432\u0430\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435 \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0444\u043E\u0440\u043C\u0443\u043B.",LoadURL:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443:",BadURL:"URL \u0434\u043E\u043B\u0436\u0435\u043D \u0443\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C \u043D\u0430\u00A0\u0444\u0430\u0439\u043B JavaScript, \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u044F\u044E\u0449\u0438\u0439 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F. \u0424\u0430\u0439\u043B\u044B JavaScript \u043E\u043A\u0430\u043D\u0447\u0438\u0432\u0430\u044E\u0442\u0441\u044F \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043D\u0438\u0435\u043C \u00AB.js\u00BB",BadData:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0445 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443 %1 \u043D\u0435\u00A0\u0443\u0434\u0430\u043B\u0430\u0441\u044C",SwitchAnyway:"\u0412\u0441\u0451 \u0440\u0430\u0432\u043D\u043E \u0441\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u043E\u0442\u0440\u0438\u0441\u043E\u0432\u043A\u0438 \u0444\u043E\u0440\u043C\u0443\u043B?\n\n(\u041D\u0430\u0436\u043C\u0438\u0442\u0435 OK \u0434\u043B\u044F\u00A0\u0441\u043C\u0435\u043D\u044B, \u041E\u0442\u043C\u0435\u043D\u0430, \u0447\u0442\u043E\u0431\u044B\u00A0\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043F\u0440\u0435\u0436\u043D\u0438\u0439)",ScaleMath:"\u0418\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0430\u0441\u0448\u0442\u0430\u0431 \u0432\u0441\u0435\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0432\u044B\u0440\u0430\u0436\u0435\u043D\u0438\u0439 (\u043F\u043E \u0441\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u044E \u0441 \u043E\u043A\u0440\u0443\u0436\u0430\u044E\u0449\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C) \u043D\u0430",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0440\u0430\u0432\u0435\u043D \u043D\u0443\u043B\u044E",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0432\u044B\u0440\u0430\u0436\u0435\u043D \u0432 \u043F\u0440\u043E\u0446\u0435\u043D\u0442\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, 120%%)",IE8warning:"\u042D\u0442\u043E \u043E\u0442\u043A\u043B\u044E\u0447\u0438\u0442 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0438\u00A0\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F, \u043D\u043E\u00A0\u043C\u0435\u043D\u044E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E \u043F\u043E\u00A0\u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt.\n\n\u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u043E \u0438\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0431\u0443\u0434\u0435\u0442 \u043E\u0442\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u043D\u043E\u00A0\u043F\u043E \u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt \u043E\u043D\u043E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E.",NoOriginalForm:"\u041D\u0435\u0442 \u0438\u0441\u0445\u043E\u0434\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430",Close:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C",EqSource:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathMenu.js");
diff --git a/localization/ru/TeX.js b/localization/ru/TeX.js
index 84c0acc84..d6dec9cbd 100644
--- a/localization/ru/TeX.js
+++ b/localization/ru/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/TeX.js");
+MathJax.Localization.addTranslation("ru","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u041B\u0438\u0448\u043D\u044F\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",ExtraCloseMissingOpen:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",MissingLeftExtraRight:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\left \u0438\u043B\u0438 \u043B\u0438\u0448\u043D\u0438\u0439 \\right",MissingScript:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043D\u0430\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0438\u043B\u0438 \u043F\u043E\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442",ExtraLeftMissingRight:"\u041B\u0438\u0448\u043D\u0438\u0439 \\left \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\right",Misplaced:"%1 \u043D\u0435\u00A0\u043D\u0430\u00A0\u043C\u0435\u0441\u0442\u0435",MissingOpenForSub:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",MissingOpenForSup:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0440\u044B\u0442\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \\end{%2}",EnvMissingEnd:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \\end{%1}",MissingBoxFor:"\u0423\u00A0%1 \u043D\u0435\u0442 \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u043C\u043E\u0433\u043E",MissingCloseBrace:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0443\u043F\u0440\u0430\u0432\u043B\u044F\u044E\u0449\u0430\u044F \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u044C %1",DoubleExponent:"\u0414\u0432\u043E\u0439\u043D\u0430\u044F \u044D\u043A\u0441\u043F\u043E\u043D\u0435\u043D\u0442\u0430: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 \u0441\u043A\u043E\u0431\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u0438\u044F",DoubleSubscripts:"\u0414\u0432\u0430 \u043D\u0438\u0436\u043D\u0438\u0445 \u0438\u043D\u0434\u0435\u043A\u0441\u0430 \u043F\u043E\u0434\u0440\u044F\u0434: \u043F\u043E\u0441\u0442\u0430\u0432\u044C\u0442\u0435 \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u0435 \u0441\u043A\u043E\u0431\u043A\u0438",DoubleExponentPrime:"\u0428\u0442\u0440\u0438\u0445 \u043F\u043E\u0441\u043B\u0435\u00A0\u0432\u0435\u0440\u0445\u043D\u0435\u0433\u043E \u0438\u043D\u0434\u0435\u043A\u0441\u0430: \u0443\u0442\u043E\u0447\u043D\u0438\u0442\u0435, \u043A\u00A0\u0447\u0435\u043C\u0443 \u043E\u043D \u043E\u0442\u043D\u043E\u0441\u0438\u0442\u0441\u044F, \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u043C\u0438 \u0441\u043A\u043E\u0431\u043A\u0430\u043C\u0438",CantUseHash1:"\u0412\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u00ABmath\u00BB \u043D\u0435\u043B\u044C\u0437\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0430 #",MisplacedMiddle:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u043D\u0443\u0442\u0440\u0438 \\left \u0438\u00A0\\right",MisplacedLimits:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u043C\u0438",MisplacedMoveRoot:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u00A0\u043A\u043E\u0440\u043D\u044F\u0445",MultipleCommand:"\u041D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0446\u0435\u043B\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0441\u0438\u043C\u0432\u043E\u043B MML",InvalidMathMLAttr:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0442\u0435\u0433\u0430 MML %2",MaxMacroSub1:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0430: \u043D\u0435\u00A0\u0440\u0435\u043A\u0443\u0440\u0441\u0438\u044F\u00A0\u043B\u0438 \u044D\u0442\u043E?",MaxMacroSub2:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u043F\u0440\u0435\u0434\u0435\u043B\u044C\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0439: \u043D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0438 \u0432\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0438 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F?",MissingArgFor:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0421\u043B\u0438\u0448\u043A\u043E\u043C \u043C\u043D\u043E\u0433\u043E \u0441\u0442\u043E\u043B\u0431\u0446\u043E\u0432 \u0432\u00A0\\cases",BracketMustBeDimension:"\u0420\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C (?) %1 \u043D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C",InvalidEnv:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F \u00AB%1\u00BB",UnknownEnv:"\u041D\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043D\u043E\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0435 \u00AB%1\u00BB",ExtraCloseLooking:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430, \u043A\u043E\u0433\u0434\u0430 \u043E\u0436\u0438\u0434\u0430\u043B\u0430\u0441\u044C %1",MissingCloseBracket:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0443\u044E ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0430 \u043A %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u043B\u0438 \u043D\u0435 \u0440\u0430\u0441\u043F\u043E\u0437\u043D\u0430\u043D \u0440\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C \u0434\u043B\u044F %1",MissingDimOrUnits:"\u041D\u0435\u0442\u00A0\u0435\u0434\u0438\u043D\u0438\u0446\u044B \u0438\u0437\u043C\u0435\u0440\u0435\u043D\u0438\u044F \u0432\u00A0%1",TokenNotFoundForCommand:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041D\u0435\u0437\u0430\u043A\u0440\u044B\u0442\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u0430 \u0432\u00A0\\text{}",IllegalMacroParam:"\u0421\u0441\u044B\u043B\u043A\u0430 \u043D\u0430\u00A0\u043D\u0435\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044E\u0449\u0438\u0439 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0430",MaxBufferSize:"\u0418\u0441\u0447\u0435\u0440\u043F\u0430\u043D \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u0431\u0443\u0444\u0435\u0440 MathJax: \u043D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u043E\u0433\u043E \u043C\u0430\u043A\u0440\u043E\u0441\u0430?",CommandNotAllowedInEnv:"%1 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 %2",MultipleLabel:"\u041C\u0435\u0442\u043A\u0430 \u00AB%1\u00BB \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430 \u043D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E \u0440\u0430\u0437",CommandAtTheBeginingOfLine:"%1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u0432\u00A0\u043D\u0430\u0447\u0430\u043B\u0435 \u0441\u0442\u0440\u043E\u043A\u0438",IllegalAlign:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u044B\u0440\u0430\u0432\u043D\u0438\u0432\u0430\u043D\u0438\u0435 \u0432\u00A0%1",BadMathStyleFor:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0441\u0442\u0438\u043B\u044C \u0434\u043B\u044F\u00A0%1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0442\u0443\u0440\u0430\u043B\u044C\u043D\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u043B\u043E\u0436\u0435\u043D\u0438\u0435 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440",MultlineRowsOneCol:"\u0412 \u0441\u0442\u0440\u043E\u043A\u0430\u0445 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F %1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u043F\u043E\u00A0\u043E\u0434\u043D\u043E\u043C\u0443 \u0441\u0442\u043E\u043B\u0431\u0446\u0443",MultipleBBoxProperty:"%1 \u0443\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0430\u0436\u0434\u044B \u0432 %2",InvalidBBoxProperty:"'%1'\u00A0\u2014 \u043D\u0435\u00A0\u0446\u0432\u0435\u0442, \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u043E\u0442\u0441\u0442\u0443\u043F \u0438\u043B\u0438\u00A0\u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u041B\u0438\u0448\u043D\u0435\u0435 %1 \u0438\u043B\u0438\u00A0\u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u043E \\begingroup",GlobalNotFollowedBy:"\u041F\u043E\u0441\u043B\u0435 %1 \u043D\u0435\u0442 \\let, \\def \u0438\u043B\u0438\u00A0\\newcommand",UndefinedColorModel:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C \u00AB%1\u00BB \u043D\u0435\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430",ModelArg1:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C %1 \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u0442\u0440\u0451\u0445\u00A0\u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432",InvalidDecimalNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0434\u0435\u0441\u044F\u0442\u0438\u0447\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u0438\u044F \u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432 \u0446\u0432\u0435\u0442\u0430 \u0432\u00A0\u043C\u043E\u0434\u0435\u043B\u0438 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C \u043C\u0435\u0436\u0434\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0432\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0431\u043E\u0440 \u043A\u043E\u043C\u0430\u043D\u0434",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u043D\u0430 \u0431\u044B\u0442\u044C \u043F\u0430\u0440\u0430 \u0446\u0435\u043B\u044B\u0445 \u0447\u0438\u0441\u0435\u043B, \u0440\u0430\u0437\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0437\u0430\u043F\u044F\u0442\u043E\u0439",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u044C\u0438\u043C \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043A\u043E\u0434 \u0441\u0438\u043C\u0432\u043E\u043B\u0430 \u042E\u043D\u0438\u043A\u043E\u0434",NoClosingChar:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0438\u0439 \u0441\u0438\u043C\u0432\u043E\u043B %1",IllegalControlSequenceName:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043A\u043E\u043C\u0430\u043D\u0434\u044B %1",IllegalParamNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1",MissingCS:"\u041F\u043E\u0441\u043B\u0435 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0438\u0434\u0442\u0438 \u043A\u043E\u043C\u0430\u043D\u0434\u044B",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 # \u0432\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0438 %1",SequentialParam:"\u041D\u043E\u043C\u0435\u0440\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C\u00A0\u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u044B",MissingReplacementString:"\u041D\u0435\u0442\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u044F %1",MismatchUseDef:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u044B\u0439 \u0432\u044B\u0437\u043E\u0432 %1",RunawayArgument:"\u0412\u00A0\u0432\u044B\u0437\u043E\u0432\u0435 %1 \u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440?",NoClosingDelim:"%1 \u043D\u0435 \u0437\u0430\u043A\u0440\u044B\u0442\u043E"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/TeX.js");
diff --git a/localization/ru/ru.js b/localization/ru/ru.js
index 649bf6a7c..a3fd33b01 100644
--- a/localization/ru/ru.js
+++ b/localization/ru/ru.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru",null,{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430\u044F \u043E\u0448\u0438\u0431\u043A\u0430",LoadFile:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 %1",Loading:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430",LoadFailed:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathJax",MathProcessingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0438"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/ru.js");
+MathJax.Localization.addTranslation("ru",null,{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax \u043D\u0430\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u0441\u043A\u043E\u0439 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0430. \u0412\u044B \u0445\u043E\u0442\u0438\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u044C \u0435\u0433\u043E?\n\n(\u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u043D\u0430\u0436\u0430\u0442\u044C \u041E\u0442\u043C\u0435\u043D\u0430, \u0435\u0441\u043B\u0438 \u0432\u044B \u0441\u0430\u043C\u043E\u0441\u0442\u043E\u044F\u0442\u0435\u043B\u044C\u043D\u043E \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u043B\u0438 \u0444\u0430\u0439\u043B \u043A\u0443\u043A\u0438).",MathProcessingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430\u044F \u043E\u0448\u0438\u0431\u043A\u0430",LoadFile:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 %1",Loading:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430",LoadFailed:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/ru.js");
diff --git a/localization/sl/FontWarnings.js b/localization/sl/FontWarnings.js
index 2c827f702..51e905181 100644
--- a/localization/sl/FontWarnings.js
+++ b/localization/sl/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.",imageFonts:"MathJax ne uporablja lokalnih ali spletnih pisav, temve\u010D svoje slikovne pisave. Izrisovanje bo zato po\u010Dasnej\u0161e, matematika pa se morda ne bo natisnila v popolni lo\u010Dljivosti va\u0161ega tiskalnika.",noFonts:"MathJax ne more najti pisave za prikaz matematike, slikovne pisave pa niso na razpolago, zato v upanju, da jih bo va\u0161 brskalnik lahko prikazal, uporablja generi\u010Dne unikodne znake. Nekateri znaki morda ne bodo prikazani pravilno ali pa sploh ne bodo prikazani.",webFonts:"Ve\u010Dina sodobnih brskalnikov omogo\u010Da prenos pisav prek spleta. S posodobitvijo (ali zamenjavo) svojega brskalnika boste morda lahko izbolj\u0161ali kakovost matematike na tej strani.",fonts:"MathJax lahko uporablja [fonte STIX](%1) ali [fonte MathJax TeX](%2). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te fonte.",STIXPage:"Stran je oblikovana za uporabo [pisav STIX](%1). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te pisave.",TeXPage:"Stran je oblikovana za uporabo [pisav MathJax Tex](%1). Za izbolj\u0161anje svoje izku\u0161nje z MathJax prenesite in namestite te pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/FontWarnings.js");
+MathJax.Localization.addTranslation("sl","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.",imageFonts:"MathJax ne uporablja lokalnih ali spletnih pisav, temve\u010D svoje slikovne pisave. Izrisovanje bo zato po\u010Dasnej\u0161e, matematika pa se morda ne bo natisnila v popolni lo\u010Dljivosti va\u0161ega tiskalnika.",noFonts:"MathJax ne more najti pisave za prikaz matematike, slikovne pisave pa niso na razpolago, zato v upanju, da jih bo va\u0161 brskalnik lahko prikazal, uporablja generi\u010Dne unikodne znake. Nekateri znaki morda ne bodo prikazani pravilno ali pa sploh ne bodo prikazani.",webFonts:"Ve\u010Dina sodobnih brskalnikov omogo\u010Da prenos pisav prek spleta. S posodobitvijo (ali zamenjavo) svojega brskalnika boste morda lahko izbolj\u0161ali kakovost matematike na tej strani.",fonts:"MathJax lahko uporablja [fonte STIX](%1) ali [fonte MathJax TeX](%2). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te fonte.",STIXPage:"Stran je oblikovana za uporabo [pisav STIX](%1). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te pisave.",TeXPage:"Stran je oblikovana za uporabo [pisav MathJax Tex](%1). Za izbolj\u0161anje svoje izku\u0161nje z MathJax prenesite in namestite te pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/FontWarnings.js");
diff --git a/localization/sl/HTML-CSS.js b/localization/sl/HTML-CSS.js
index 151644dc1..8a4af87d4 100644
--- a/localization/sl/HTML-CSS.js
+++ b/localization/sl/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"Nalagam spletni font %1",CantLoadWebFont:"Spletne pisave %1 ni mogo\u010De nalo\u017Eiti",FirefoxCantLoadWebFont:"Firefox ne more nalo\u017Eiti spletnih pisav na oddaljenem gostitelju.",CantFindFontUsing:"Z uporabo %1 ne morem najti veljavne pisave.",WebFontsNotAvailable:"Web-Fonts niso na razpolago. Namesto njih uporabljam slikovne pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HTML-CSS.js");
+MathJax.Localization.addTranslation("sl","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"Nalagam spletni font %1",CantLoadWebFont:"Spletne pisave %1 ni mogo\u010De nalo\u017Eiti",FirefoxCantLoadWebFont:"Firefox ne more nalo\u017Eiti spletnih pisav na oddaljenem gostitelju.",CantFindFontUsing:"Z uporabo %1 ne morem najti veljavne pisave.",WebFontsNotAvailable:"Web-Fonts niso na razpolago. Namesto njih uporabljam slikovne pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HTML-CSS.js");
diff --git a/localization/sl/HelpDialog.js b/localization/sl/HelpDialog.js
index affce84ce..3bd630619 100644
--- a/localization/sl/HelpDialog.js
+++ b/localization/sl/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"Pomo\u010D za MathJax",MathJax:"*MathJax* je javaskriptna knji\u017Enica, ki ustvarjalcem spletnih strani omogo\u010Da vklju\u010Ditev matematike. Kot bralec ne potrebujete ni\u010Desar, da bi se to zgodilo.",Browsers:"*Brskalniki*: MathJax deluje v vseh sodobnih brskalnikih, vklju\u010Dno z IE6+, Firefoxom 3+, Chromeom 0.2+, Safarijem 2+, Opero 9.6+, in v ve\u010Dini mobilnih brskalnikov.",Menu:"*Meni ena\u010Db*: MathJax k ena\u010Dbam doda kontekstni meni. Za dostop do menija matematiko desno kliknite ali jo kliknite ob dr\u017Eanju tipke CTRL.",ShowMath:"*Prika\u017Ei matematiko kot* vam omogo\u010Da prikaz izvornega ozna\u010Devanja formule za kopiranje in lepljenje (kot MathML ali v izvorni obliki).",Settings:"*Nastavitve* vam dajo nadzor nad mo\u017Enostmi MathJaxa, kot so velikost matematike in mehanizem za prikaz ena\u010Db.",Language:"*Jezik* vam omogo\u010Da izbrati jezik, ki naj ga MathJax uporablja za svoje menije in opozorilna sporo\u010Dila.",Zoom:"*Math Zoom*: \u010De imate te\u017Eave pri branju ena\u010Dbe, jo lahko MathJax pove\u010Da, da jo boste bolje videli.",Accessibilty:"*Dostopnost*: MathJax samodejno deluje z bralniki zaslona in omogo\u010Da dostop do matematike tudi slepim in slabovidnim.",Fonts:"*Pisave*: MathJax bo uporabljal nekatere matemati\u010Dne pisave, \u010De so name\u0161\u010Dene na ra\u010Dunalniku, sicer pa pisave s spleta. \u010Ceprav niso nujne, bodo lokalno name\u0161\u010Dene pisave pospe\u0161ile prikaz. Predlagamo namestitev [pisav STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HelpDialog.js");
+MathJax.Localization.addTranslation("sl","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Pomo\u010D za MathJax",MathJax:"*MathJax* je javaskriptna knji\u017Enica, ki ustvarjalcem spletnih strani omogo\u010Da vklju\u010Ditev matematike. Kot bralec ne potrebujete ni\u010Desar, da bi se to zgodilo.",Browsers:"*Brskalniki*: MathJax deluje v vseh sodobnih brskalnikih, vklju\u010Dno z IE6+, Firefoxom 3+, Chromeom 0.2+, Safarijem 2+, Opero 9.6+, in v ve\u010Dini mobilnih brskalnikov.",Menu:"*Meni ena\u010Db*: MathJax k ena\u010Dbam doda kontekstni meni. Za dostop do menija matematiko desno kliknite ali jo kliknite ob dr\u017Eanju tipke CTRL.",ShowMath:"*Prika\u017Ei matematiko kot* vam omogo\u010Da prikaz izvornega ozna\u010Devanja formule za kopiranje in lepljenje (kot MathML ali v izvorni obliki).",Settings:"*Nastavitve* vam dajo nadzor nad mo\u017Enostmi MathJaxa, kot so velikost matematike in mehanizem za prikaz ena\u010Db.",Language:"*Jezik* vam omogo\u010Da izbrati jezik, ki naj ga MathJax uporablja za svoje menije in opozorilna sporo\u010Dila.",Zoom:"*Math Zoom*: \u010De imate te\u017Eave pri branju ena\u010Dbe, jo lahko MathJax pove\u010Da, da jo boste bolje videli.",Accessibilty:"*Dostopnost*: MathJax samodejno deluje z bralniki zaslona in omogo\u010Da dostop do matematike tudi slepim in slabovidnim.",Fonts:"*Pisave*: MathJax bo uporabljal nekatere matemati\u010Dne pisave, \u010De so name\u0161\u010Dene na ra\u010Dunalniku, sicer pa pisave s spleta. \u010Ceprav niso nujne, bodo lokalno name\u0161\u010Dene pisave pospe\u0161ile prikaz. Predlagamo namestitev [pisav STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HelpDialog.js");
diff --git a/localization/sl/MathML.js b/localization/sl/MathML.js
index 496a5a8f3..4cd68d8a7 100644
--- a/localization/sl/MathML.js
+++ b/localization/sl/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"Neveljaven mglyph: %1",BadMglyphFont:"Neveljavna pisava: %1",MathPlayer:"MathJax ni mogel nastaviti programa MathPlayer.\n\n\u010Ce MathPlayer ni name\u0161\u010Den, ga morate najprej namestiti. Sicer morda njegov zahon prepre\u010Dujejo va\u0161e varnostne nastavitve. Uporabite element Internetne mo\u017Enosti [Internet Options] pod menijem Orodja [Tools] in izberite zavihek Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]. Preverite, alo so nastavitve za 'Za\u017Eeni krmilne elemente ActiveX' in 'Binarna in skriptna vedenja' omogo\u010Dene.\n\nTrenutno boste namesto matematike videli sporo\u010Dila o napakah.",CantCreateXMLParser:"MathJax ne more ustvariti raz\u010Dlenjevalnika XML za MathML. Preverite, ali je varnostna nastavitev 'Krmilni elementi Script ActiveX ozna\u010Deni kot varni za skriptiranje' omogo\u010Dena (da to preverite, v meniju Orodja [Tools] uporabite element Internetne mo\u017Enosti [Internet Options], nato izberite plo\u0161\u010Do Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]).",UnknownNodeType:"Neznana vrsta vozli\u0161\u010Da: %1",UnexpectedTextNode:"Nepri\u010Dakovano tekstovno vozli\u0161\u010De: %1",ErrorParsingMathML:"Napaka pri raz\u010Dlenjevanju MathML",ParsingError:"Napaka pri raz\u010Dlenjevanju MathML: %1",MathMLSingleElement:"MathML mora biti oblikovan z enim samim elementom",MathMLRootElement:"MathML mora biti oblikovan z elementom \u003Cmath\u003E, ne s korenom %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathML.js");
+MathJax.Localization.addTranslation("sl","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"Neveljaven mglyph: %1",BadMglyphFont:"Neveljavna pisava: %1",MathPlayer:"MathJax ni mogel nastaviti programa MathPlayer.\n\n\u010Ce MathPlayer ni name\u0161\u010Den, ga morate najprej namestiti. Sicer morda njegov zahon prepre\u010Dujejo va\u0161e varnostne nastavitve. Uporabite element Internetne mo\u017Enosti [Internet Options] pod menijem Orodja [Tools] in izberite zavihek Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]. Preverite, alo so nastavitve za 'Za\u017Eeni krmilne elemente ActiveX' in 'Binarna in skriptna vedenja' omogo\u010Dene.\n\nTrenutno boste namesto matematike videli sporo\u010Dila o napakah.",CantCreateXMLParser:"MathJax ne more ustvariti raz\u010Dlenjevalnika XML za MathML. Preverite, ali je varnostna nastavitev 'Krmilni elementi Script ActiveX ozna\u010Deni kot varni za skriptiranje' omogo\u010Dena (da to preverite, v meniju Orodja [Tools] uporabite element Internetne mo\u017Enosti [Internet Options], nato izberite plo\u0161\u010Do Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]).",UnknownNodeType:"Neznana vrsta vozli\u0161\u010Da: %1",UnexpectedTextNode:"Nepri\u010Dakovano tekstovno vozli\u0161\u010De: %1",ErrorParsingMathML:"Napaka pri raz\u010Dlenjevanju MathML",ParsingError:"Napaka pri raz\u010Dlenjevanju MathML: %1",MathMLSingleElement:"MathML mora biti oblikovan z enim samim elementom",MathMLRootElement:"MathML mora biti oblikovan z elementom \u003Cmath\u003E, ne s korenom %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathML.js");
diff --git a/localization/sl/MathMenu.js b/localization/sl/MathMenu.js
index b74683065..44fcd521e 100644
--- a/localization/sl/MathMenu.js
+++ b/localization/sl/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"Prika\u017Ei matematiko kot",MathMLcode:"Koda MathML",OriginalMathML:"Izvorni MathML",TeXCommands:"Ukazi TeX",AsciiMathInput:"Vnos AsciiMathML",Original:"Izvirna oblika",ErrorMessage:"Sporo\u010Dilo o napaki",Annotation:"Pripis",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML vsebine",OpenMath:"OpenMath",texHints:"V MathML prika\u017Ei namige TeX",Settings:"Nastavitve matematike",ZoomTrigger:"Pro\u017Eilec zumiranja",Hover:"Lebdenje",Click:"Kliknite",DoubleClick:"Dvokliknite",NoZoom:"Brez pove\u010Dave",TriggerRequires:"Pro\u017Eilec potrebuje:",Option:"Mo\u017Enost",Alt:"Alt",Command:"Ukaz",Control:"Kontrolnik",Shift:"Preklop",ZoomFactor:"Faktor zumiranja",Renderer:"Matemati\u010Dni izrisovalnik",MPHandles:"MathPlayer naj upravlja z:",MenuEvents:"Dogodki menija",MouseEvents:"Dogodki mi\u0161ke",MenuAndMouse:"Dogodki mi\u0161ke in menija",FontPrefs:"Nastavitve pisav",ForHTMLCSS:"Za HTML-CSS:",Auto:"Samodejno",TeXLocal:"TeX (lokalno)",TeXWeb:"TeX (splet)",TeXImage:"TeX (slika)",STIXLocal:"STIX (lokalno)",ContextMenu:"Kontekstni meni",Browser:"Brskalnik",Scale:"Umeri vso matematiko ...",Discoverable:"Ob lebdenju ozna\u010Di",Locale:"Jezik",LoadLocale:"Nalo\u017Ei iz spletnega naslova ...",About:"O MathJax",Help:"Pomo\u010D za MathJax",localTeXfonts:"z uporabo lokalnih pisav TeX",webTeXfonts:"z uporabo spletne pisave TeX",imagefonts:"z uporabo slikovnih pisav",localSTIXfonts:"z uporabo lokalnih pisav STIX",webSVGfonts:"z uporabo spletnih pisav SVG",genericfonts:"z uporabo generi\u010Dnih unikodnih pisav",wofforotffonts:"pisave woff ali otf",eotffonts:"pisave eot",svgfonts:"pisave svg",WebkitNativeMMLWarning:"Va\u0161 brskalnik ne podpira MathML sam po sebi, zato ob preklopu na MathML matematika morda ne bo berljiva.",MSIENativeMMLWarning:"Internet Explorer potrebuje za obdelavo izhoda MathML vti\u010Dnik MathPlayer.",OperaNativeMMLWarning:"Podpora Opere za MathML je omejena, zato se bodo ob preklopu na MathML nekateri izrazi morda slabo izrisali.",SafariNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno prikazali.",FirefoxNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno izrisali.",MSIESVGWarning:"V Internet Explorerju pred IE9 in pri emulaciji IE8 ali manj SVG ni podprt. Ob preklopu na SVG se matematika ne bo prikazala pravilno.",LoadURL:"Nalo\u017Ei podatke za prevajanje z naslednjega spletnega naslova:",BadURL:"Spletni naslov mora biti za javaskriptno datoteko, ki opredeljuje podatke MathJax o prevajanju. Imena javaskriptnih datotek se morajo kon\u010Dati z '.js'",BadData:"Nalaganje podatkov za prevajanje iz %1 ni uspelo",SwitchAnyway:"Vseeno zamenjam izrisovalnik?",ScaleMath:"Umeri vso matematiko (v primerjavi z okoli\u0161nim besedilom) z",NonZeroScale:"Merilo ne sme biti ni\u010D",PercentScale:"Merilo naj bo odstotek (npr. 120%%)",IE8warning:"To onemogo\u010Di meni MathJax in mo\u017Enosti zumiranja, vendar pa lahko namesto tega kliknete izraz ob dr\u017Eanju tipke Alt, s \u010Dimer se prika\u017Ee meni MathJax.",IE9warning:"Kontekstni meni MathJax bo izklopljen, namesto tega pa lahko s klikom izraza ob dr\u017Eanju tipke Alt prikli\u010Dete meni MathJax.",NoOriginalForm:"Na razpolago ni nobena izvorna oblika",Close:"Zapri",EqSource:"Vir ena\u010Dbe MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathMenu.js");
+MathJax.Localization.addTranslation("sl","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Prika\u017Ei matematiko kot",MathMLcode:"Koda MathML",OriginalMathML:"Izvorni MathML",TeXCommands:"Ukazi TeX",AsciiMathInput:"Vnos AsciiMathML",Original:"Izvirna oblika",ErrorMessage:"Sporo\u010Dilo o napaki",Annotation:"Pripis",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML vsebine",OpenMath:"OpenMath",texHints:"V MathML prika\u017Ei namige TeX",Settings:"Nastavitve matematike",ZoomTrigger:"Pro\u017Eilec zumiranja",Hover:"Lebdenje",Click:"Kliknite",DoubleClick:"Dvokliknite",NoZoom:"Brez pove\u010Dave",TriggerRequires:"Pro\u017Eilec potrebuje:",Option:"Mo\u017Enost",Alt:"Alt",Command:"Ukaz",Control:"Kontrolnik",Shift:"Preklop",ZoomFactor:"Faktor zumiranja",Renderer:"Matemati\u010Dni izrisovalnik",MPHandles:"MathPlayer naj upravlja z:",MenuEvents:"Dogodki menija",MouseEvents:"Dogodki mi\u0161ke",MenuAndMouse:"Dogodki mi\u0161ke in menija",FontPrefs:"Nastavitve pisav",ForHTMLCSS:"Za HTML-CSS:",Auto:"Samodejno",TeXLocal:"TeX (lokalno)",TeXWeb:"TeX (splet)",TeXImage:"TeX (slika)",STIXLocal:"STIX (lokalno)",STIXWeb:"STIX (splet)",AsanaMathWeb:"Asana Math (splet)",GyrePagellaWeb:"Gyre Pagella (splet)",GyreTermesWeb:"Gyre Termes (splet)",LatinModernWeb:"Latin Modern (splet)",NeoEulerWeb:"Neo Euler (splet)",ContextMenu:"Kontekstni meni",Browser:"Brskalnik",Scale:"Umeri vso matematiko ...",Discoverable:"Ob lebdenju ozna\u010Di",Locale:"Jezik",LoadLocale:"Nalo\u017Ei iz spletnega naslova ...",About:"O MathJax",Help:"Pomo\u010D za MathJax",localTeXfonts:"z uporabo lokalnih pisav TeX",webTeXfonts:"z uporabo spletne pisave TeX",imagefonts:"z uporabo slikovnih pisav",localSTIXfonts:"z uporabo lokalnih pisav STIX",webSVGfonts:"z uporabo spletnih pisav SVG",genericfonts:"z uporabo generi\u010Dnih unikodnih pisav",wofforotffonts:"pisave woff ali otf",eotffonts:"pisave eot",svgfonts:"pisave svg",WebkitNativeMMLWarning:"Va\u0161 brskalnik ne podpira MathML sam po sebi, zato ob preklopu na MathML matematika morda ne bo berljiva.",MSIENativeMMLWarning:"Internet Explorer potrebuje za obdelavo izhoda MathML vti\u010Dnik MathPlayer.",OperaNativeMMLWarning:"Podpora Opere za MathML je omejena, zato se bodo ob preklopu na MathML nekateri izrazi morda slabo izrisali.",SafariNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno prikazali.",FirefoxNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno izrisali.",MSIESVGWarning:"V Internet Explorerju pred IE9 in pri emulaciji IE8 ali manj SVG ni podprt. Ob preklopu na SVG se matematika ne bo prikazala pravilno.",LoadURL:"Nalo\u017Ei podatke za prevajanje z naslednjega spletnega naslova:",BadURL:"Spletni naslov mora biti za javaskriptno datoteko, ki opredeljuje podatke MathJax o prevajanju. Imena javaskriptnih datotek se morajo kon\u010Dati z '.js'",BadData:"Nalaganje podatkov za prevajanje iz %1 ni uspelo",SwitchAnyway:"Vseeno zamenjam izrisovalnik?",ScaleMath:"Umeri vso matematiko (v primerjavi z okoli\u0161nim besedilom) z",NonZeroScale:"Merilo ne sme biti ni\u010D",PercentScale:"Merilo naj bo odstotek (npr. 120%%)",IE8warning:"To onemogo\u010Di meni MathJax in mo\u017Enosti zumiranja, vendar pa lahko namesto tega kliknete izraz ob dr\u017Eanju tipke Alt, s \u010Dimer se prika\u017Ee meni MathJax.",IE9warning:"Kontekstni meni MathJax bo izklopljen, namesto tega pa lahko s klikom izraza ob dr\u017Eanju tipke Alt prikli\u010Dete meni MathJax.",NoOriginalForm:"Na razpolago ni nobena izvorna oblika",Close:"Zapri",EqSource:"Vir ena\u010Dbe MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathMenu.js");
diff --git a/localization/sl/TeX.js b/localization/sl/TeX.js
index acb087a39..9ed4ab1c5 100644
--- a/localization/sl/TeX.js
+++ b/localization/sl/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"Dodaten uklepaj ali manjkajo\u010D zaklepaj",ExtraCloseMissingOpen:"Dodaten zaklepaj ali manjkajo\u010D uklepaj",MissingLeftExtraRight:"Manjka \\left ali dodatni \\right",MissingScript:"Manjka nadpisani ali podpisani argument",ExtraLeftMissingRight:"Dodaten \\left ali manjkajo\u010D \\right",Misplaced:"Narobe postavljen %1",MissingOpenForSub:"Manjka uklepaj za nadpisano",MissingOpenForSup:"Manjka uklepaj za nadpisano",AmbiguousUseOf:"Dvoumna uporaba %1",EnvBadEnd:"\\begin{%1} se je kon\u010Dal z \\end{%2}",EnvMissingEnd:"Manjka \\end{%1}",MissingBoxFor:"Manjka polje za %1",MissingCloseBrace:"Manjka zaklepaj",UndefinedControlSequence:"Nedefinirano kontrolno zaporedje %1",DoubleExponent:"Dvojni eksponent: pojasnite z oklepaji",DoubleSubscripts:"Dvojno podpisano: za pojasnitev uporabite oklepaje",DoubleExponentPrime:"Pra\u0161tevilo povzro\u010Da dvojni eksponent: pojasnite z oklepaji",CantUseHash1:"Znak # je makroparameter in ga v matemati\u010Dnem na\u010Dinu ne morete uporabljati",MisplacedMiddle:"%1 mora biti znotraj \\left in \\right",MisplacedLimits:"%1 je dovoljen samo pri operatorjih",MisplacedMoveRoot:"%1 se lahko pojavi samo v korenu",MultipleCommand:"Ve\u010Dkratni %1",IntegerArg:"Argument za %1 mora biti celo \u0161tevilo",NotMathMLToken:"%1 ni \u017Eetonski element",InvalidMathMLAttr:"Neveljaven atribut MathML: %1",UnknownAttrForElement:"%1 ni prepoznani atribut za %2",MaxMacroSub1:"Prese\u017Eeno najve\u010Dje \u0161tevilo makrosubstitucij MathJax; ali obstaja rekurzivni makroklic?",MaxMacroSub2:"Prese\u017Eeno najve\u010Dje \u0161tevilo substitucij MathJax; ali obstaja rekurzivno okolje latex?",MissingArgFor:"Manjka argument za %1",ExtraAlignTab:"Dodatni zavihek za poravnavo v tekstu \\cases",BracketMustBeDimension:"Argument v oklepaju za %1 mora biti velikost",InvalidEnv:"Neveljavno ime okolja '%1'",UnknownEnv:"Neznano okolje '%1'",ExtraCloseLooking:"Dodatni zaklepaj pri iskanju %1",MissingCloseBracket:"Za argument za %1 ni mogo\u010De najti zaklepaja ']'",MissingOrUnrecognizedDelim:"Manjkajo\u010De ali neprepoznano lo\u010Dilo za %1",MissingDimOrUnits:"Manjka velikost ali enote pri %1",TokenNotFoundForCommand:"%1 za %2 ni bilo mogo\u010De najti",MathNotTerminated:"Matematika v tekstovnem polju ni prekinjena",IllegalMacroParam:"Nedovoljen makroparameter",MaxBufferSize:"Prese\u017Eena velikost notranjega medpomnilnika MathJax; ali obstaja rekurzivni makroklic?",CommandNotAllowedInEnv:"%1 v okolju %2 ni dovoljen",MultipleLabel:"Ve\u010Dkratno definirana oznaka '%1'",CommandAtTheBeginingOfLine:"%1 mora priti na za\u010Detek vrstice",IllegalAlign:"V %1 je dolo\u010Dena nedovoljena poravnava.",BadMathStyleFor:"Neveljaven matemati\u010Dni slog argumenta %1",PositiveIntegerArg:"Argument za %1 mora biti pozitivno celo \u0161tevilo",ErroneousNestingEq:"Napa\u010Dno gnezdenje struktur ena\u010Dbe",MultlineRowsOneCol:"Vrstice v okolju %1 morajo imeti natan\u010Dno en stolpec",MultipleBBoxProperty:"%1 je v %2 dolo\u010Den dvakrat",InvalidBBoxProperty:"'%1' ne izgleda kot barva, velikost odmika ali slog",ExtraEndMissingBegin:"Dodatni %1 ali manjkajo\u010D \\begingroup",GlobalNotFollowedBy:"%1 ne sledijo \\let, \\def ali \\newcommand",UndefinedColorModel:"Nedefiniran barvni model '%1'",ModelArg1:"Barvne vrednosti modela %1 zahtevajo tri \u0161tevilke",InvalidDecimalNumber:"Neveljavna decimalna \u0161tevilka",ModelArg2:"Barvne vrednosti za model %1 morajo biti med %2 in %3",InvalidNumber:"Neveljavna \u0161tevilka",NewextarrowArg1:"Prvi argument za %1 mora biti ime kontrolnega zaporedja",NewextarrowArg2:"Drugi argument za %1 morata biti dve celi \u0161tevili, lo\u010Deni z vejico",NewextarrowArg3:"Tretji argument za %1 mora biti \u0161tevilka unikodnega znaka",NoClosingChar:"Ni mogo\u010De najti zapiralnega %1",IllegalControlSequenceName:"Nedovoljeno ime kontrolnega zaporedja za %1",IllegalParamNumber:"Neveljavno \u0161tevilo parametrov v %1",MissingCS:"%1 mora slediti kontrolno zaporedje",CantUseHash2:"Nedovoljena uporaba znaka # v predlogi za %1",SequentialParam:"Parametri za %1 morajo biti o\u0161tevil\u010Deni zaporedno",MissingReplacementString:"Manjka nadomestni niz za definicijo %1",MismatchUseDef:"Uporaba %1 se ne ujema z njegovo definicijo",RunawayArgument:"Ube\u017Eni argument za %1?",NoClosingDelim:"Ni mogo\u010De najti zaklju\u010Dnega lo\u010Dila za %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/TeX.js");
+MathJax.Localization.addTranslation("sl","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Dodaten uklepaj ali manjkajo\u010D zaklepaj",ExtraCloseMissingOpen:"Dodaten zaklepaj ali manjkajo\u010D uklepaj",MissingLeftExtraRight:"Manjka \\left ali dodatni \\right",MissingScript:"Manjka nadpisani ali podpisani argument",ExtraLeftMissingRight:"Dodaten \\left ali manjkajo\u010D \\right",Misplaced:"Narobe postavljen %1",MissingOpenForSub:"Manjka uklepaj za nadpisano",MissingOpenForSup:"Manjka uklepaj za nadpisano",AmbiguousUseOf:"Dvoumna uporaba %1",EnvBadEnd:"\\begin{%1} se je kon\u010Dal z \\end{%2}",EnvMissingEnd:"Manjka \\end{%1}",MissingBoxFor:"Manjka polje za %1",MissingCloseBrace:"Manjka zaklepaj",UndefinedControlSequence:"Nedefinirano kontrolno zaporedje %1",DoubleExponent:"Dvojni eksponent: pojasnite z oklepaji",DoubleSubscripts:"Dvojno podpisano: za pojasnitev uporabite oklepaje",DoubleExponentPrime:"Pra\u0161tevilo povzro\u010Da dvojni eksponent: pojasnite z oklepaji",CantUseHash1:"Znak # je makroparameter in ga v matemati\u010Dnem na\u010Dinu ne morete uporabljati",MisplacedMiddle:"%1 mora biti znotraj \\left in \\right",MisplacedLimits:"%1 je dovoljen samo pri operatorjih",MisplacedMoveRoot:"%1 se lahko pojavi samo v korenu",MultipleCommand:"Ve\u010Dkratni %1",IntegerArg:"Argument za %1 mora biti celo \u0161tevilo",NotMathMLToken:"%1 ni \u017Eetonski element",InvalidMathMLAttr:"Neveljaven atribut MathML: %1",UnknownAttrForElement:"%1 ni prepoznani atribut za %2",MaxMacroSub1:"Prese\u017Eeno najve\u010Dje \u0161tevilo makrosubstitucij MathJax; ali obstaja rekurzivni makroklic?",MaxMacroSub2:"Prese\u017Eeno najve\u010Dje \u0161tevilo substitucij MathJax; ali obstaja rekurzivno okolje latex?",MissingArgFor:"Manjka argument za %1",ExtraAlignTab:"Dodatni zavihek za poravnavo v tekstu \\cases",BracketMustBeDimension:"Argument v oklepaju za %1 mora biti velikost",InvalidEnv:"Neveljavno ime okolja '%1'",UnknownEnv:"Neznano okolje '%1'",ExtraCloseLooking:"Dodatni zaklepaj pri iskanju %1",MissingCloseBracket:"Za argument za %1 ni mogo\u010De najti zaklepaja ']'",MissingOrUnrecognizedDelim:"Manjkajo\u010De ali neprepoznano lo\u010Dilo za %1",MissingDimOrUnits:"Manjka velikost ali enote pri %1",TokenNotFoundForCommand:"%1 za %2 ni bilo mogo\u010De najti",MathNotTerminated:"Matematika v tekstovnem polju ni prekinjena",IllegalMacroParam:"Nedovoljen makroparameter",MaxBufferSize:"Prese\u017Eena velikost notranjega medpomnilnika MathJax; ali obstaja rekurzivni makroklic?",CommandNotAllowedInEnv:"%1 v okolju %2 ni dovoljen",MultipleLabel:"Ve\u010Dkratno definirana oznaka '%1'",CommandAtTheBeginingOfLine:"%1 mora priti na za\u010Detek vrstice",IllegalAlign:"V %1 je dolo\u010Dena nedovoljena poravnava.",BadMathStyleFor:"Neveljaven matemati\u010Dni slog argumenta %1",PositiveIntegerArg:"Argument za %1 mora biti pozitivno celo \u0161tevilo",ErroneousNestingEq:"Napa\u010Dno gnezdenje struktur ena\u010Dbe",MultlineRowsOneCol:"Vrstice v okolju %1 morajo imeti natan\u010Dno en stolpec",MultipleBBoxProperty:"%1 je v %2 dolo\u010Den dvakrat",InvalidBBoxProperty:"'%1' ne izgleda kot barva, velikost odmika ali slog",ExtraEndMissingBegin:"Dodatni %1 ali manjkajo\u010D \\begingroup",GlobalNotFollowedBy:"%1 ne sledijo \\let, \\def ali \\newcommand",UndefinedColorModel:"Nedefiniran barvni model '%1'",ModelArg1:"Barvne vrednosti modela %1 zahtevajo tri \u0161tevilke",InvalidDecimalNumber:"Neveljavna decimalna \u0161tevilka",ModelArg2:"Barvne vrednosti za model %1 morajo biti med %2 in %3",InvalidNumber:"Neveljavna \u0161tevilka",NewextarrowArg1:"Prvi argument za %1 mora biti ime kontrolnega zaporedja",NewextarrowArg2:"Drugi argument za %1 morata biti dve celi \u0161tevili, lo\u010Deni z vejico",NewextarrowArg3:"Tretji argument za %1 mora biti \u0161tevilka unikodnega znaka",NoClosingChar:"Ni mogo\u010De najti zapiralnega %1",IllegalControlSequenceName:"Nedovoljeno ime kontrolnega zaporedja za %1",IllegalParamNumber:"Neveljavno \u0161tevilo parametrov v %1",MissingCS:"%1 mora slediti kontrolno zaporedje",CantUseHash2:"Nedovoljena uporaba znaka # v predlogi za %1",SequentialParam:"Parametri za %1 morajo biti o\u0161tevil\u010Deni zaporedno",MissingReplacementString:"Manjka nadomestni niz za definicijo %1",MismatchUseDef:"Uporaba %1 se ne ujema z njegovo definicijo",RunawayArgument:"Ube\u017Eni argument za %1?",NoClosingDelim:"Ni mogo\u010De najti zaklju\u010Dnega lo\u010Dila za %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/TeX.js");
diff --git a/localization/sl/sl.js b/localization/sl/sl.js
index 814db7f0b..e0ce4728c 100644
--- a/localization/sl/sl.js
+++ b/localization/sl/sl.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl",null,{menuTitle:"sloven\u0161\u010Dina",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)",MathProcessingError:"Napaka pri obdelavi matematike",MathError:"Napaka v matemati\u010Dni formuli",LoadFile:"Nalagam %1",Loading:"Nalagam",LoadFailed:"Datoteka se ni nalo\u017Eila: %1",ProcessMath:"Obdelava matematike: %1%%",Processing:"Obdelujem",TypesetMath:"Stavljenje matematike: %1%%",Typesetting:"Stavljenje",MathJaxNotSupported:"Va\u0161 brskalnik ne podpira MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%100===1){return 1}if(a%100===2){return 2}if(3<=a%100&&a%100<=4){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/sl.js");
+MathJax.Localization.addTranslation("sl",null,{menuTitle:"sloven\u0161\u010Dina",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)",MathProcessingError:"Napaka pri obdelavi matematike",MathError:"Napaka v matemati\u010Dni formuli",LoadFile:"Nalagam %1",Loading:"Nalagam",LoadFailed:"Datoteka se ni nalo\u017Eila: %1",ProcessMath:"Obdelava matematike: %1%%",Processing:"Obdelujem",TypesetMath:"Stavljenje matematike: %1%%",Typesetting:"Stavljenje",MathJaxNotSupported:"Va\u0161 brskalnik ne podpira MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%100===1){return 1}if(a%100===2){return 2}if(3<=a%100&&a%100<=4){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/sl.js");
diff --git a/localization/sv/FontWarnings.js b/localization/sv/FontWarnings.js
index c6be852db..ea56f82c5 100644
--- a/localization/sv/FontWarnings.js
+++ b/localization/sv/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/FontWarnings.js");
+MathJax.Localization.addTranslation("sv","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/FontWarnings.js");
diff --git a/localization/sv/HTML-CSS.js b/localization/sv/HTML-CSS.js
index 3835a500d..8d13f52bc 100644
--- a/localization/sv/HTML-CSS.js
+++ b/localization/sv/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","HTML-CSS",{version:"2.3",isLoaded:true,strings:{FirefoxCantLoadWebFont:"Firefox kan inte l\u00E4sa in webbteckensnitt fr\u00E5n en fj\u00E4rrstyrd v\u00E4rd",CantFindFontUsing:"Kan inte hitta ett giltigt teckensnitt med %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HTML-CSS.js");
+MathJax.Localization.addTranslation("sv","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"L\u00E4ser in webbtypsnittet %1",CantLoadWebFont:"Kan inte l\u00E4sa in webbtypsnittet %1",FirefoxCantLoadWebFont:"Firefox kan inte l\u00E4sa in webbteckensnitt fr\u00E5n en fj\u00E4rrstyrd v\u00E4rd",CantFindFontUsing:"Kan inte hitta ett giltigt teckensnitt med %1",WebFontsNotAvailable:"Webbtypsnitt \u00E4r inte tillg\u00E4ngliga. Anv\u00E4nder bildtypsnitt ist\u00E4llet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HTML-CSS.js");
diff --git a/localization/sv/HelpDialog.js b/localization/sv/HelpDialog.js
index f00dfe529..87267d226 100644
--- a/localization/sv/HelpDialog.js
+++ b/localization/sv/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HelpDialog.js");
+MathJax.Localization.addTranslation("sv","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HelpDialog.js");
diff --git a/localization/sv/MathML.js b/localization/sv/MathML.js
index e863dc114..44bd728d5 100644
--- a/localization/sv/MathML.js
+++ b/localization/sv/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathML.js");
+MathJax.Localization.addTranslation("sv","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathML.js");
diff --git a/localization/sv/MathMenu.js b/localization/sv/MathMenu.js
index a19809f1d..97beca649 100644
--- a/localization/sv/MathMenu.js
+++ b/localization/sv/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","MathMenu",{version:"2.3",isLoaded:true,strings:{MathMLcode:"MathML-kod",OriginalMathML:"Ursprunglig MathML",TeXCommands:"TeX-kommandon",AsciiMathInput:"AsciiMathML-inmatning",Original:"Ursprungligt format",ErrorMessage:"Felmeddelande",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Click:"Klick",DoubleClick:"Dubbelklick",NoZoom:"Ingen zoom",Option:"Alternativ",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (webb)",TeXImage:"TeX (bild)",STIXLocal:"STIX (lokal)",Locale:"Spr\u00E5k",LoadLocale:"L\u00E4s in fr\u00E5n URL ...",About:"Om MathJax",Help:"Hj\u00E4lp f\u00F6r MathJax",eotffonts:"eot-teckensnitt",svgfonts:"svg-teckensnitt",Close:"St\u00E4ng"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathMenu.js");
+MathJax.Localization.addTranslation("sv","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{MathMLcode:"MathML-kod",OriginalMathML:"Ursprunglig MathML",TeXCommands:"TeX-kommandon",AsciiMathInput:"AsciiMathML-inmatning",Original:"Ursprungligt format",ErrorMessage:"Felmeddelande",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Click:"Klick",DoubleClick:"Dubbelklick",NoZoom:"Ingen zoom",Option:"Alternativ",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",MenuEvents:"Menyh\u00E4ndelser",MouseEvents:"Mush\u00E4ndelser",MenuAndMouse:"Mus- och menyh\u00E4ndelser",FontPrefs:"Teckensnittsinst\u00E4llningar",ForHTMLCSS:"F\u00F6r HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (webb)",TeXImage:"TeX (bild)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (webb)",AsanaMathWeb:"Asana Math (webb)",GyrePagellaWeb:"Gyre Pagella (webb)",GyreTermesWeb:"Gyre Termes (webb)",LatinModernWeb:"Latin Modern (webb)",NeoEulerWeb:"Neo Euler (webb)",Browser:"Webbl\u00E4sare",Discoverable:"Markera vid hovring",Locale:"Spr\u00E5k",LoadLocale:"L\u00E4s in fr\u00E5n URL ...",About:"Om MathJax",Help:"Hj\u00E4lp f\u00F6r MathJax",eotffonts:"eot-teckensnitt",svgfonts:"svg-teckensnitt",MSIENativeMMLWarning:"Internet Explorer kr\u00E4ver insticksmodulen MathPlayer f\u00F6r att kunna bearbeta utmatning f\u00F6r MathML.",NonZeroScale:"Skalan b\u00F6r inte vara noll",PercentScale:"Skalan b\u00F6r vara en procentsats (t.ex. 120%%)",Close:"St\u00E4ng"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathMenu.js");
diff --git a/localization/sv/TeX.js b/localization/sv/TeX.js
index ac5ad40de..22731a797 100644
--- a/localization/sv/TeX.js
+++ b/localization/sv/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","TeX",{version:"2.3",isLoaded:true,strings:{MissingLeftExtraRight:"Saknar \\left eller en extra \\right",ExtraLeftMissingRight:"Extra \\left eller en \\right saknas",Misplaced:"Felplacerad %1",AmbiguousUseOf:"Tvetydig anv\u00E4ndning av %1",EnvBadEnd:"\\begin{%1} slutade med \\end{%2}",EnvMissingEnd:"Saknar \\end{%1}",MissingBoxFor:"Saknad l\u00E5da f\u00F6r %1",MissingCloseBrace:"H\u00F6gerparentes saknas",UndefinedControlSequence:"Odefinierad kontrollsekvens %1",DoubleExponent:"Dubbel exponent: anv\u00E4nd parenteser f\u00F6r att klarg\u00F6ra",MultipleCommand:"Flera %1",IntegerArg:"Argumentet till %1 m\u00E5ste vara ett heltal",NotMathMLToken:"%1 \u00E4r inte ett nyckelelement",InvalidMathMLAttr:"Ogiltig MathML-attribut: %1",UnknownAttrForElement:"%1 \u00E4r inte en igenk\u00E4nd attribut f\u00F6r %2",MissingArgFor:"Argument saknas f\u00F6r %1",UnknownEnv:"Ok\u00E4nd milj\u00F6 '%1'",MissingCloseBracket:"Kunde inte hitta avslutande ']' f\u00F6r argumentet till %1",TokenNotFoundForCommand:"Kunde inte hitta %1 f\u00F6r %2",CommandNotAllowedInEnv:"%1 till\u00E5ts inte i milj\u00F6n %2",MultipleLabel:"Etiketten '%1' definierades flera g\u00E5nger",IllegalAlign:"Ogiltig justering anges i %1",MultipleBBoxProperty:"%1 anges tv\u00E5 g\u00E5nger i %2",ExtraEndMissingBegin:"Extra %1 eller en \\begingroup saknas",InvalidDecimalNumber:"Ogiltig decimaltal",InvalidNumber:"Ogiltigt nummer",NoClosingChar:"Kan inte hitta avslutande %1",IllegalControlSequenceName:"Ogiltigt kontrollsekvensnamn f\u00F6r %1",IllegalParamNumber:"Ogiltigt antal parenteser anges i %1",ExtraOpenMissingClose:"Extra v\u00E4nsterparentes eller h\u00F6gerparentes saknas",ExtraCloseMissingOpen:"Extra h\u00F6gerparentes eller v\u00E4nsterparentes saknas",ExtraCloseLooking:"Extra h\u00F6gerparentes n\u00E4r %1 s\u00F6ktes"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/TeX.js");
+MathJax.Localization.addTranslation("sv","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra v\u00E4nsterparentes eller h\u00F6gerparentes saknas",ExtraCloseMissingOpen:"Extra h\u00F6gerparentes eller v\u00E4nsterparentes saknas",MissingLeftExtraRight:"Saknar \\left eller en extra \\right",ExtraLeftMissingRight:"Extra \\left eller en \\right saknas",Misplaced:"Felplacerad %1",MissingOpenForSub:"Saknar v\u00E4nsterparentes f\u00F6r underskript",MissingOpenForSup:"Saknar v\u00E4nsterparentes f\u00F6r superskript",AmbiguousUseOf:"Tvetydig anv\u00E4ndning av %1",EnvBadEnd:"\\begin{%1} slutade med \\end{%2}",EnvMissingEnd:"Saknar \\end{%1}",MissingBoxFor:"Saknad l\u00E5da f\u00F6r %1",MissingCloseBrace:"H\u00F6gerparentes saknas",UndefinedControlSequence:"Odefinierad kontrollsekvens %1",DoubleExponent:"Dubbel exponent: anv\u00E4nd parenteser f\u00F6r att klarg\u00F6ra",DoubleSubscripts:"Dubbla underskript: anv\u00E4nd parenteser f\u00F6r att klarg\u00F6ra",MisplacedMiddle:"%1 m\u00E5ste vara inom \\left och \\right",MisplacedLimits:"%1 till\u00E5ts endast p\u00E5 operat\u00F6rer",MisplacedMoveRoot:"%1 kan endast visas inom en rot",MultipleCommand:"Flera %1",IntegerArg:"Argumentet till %1 m\u00E5ste vara ett heltal",NotMathMLToken:"%1 \u00E4r inte ett nyckelelement",InvalidMathMLAttr:"Ogiltig MathML-attribut: %1",UnknownAttrForElement:"%1 \u00E4r inte en igenk\u00E4nd attribut f\u00F6r %2",MissingArgFor:"Argument saknas f\u00F6r %1",InvalidEnv:"Ogiltigt milj\u00F6namn '%1'",UnknownEnv:"Ok\u00E4nd milj\u00F6 '%1'",ExtraCloseLooking:"Extra h\u00F6gerparentes n\u00E4r %1 s\u00F6ktes",MissingCloseBracket:"Kunde inte hitta avslutande ']' f\u00F6r argumentet till %1",TokenNotFoundForCommand:"Kunde inte hitta %1 f\u00F6r %2",CommandNotAllowedInEnv:"%1 till\u00E5ts inte i milj\u00F6n %2",MultipleLabel:"Etiketten '%1' definierades flera g\u00E5nger",CommandAtTheBeginingOfLine:"%1 m\u00E5ste vara i b\u00F6rjan p\u00E5 raden",IllegalAlign:"Ogiltig justering anges i %1",MultipleBBoxProperty:"%1 anges tv\u00E5 g\u00E5nger i %2",ExtraEndMissingBegin:"Extra %1 eller en \\begingroup saknas",GlobalNotFollowedBy:"%1 f\u00F6ljs inte \u00E5t av \\let, \\def eller \\newcommand",UndefinedColorModel:"F\u00E4rgmodellen '%1' \u00E4r inte definierad",InvalidDecimalNumber:"Ogiltig decimaltal",InvalidNumber:"Ogiltigt nummer",NoClosingChar:"Kan inte hitta avslutande %1",IllegalControlSequenceName:"Ogiltigt kontrollsekvensnamn f\u00F6r %1",IllegalParamNumber:"Ogiltigt antal parenteser anges i %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/TeX.js");
diff --git a/localization/sv/sv.js b/localization/sv/sv.js
index 7341678b6..a23369a43 100644
--- a/localization/sv/sv.js
+++ b/localization/sv/sv.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv",null,{menuTitle:"svenska",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax har hittat en anv\u00E4ndarkonfigurationscookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)",MathProcessingError:"Matematikbearbetningsfel",MathError:"Matematikfel",LoadFile:"L\u00E4ser in %1",Loading:"L\u00E4ser in",LoadFailed:"Misslyckades att l\u00E4sa in: %1",ProcessMath:"Bearbetar matematik: %1 %%",Processing:"Bearbetar",MathJaxNotSupported:"Din webbl\u00E4sare st\u00F6der inte MathJax",Typesetting:"S\u00E4ttning"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/sv.js");
+MathJax.Localization.addTranslation("sv",null,{menuTitle:"svenska",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax har hittat en anv\u00E4ndarkonfigurations-cookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)",MathProcessingError:"Matematikbearbetningsfel",MathError:"Matematikfel",LoadFile:"L\u00E4ser in %1",Loading:"L\u00E4ser in",LoadFailed:"Misslyckades med att l\u00E4sa in: %1",ProcessMath:"Bearbetar matematik: %1 %%",Processing:"Bearbetar",TypesetMath:"Typs\u00E4tter matematik: %1%%",Typesetting:"Typs\u00E4ttning",MathJaxNotSupported:"Din webbl\u00E4sare st\u00F6der inte MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/sv.js");
diff --git a/localization/tr/FontWarnings.js b/localization/tr/FontWarnings.js
index b21cd10da..d788848bd 100644
--- a/localization/tr/FontWarnings.js
+++ b/localization/tr/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","FontWarnings",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/FontWarnings.js");
+MathJax.Localization.addTranslation("tr","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/FontWarnings.js");
diff --git a/localization/tr/HTML-CSS.js b/localization/tr/HTML-CSS.js
index a0f154471..20ceb5566 100644
--- a/localization/tr/HTML-CSS.js
+++ b/localization/tr/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","HTML-CSS",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HTML-CSS.js");
+MathJax.Localization.addTranslation("tr","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HTML-CSS.js");
diff --git a/localization/tr/HelpDialog.js b/localization/tr/HelpDialog.js
index b7c7c5abc..a7ccf48b5 100644
--- a/localization/tr/HelpDialog.js
+++ b/localization/tr/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","HelpDialog",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HelpDialog.js");
+MathJax.Localization.addTranslation("tr","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HelpDialog.js");
diff --git a/localization/tr/MathML.js b/localization/tr/MathML.js
index e152d33ae..fb5b3b725 100644
--- a/localization/tr/MathML.js
+++ b/localization/tr/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","MathML",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathML.js");
+MathJax.Localization.addTranslation("tr","MathML",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathML.js");
diff --git a/localization/tr/MathMenu.js b/localization/tr/MathMenu.js
index cc10092ad..46500e632 100644
--- a/localization/tr/MathMenu.js
+++ b/localization/tr/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","MathMenu",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathMenu.js");
+MathJax.Localization.addTranslation("tr","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathMenu.js");
diff --git a/localization/tr/TeX.js b/localization/tr/TeX.js
index 4f61239ca..4af8abbf7 100644
--- a/localization/tr/TeX.js
+++ b/localization/tr/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","TeX",{version:"2.3",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/TeX.js");
+MathJax.Localization.addTranslation("tr","TeX",{version:"2.4-beta",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/TeX.js");
diff --git a/localization/tr/tr.js b/localization/tr/tr.js
index 29007a577..99f02fb9a 100644
--- a/localization/tr/tr.js
+++ b/localization/tr/tr.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr",null,{menuTitle:"T\u00FCrk\u00E7e",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{MathProcessingError:"Matematik i\u015Fleme hatas\u0131",MathError:"Matematik hatas\u0131",LoadFile:"%1 Y\u00FCkleniyor",Loading:"Y\u00FCkleniyor",LoadFailed:"Dosya y\u00FCklenemedi: %1",ProcessMath:"Matematik i\u015Fleme: %%%1",MathJaxNotSupported:"Taray\u0131c\u0131n\u0131z MathJax'i desteklemiyor"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/tr.js");
+MathJax.Localization.addTranslation("tr",null,{menuTitle:"T\u00FCrk\u00E7e",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{MathProcessingError:"Matematik i\u015Fleme hatas\u0131",MathError:"Matematik hatas\u0131",LoadFile:"%1 Y\u00FCkleniyor",Loading:"Y\u00FCkleniyor",LoadFailed:"Dosya y\u00FCklenemedi: %1",ProcessMath:"Matematik i\u015Fleme: %%%1",MathJaxNotSupported:"Taray\u0131c\u0131n\u0131z MathJax'i desteklemiyor"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/tr.js");
diff --git a/localization/uk/FontWarnings.js b/localization/uk/FontWarnings.js
index 94066726e..f52af832b 100644
--- a/localization/uk/FontWarnings.js
+++ b/localization/uk/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.  \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.",imageFonts:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u043B\u0430\u0441\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C, \u0430 \u043D\u0435 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0430\u0431\u043E \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0426\u0435 \u0431\u0443\u0434\u0435 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u043F\u043E\u0432\u0456\u043B\u044C\u043D\u0456\u0448\u0435, \u043D\u0456\u0436 \u0437\u0432\u0438\u0447\u0430\u0439\u043D\u043E, \u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043D\u0430\u0434\u0440\u0443\u043A\u0443\u0432\u0430\u0442\u0438 \u043D\u0430 \u043F\u0440\u0438\u043D\u0442\u0435\u0440\u0456 \u0437 \u0432\u0438\u0441\u043E\u043A\u043E\u044E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044E.",noFonts:"MathJax \u043D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0448\u0440\u0438\u0444\u0442, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456, \u0442\u043E\u043C\u0443 \u043D\u0430\u043C \u0434\u043E\u0432\u0435\u043B\u043E\u0441\u044F \u043F\u043E\u0432\u0435\u0440\u043D\u0443\u0442\u0438\u0441\u044F \u043D\u0430 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 Unicode \u0443 \u043D\u0430\u0434\u0456\u0457, \u0449\u043E \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0437\u043C\u043E\u0436\u0435 \u0457\u0445 \u0432\u0456\u0440\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u0438. \u0414\u0435\u044F\u043A\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0456 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0456 \u043F\u043E\u0432\u043D\u0456\u0441\u0442\u044E \u043D\u0435 \u0432 \u0437\u043C\u043E\u0437\u0456 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u0441\u044F.",webFonts:"\u0411\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432 \u0432 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u0438, \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0443\u0432\u0430\u043D\u0456 \u0437 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443. \u041E\u043D\u043E\u0432\u0456\u0442\u044C \u0441\u0432\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0434\u043E \u043E\u0441\u0442\u0430\u043D\u043D\u044C\u043E\u0457 \u0432\u0435\u0440\u0441\u0456\u0457 (\u0430\u0431\u043E \u043F\u0440\u043E\u0441\u0442\u043E \u0437\u0430\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447) \u0434\u043B\u044F \u0442\u043E\u0433\u043E, \u0449\u043E\u0431 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u044F\u043A\u0456\u0441\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u044F\u043A\u0456 \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u044E\u0442\u044C\u0441\u044F \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0437  [STIX \u0448\u0440\u0438\u0444\u0442\u0456\u0432](%1)  \u0430\u0431\u043E [\u0448\u0440\u0438\u0444\u0442\u0456\u0432 MathJax-TeX](%2). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0456 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u043E\u0434\u0438\u043D \u0437 \u0446\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u0456\u0432, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 MathJax \u0440\u043E\u0431\u043E\u0442\u0443.",STIXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [STIX \u0448\u0440\u0438\u0444\u0442\u0438](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 MathJax.",TeXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [\u0448\u0440\u0438\u0444\u0442\u0438 MathJax TeX](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 \u0437 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/FontWarnings.js");
+MathJax.Localization.addTranslation("uk","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.  \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.",imageFonts:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u043B\u0430\u0441\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C, \u0430 \u043D\u0435 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0430\u0431\u043E \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0426\u0435 \u0431\u0443\u0434\u0435 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u043F\u043E\u0432\u0456\u043B\u044C\u043D\u0456\u0448\u0435, \u043D\u0456\u0436 \u0437\u0432\u0438\u0447\u0430\u0439\u043D\u043E, \u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043D\u0430\u0434\u0440\u0443\u043A\u0443\u0432\u0430\u0442\u0438 \u043D\u0430 \u043F\u0440\u0438\u043D\u0442\u0435\u0440\u0456 \u0437 \u0432\u0438\u0441\u043E\u043A\u043E\u044E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044E.",noFonts:"MathJax \u043D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0448\u0440\u0438\u0444\u0442, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456, \u0442\u043E\u043C\u0443 \u043D\u0430\u043C \u0434\u043E\u0432\u0435\u043B\u043E\u0441\u044F \u043F\u043E\u0432\u0435\u0440\u043D\u0443\u0442\u0438\u0441\u044F \u043D\u0430 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 Unicode \u0443 \u043D\u0430\u0434\u0456\u0457, \u0449\u043E \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0437\u043C\u043E\u0436\u0435 \u0457\u0445 \u0432\u0456\u0440\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u0438. \u0414\u0435\u044F\u043A\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0456 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0456 \u043F\u043E\u0432\u043D\u0456\u0441\u0442\u044E \u043D\u0435 \u0432 \u0437\u043C\u043E\u0437\u0456 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u0441\u044F.",webFonts:"\u0411\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432 \u0432 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u0438, \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0443\u0432\u0430\u043D\u0456 \u0437 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443. \u041E\u043D\u043E\u0432\u0456\u0442\u044C \u0441\u0432\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0434\u043E \u043E\u0441\u0442\u0430\u043D\u043D\u044C\u043E\u0457 \u0432\u0435\u0440\u0441\u0456\u0457 (\u0430\u0431\u043E \u043F\u0440\u043E\u0441\u0442\u043E \u0437\u0430\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447) \u0434\u043B\u044F \u0442\u043E\u0433\u043E, \u0449\u043E\u0431 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u044F\u043A\u0456\u0441\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u044F\u043A\u0456 \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u044E\u0442\u044C\u0441\u044F \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0437  [STIX \u0448\u0440\u0438\u0444\u0442\u0456\u0432](%1)  \u0430\u0431\u043E [\u0448\u0440\u0438\u0444\u0442\u0456\u0432 MathJax-TeX](%2). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0456 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u043E\u0434\u0438\u043D \u0437 \u0446\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u0456\u0432, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 MathJax \u0440\u043E\u0431\u043E\u0442\u0443.",STIXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [STIX \u0448\u0440\u0438\u0444\u0442\u0438](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 MathJax.",TeXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [\u0448\u0440\u0438\u0444\u0442\u0438 MathJax TeX](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 \u0437 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/FontWarnings.js");
diff --git a/localization/uk/HTML-CSS.js b/localization/uk/HTML-CSS.js
index a08b5a69d..559658e15 100644
--- a/localization/uk/HTML-CSS.js
+++ b/localization/uk/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1",CantLoadWebFont:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437 \u0432\u0456\u0434\u0434\u0430\u043B\u0435\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0443",CantFindFontUsing:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442 \u0437\u0430 \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u043E\u044E %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456. \u0421\u043B\u0456\u0434 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u0438 -\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HTML-CSS.js");
+MathJax.Localization.addTranslation("uk","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1",CantLoadWebFont:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437 \u0432\u0456\u0434\u0434\u0430\u043B\u0435\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0443",CantFindFontUsing:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442 \u0437\u0430 \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u043E\u044E %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456. \u0421\u043B\u0456\u0434 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u0438 -\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HTML-CSS.js");
diff --git a/localization/uk/HelpDialog.js b/localization/uk/HelpDialog.js
index 24e1f71d2..5b7b8be3e 100644
--- a/localization/uk/HelpDialog.js
+++ b/localization/uk/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430",MathJax:"*MathJax* - \u0446\u0435 \u0431\u0456\u0431\u043B\u0456\u043E\u0442\u0435\u043A\u0430 \u043D\u0430 JavaScript, \u044F\u043A\u0430 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0430\u0432\u0442\u043E\u0440\u0430\u043C \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0438 \u0432\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0432\u0441\u0456\u0445 \u0441\u0432\u043E\u0457\u0445 \u0432\u0435\u0431-\u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430\u0445. \u042F\u043A \u0447\u0438\u0442\u0430\u0447, \u0432\u0430\u043C \u043D\u0435 \u043F\u043E\u0442\u0440\u0456\u0431\u043D\u043E \u043D\u0456\u0447\u043E\u0433\u043E \u0440\u043E\u0431\u0438\u0442\u0438, \u0449\u043E\u0431 \u0446\u0435 \u0432\u0456\u0434\u0431\u0443\u043B\u043E\u0441\u044F.",Browsers:"*\u041F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456*: MathJax \u043F\u0440\u0430\u0446\u044E\u0454 \u0437 \u0443\u0441\u0456\u043C\u0430 \u0441\u0443\u0447\u0430\u0441\u043D\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044E\u0447\u0438 Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0456 \u0431\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043C\u043E\u0431\u0456\u043B\u044C\u043D\u0438\u0445 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u043C\u0435\u043D\u044E*: MathJax \u0434\u043E\u0434\u0430\u0454 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0434\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u044C.  \u041A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043F\u0440\u0430\u0432\u043E\u044E \u043A\u043D\u043E\u043F\u043A\u043E\u044E \u043C\u0438\u0448\u0456 \u0430\u0431\u043E CTRL+\u043A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043B\u0456\u0432\u043E\u044E \u043D\u0430 \u0431\u0443\u0434\u044C-\u044F\u043A\u043E\u043C\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0432\u0438\u0440\u0430\u0437\u0456 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u0454 \u0434\u043E\u0441\u0442\u0443\u043F \u0434\u043E \u0446\u044C\u043E\u0433\u043E \u043C\u0435\u043D\u044E.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u043D\u0443\u0442\u0438 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u0438 \u0434\u043B\u044F \u043A\u043E\u043F\u0456\u044E\u0432\u0430\u043D\u043D\u044F \u0442\u0430 \u0432\u0441\u0442\u0430\u0432\u043A\u0438 (\u044F\u043A MathML \u0430\u0431\u043E \u0443 \u0457\u0457 \u0432\u043B\u0430\u0441\u043D\u043E\u043C\u0443 \u0444\u043E\u0440\u043C\u0430\u0442\u0456).",Settings:"*\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F* \u0434\u0430\u044E\u0442\u044C \u0432\u0430\u043C \u043F\u043E\u0432\u043D\u0438\u0439 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u044C \u043D\u0430\u0434 \u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438  MathJax \u0442\u0430\u043A\u0438\u043C\u0438 \u044F\u043A \u0440\u043E\u0437\u043C\u0456\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0432\u0438\u0440\u0430\u0437\u0456\u0432 \u0456 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C, \u044F\u043A\u0438\u0439 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u0440\u0456\u0432\u043D\u044F\u043D\u044C.",Language:"*\u041C\u043E\u0432\u0430* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u0432\u0438\u0431\u0440\u0430\u0442\u0438 \u043C\u043E\u0432\u0443 \u0434\u043B\u044F \u043C\u0435\u043D\u044E \u0442\u0430 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u0436\u0435\u043D\u044C MathJax.",Zoom:"*\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438*: \u044F\u043A\u0449\u043E \u0443 \u0432\u0430\u0441 \u0432\u0438\u043D\u0438\u043A\u043B\u0438 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u043F\u0440\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u0456 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F, MathJax \u043C\u043E\u0436\u0435 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0457\u0445, \u0449\u043E\u0431 \u0432\u0438 \u043C\u043E\u0433\u043B\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0438 \u0457\u0445 \u043A\u0440\u0430\u0449\u0435.",Accessibilty:"*\u0414\u043E\u0441\u0442\u0443\u043F\u043D\u0456\u0441\u0442\u044C*: MathJax \u0431\u0443\u0434\u0435 \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E \u043F\u0440\u0430\u0446\u044E\u0432\u0430\u0442\u0438 \u0437 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u0430\u043C\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u044F \u0435\u043A\u0440\u0430\u043D\u0443, \u0430\u0431\u0438 \u0437\u0440\u043E\u0431\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E\u044E \u0434\u043B\u044F \u043D\u0435\u0437\u0440\u044F\u0447\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u0438*: MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0441\u043F\u0435\u0446\u0456\u0430\u043B\u044C\u043D\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u043D\u0430 \u0432\u0430\u0448\u043E\u043C\u0443 \u043A\u043E\u043C\u043F'\u044E\u0442\u0435\u0440\u0456. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0425\u043E\u0447\u0430 \u0446\u0435 \u0456 \u043D\u0435 \u0454 \u043E\u0431\u043E\u0432'\u044F\u0437\u043A\u043E\u0432\u0438\u043C,  \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u043F\u0440\u0438\u0441\u043A\u043E\u0440\u044F\u0442\u044C \u0432\u0435\u0440\u0441\u0442\u043A\u0443. \u041C\u0438 \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0454\u043C\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 [STIX-\u0448\u0440\u0438\u0444\u0442\u0438](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HelpDialog.js");
+MathJax.Localization.addTranslation("uk","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430",MathJax:"*MathJax* - \u0446\u0435 \u0431\u0456\u0431\u043B\u0456\u043E\u0442\u0435\u043A\u0430 \u043D\u0430 JavaScript, \u044F\u043A\u0430 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0430\u0432\u0442\u043E\u0440\u0430\u043C \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0438 \u0432\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0432\u0441\u0456\u0445 \u0441\u0432\u043E\u0457\u0445 \u0432\u0435\u0431-\u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430\u0445. \u042F\u043A \u0447\u0438\u0442\u0430\u0447, \u0432\u0430\u043C \u043D\u0435 \u043F\u043E\u0442\u0440\u0456\u0431\u043D\u043E \u043D\u0456\u0447\u043E\u0433\u043E \u0440\u043E\u0431\u0438\u0442\u0438, \u0449\u043E\u0431 \u0446\u0435 \u0432\u0456\u0434\u0431\u0443\u043B\u043E\u0441\u044F.",Browsers:"*\u041F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456*: MathJax \u043F\u0440\u0430\u0446\u044E\u0454 \u0437 \u0443\u0441\u0456\u043C\u0430 \u0441\u0443\u0447\u0430\u0441\u043D\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044E\u0447\u0438 Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0456 \u0431\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043C\u043E\u0431\u0456\u043B\u044C\u043D\u0438\u0445 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u043C\u0435\u043D\u044E*: MathJax \u0434\u043E\u0434\u0430\u0454 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0434\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u044C.  \u041A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043F\u0440\u0430\u0432\u043E\u044E \u043A\u043D\u043E\u043F\u043A\u043E\u044E \u043C\u0438\u0448\u0456 \u0430\u0431\u043E CTRL+\u043A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043B\u0456\u0432\u043E\u044E \u043D\u0430 \u0431\u0443\u0434\u044C-\u044F\u043A\u043E\u043C\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0432\u0438\u0440\u0430\u0437\u0456 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u0454 \u0434\u043E\u0441\u0442\u0443\u043F \u0434\u043E \u0446\u044C\u043E\u0433\u043E \u043C\u0435\u043D\u044E.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u043D\u0443\u0442\u0438 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u0438 \u0434\u043B\u044F \u043A\u043E\u043F\u0456\u044E\u0432\u0430\u043D\u043D\u044F \u0442\u0430 \u0432\u0441\u0442\u0430\u0432\u043A\u0438 (\u044F\u043A MathML \u0430\u0431\u043E \u0443 \u0457\u0457 \u0432\u043B\u0430\u0441\u043D\u043E\u043C\u0443 \u0444\u043E\u0440\u043C\u0430\u0442\u0456).",Settings:"*\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F* \u0434\u0430\u044E\u0442\u044C \u0432\u0430\u043C \u043F\u043E\u0432\u043D\u0438\u0439 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u044C \u043D\u0430\u0434 \u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438  MathJax \u0442\u0430\u043A\u0438\u043C\u0438 \u044F\u043A \u0440\u043E\u0437\u043C\u0456\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0432\u0438\u0440\u0430\u0437\u0456\u0432 \u0456 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C, \u044F\u043A\u0438\u0439 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u0440\u0456\u0432\u043D\u044F\u043D\u044C.",Language:"*\u041C\u043E\u0432\u0430* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u0432\u0438\u0431\u0440\u0430\u0442\u0438 \u043C\u043E\u0432\u0443 \u0434\u043B\u044F \u043C\u0435\u043D\u044E \u0442\u0430 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u0436\u0435\u043D\u044C MathJax.",Zoom:"*\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438*: \u044F\u043A\u0449\u043E \u0443 \u0432\u0430\u0441 \u0432\u0438\u043D\u0438\u043A\u043B\u0438 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u043F\u0440\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u0456 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F, MathJax \u043C\u043E\u0436\u0435 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0457\u0445, \u0449\u043E\u0431 \u0432\u0438 \u043C\u043E\u0433\u043B\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0438 \u0457\u0445 \u043A\u0440\u0430\u0449\u0435.",Accessibilty:"*\u0414\u043E\u0441\u0442\u0443\u043F\u043D\u0456\u0441\u0442\u044C*: MathJax \u0431\u0443\u0434\u0435 \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E \u043F\u0440\u0430\u0446\u044E\u0432\u0430\u0442\u0438 \u0437 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u0430\u043C\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u044F \u0435\u043A\u0440\u0430\u043D\u0443, \u0430\u0431\u0438 \u0437\u0440\u043E\u0431\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E\u044E \u0434\u043B\u044F \u043D\u0435\u0437\u0440\u044F\u0447\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u0438*: MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0441\u043F\u0435\u0446\u0456\u0430\u043B\u044C\u043D\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u043D\u0430 \u0432\u0430\u0448\u043E\u043C\u0443 \u043A\u043E\u043C\u043F'\u044E\u0442\u0435\u0440\u0456. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0425\u043E\u0447\u0430 \u0446\u0435 \u0456 \u043D\u0435 \u0454 \u043E\u0431\u043E\u0432'\u044F\u0437\u043A\u043E\u0432\u0438\u043C,  \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u043F\u0440\u0438\u0441\u043A\u043E\u0440\u044F\u0442\u044C \u0432\u0435\u0440\u0441\u0442\u043A\u0443. \u041C\u0438 \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0454\u043C\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 [STIX-\u0448\u0440\u0438\u0444\u0442\u0438](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HelpDialog.js");
diff --git a/localization/uk/MathML.js b/localization/uk/MathML.js
index 8f2349d43..6c295195f 100644
--- a/localization/uk/MathML.js
+++ b/localization/uk/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1",BadMglyphFont:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442:%1",MathPlayer:'MathJax \u0431\u0443\u0432 \u043D\u0435 \u0443 \u0437\u043C\u043E\u0437\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u0442\u0438 MathPlayer.\n\n\u042F\u043A\u0449\u043E MathPlayer \u043D\u0435 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u043E\u200B\u200B, \u043D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 \u0439\u043E\u0433\u043E. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443, \u0432\u0430\u0448\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0431\u0435\u0437\u043F\u0435\u043A\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u043B\u043E\u043A\u0443\u0432\u0430\u0442\u0438 \u0443\u043F\u0440\u0430\u0432\u043B\u0456\u043D\u043D\u044F ActiveX \u043F\u0440\u0438 \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0443 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u0430 \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0434\u043B\u044F "\u0417\u0430\u043F\u0443\u0441\u043A \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432 ActiveX" \u0456 "\u0414\u0432\u0456\u0439\u043A\u043E\u0432\u0456 \u043A\u043E\u0434\u0438 \u0456 \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457 \u043F\u043E\u0432\u0435\u0434\u0456\u043D\u043A\u0438"\n\u0432\u043A\u043B\u044E\u0447\u0435\u043D\u0456.\n\n\u0412 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0432\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0435 \u043F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443, \u0430 \u043D\u0435\n\u043D\u0430\u0431\u0440\u0430\u043D\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443.',CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0441\u0442\u0432\u043E\u0440\u0438\u0442\u0438 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0447\u043D\u0438\u0439 \u0430\u043D\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440 XML \u0434\u043B\u044F MathML. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u201E\u0421\u0446\u0435\u043D\u0430\u0440\u0456\u0457 ActiveX \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0456 \u044F\u043A \u0431\u0435\u0437\u043F\u0435\u0447\u043D\u0456 \u0434\u043B\u044F \u0432\u0438\u043A\u043E\u043D\u0430\u043D\u043D\u044F \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457\u0432 \u0431\u0435\u0437\u043F\u0435\u043A\u0438\u201C\n \u0443\u0432\u0456\u043C\u043A\u043D\u0435\u043D\u0438\u0439 (\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0432 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u043F\u0430\u043D\u0435\u043B\u044C \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C, \u0449\u043E\u0431 \u0432\u0456\u0434\u043C\u0456\u0442\u0438\u0442\u0438 \u0446\u0435).\n\nMathML \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F \u043D\u0435 \u0437\u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u043E\u0431\u0440\u043E\u0431\u043B\u0435\u043D\u0456 MathJax.",UnknownNodeType:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0439 \u0442\u0438\u043F \u0432\u0443\u0437\u043B\u0430: %1",UnexpectedTextNode:"\u041D\u0435\u043F\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043D\u0438\u0439 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u0438\u0439 \u0432\u0443\u0437\u043E\u043B: %1",ErrorParsingMathML:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML",ParsingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML: %1",MathMLSingleElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u043E\u0434\u043D\u0438\u043C \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C",MathMLRootElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u003Cmath\u003E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathML.js");
+MathJax.Localization.addTranslation("uk","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1",BadMglyphFont:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442:%1",MathPlayer:'MathJax \u0431\u0443\u0432 \u043D\u0435 \u0443 \u0437\u043C\u043E\u0437\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u0442\u0438 MathPlayer.\n\n\u042F\u043A\u0449\u043E MathPlayer \u043D\u0435 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u043E\u200B\u200B, \u043D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 \u0439\u043E\u0433\u043E. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443, \u0432\u0430\u0448\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0431\u0435\u0437\u043F\u0435\u043A\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u043B\u043E\u043A\u0443\u0432\u0430\u0442\u0438 \u0443\u043F\u0440\u0430\u0432\u043B\u0456\u043D\u043D\u044F ActiveX \u043F\u0440\u0438 \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0443 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u0430 \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0434\u043B\u044F "\u0417\u0430\u043F\u0443\u0441\u043A \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432 ActiveX" \u0456 "\u0414\u0432\u0456\u0439\u043A\u043E\u0432\u0456 \u043A\u043E\u0434\u0438 \u0456 \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457 \u043F\u043E\u0432\u0435\u0434\u0456\u043D\u043A\u0438"\n\u0432\u043A\u043B\u044E\u0447\u0435\u043D\u0456.\n\n\u0412 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0432\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0435 \u043F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443, \u0430 \u043D\u0435\n\u043D\u0430\u0431\u0440\u0430\u043D\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443.',CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0441\u0442\u0432\u043E\u0440\u0438\u0442\u0438 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0447\u043D\u0438\u0439 \u0430\u043D\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440 XML \u0434\u043B\u044F MathML. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u201E\u0421\u0446\u0435\u043D\u0430\u0440\u0456\u0457 ActiveX \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0456 \u044F\u043A \u0431\u0435\u0437\u043F\u0435\u0447\u043D\u0456 \u0434\u043B\u044F \u0432\u0438\u043A\u043E\u043D\u0430\u043D\u043D\u044F \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457\u0432 \u0431\u0435\u0437\u043F\u0435\u043A\u0438\u201C\n \u0443\u0432\u0456\u043C\u043A\u043D\u0435\u043D\u0438\u0439 (\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0432 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u043F\u0430\u043D\u0435\u043B\u044C \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C, \u0449\u043E\u0431 \u0432\u0456\u0434\u043C\u0456\u0442\u0438\u0442\u0438 \u0446\u0435).\n\nMathML \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F \u043D\u0435 \u0437\u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u043E\u0431\u0440\u043E\u0431\u043B\u0435\u043D\u0456 MathJax.",UnknownNodeType:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0439 \u0442\u0438\u043F \u0432\u0443\u0437\u043B\u0430: %1",UnexpectedTextNode:"\u041D\u0435\u043F\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043D\u0438\u0439 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u0438\u0439 \u0432\u0443\u0437\u043E\u043B: %1",ErrorParsingMathML:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML",ParsingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML: %1",MathMLSingleElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u043E\u0434\u043D\u0438\u043C \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C",MathMLRootElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u003Cmath\u003E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathML.js");
diff --git a/localization/uk/MathMenu.js b/localization/uk/MathMenu.js
index 05fd2782a..12df4b4da 100644
--- a/localization/uk/MathMenu.js
+++ b/localization/uk/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u0438 TeX",AsciiMathInput:"\u0412\u0432\u0456\u0434 AsciiMathML",Original:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",ErrorMessage:"\u041F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0456\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0417\u043C\u0456\u0441\u0442 MathML",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043F\u043E\u0440\u0430\u0434\u0438 TeX \u0432 MathML",Settings:"\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",ZoomTrigger:"\u041F\u0443\u0441\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443",Hover:"\u041F\u0456\u0434\u043D\u0435\u0441\u0435\u043D\u043D\u044F \u043A\u0443\u0440\u0441\u043E\u0440\u0430",Click:"\u041A\u043B\u0456\u043A",DoubleClick:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043A\u043B\u0456\u043A",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",TriggerRequires:"\u041D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u0456 \u043A\u043B\u044E\u0447\u0456:",Option:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440",Alt:"Alt",Command:"\u041A\u043E\u043C\u0430\u043D\u0434\u0430",Control:"\u041A\u0435\u0440\u0443\u0432\u0430\u043D\u043D\u044F",Shift:"Shift",ZoomFactor:"\u041C\u043D\u043E\u0436\u043D\u0438\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",Renderer:"\u0412\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0446\u0456\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MPHandles:"MathPlayer \u043E\u043F\u0440\u0430\u0446\u044C\u043E\u0432\u0443\u0454:",MenuEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E",MouseEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0438\u0448\u043A\u0438",MenuAndMouse:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E \u0456 \u043C\u0438\u0448\u043A\u0438",FontPrefs:"\u0423\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0448\u0442\u0440\u0438\u0444\u0442\u0443",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",TeXWeb:"TeX (\u0432\u0435\u0431)",TeXImage:"TeX (\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E",Browser:"\u041E\u0433\u043B\u044F\u0434",Scale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0443\u0441\u044E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443\u2026",Discoverable:"\u041F\u0456\u0434\u0441\u0432\u0456\u0442\u043A\u0430 \u043F\u0440\u0438 \u043D\u0430\u0432\u0435\u0434\u0435\u043D\u043D\u0456",Locale:"\u041C\u043E\u0432\u0430",LoadLocale:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0437 URL...",About:"\u041F\u0440\u043E MathJax",Help:"\u0414\u043E\u043F\u043E\u043C\u043E\u0433\u0430 MathJax",localTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 TeX",webTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 TeX",imagefonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C",localSTIXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 STIX-\u0448\u0440\u0438\u0444\u0442\u0438",webSVGfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 SVG \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438",genericfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u0437\u0433\u0435\u043D\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438",wofforotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 woff \u0430\u0431\u043E otf",eotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 eot",svgfonts:"\u0448\u0440\u0438\u0444\u0442\u0438 svg",WebkitNativeMMLWarning:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathML, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u0434\u043E MathML \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",MSIENativeMMLWarning:"\u0412\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 Internet Explorer \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u043C\u043E\u0434\u0443\u043B\u044C MathPlayer \u0434\u043B\u044F \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u0432\u0438\u0432\u043E\u0434\u0443 MathML.",OperaNativeMMLWarning:"\u041E\u0431\u043C\u0435\u0436\u0435\u043D\u0430 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u043A\u0430 MathML \u0432 Opera, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u043D\u0430 MathML \u043C\u043E\u0436\u0443\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0430\u0442\u0438, \u0449\u043E \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043F\u043E\u0433\u0430\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u043C\u0443\u0442\u044C\u0441\u044F.",SafariNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",FirefoxNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",MSIESVGWarning:"SVG \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u043E \u0443 \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456 Internet Explorer \u0432\u0435\u0440\u0441\u0456\u0457 9 \u0430\u0431\u043E \u0435\u043C\u0443\u043B\u044E\u0454\u0442\u044C\u0441\u044F \u0432 IE8 \u0430\u0431\u043E \u043D\u0438\u0436\u0447\u0435, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u043D\u0430 \u0432\u0438\u0432\u0456\u0434 SVG \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u0446\u044E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0443 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",LoadURL:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443 \u0437 \u0446\u044C\u043E\u0433\u043E URL:",BadURL:'URL-\u0430\u0434\u0440\u0435\u0441\u0430 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u043B\u044F JavaScript \u0444\u0430\u0439\u043B\u0443, \u044F\u043A\u0438\u0439 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454 MathJax \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443. \u0406\u043C\'\u044F \u0444\u0430\u0439\u043B\u0443 JavaScript \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0437\u0430\u043A\u0456\u043D\u0447\u0443\u0432\u0430\u0442\u0438\u0441\u044F \u043D\u0430 ".js"',BadData:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0438 \u0437 %1",SwitchAnyway:"\u0417\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440?\n\n(\u0412\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0413\u0430\u0440\u0430\u0437\u0434, \u0449\u043E\u0431 \u0437\u043C\u0456\u043D\u0438\u0442\u0438, \u0430\u0431\u043E \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u0434\u043B\u044F \u043F\u0440\u043E\u0434\u043E\u0432\u0436\u0435\u043D\u043D\u044F \u043F\u043E\u0442\u043E\u0447\u043D\u043E\u0433\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440\u0430)",ScaleMath:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0432\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 (\u0443 \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043D\u0456 \u0437 \u043E\u0442\u043E\u0447\u0443\u044E\u0447\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C)",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u043D\u0443\u043B\u0435\u043C",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0443 \u0432\u0456\u0434\u0441\u043E\u0442\u043A\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, 120%%)",IE8warning:"\u0426\u0435 \u0432\u0438\u043C\u0438\u043A\u0430\u0454 MathJax \u043C\u0435\u043D\u044E \u0442\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u0443\u0442\u0440\u0438\u043C\u0443\u0432\u0430\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u043D\u0430 \u0432\u0438\u0440\u0430\u0437\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u043D\u0430\u0442\u043E\u043C\u0456\u0441\u0442\u044C \u043C\u0435\u043D\u044E MathJax.\n\n\u0414\u0456\u0439\u0441\u043D\u043E \u0437\u043C\u0456\u043D\u0438\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F MathPlayer?",IE9warning:"MathJax \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0432\u0456\u0434\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u044F MathJax \u043C\u0435\u043D\u044E.",NoOriginalForm:"\u041D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0430 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",Close:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438",EqSource:"\u0414\u0436\u0435\u0440\u0435\u043B\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathMenu.js");
+MathJax.Localization.addTranslation("uk","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u0438 TeX",AsciiMathInput:"\u0412\u0432\u0456\u0434 AsciiMathML",Original:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",ErrorMessage:"\u041F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0456\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0417\u043C\u0456\u0441\u0442 MathML",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043F\u043E\u0440\u0430\u0434\u0438 TeX \u0432 MathML",Settings:"\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",ZoomTrigger:"\u041F\u0443\u0441\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443",Hover:"\u041F\u0456\u0434\u043D\u0435\u0441\u0435\u043D\u043D\u044F \u043A\u0443\u0440\u0441\u043E\u0440\u0430",Click:"\u041A\u043B\u0456\u043A",DoubleClick:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043A\u043B\u0456\u043A",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",TriggerRequires:"\u041D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u0456 \u043A\u043B\u044E\u0447\u0456:",Option:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440",Alt:"Alt",Command:"\u041A\u043E\u043C\u0430\u043D\u0434\u0430",Control:"\u041A\u0435\u0440\u0443\u0432\u0430\u043D\u043D\u044F",Shift:"Shift",ZoomFactor:"\u041C\u043D\u043E\u0436\u043D\u0438\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",Renderer:"\u0412\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0446\u0456\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MPHandles:"MathPlayer \u043E\u043F\u0440\u0430\u0446\u044C\u043E\u0432\u0443\u0454:",MenuEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E",MouseEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0438\u0448\u043A\u0438",MenuAndMouse:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E \u0456 \u043C\u0438\u0448\u043A\u0438",FontPrefs:"\u0423\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0448\u0442\u0440\u0438\u0444\u0442\u0443",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",TeXWeb:"TeX (\u0432\u0435\u0431)",TeXImage:"TeX (\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",STIXWeb:"STIX (\u0432\u0435\u0431)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E",Browser:"\u041E\u0433\u043B\u044F\u0434",Scale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0443\u0441\u044E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443\u2026",Discoverable:"\u041F\u0456\u0434\u0441\u0432\u0456\u0442\u043A\u0430 \u043F\u0440\u0438 \u043D\u0430\u0432\u0435\u0434\u0435\u043D\u043D\u0456",Locale:"\u041C\u043E\u0432\u0430",LoadLocale:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0437 URL...",About:"\u041F\u0440\u043E MathJax",Help:"\u0414\u043E\u043F\u043E\u043C\u043E\u0433\u0430 MathJax",localTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 TeX",webTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 TeX",imagefonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C",localSTIXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 STIX-\u0448\u0440\u0438\u0444\u0442\u0438",webSVGfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 SVG \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438",genericfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u0437\u0433\u0435\u043D\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438",wofforotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 woff \u0430\u0431\u043E otf",eotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 eot",svgfonts:"\u0448\u0440\u0438\u0444\u0442\u0438 svg",WebkitNativeMMLWarning:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathML, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u0434\u043E MathML \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",MSIENativeMMLWarning:"\u0412\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 Internet Explorer \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u043C\u043E\u0434\u0443\u043B\u044C MathPlayer \u0434\u043B\u044F \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u0432\u0438\u0432\u043E\u0434\u0443 MathML.",OperaNativeMMLWarning:"\u041E\u0431\u043C\u0435\u0436\u0435\u043D\u0430 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u043A\u0430 MathML \u0432 Opera, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u043D\u0430 MathML \u043C\u043E\u0436\u0443\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0430\u0442\u0438, \u0449\u043E \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043F\u043E\u0433\u0430\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u043C\u0443\u0442\u044C\u0441\u044F.",SafariNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",FirefoxNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",MSIESVGWarning:"SVG \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u043E \u0443 \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456 Internet Explorer \u0432\u0435\u0440\u0441\u0456\u0457 9 \u0430\u0431\u043E \u0435\u043C\u0443\u043B\u044E\u0454\u0442\u044C\u0441\u044F \u0432 IE8 \u0430\u0431\u043E \u043D\u0438\u0436\u0447\u0435, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u043D\u0430 \u0432\u0438\u0432\u0456\u0434 SVG \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u0446\u044E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0443 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",LoadURL:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443 \u0437 \u0446\u044C\u043E\u0433\u043E URL:",BadURL:'URL-\u0430\u0434\u0440\u0435\u0441\u0430 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u043B\u044F JavaScript \u0444\u0430\u0439\u043B\u0443, \u044F\u043A\u0438\u0439 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454 MathJax \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443. \u0406\u043C\'\u044F \u0444\u0430\u0439\u043B\u0443 JavaScript \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0437\u0430\u043A\u0456\u043D\u0447\u0443\u0432\u0430\u0442\u0438\u0441\u044F \u043D\u0430 ".js"',BadData:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0438 \u0437 %1",SwitchAnyway:"\u0417\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440?\n\n(\u0412\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0413\u0430\u0440\u0430\u0437\u0434, \u0449\u043E\u0431 \u0437\u043C\u0456\u043D\u0438\u0442\u0438, \u0430\u0431\u043E \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u0434\u043B\u044F \u043F\u0440\u043E\u0434\u043E\u0432\u0436\u0435\u043D\u043D\u044F \u043F\u043E\u0442\u043E\u0447\u043D\u043E\u0433\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440\u0430)",ScaleMath:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0432\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 (\u0443 \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043D\u0456 \u0437 \u043E\u0442\u043E\u0447\u0443\u044E\u0447\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C)",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u043D\u0443\u043B\u0435\u043C",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0443 \u0432\u0456\u0434\u0441\u043E\u0442\u043A\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, 120%%)",IE8warning:"\u0426\u0435 \u0432\u0438\u043C\u0438\u043A\u0430\u0454 MathJax \u043C\u0435\u043D\u044E \u0442\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u0443\u0442\u0440\u0438\u043C\u0443\u0432\u0430\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u043D\u0430 \u0432\u0438\u0440\u0430\u0437\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u043D\u0430\u0442\u043E\u043C\u0456\u0441\u0442\u044C \u043C\u0435\u043D\u044E MathJax.\n\n\u0414\u0456\u0439\u0441\u043D\u043E \u0437\u043C\u0456\u043D\u0438\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F MathPlayer?",IE9warning:"MathJax \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0432\u0456\u0434\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u044F MathJax \u043C\u0435\u043D\u044E.",NoOriginalForm:"\u041D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0430 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",Close:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438",EqSource:"\u0414\u0436\u0435\u0440\u0435\u043B\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathMenu.js");
diff --git a/localization/uk/TeX.js b/localization/uk/TeX.js
index ff302f454..b74aab3ca 100644
--- a/localization/uk/TeX.js
+++ b/localization/uk/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",ExtraCloseMissingOpen:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",MissingLeftExtraRight:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\left \u0430\u0431\u043E \u0437\u0430\u0439\u0432\u0438\u0439 \\right",MissingScript:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0438 \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456 \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0456\u0432",ExtraLeftMissingRight:"\u0417\u0430\u0439\u0432\u0438\u0439 \\left \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\right",Misplaced:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 %1",MissingOpenForSub:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",MissingOpenForSup:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0456\u043D\u0447\u0438\u0432\u0441\u044F \\end{%2}",EnvMissingEnd:"\u0411\u0440\u0430\u043A\u0443\u0454 \\end{%1}",MissingBoxFor:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0454 \u043F\u043E\u043B\u0435 \u0434\u043B\u044F %1",MissingCloseBrace:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u043E\u043C\u0430\u043D\u0434\u0430 %1",DoubleExponent:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",DoubleSubscripts:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043D\u0438\u0436\u043D\u0456\u0439 \u0456\u043D\u0434\u0435\u043A\u0441: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0443\u0442\u043E\u0447\u0435\u043D\u043D\u044F",DoubleExponentPrime:"\u0417\u043D\u0430\u043A \u0448\u0442\u0440\u0438\u0445\u0430 \u0441\u043F\u0440\u0438\u0447\u0438\u043D\u0438\u0432 \u043F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0443 # \u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0440\u0435\u0436\u0438\u043C\u0456",MisplacedMiddle:"%1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0432 \u043C\u0435\u0436\u0430\u0445 \\left \u0456 \\right",MisplacedLimits:"%1 \u0434\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0442\u0456\u043B\u044C\u043A\u0438 \u043D\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u0445",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0437'\u044F\u0432\u0438\u0442\u0438\u0441\u044F \u043B\u0438\u0448\u0435 \u043F\u0456\u0434 \u043A\u043E\u0440\u0435\u043D\u0435\u043C",MultipleCommand:"\u041A\u0456\u043B\u044C\u043A\u0430 %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F  %1  \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1 \u043D\u0435 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C \u043C\u0430\u0440\u043A\u0435\u0440\u0430",InvalidMathMLAttr:"\u041D\u0435\u043F\u0440\u0438\u043F\u0443\u0441\u0442\u0438\u043C\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1 \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0434\u043B\u044F %2",MaxMacroSub1:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0456\u0432 \u043C\u0430\u043A\u0440\u043E\u0441\u0456\u0432; \u0430\u0431\u043E \u0432\u0456\u0434\u0431\u0443\u0432\u0430\u0454\u0442\u044C\u0441\u044F \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",MaxMacroSub2:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0437\u0430\u043C\u0456\u043D; \u0430\u0431\u043E \u0446\u0435 \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 latex?",MissingArgFor:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0417\u0430\u0439\u0432\u0438\u0439 \u0442\u0430\u0431\u0443\u043B\u044F\u0442\u043E\u0440 \u0442\u0435\u043A\u0441\u0442\u0443 \u0443 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0443 \u0434\u0443\u0436\u043A\u0430\u0445 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0440\u043E\u0437\u043C\u0456\u0440\u043E\u043C",InvalidEnv:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0430 '%1'",UnknownEnv:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 '%1'",ExtraCloseLooking:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430 \u0432\u0438\u043D\u0438\u043A\u043B\u0430 \u043F\u0456\u0434 \u0447\u0430\u0441 \u043F\u043E\u0448\u0443\u043A\u0443 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0443 ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0443 \u0434\u043E %1",MissingOrUnrecognizedDelim:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0430\u0431\u043E \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A \u0434\u043B\u044F %1",MissingDimOrUnits:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0439\u043E\u0433\u043E \u043E\u0434\u0438\u043D\u0438\u0446\u0456 \u0434\u043B\u044F %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u043E\u043C\u0443 \u043F\u043E\u043B\u0456",IllegalMacroParam:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u043F\u043E\u0441\u0438\u043B\u0430\u043D\u043D\u044F \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0443",MaxBufferSize:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u0440\u043E\u0437\u043C\u0456\u0440 \u0432\u043D\u0443\u0442\u0440\u0456\u0448\u043D\u044C\u043E\u0433\u043E \u0431\u0443\u0444\u0435\u0440\u0430 MathJax; \u0442\u0430\u043C \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0434\u043E\u043F\u0443\u0441\u043A\u0430\u0454\u0442\u044C\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %2",MultipleLabel:"\u041C\u0456\u0442\u043A\u0430 '%1' \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0430 \u0440\u0430\u0437\u0456\u0432",CommandAtTheBeginingOfLine:"%1 \u043C\u0430\u0454 \u0437\u043D\u0430\u0445\u043E\u0434\u0438\u0442\u0438\u0441\u044F \u043D\u0430 \u043F\u043E\u0447\u0430\u0442\u043A\u0443 \u0440\u044F\u0434\u043A\u0430",IllegalAlign:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u0440\u0456\u0432\u043D\u044E\u0432\u0430\u043D\u043D\u044F \u0432\u043A\u0430\u0437\u0430\u043D\u0435 \u0443 %1",BadMathStyleFor:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0441 \u0434\u043B\u044F %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0434\u043E\u0434\u0430\u0442\u043D\u0438\u043C \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041F\u043E\u043C\u0438\u043B\u043A\u043E\u0432\u0456 \u0432\u043A\u043B\u0430\u0434\u0435\u043D\u043E\u0441\u0442\u0456 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F",MultlineRowsOneCol:"\u0420\u044F\u0434\u043A\u0438 \u0443 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %1 \u043C\u0443\u0441\u044F\u0442\u044C \u043C\u0430\u0442\u0438 \u043B\u0438\u0448\u0435 \u043E\u0434\u0438\u043D \u0441\u0442\u043E\u0432\u043F\u0435\u0446\u044C",MultipleBBoxProperty:"%1 \u0432\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0456\u0447\u0456 \u0432 %2",InvalidBBoxProperty:"'%1' \u0437\u043E\u0432\u0441\u0456\u043C \u043D\u0435 \u0441\u0445\u043E\u0436\u0438\u0439 \u043D\u0430 \u043A\u043E\u043B\u0456\u0440, \u0434\u043E\u0434\u0430\u0442\u043A\u043E\u0432\u0438\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u0417\u0430\u0439\u0432\u0430 %1 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0441\u043B\u0456\u0434\u0443\u0454 \u043F\u0456\u0441\u043B\u044F \\let, \\def \u0430\u0431\u043E \\newcommand",UndefinedColorModel:"\u041A\u043E\u043B\u0456\u0440\u043D\u0430 \u043C\u043E\u0434\u0435\u043B\u044C '%1' \u043D\u0435 \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430",ModelArg1:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u0432\u0438\u043C\u0430\u0433\u0430\u044E\u0442\u044C 3 \u0446\u0438\u0444\u0440\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0434\u0435\u0441\u044F\u0442\u043A\u043E\u0432\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0431\u0443\u0442\u0438 \u043C\u0456\u0436 \u0442\u0435\u0433\u0430\u043C\u0438 %2 \u0456 %3",InvalidNumber:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0448\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u043D\u0430\u0437\u0432\u043E\u044E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430 \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456",NewextarrowArg2:"\u0414\u0440\u0443\u0433\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u0432\u043E\u043C\u0430 \u0446\u0456\u043B\u0438\u043C\u0438 \u0447\u0438\u0441\u043B\u0430\u043C\u0438, \u0440\u043E\u0437\u0434\u0456\u043B\u0435\u043D\u0438\u043C\u0438 \u043A\u043E\u043C\u0430\u043C\u0438",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0456\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0447\u0438\u0441\u043B\u043E\u0432\u0438\u043C \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0438\u043C \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u043C",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 %1",IllegalControlSequenceName:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456 \u0434\u043B\u044F %1",IllegalParamNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432, \u0437\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0445 \u0443 %1",MissingCS:"\u041F\u0456\u0441\u043B\u044F %1 \u043C\u0443\u0441\u0438\u0442\u044C \u0441\u043B\u0456\u0434\u0443\u0432\u0430\u0442\u0438 \u043A\u0435\u0440\u0456\u0432\u043D\u0430 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u0456\u0441\u0442\u044C",CantUseHash2:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F # \u0443 \u0448\u0430\u0431\u043B\u043E\u043D\u0456 \u0434\u043B\u044F %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u0431\u0443\u0442\u0438 \u043F\u0440\u043E\u043D\u0443\u043C\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E",MissingReplacementString:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u044F\u0434\u043E\u043A \u0437\u0430\u043C\u0456\u043D\u0438 \u0434\u043B\u044F \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F %1",MismatchUseDef:"\u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1 \u043D\u0435 \u0432\u0456\u0434\u043F\u043E\u0432\u0456\u0434\u0430\u0454 \u0439\u043E\u0433\u043E \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044E",RunawayArgument:"\u0412\u0442\u0440\u0430\u0447\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1?",NoClosingDelim:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0433\u043E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A\u0430 \u0434\u043B\u044F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/TeX.js");
+MathJax.Localization.addTranslation("uk","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",ExtraCloseMissingOpen:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",MissingLeftExtraRight:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\left \u0430\u0431\u043E \u0437\u0430\u0439\u0432\u0438\u0439 \\right",MissingScript:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0438 \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456 \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0456\u0432",ExtraLeftMissingRight:"\u0417\u0430\u0439\u0432\u0438\u0439 \\left \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\right",Misplaced:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 %1",MissingOpenForSub:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",MissingOpenForSup:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0456\u043D\u0447\u0438\u0432\u0441\u044F \\end{%2}",EnvMissingEnd:"\u0411\u0440\u0430\u043A\u0443\u0454 \\end{%1}",MissingBoxFor:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0454 \u043F\u043E\u043B\u0435 \u0434\u043B\u044F %1",MissingCloseBrace:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u043E\u043C\u0430\u043D\u0434\u0430 %1",DoubleExponent:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",DoubleSubscripts:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043D\u0438\u0436\u043D\u0456\u0439 \u0456\u043D\u0434\u0435\u043A\u0441: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0443\u0442\u043E\u0447\u0435\u043D\u043D\u044F",DoubleExponentPrime:"\u0417\u043D\u0430\u043A \u0448\u0442\u0440\u0438\u0445\u0430 \u0441\u043F\u0440\u0438\u0447\u0438\u043D\u0438\u0432 \u043F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0443 # \u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0440\u0435\u0436\u0438\u043C\u0456",MisplacedMiddle:"%1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0432 \u043C\u0435\u0436\u0430\u0445 \\left \u0456 \\right",MisplacedLimits:"%1 \u0434\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0442\u0456\u043B\u044C\u043A\u0438 \u043D\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u0445",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0437'\u044F\u0432\u0438\u0442\u0438\u0441\u044F \u043B\u0438\u0448\u0435 \u043F\u0456\u0434 \u043A\u043E\u0440\u0435\u043D\u0435\u043C",MultipleCommand:"\u041A\u0456\u043B\u044C\u043A\u0430 %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F  %1  \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1 \u043D\u0435 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C \u043C\u0430\u0440\u043A\u0435\u0440\u0430",InvalidMathMLAttr:"\u041D\u0435\u043F\u0440\u0438\u043F\u0443\u0441\u0442\u0438\u043C\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1 \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0434\u043B\u044F %2",MaxMacroSub1:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0456\u0432 \u043C\u0430\u043A\u0440\u043E\u0441\u0456\u0432; \u0430\u0431\u043E \u0432\u0456\u0434\u0431\u0443\u0432\u0430\u0454\u0442\u044C\u0441\u044F \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",MaxMacroSub2:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0437\u0430\u043C\u0456\u043D; \u0430\u0431\u043E \u0446\u0435 \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 latex?",MissingArgFor:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0417\u0430\u0439\u0432\u0438\u0439 \u0442\u0430\u0431\u0443\u043B\u044F\u0442\u043E\u0440 \u0442\u0435\u043A\u0441\u0442\u0443 \u0443 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0443 \u0434\u0443\u0436\u043A\u0430\u0445 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0440\u043E\u0437\u043C\u0456\u0440\u043E\u043C",InvalidEnv:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0430 '%1'",UnknownEnv:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 '%1'",ExtraCloseLooking:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430 \u0432\u0438\u043D\u0438\u043A\u043B\u0430 \u043F\u0456\u0434 \u0447\u0430\u0441 \u043F\u043E\u0448\u0443\u043A\u0443 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0443 ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0443 \u0434\u043E %1",MissingOrUnrecognizedDelim:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0430\u0431\u043E \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A \u0434\u043B\u044F %1",MissingDimOrUnits:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0439\u043E\u0433\u043E \u043E\u0434\u0438\u043D\u0438\u0446\u0456 \u0434\u043B\u044F %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u043E\u043C\u0443 \u043F\u043E\u043B\u0456",IllegalMacroParam:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u043F\u043E\u0441\u0438\u043B\u0430\u043D\u043D\u044F \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0443",MaxBufferSize:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u0440\u043E\u0437\u043C\u0456\u0440 \u0432\u043D\u0443\u0442\u0440\u0456\u0448\u043D\u044C\u043E\u0433\u043E \u0431\u0443\u0444\u0435\u0440\u0430 MathJax; \u0442\u0430\u043C \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0434\u043E\u043F\u0443\u0441\u043A\u0430\u0454\u0442\u044C\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %2",MultipleLabel:"\u041C\u0456\u0442\u043A\u0430 '%1' \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0430 \u0440\u0430\u0437\u0456\u0432",CommandAtTheBeginingOfLine:"%1 \u043C\u0430\u0454 \u0437\u043D\u0430\u0445\u043E\u0434\u0438\u0442\u0438\u0441\u044F \u043D\u0430 \u043F\u043E\u0447\u0430\u0442\u043A\u0443 \u0440\u044F\u0434\u043A\u0430",IllegalAlign:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u0440\u0456\u0432\u043D\u044E\u0432\u0430\u043D\u043D\u044F \u0432\u043A\u0430\u0437\u0430\u043D\u0435 \u0443 %1",BadMathStyleFor:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0441 \u0434\u043B\u044F %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0434\u043E\u0434\u0430\u0442\u043D\u0438\u043C \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041F\u043E\u043C\u0438\u043B\u043A\u043E\u0432\u0456 \u0432\u043A\u043B\u0430\u0434\u0435\u043D\u043E\u0441\u0442\u0456 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F",MultlineRowsOneCol:"\u0420\u044F\u0434\u043A\u0438 \u0443 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %1 \u043C\u0443\u0441\u044F\u0442\u044C \u043C\u0430\u0442\u0438 \u043B\u0438\u0448\u0435 \u043E\u0434\u0438\u043D \u0441\u0442\u043E\u0432\u043F\u0435\u0446\u044C",MultipleBBoxProperty:"%1 \u0432\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0456\u0447\u0456 \u0432 %2",InvalidBBoxProperty:"'%1' \u0437\u043E\u0432\u0441\u0456\u043C \u043D\u0435 \u0441\u0445\u043E\u0436\u0438\u0439 \u043D\u0430 \u043A\u043E\u043B\u0456\u0440, \u0434\u043E\u0434\u0430\u0442\u043A\u043E\u0432\u0438\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u0417\u0430\u0439\u0432\u0430 %1 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0441\u043B\u0456\u0434\u0443\u0454 \u043F\u0456\u0441\u043B\u044F \\let, \\def \u0430\u0431\u043E \\newcommand",UndefinedColorModel:"\u041A\u043E\u043B\u0456\u0440\u043D\u0430 \u043C\u043E\u0434\u0435\u043B\u044C '%1' \u043D\u0435 \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430",ModelArg1:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u0432\u0438\u043C\u0430\u0433\u0430\u044E\u0442\u044C 3 \u0446\u0438\u0444\u0440\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0434\u0435\u0441\u044F\u0442\u043A\u043E\u0432\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0431\u0443\u0442\u0438 \u043C\u0456\u0436 \u0442\u0435\u0433\u0430\u043C\u0438 %2 \u0456 %3",InvalidNumber:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0448\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u043D\u0430\u0437\u0432\u043E\u044E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430 \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456",NewextarrowArg2:"\u0414\u0440\u0443\u0433\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u0432\u043E\u043C\u0430 \u0446\u0456\u043B\u0438\u043C\u0438 \u0447\u0438\u0441\u043B\u0430\u043C\u0438, \u0440\u043E\u0437\u0434\u0456\u043B\u0435\u043D\u0438\u043C\u0438 \u043A\u043E\u043C\u0430\u043C\u0438",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0456\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0447\u0438\u0441\u043B\u043E\u0432\u0438\u043C \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0438\u043C \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u043C",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 %1",IllegalControlSequenceName:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456 \u0434\u043B\u044F %1",IllegalParamNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432, \u0437\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0445 \u0443 %1",MissingCS:"\u041F\u0456\u0441\u043B\u044F %1 \u043C\u0443\u0441\u0438\u0442\u044C \u0441\u043B\u0456\u0434\u0443\u0432\u0430\u0442\u0438 \u043A\u0435\u0440\u0456\u0432\u043D\u0430 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u0456\u0441\u0442\u044C",CantUseHash2:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F # \u0443 \u0448\u0430\u0431\u043B\u043E\u043D\u0456 \u0434\u043B\u044F %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u0431\u0443\u0442\u0438 \u043F\u0440\u043E\u043D\u0443\u043C\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E",MissingReplacementString:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u044F\u0434\u043E\u043A \u0437\u0430\u043C\u0456\u043D\u0438 \u0434\u043B\u044F \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F %1",MismatchUseDef:"\u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1 \u043D\u0435 \u0432\u0456\u0434\u043F\u043E\u0432\u0456\u0434\u0430\u0454 \u0439\u043E\u0433\u043E \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044E",RunawayArgument:"\u0412\u0442\u0440\u0430\u0447\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1?",NoClosingDelim:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0433\u043E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A\u0430 \u0434\u043B\u044F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/TeX.js");
diff --git a/localization/uk/uk.js b/localization/uk/uk.js
index 2d397ac60..5b78959a3 100644
--- a/localization/uk/uk.js
+++ b/localization/uk/uk.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk",null,{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:'MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 "\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)',MathProcessingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u043E\u043C\u0438\u043B\u043A\u0430",LoadFile:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F %1",Loading:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F",LoadFailed:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0444\u0430\u0439\u043B: %1",ProcessMath:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430...",TypesetMath:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!=11){return 1}if(2<=a%10&&a%10<=4&&!(12<=a%100&&a%100<=14)){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/uk.js");
+MathJax.Localization.addTranslation("uk",null,{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:'MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 "\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)',MathProcessingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u043E\u043C\u0438\u043B\u043A\u0430",LoadFile:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F %1",Loading:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F",LoadFailed:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0444\u0430\u0439\u043B: %1",ProcessMath:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430...",TypesetMath:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!=11){return 1}if(2<=a%10&&a%10<=4&&!(12<=a%100&&a%100<=14)){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/uk.js");
diff --git a/localization/vi/FontWarnings.js b/localization/vi/FontWarnings.js
new file mode 100644
index 000000000..50fa63d6d
--- /dev/null
+++ b/localization/vi/FontWarnings.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/vi/FontWarnings.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("vi","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn Web \u0111\u1EC3 v\u1EBD k\u00FD hi\u1EC7u to\u00E1n h\u1ECDc tr\u00EAn trang n\u00E0y. Tr\u00ECnh duy\u1EC7t ph\u1EA3i t\u1EF1 \u0111\u1ED9ng t\u1EA3i v\u1EC1 c\u00E1c ph\u00F4ng ch\u1EEF n\u00E0y; \u0111\u1EC3 l\u00E0m cho trang hi\u1EC3n th\u1ECB nhanh h\u01A1n, b\u1EA1n c\u00F3 th\u1EC3 c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc tr\u1EF1c ti\u1EBFp v\u00E0o th\u01B0 m\u1EE5c ph\u00F4ng ch\u1EEF c\u1EE7a m\u00E1y.",imageFonts:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh c\u1EE7a n\u00F3 thay v\u00EC c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn m\u00E1y ho\u1EB7c tr\u00EAn Web. C\u00E1c bi\u1EC3u th\u1EE9c to\u00E1n h\u1ECDc n\u00E0y s\u1EBD hi\u1EC3n th\u1ECB ch\u1EADm h\u01A1n b\u00ECnh th\u01B0\u1EDDng v\u00E0 c\u00F3 th\u1EC3 in ra \u1EDF \u0111\u1ED9 ph\u00E2n gi\u1EA3i th\u1EA5p.",noFonts:"MathJax kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc, v\u00E0 c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh kh\u00F4ng c\u00F3 s\u1EB5n, n\u00EAn n\u00F3 s\u1EED d\u1EE5ng c\u00E1c k\u00FD t\u1EF1 Unicode b\u00ECnh th\u01B0\u1EDDng n\u1EBFu tr\u01B0\u1EDDng h\u1EE3p tr\u00ECnh duy\u1EC7t c\u00F3 kh\u1EA3 n\u0103ng hi\u1EC3n th\u1ECB ch\u00FAng. M\u1ED9t s\u1ED1 k\u00FD t\u1EF1 s\u1EBD kh\u00F4ng hi\u1EC3n th\u1ECB ho\u1EB7c kh\u00F4ng hi\u1EC3n th\u1ECB ch\u00EDnh x\u00E1c."}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/FontWarnings.js");
diff --git a/localization/vi/HTML-CSS.js b/localization/vi/HTML-CSS.js
new file mode 100644
index 000000000..773b6033a
--- /dev/null
+++ b/localization/vi/HTML-CSS.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/vi/HTML-CSS.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("vi","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u0110ang t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",CantLoadWebFont:"Kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",FirefoxCantLoadWebFont:"Firefox kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web t\u1EEB m\u1ED9t m\u00E1y ch\u1EE7 t\u1EEB xa",CantFindFontUsing:"Kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF h\u1EE3p l\u1EC7 d\u00F9ng %1",WebFontsNotAvailable:"Ph\u00F4ng ch\u1EEF Web kh\u00F4ng c\u00F3 s\u1EB5n; \u0111ang s\u1EED d\u1EE5ng ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh thay th\u1EBF"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HTML-CSS.js");
diff --git a/localization/vi/HelpDialog.js b/localization/vi/HelpDialog.js
new file mode 100644
index 000000000..364d7a952
--- /dev/null
+++ b/localization/vi/HelpDialog.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/vi/HelpDialog.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("vi","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"Tr\u1EE3 gi\u00FAp MathJax",MathJax:"*MathJax* l\u00E0 m\u1ED9t th\u01B0 vi\u1EC7n JavaScript cho ph\u00E9p c\u00E1c t\u00E1c gi\u1EA3 nh\u00FAng c\u00F4ng th\u1EE9c to\u00E1n h\u1ECDc v\u00E0o trang Web. C\u00E1c \u0111\u1ED9c gi\u1EA3 nh\u01B0 b\u1EA1n kh\u00F4ng c\u1EA7n l\u00E0m th\u00EAm g\u00EC \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc.",Browsers:"*Tr\u00ECnh duy\u1EC7t*: MathJax t\u01B0\u01A1ng th\u00EDch v\u1EDBi t\u1EA5t c\u1EA3 c\u00E1c tr\u00ECnh duy\u1EC7t \u0111\u1EDDi m\u1EDBi, bao g\u1ED3m IE 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+, v\u00E0 ph\u1EA7n nhi\u1EC1u tr\u00ECnh duy\u1EC7t di \u0111\u1ED9ng.",Menu:"*Tr\u00ECnh \u0111\u01A1n To\u00E1n h\u1ECDc*: MathJax th\u00EAm m\u1ED9t tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh v\u00E0o c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh. Nh\u1EA5n chu\u1ED9t ph\u1EA3i ho\u1EB7c nh\u1EA5n gi\u1EEF Ctrl v\u00E0 nh\u1EA5n chu\u1ED9t tr\u00E1i \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n n\u00E0y.",ShowMath:"*Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng* cho ph\u00E9p xem v\u00E0 ch\u00E9p d\u00E1n m\u00E3 ngu\u1ED3n c\u1EE7a ph\u01B0\u01A1ng tr\u00ECnh (d\u01B0\u1EDBi d\u1EA1ng MathML ho\u1EB7c \u0111\u1ECBnh d\u1EA1ng g\u1ED1c).",Settings:"*T\u00F9y ch\u1ECDn To\u00E1n* cho ph\u00E9p \u0111i\u1EC1u khi\u1EC3n c\u00E1c t\u00EDnh n\u0103ng c\u1EE7a MathJax, th\u00ED d\u1EE5 nh\u01B0 k\u00EDch th\u01B0\u1EDBc k\u00FD t\u1EF1 to\u00E1n h\u1ECDc, c\u0169ng nh\u01B0 ph\u01B0\u01A1ng ph\u00E1p hi\u1EC3n th\u1ECB c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh.",Language:"*Ng\u00F4n ng\u1EEF* cho ph\u00E9p l\u1EF1a ch\u1ECDn ng\u00F4n ng\u1EEF cho c\u00E1c tr\u00ECnh \u0111\u01A1n v\u00E0 th\u00F4ng \u0111i\u1EC7p trong MathJax.",Zoom:"*Ph\u00F3ng to*: N\u1EBFu b\u1EA1n c\u1EA3m th\u1EA5y kh\u00F3 \u0111\u1ECDc m\u1ED9t ph\u01B0\u01A1ng tr\u00ECnh, MathJax c\u00F3 th\u1EC3 ph\u00F3ng to n\u00F3 \u0111\u1EC3 gi\u00FAp b\u1EA1n th\u1EA5y r\u00F5 h\u01A1n.",Accessibilty:"*Tr\u1EE3 n\u0103ng*: MathJax t\u1EF1 \u0111\u1ED9ng t\u00E1c \u0111\u1ED9ng v\u1EDBi c\u00E1c tr\u00ECnh \u0111\u1ECDc m\u00E0n h\u00ECnh \u0111\u1EC3 gi\u00FAp ng\u01B0\u1EDDi m\u00F9 l\u00F2a truy c\u1EADp to\u00E1n h\u1ECDc.",Fonts:"*Ph\u00F4ng ch\u1EEF*: MathJax s\u1EED d\u1EE5ng m\u1ED9t s\u1ED1 ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc n\u1EBFu \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t tr\u00EAn m\u00E1y c\u1EE7a b\u1EA1n; n\u1EBFu kh\u00F4ng, n\u00F3 t\u1EA3i c\u00E1c ph\u00F4ng ch\u1EEF Web. B\u1EA1n c\u00F3 th\u1EC3 (nh\u01B0ng kh\u00F4ng c\u1EA7n ph\u1EA3i) c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF v\u00E0o m\u00E1y \u0111\u1EC3 t\u0103ng t\u1ED1c \u0111\u1ED9 s\u1EAFp ch\u1EEF. Ch\u00FAng t\u00F4i khuy\u1EBFn kh\u00EDch c\u00E0i \u0111\u1EB7t c\u00E1c [ph\u00F4ng ch\u1EEF STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HelpDialog.js");
diff --git a/localization/vi/MathML.js b/localization/vi/MathML.js
new file mode 100644
index 000000000..bd80a9e93
--- /dev/null
+++ b/localization/vi/MathML.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/vi/MathML.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("vi","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"mglyph h\u1ECFng: %1",BadMglyphFont:"Ph\u00F4ng ch\u1EEF h\u1ECFng: %1",MathPlayer:"MathJax kh\u00F4ng th\u1EC3 thi\u1EBFt l\u1EADp MathPlayer.\n\nN\u1EBFu MathPlayer ch\u01B0a \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t, b\u1EA1n c\u1EA7n ph\u1EA3i c\u00E0i \u0111\u1EB7t n\u00F3 tr\u01B0\u1EDBc ti\u00EAn.\nN\u1EBFu kh\u00F4ng, c\u00E1c t\u00F9y ch\u1ECDn b\u1EA3o m\u1EADt c\u1EE7a b\u1EA1n c\u00F3 th\u1EC3 ng\u0103n tr\u1EDF c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m c\u00E1c h\u1ED9p \u201CCh\u1EA1y \u0111i\u1EC1u khi\u1EC3n ActiveX\u201D v\u00E0 \u201CH\u00E0nh vi nh\u1ECB ph\u00E2n v\u00E0 k\u1ECBch b\u1EA3n\u201D.\n\nHi\u1EC7n t\u1EA1i b\u1EA1n s\u1EBD g\u1EB7p c\u00E1c th\u00F4ng b\u00E1o l\u1ED7i thay v\u00EC to\u00E1n h\u1ECDc \u0111\u01B0\u1EE3c k\u1EBFt xu\u1EA5t.",CantCreateXMLParser:"MathJax kh\u00F4ng th\u1EC3 t\u1EA1o ra b\u1ED9 ph\u00E2n t\u00EDch XML cho MathML. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m h\u1ED9p \u201CScript c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX \u0111\u01B0\u1EE3c \u0111\u00E1nh d\u1EA5u l\u00E0 an to\u00E0n\u201D.\n\nMathJax s\u1EBD kh\u00F4ng th\u1EC3 x\u1EED l\u00FD c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh MathML.",UnknownNodeType:"Ki\u1EC3u n\u00FAt kh\u00F4ng r\u00F5: %1",UnexpectedTextNode:"N\u00FAt v\u0103n b\u1EA3n b\u1EA5t ng\u1EEB: %1",ErrorParsingMathML:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML",ParsingError:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML: %1",MathMLSingleElement:"MathML ph\u1EA3i ch\u1EC9 c\u00F3 m\u1ED9t ph\u1EA7n t\u1EED g\u1ED1c",MathMLRootElement:"Ph\u1EA7n t\u1EED g\u1ED1c c\u1EE7a MathML ph\u1EA3i l\u00E0 \u003Cmath\u003E, ch\u1EE9 kh\u00F4ng ph\u1EA3i %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathML.js");
diff --git a/localization/vi/MathMenu.js b/localization/vi/MathMenu.js
new file mode 100644
index 000000000..8fe52f65b
--- /dev/null
+++ b/localization/vi/MathMenu.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/vi/MathMenu.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("vi","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng",MathMLcode:"M\u00E3 ngu\u1ED3n MathML",OriginalMathML:"MathML G\u1ED1c",TeXCommands:"L\u1EC7nh TeX",AsciiMathInput:"\u0110\u1EA7u v\u00E0o AsciiMathML",Original:"H\u00ECnh th\u1EE9c G\u1ED1c",ErrorMessage:"Th\u00F4ng b\u00E1o L\u1ED7i",Annotation:"Ch\u00FA th\u00EDch",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML N\u1ED9i dung",OpenMath:"OpenMath",texHints:"Xem g\u1EE3i \u00FD TeX trong MathML",Settings:"T\u00F9y ch\u1ECDn To\u00E1n",ZoomTrigger:"H\u00E0nh \u0111\u1ED9ng Ph\u00F3ng to",Hover:"R\u00EA chu\u1ED9t",Click:"Nh\u1EA5n chu\u1ED9t",DoubleClick:"Nh\u1EA5n \u0111\u00FAp chu\u1ED9t",NoZoom:"Kh\u00F4ng ph\u00F3ng to",TriggerRequires:"Ch\u1EC9 khi B\u1EA5m gi\u1EEF:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"T\u1EF7 l\u1EC7 Ph\u00F3ng to",Renderer:"Ki\u1EC3u K\u1EBFt xu\u1EA5t To\u00E1n",MPHandles:"Cho ph\u00E9p MathPlayer X\u1EED l\u00FD:",MenuEvents:"S\u1EF1 ki\u1EC7n Tr\u00ECnh \u0111\u01A1n",MouseEvents:"S\u1EF1 ki\u1EC7n Chu\u1ED9t",MenuAndMouse:"S\u1EF1 ki\u1EC7n Chu\u1ED9t v\u00E0 Tr\u00ECnh \u0111\u01A1n",FontPrefs:"T\u00F9y ch\u1ECDn Ph\u00F4ng ch\u1EEF",ForHTMLCSS:"Cho HTML+CSS:",Auto:"T\u1EF1 \u0111\u1ED9ng",TeXLocal:"TeX (tr\u00EAn m\u00E1y)",TeXWeb:"TeX (tr\u00EAn Web)",TeXImage:"TeX (h\u00ECnh \u1EA3nh)",STIXLocal:"STIX (tr\u00EAn m\u00E1y)",STIXWeb:"STIX (tr\u00EAn Web)",AsanaMathWeb:"Asana Math (tr\u00EAn Web)",GyrePagellaWeb:"Gyre Pagella (tr\u00EAn Web)",GyreTermesWeb:"Gyre Termes (tr\u00EAn Web)",LatinModernWeb:"Latinh Modern (tr\u00EAn Web)",NeoEulerWeb:"Neo Euler (tr\u00EAn Web)",ContextMenu:"Tr\u00ECnh \u0111\u01A1n Ng\u1EEF c\u1EA3nh",Browser:"Tr\u00ECnh duy\u1EC7t",Scale:"Ph\u00F3ng to T\u1EA5t c\u1EA3 To\u00E1n\u2026",Discoverable:"T\u00F4 s\u00E1ng khi R\u00EA chu\u1ED9t",Locale:"Ng\u00F4n ng\u1EEF",LoadLocale:"T\u1EA3i t\u1EEB URL\u2026",About:"Gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",Help:"Tr\u1EE3 gi\u00FAp MathJax",localTeXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF TeX tr\u00EAn m\u00E1y",webTeXfonts:"d\u00F9ng ph\u00F4ng ch\u1EEF TeX tr\u00EAn Web",imagefonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh",localSTIXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF STIX tr\u00EAn m\u00E1y",webSVGfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF SVG tr\u00EAn Web",genericfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF Unicode chung",wofforotffonts:"Ph\u00F4ng ch\u1EEF WOFF ho\u1EB7c OTF",eotffonts:"Ph\u00F4ng ch\u1EEF EOT",svgfonts:"Ph\u00F4ng ch\u1EEF SVG",WebkitNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u00ECnh nh\u01B0 kh\u00F4ng h\u1ED7 tr\u1EE3 MathML l\u00E0 m\u1ED9t ng\u00F4n ng\u1EEF g\u1ED1c, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho kh\u00F4ng \u0111\u1ECDc \u0111\u01B0\u1EE3c c\u00E1c to\u00E1n tr\u00EAn trang.",MSIENativeMMLWarning:"Internet Explorer c\u1EA7n ph\u1EA7n b\u1ED5 sung MathPlayer \u0111\u1EC3 x\u1EED l\u00FD \u0111\u1EA7u ra MathML.",OperaNativeMMLWarning:"Opera kh\u00F4ng h\u1ED7 tr\u1EE3 MathML \u0111\u1EA7y \u0111\u1EE7, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c hi\u1EC3n th\u1ECB m\u1ED9t c\u00E1ch kh\u00F4ng ch\u00EDnh x\u00E1c.",SafariNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",FirefoxNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",MSIESVGWarning:"SVG kh\u00F4ng \u0111\u01B0\u1EE3c h\u1ED7 tr\u1EE3 trong Internet Explorer tr\u01B0\u1EDBc IE9 ho\u1EB7c khi gi\u1EA3 l\u1EADp IE8 tr\u1EDF xu\u1ED1ng. Vi\u1EC7c k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 hi\u1EC3n th\u1ECB SVG s\u1EBD l\u00E0m cho c\u00E1c to\u00E1n hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",LoadURL:"T\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB URL n\u00E0y:",BadURL:"URL ph\u1EA3i d\u1EABn \u0111\u1EBFn m\u1ED9t t\u1EADp tin JavaScript \u0111\u1ECBnh r\u00F5 d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch MathJax. C\u00E1c t\u00EAn t\u1EADp tin JavaScript ph\u1EA3i c\u00F3 \u201C.js\u201D \u0111\u1EB1ng sau.",BadData:"Th\u1EA5t b\u1EA1i khi t\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB %1",SwitchAnyway:"C\u1EE9 k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t n\u00E0y?\n\n(B\u1EA5m OK \u0111\u1EC3 k\u00EDch ho\u1EA1t, ho\u1EB7c Cancel \u0111\u1EC3 ti\u1EBFp t\u1EE5c s\u1EED d\u1EE5ng ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t hi\u1EC7n t\u1EA1i.)",ScaleMath:"Ph\u00F3ng to t\u1EA5t c\u1EA3 to\u00E1n (so v\u1EDBi v\u0103n b\u1EA3n n\u1EB1m chung quanh) b\u1EB1ng t\u1EF7 l\u1EC7:",NonZeroScale:"T\u1EF7 l\u1EC7 ph\u1EA3i kh\u00F4ng 0",PercentScale:"T\u1EF7 l\u1EC7 ph\u1EA3i l\u00E0 s\u1ED1 ph\u1EA7n tr\u0103m (th\u00ED d\u1EE5 120%%)",IE8warning:"Tr\u00ECnh \u0111\u01A1n MathJax v\u00E0 t\u00EDnh n\u0103ng ph\u00F3ng to s\u1EBD kh\u00F4ng c\u00F2n ho\u1EA1t \u0111\u1ED9ng. B\u1EA1n v\u1EABn c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.\n\nB\u1EA1n c\u00F3 ch\u1EAFc ch\u1EAFn mu\u1ED1n thay \u0111\u1ED5i t\u00F9y ch\u1ECDn MathPlayer?",IE9warning:"Tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh MathJax s\u1EBD b\u1ECB v\u00F4 hi\u1EC7u, nh\u01B0ng b\u1EA1n c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.",NoOriginalForm:"H\u00ECnh th\u1EE9c g\u1ED1c kh\u00F4ng c\u00F3 s\u1EB5n",Close:"\u0110\u00F3ng",EqSource:"M\u00E3 ngu\u1ED3n C\u00F4ng th\u1EE9c MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathMenu.js");
diff --git a/localization/vi/TeX.js b/localization/vi/TeX.js
new file mode 100644
index 000000000..980f320b5
--- /dev/null
+++ b/localization/vi/TeX.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/vi/TeX.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("vi","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"D\u1EA5u ngo\u1EB7c m\u1EDF c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c \u0111\u00F3ng b\u1ECB thi\u1EBFu",ExtraCloseMissingOpen:"D\u1EA5u ngo\u1EB7c \u0111\u00F3ng c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c m\u1EDF b\u1ECB thi\u1EBFu",MissingLeftExtraRight:"\\left b\u1ECB thi\u1EBFu ho\u1EB7c \\right d\u01B0",MissingScript:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 ch\u1EC9 s\u1ED1",ExtraLeftMissingRight:"\\left d\u01B0 ho\u1EB7c \\right b\u1ECB thi\u1EBFu",MissingOpenForSub:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi",MissingOpenForSup:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 tr\u00EAn",AmbiguousUseOf:"%1 \u0111\u01B0\u1EE3c s\u1EED d\u1EE5ng m\u1ED9t c\u00E1ch kh\u00F4ng r\u00F5 r\u00E0ng",EnvBadEnd:"\\begin{%1} k\u1EBFt th\u00FAc v\u1EDBi \\end{%2}",EnvMissingEnd:"Thi\u1EBFu \\end{%1}",MissingBoxFor:"Thi\u1EBFu h\u1ED9p cho %1",MissingCloseBrace:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u00F3ng",MisplacedMiddle:"%1 ph\u1EA3i n\u1EB1m gi\u1EEFa \\left v\u00E0 \\right",MisplacedLimits:"%1 ch\u1EC9 \u0111\u01B0\u1EE3c cho ph\u00E9p \u0111\u1ED1i v\u1EDBi ph\u00E9p to\u00E1n",MultipleCommand:"Nhi\u1EC1u %1",InvalidMathMLAttr:"Thu\u1ED9c t\u00EDnh MathML kh\u00F4ng h\u1EE3p l\u1EC7: %1",UnknownAttrForElement:"%1 kh\u00F4ng \u0111\u01B0\u1EE3c c\u00F4ng nh\u1EADn l\u00E0 thu\u1ED9c t\u00EDnh cho %2",MissingArgFor:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 cho %1",InvalidEnv:"T\u00EAn m\u00F4i tr\u01B0\u1EDDng \u201C%1\u201D kh\u00F4ng h\u1EE3p l\u1EC7",UnknownEnv:"M\u00F4i tr\u01B0\u1EDDng kh\u00F4ng r\u00F5 \u201C%1\u201D",TokenNotFoundForCommand:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 cho %2",CommandNotAllowedInEnv:"Kh\u00F4ng cho ph\u00E9p %1 trong m\u00F4i tr\u01B0\u1EDDng %2",MultipleLabel:"Nh\u00E3n \u201C%1\u201D \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 nhi\u1EC1u l\u1EA7n",CommandAtTheBeginingOfLine:"%1 ph\u1EA3i n\u1EB1m v\u00E0o \u0111\u1EA7u d\u00F2ng",MultipleBBoxProperty:"%1 \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 hai l\u1EA7n trong %2",InvalidDecimalNumber:"S\u1ED1 th\u1EADp ph\u00E2n kh\u00F4ng h\u1EE3p l\u1EC7",InvalidNumber:"S\u1ED1 kh\u00F4ng h\u1EE3p l\u1EC7",NoClosingChar:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 \u0111\u00F3ng"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/TeX.js");
diff --git a/localization/vi/vi.js b/localization/vi/vi.js
new file mode 100644
index 000000000..62ed72010
--- /dev/null
+++ b/localization/vi/vi.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax/localization/vi/vi.js
+ *
+ *  Copyright (c) 2009-2013 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Localization.addTranslation("vi",null,{menuTitle:"Ti\u1EBFng Vi\u1EC7t",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax \u0111\u00E3 t\u00ECm th\u1EA5y m\u1ED9t cookie thi\u1EBFt l\u1EADp c\u1EE7a ng\u01B0\u1EDDi d\u00F9ng c\u00F3 m\u00E3 ngu\u1ED3n \u0111\u1EC3 ch\u1EA1y. B\u1EA1n c\u00F3 mu\u1ED1n ch\u1EA1y n\u00F3?\n\n(Khuy\u00EAn b\u1EA1n b\u1EA5m H\u1EE7y b\u1ECF tr\u1EEB khi b\u1EA1n l\u00E0 ng\u01B0\u1EDDi thi\u1EBFt l\u1EADp cookie.)",MathProcessingError:"L\u1ED7i x\u1EED l\u00FD to\u00E1n",MathError:"L\u1ED7i to\u00E1n",LoadFile:"\u0110ang t\u1EA3i %1",Loading:"\u0110ang t\u1EA3i",LoadFailed:"Th\u1EA5t b\u1EA1i khi t\u1EA3i t\u1EADp tin: %1",ProcessMath:"\u0110ang x\u1EED l\u00FD to\u00E1n: %1%%",Processing:"\u0110ang x\u1EED l\u00FD",TypesetMath:"\u0110ang x\u1EBFp ch\u1EEF to\u00E1n: %1%%",Typesetting:"\u0110ang x\u1EBFp ch\u1EEF",MathJaxNotSupported:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n kh\u00F4ng h\u1ED7 tr\u1EE3 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/vi.js");
diff --git a/localization/zh-hans/FontWarnings.js b/localization/zh-hans/FontWarnings.js
index 704010939..e03249a09 100644
--- a/localization/zh-hans/FontWarnings.js
+++ b/localization/zh-hans/FontWarnings.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","FontWarnings",{version:"2.3",isLoaded:true,strings:{webFont:"MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002",imageFonts:"MathJax\u4F7F\u7528\u56FE\u50CF\u5B57\u4F53\u800C\u4E0D\u662F\u672C\u5730\u6216\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u3002\u8FD9\u5C06\u6BD4\u5E73\u5E38\u663E\u793A\u66F4\u6162\uFF0C\u4E14\u76F8\u5173\u6570\u5B66\u7B26\u53F7\u53EF\u80FD\u65E0\u6CD5\u5168\u606F\u7684\u88AB\u6253\u5370\u673A\u6253\u5370\u3002",noFonts:"MathJax\u65E0\u6CD5\u5B9A\u4F4D\u60A8\u4F7F\u7528\u4E2D\u7684\u5B57\u4F53\u4EE5\u663E\u793A\u6570\u5B66\u7B26\u53F7\uFF0C\u56FE\u50CF\u5B57\u4F53\u4EA6\u65E0\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6211\u4EEC\u4E0D\u5F97\u4E0D\u8C03\u7528Unicode\u5B57\u7B26\u4EE5\u663E\u793A\u4E4B\u3002\u67D0\u4E9B\u5B57\u7B26\u5C06\u65E0\u6CD5\u6B63\u786E\u663E\u793A\uFF0C\u4E43\u81F3\u5F7B\u5E95\u65E0\u6CD5\u663E\u793A\u3002",webFonts:"\u73B0\u65F6\u5927\u591A\u6570\u6D4F\u89C8\u5668\u5141\u8BB8\u901A\u8FC7\u4E92\u8054\u7F51\u4E0B\u8F7D\u5B57\u4F53\u3002\u66F4\u65B0\u60A8\u7684\u6D4F\u89C8\u5668\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u8005\u5E72\u8106\u66F4\u6362\u6D4F\u89C8\u5668\uFF09\u4EE5\u4FBF\u5728\u6B64\u9875\u9762\u63D0\u9AD8\u6570\u5B66\u7B26\u53F7\u7684\u663E\u793A\u8D28\u91CF\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216\u8005[MathJax TeX fonts](%2)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u8FD9\u4E9B\u5B57\u4F53\u4EE5\u6539\u5584\u60A8\u7684MathJax\u4F53\u9A8C\u3002",STIXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002",TeXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/FontWarnings.js");
+MathJax.Localization.addTranslation("zh-hans","FontWarnings",{version:"2.4-beta",isLoaded:true,strings:{webFont:"MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002",imageFonts:"MathJax\u4F7F\u7528\u56FE\u50CF\u5B57\u4F53\u800C\u4E0D\u662F\u672C\u5730\u6216\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u3002\u8FD9\u5C06\u6BD4\u5E73\u5E38\u663E\u793A\u66F4\u6162\uFF0C\u4E14\u76F8\u5173\u6570\u5B66\u7B26\u53F7\u53EF\u80FD\u65E0\u6CD5\u5168\u606F\u7684\u88AB\u6253\u5370\u673A\u6253\u5370\u3002",noFonts:"MathJax\u65E0\u6CD5\u5B9A\u4F4D\u60A8\u4F7F\u7528\u4E2D\u7684\u5B57\u4F53\u4EE5\u663E\u793A\u6570\u5B66\u7B26\u53F7\uFF0C\u56FE\u50CF\u5B57\u4F53\u4EA6\u65E0\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6211\u4EEC\u4E0D\u5F97\u4E0D\u8C03\u7528Unicode\u5B57\u7B26\u4EE5\u663E\u793A\u4E4B\u3002\u67D0\u4E9B\u5B57\u7B26\u5C06\u65E0\u6CD5\u6B63\u786E\u663E\u793A\uFF0C\u4E43\u81F3\u5F7B\u5E95\u65E0\u6CD5\u663E\u793A\u3002",webFonts:"\u73B0\u65F6\u5927\u591A\u6570\u6D4F\u89C8\u5668\u5141\u8BB8\u901A\u8FC7\u4E92\u8054\u7F51\u4E0B\u8F7D\u5B57\u4F53\u3002\u66F4\u65B0\u60A8\u7684\u6D4F\u89C8\u5668\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u8005\u5E72\u8106\u66F4\u6362\u6D4F\u89C8\u5668\uFF09\u4EE5\u4FBF\u5728\u6B64\u9875\u9762\u63D0\u9AD8\u6570\u5B66\u7B26\u53F7\u7684\u663E\u793A\u8D28\u91CF\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216\u8005[MathJax TeX fonts](%2)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u8FD9\u4E9B\u5B57\u4F53\u4EE5\u6539\u5584\u60A8\u7684MathJax\u4F53\u9A8C\u3002",STIXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002",TeXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/FontWarnings.js");
diff --git a/localization/zh-hans/HTML-CSS.js b/localization/zh-hans/HTML-CSS.js
index 4d72e38c5..175e1bb88 100644
--- a/localization/zh-hans/HTML-CSS.js
+++ b/localization/zh-hans/HTML-CSS.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{version:"2.3",isLoaded:true,strings:{LoadWebFont:"\u52A0\u8F7Dweb\u5B57\u4F53%1",CantLoadWebFont:"Web\u5B57\u4F53%1\u65E0\u6CD5\u52A0\u8F7D",FirefoxCantLoadWebFont:"\u60A8\u5728\u4F7F\u7528\u706B\u72D0\u6D4F\u89C8\u5668\uFF0C\u5979\u4E0D\u652F\u6301\u4ECE\u8FDC\u7A0B\u4E3B\u673A\u4E0B\u8F7D\u4EFB\u4F55web\u5B57\u4F53",CantFindFontUsing:"\u65E0\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u4F53",WebFontsNotAvailable:"Web\u5B57\u4F53\u4E0D\u77E5\u4E3A\u4F55\u65E0\u6CD5\u4F7F\u7528\uFF1F\uFF01\u2014\u2014\u6211\u4EEC\u5C06\u4E3A\u9601\u4E0B\u8F6C\u6362\u4E3A\u56FE\u7247\u5B57\u4F53"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HTML-CSS.js");
+MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{version:"2.4-beta",isLoaded:true,strings:{LoadWebFont:"\u52A0\u8F7Dweb\u5B57\u4F53%1",CantLoadWebFont:"Web\u5B57\u4F53%1\u65E0\u6CD5\u52A0\u8F7D",FirefoxCantLoadWebFont:"\u60A8\u5728\u4F7F\u7528\u706B\u72D0\u6D4F\u89C8\u5668\uFF0C\u5979\u4E0D\u652F\u6301\u4ECE\u8FDC\u7A0B\u4E3B\u673A\u4E0B\u8F7D\u4EFB\u4F55web\u5B57\u4F53",CantFindFontUsing:"\u65E0\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u4F53",WebFontsNotAvailable:"Web\u5B57\u4F53\u4E0D\u77E5\u4E3A\u4F55\u65E0\u6CD5\u4F7F\u7528\uFF1F\uFF01\u2014\u2014\u6211\u4EEC\u5C06\u4E3A\u9601\u4E0B\u8F6C\u6362\u4E3A\u56FE\u7247\u5B57\u4F53"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HTML-CSS.js");
diff --git a/localization/zh-hans/HelpDialog.js b/localization/zh-hans/HelpDialog.js
index 3ae41bdf3..221ae80e9 100644
--- a/localization/zh-hans/HelpDialog.js
+++ b/localization/zh-hans/HelpDialog.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","HelpDialog",{version:"2.3",isLoaded:true,strings:{Help:"MathJax\u5E2E\u52A9",MathJax:"*MathJax*\u662F\u4E00\u79CD\u8BA9\u7F51\u9875\u5236\u4F5C\u8005\u5F80\u7F51\u9875\u4E2D\u52A0\u5165\u6570\u5B66\u5F0F\u7684JavaScript\u8FD0\u884C\u5E93\u3002\u4F5C\u4E3A\u8BBF\u95EE\u8005\uFF0C\u60A8\u6CA1\u6709\u5FC5\u8981\u505A\u4EFB\u4F55\u4E8B\u60C5\u3002",Browsers:"*\u6D4F\u89C8\u5668*\uFF1AMathJax\u53EF\u4EE5\u5728\u6240\u6709\u8F83\u65B0\u6D4F\u89C8\u5668\u4E0A\u5DE5\u4F5C\uFF0C\u5305\u62ECIE6+\u3001Firefox 3+\u3001Chrome 0.2+\u3001Safari 2+\u3001Opera 9.6+\u548C\u5927\u591A\u6570\u79FB\u52A8\u6D4F\u89C8\u5668\u3002",Menu:"*\u6570\u5F0F\u83DC\u5355*\uFF1AMathJax\u7ED9\u6570\u5F0F\u6DFB\u52A0\u4E86\u5FEB\u6377\u83DC\u5355\u3002\u53F3\u952E\u6216\u6309Ctrl\u7136\u540E\u70B9\u51FB\u4EFB\u4F55\u6570\u5F0F\u5373\u53EF\u8FDB\u5165\u83DC\u5355\u3002",ShowMath:"*\u6570\u5F0F\u663E\u793A\u5F62\u5F0F*\u5141\u8BB8\u60A8\u6D4F\u89C8\u516C\u5F0F\u7684\u6E90\u4EE3\u7801\u4EE5\u4FBF\u590D\u5236\u7C98\u8D34\uFF08\u4EE5\u539F\u59CB\u5F62\u5F0F\u6216MathML\uFF09\u3002",Settings:"*\u6570\u5B66\u8BBE\u7F6E*\u91CC\u60A8\u60A8\u53EF\u4EE5\u8C03\u6574MathJax\u7684\u5404\u79CD\u529F\u80FD\uFF0C\u6BD4\u5982\u8BF4\u6570\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u663E\u793A\u7B49\u5F0F\u7684\u673A\u7406\u3002",Language:"*\u8BED\u8A00*\u7ED9\u60A8\u9009\u62E9MathJax\u7528\u4F5C\u83DC\u5355\u548C\u8B66\u544A\u4FE1\u606F\u7684\u8BED\u8A00\u3002",Zoom:"*\u6570\u5F0F\u7F29\u653E*\uFF1A\u5982\u679C\u60A8\u6D4F\u89C8\u7B49\u5F0F\u65F6\u9047\u5230\u56F0\u96BE\uFF0CMathJax\u53EF\u4EE5\u5C06\u5176\u653E\u5927\u6765\u4F7F\u60A8\u83B7\u5F97\u66F4\u597D\u7684\u4F53\u9A8C\u3002",Accessibilty:"*\u8F85\u52A9\u529F\u80FD*\uFF1AMathJax\u4F1A\u81EA\u52A8\u4E0E\u8BBF\u95EE\u8005\u4EA4\u4E92\u4F7F\u89C6\u89C9\u969C\u788D\u8005\u7406\u89E3\u6570\u5F0F\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u4F53*\uFF1AMathJax\u5C06\u4F1A\u4F7F\u7528\u60A8\u7535\u8111\u4E0A\u5B89\u88C5\u7684\u67D0\u4E9B\u6570\u5F0F\u5B57\u4F53\u6765\u663E\u793A\u6570\u5F0F\uFF1B\u5982\u679C\u6CA1\u6709\u5B89\u88C5\u7684\u8BDD\uFF0C\u5B83\u5C06\u4F7F\u7528\u7F51\u7EDC\u4E0A\u7684\u5B57\u4F53\u3002\u867D\u7136\u5E76\u975E\u5FC5\u8981\uFF0C\u4F46\u662F\u5C06\u8FD9\u4E9B\u5B57\u4F53\u5B89\u88C5\u5230\u672C\u5730\u80FD\u52A0\u901F\u6570\u5F0F\u7684\u663E\u793A\u3002\u6211\u4EEC\u5EFA\u8BAE\u60A8\u5B89\u88C5[STIX fonts](%1)\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HelpDialog.js");
+MathJax.Localization.addTranslation("zh-hans","HelpDialog",{version:"2.4-beta",isLoaded:true,strings:{Help:"MathJax\u5E2E\u52A9",MathJax:"*MathJax*\u662F\u4E00\u79CD\u8BA9\u7F51\u9875\u5236\u4F5C\u8005\u5F80\u7F51\u9875\u4E2D\u52A0\u5165\u6570\u5B66\u5F0F\u7684JavaScript\u8FD0\u884C\u5E93\u3002\u4F5C\u4E3A\u8BBF\u95EE\u8005\uFF0C\u60A8\u6CA1\u6709\u5FC5\u8981\u505A\u4EFB\u4F55\u4E8B\u60C5\u3002",Browsers:"*\u6D4F\u89C8\u5668*\uFF1AMathJax\u53EF\u4EE5\u5728\u6240\u6709\u8F83\u65B0\u6D4F\u89C8\u5668\u4E0A\u5DE5\u4F5C\uFF0C\u5305\u62ECIE6+\u3001Firefox 3+\u3001Chrome 0.2+\u3001Safari 2+\u3001Opera 9.6+\u548C\u5927\u591A\u6570\u79FB\u52A8\u6D4F\u89C8\u5668\u3002",Menu:"*\u6570\u5F0F\u83DC\u5355*\uFF1AMathJax\u7ED9\u6570\u5F0F\u6DFB\u52A0\u4E86\u5FEB\u6377\u83DC\u5355\u3002\u53F3\u952E\u6216\u6309Ctrl\u7136\u540E\u70B9\u51FB\u4EFB\u4F55\u6570\u5F0F\u5373\u53EF\u8FDB\u5165\u83DC\u5355\u3002",ShowMath:"*\u6570\u5F0F\u663E\u793A\u5F62\u5F0F*\u5141\u8BB8\u60A8\u6D4F\u89C8\u516C\u5F0F\u7684\u6E90\u4EE3\u7801\u4EE5\u4FBF\u590D\u5236\u7C98\u8D34\uFF08\u4EE5\u539F\u59CB\u5F62\u5F0F\u6216MathML\uFF09\u3002",Settings:"*\u6570\u5B66\u8BBE\u7F6E*\u91CC\u60A8\u60A8\u53EF\u4EE5\u8C03\u6574MathJax\u7684\u5404\u79CD\u529F\u80FD\uFF0C\u6BD4\u5982\u8BF4\u6570\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u663E\u793A\u7B49\u5F0F\u7684\u673A\u7406\u3002",Language:"*\u8BED\u8A00*\u7ED9\u60A8\u9009\u62E9MathJax\u7528\u4F5C\u83DC\u5355\u548C\u8B66\u544A\u4FE1\u606F\u7684\u8BED\u8A00\u3002",Zoom:"*\u6570\u5F0F\u7F29\u653E*\uFF1A\u5982\u679C\u60A8\u6D4F\u89C8\u7B49\u5F0F\u65F6\u9047\u5230\u56F0\u96BE\uFF0CMathJax\u53EF\u4EE5\u5C06\u5176\u653E\u5927\u6765\u4F7F\u60A8\u83B7\u5F97\u66F4\u597D\u7684\u4F53\u9A8C\u3002",Accessibilty:"*\u8F85\u52A9\u529F\u80FD*\uFF1AMathJax\u4F1A\u81EA\u52A8\u4E0E\u8BBF\u95EE\u8005\u4EA4\u4E92\u4F7F\u89C6\u89C9\u969C\u788D\u8005\u7406\u89E3\u6570\u5F0F\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u4F53*\uFF1AMathJax\u5C06\u4F1A\u4F7F\u7528\u60A8\u7535\u8111\u4E0A\u5B89\u88C5\u7684\u67D0\u4E9B\u6570\u5F0F\u5B57\u4F53\u6765\u663E\u793A\u6570\u5F0F\uFF1B\u5982\u679C\u6CA1\u6709\u5B89\u88C5\u7684\u8BDD\uFF0C\u5B83\u5C06\u4F7F\u7528\u7F51\u7EDC\u4E0A\u7684\u5B57\u4F53\u3002\u867D\u7136\u5E76\u975E\u5FC5\u8981\uFF0C\u4F46\u662F\u5C06\u8FD9\u4E9B\u5B57\u4F53\u5B89\u88C5\u5230\u672C\u5730\u80FD\u52A0\u901F\u6570\u5F0F\u7684\u663E\u793A\u3002\u6211\u4EEC\u5EFA\u8BAE\u60A8\u5B89\u88C5[STIX fonts](%1)\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HelpDialog.js");
diff --git a/localization/zh-hans/MathML.js b/localization/zh-hans/MathML.js
index 572ed4334..f98f02711 100644
--- a/localization/zh-hans/MathML.js
+++ b/localization/zh-hans/MathML.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","MathML",{version:"2.3",isLoaded:true,strings:{BadMglyph:"\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1",BadMglyphFont:"\u9519\u8BEF\u5B57\u4F53\uFF1A%1",UnknownNodeType:"\u672A\u77E5\u7684\u8282\u70B9\u7C7B\u578B\uFF1A%1",UnexpectedTextNode:"\u610F\u5916\u7684\u6587\u672C\u8282\u70B9\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u65F6\u51FA\u9519",ParsingError:"\u89E3\u6790MathML\u65F6\u51FA\u9519\uFF1A%1",MathPlayer:"MathJax\u65E0\u6CD5\u542F\u7528MathPlayer\u3002\n\n\u5982\u679C\u8FD8\u6CA1\u6709\u5B89\u88C5MathPlayer\uFF0C\u60A8\u5FC5\u987B\u5148\u5B89\u88C5MathPlayer\u3002\n\u5982\u679C\u60A8\u7684\u5B89\u5168\u8BBE\u7F6E\u6709\u53EF\u80FD\u4F1A\u963B\u6B62ActiveX\u7684\u8FD0\u884C\uFF0C\u8BF7\u5728\n\u5DE5\u5177\u83DC\u5355\u4E0B\u7684Internet \u9009\u9879\u4E2D\u9009\u62E9\u5B89\u5168\u6807\u7B7E\u7136\u540E\u70B9\u51FB\n\u81EA\u5B9A\u4E49\u7EA7\u522B\uFF0C\u68C0\u67E5\n\u201C\u4E8C\u8FDB\u5236\u6587\u4EF6\u548C\u811A\u672C\u884C\u4E3A\u201D\u548C\u201C\u8FD0\u884C ActiveX \u63A7\u4EF6\u201D\n\u662F\u5426\u5DF2\u542F\u7528\u3002\n\n\u76EE\u524D\u60A8\u770B\u5230\u7684\u53EA\u80FD\u662F\u9519\u8BEF\u4FE1\u606F\u800C\u975E\u6392\u7248\u6570\u5F0F\u3002",CantCreateXMLParser:"MathJax\u65E0\u6CD5\u4E3AMathML\u521B\u5EFAXML\u89E3\u6790\u5668\u3002\u8BF7\u68C0\u67E5\u5B89\u5168\u8BBE\u7F6E\n\u201C\u5BF9\u6807\u8BB0\u4E3A\u53EF\u5B89\u5168\u6267\u884C\u811A\u672C\u7684 Active \u63A7\u4EF6\u6267\u884C\u811A\u672C\u201D\n\u662F\u5426\u5DF2\u5F00\u542F\uFF08\u5728\u5DE5\u5177\u4E2D\u5F00\u542FInternet \u9009\u9879\u7136\u540E\u9009\u62E9\u5B89\u5168\n\u9762\u677F\uFF0C\u70B9\u81EA\u5B9A\u4E49\u7EA7\u522B\u6309\u94AE\u627E\u5230\u8FD9\u4E2A\u9009\u9879\u5E76\u5F00\u542F\uFF09\u3002\n\nMathJax\u5C06\u65E0\u6CD5\u5904\u7406MathML\u7B49\u5F0F\u3002",MathMLSingleElement:"MathML\u5FC5\u987B\u7528\u5355\u4E2A\u5143\u7D20\u5EFA\u7ACB",MathMLRootElement:"MathML\u5FC5\u987B\u7528\u003Cmath\u003E\u5143\u7D20\u5EFA\u7ACB\uFF0C\u800C\u4E0D\u662F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathML.js");
+MathJax.Localization.addTranslation("zh-hans","MathML",{version:"2.4-beta",isLoaded:true,strings:{BadMglyph:"\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1",BadMglyphFont:"\u9519\u8BEF\u5B57\u4F53\uFF1A%1",MathPlayer:"MathJax\u65E0\u6CD5\u542F\u7528MathPlayer\u3002\n\n\u5982\u679C\u8FD8\u6CA1\u6709\u5B89\u88C5MathPlayer\uFF0C\u60A8\u5FC5\u987B\u5148\u5B89\u88C5MathPlayer\u3002\n\u5982\u679C\u60A8\u7684\u5B89\u5168\u8BBE\u7F6E\u6709\u53EF\u80FD\u4F1A\u963B\u6B62ActiveX\u7684\u8FD0\u884C\uFF0C\u8BF7\u5728\n\u5DE5\u5177\u83DC\u5355\u4E0B\u7684Internet \u9009\u9879\u4E2D\u9009\u62E9\u5B89\u5168\u6807\u7B7E\u7136\u540E\u70B9\u51FB\n\u81EA\u5B9A\u4E49\u7EA7\u522B\uFF0C\u68C0\u67E5\n\u201C\u4E8C\u8FDB\u5236\u6587\u4EF6\u548C\u811A\u672C\u884C\u4E3A\u201D\u548C\u201C\u8FD0\u884C ActiveX \u63A7\u4EF6\u201D\n\u662F\u5426\u5DF2\u542F\u7528\u3002\n\n\u76EE\u524D\u60A8\u770B\u5230\u7684\u53EA\u80FD\u662F\u9519\u8BEF\u4FE1\u606F\u800C\u975E\u6392\u7248\u6570\u5F0F\u3002",CantCreateXMLParser:"MathJax\u65E0\u6CD5\u4E3AMathML\u521B\u5EFAXML\u89E3\u6790\u5668\u3002\u8BF7\u68C0\u67E5\u5B89\u5168\u8BBE\u7F6E\n\u201C\u5BF9\u6807\u8BB0\u4E3A\u53EF\u5B89\u5168\u6267\u884C\u811A\u672C\u7684 Active \u63A7\u4EF6\u6267\u884C\u811A\u672C\u201D\n\u662F\u5426\u5DF2\u5F00\u542F\uFF08\u5728\u5DE5\u5177\u4E2D\u5F00\u542FInternet \u9009\u9879\u7136\u540E\u9009\u62E9\u5B89\u5168\n\u9762\u677F\uFF0C\u70B9\u81EA\u5B9A\u4E49\u7EA7\u522B\u6309\u94AE\u627E\u5230\u8FD9\u4E2A\u9009\u9879\u5E76\u5F00\u542F\uFF09\u3002\n\nMathJax\u5C06\u65E0\u6CD5\u5904\u7406MathML\u7B49\u5F0F\u3002",UnknownNodeType:"\u672A\u77E5\u7684\u8282\u70B9\u7C7B\u578B\uFF1A%1",UnexpectedTextNode:"\u610F\u5916\u7684\u6587\u672C\u8282\u70B9\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u65F6\u51FA\u9519",ParsingError:"\u89E3\u6790MathML\u65F6\u51FA\u9519\uFF1A%1",MathMLSingleElement:"MathML\u5FC5\u987B\u7528\u5355\u4E2A\u5143\u7D20\u5EFA\u7ACB",MathMLRootElement:"MathML\u5FC5\u987B\u7528\u003Cmath\u003E\u5143\u7D20\u5EFA\u7ACB\uFF0C\u800C\u4E0D\u662F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathML.js");
diff --git a/localization/zh-hans/MathMenu.js b/localization/zh-hans/MathMenu.js
index 6100ebcd0..e98c922b3 100644
--- a/localization/zh-hans/MathMenu.js
+++ b/localization/zh-hans/MathMenu.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","MathMenu",{version:"2.3",isLoaded:true,strings:{Show:"\u6570\u5F0F\u663E\u793A\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u7801",OriginalMathML:"\u539F\u59CB\u7684MathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F93\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u9519\u8BEF\u4FE1\u606F",Annotation:"\u6CE8\u91CA",TeX:"TeX",StarMath:"StarMath",Maple:"\u67AB\u53F6",ContentMathML:"MathML\u5185\u5BB9",OpenMath:"\u5F00\u6E90\u6570\u5B66",texHints:"\u5728MathML\u4E2D\u663E\u793ATeX\u63D0\u793A",Settings:"\u6570\u5B66\u8BBE\u7F6E",ZoomTrigger:"\u7F29\u653E\u89E6\u53D1",Hover:"\u6307\u9488\u60AC\u505C",Click:"\u70B9\u51FB",DoubleClick:"\u53CC\u51FB",NoZoom:"\u5E76\u65E0\u7F29\u653E",TriggerRequires:"\u89E6\u53D1\u9700\u8981\uFF1A",Option:"\u9009\u9879",Alt:"Alt\u952E",Command:"Command\u952E",Control:"Ctrl\u952E",Shift:"Shift\u952E",ZoomFactor:"\u53D8\u7126\u500D\u7387",Renderer:"\u6570\u5B66\u6E32\u67D3",MPHandles:"\u5141\u8BB8MathPlayer\u5904\u7406\uFF1A",MenuEvents:"\u83DC\u5355\u4E8B\u4EF6",MouseEvents:"\u9F20\u6807\u4E8B\u4EF6",MenuAndMouse:"\u9F20\u6807\u548C\u83DC\u5355\u4E8B\u4EF6",FontPrefs:"\u5B57\u4F53\u8BBE\u7F6E",ForHTMLCSS:"\u7528\u4E8EHTML-CSS\uFF1A",Auto:"\u81EA\u52A8",TeXLocal:"TeX\uFF08\u672C\u5730\uFF09",TeXWeb:"TeX\uFF08\u7F51\u9875\uFF09",TeXImage:"TeX\uFF08\u56FE\u7247\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u83DC\u5355",Browser:"\u6D4F\u89C8\u5668",Scale:"\u7F29\u653E\u6240\u6709\u6570\u5B66...",Discoverable:"\u60AC\u505C\u4EAE\u70B9",Locale:"\u8BED\u8A00",LoadLocale:"\u4ECEURL\u8F7D\u5165...",About:"\u5173\u4E8EMathJax",Help:"MathJax\u5E2E\u52A9",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u4F53",webTeXfonts:"\u4F7F\u7528\u7F51\u9875TeX\u5B57\u4F53",imagefonts:"\u56FE\u50CF\u5B57\u4F53\u4F7F\u7528\u4E2D",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u4F53",webSVGfonts:"\u4F7F\u7528\u7F51\u9875SVG\u5B57\u4F53",genericfonts:"\u4F7F\u7528\u901A\u7528Unicode\u5B57\u4F53",wofforotffonts:"woff\u6216otf\u5B57\u4F53",eotffonts:"eot\u5B57\u4F53",svgfonts:"svg\u5B57\u4F53",WebkitNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u636E\u4FE1\u65E0\u6CD5\u652F\u6301MathML\u672C\u8EAB\uFF0C\u56E0\u6B64\u5207\u6362\u5230MathML\u8F93\u51FA\u5C06\u53EF\u80FD\u5BFC\u81F4\u9875\u9762\u4E0A\u7684\u6570\u5B66\u516C\u5F0F\u4E0D\u53EF\u8BFB\u3002",NonZeroScale:"\u500D\u7387\u4E0D\u5E94\u4E3A\u96F6",PercentScale:"\u500D\u7387\u5E94\u8BE5\u662F\u4E00\u4E2A\u767E\u5206\u6BD4 \uFF08\u4F8B\u5982120%%\uFF09",NoOriginalForm:"\u6CA1\u6709\u53EF\u7528\u7684\u539F\u59CB\u5F62\u5F0F",Close:"\u5173\u95ED",EqSource:"MathJax \u65B9\u7A0B\u6E90",MSIENativeMMLWarning:"Internet Explorer\u9700\u8981MathPlayer\u63D2\u4EF6\u6765\u5904\u7406MathML\u8F93\u51FA\u3002",OperaNativeMMLWarning:"Opera\u5BF9MathML\u7684\u652F\u6301\u5341\u5206\u6709\u9650\uFF0C\u56E0\u6B64\u8F6C\u6362\u81F3MathML\u8F93\u51FA\u53EF\u80FD\u4F1A\u5BFC\u81F4\u4E00\u4E9B\u8868\u8FBE\u5F0F\u65E0\u6CD5\u6B63\u5E38\u6E32\u67D3\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",LoadURL:"\u4ECE\u6B64URL\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\uFF1A",BadURL:"URL\u5FC5\u987B\u94FE\u81F3\u5B9A\u4E49MathJax\u7FFB\u8BD1\u6570\u636E\u7684JavaScript\u6587\u4EF6\u3002JavaScript\u7684\u6587\u4EF6\u540D\u5E94\u4EE5\u201C.js\u201D\u7ED3\u5C3E",BadData:"\u4ECE%1\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\u5931\u8D25",SwitchAnyway:"\u4E00\u5B9A\u8981\u66F4\u6539\u6E32\u67D3\u5668\uFF1F\n\n\uFF08\u70B9OK\u66F4\u6539\uFF0C\u70B9\u53D6\u6D88\u5373\u4EE5\u5F53\u524D\u6E32\u67D3\u5668\u7EE7\u7EED\uFF09",ScaleMath:"\u6570\u5F0F\u7F29\u653E\u767E\u5206\u6BD4\uFF08\u5BF9\u6BD4\u4E8E\u65C1\u8FB9\u7684\u6587\u5B57\uFF09",IE8warning:"\u8FD9\u5C06\u5173\u95EDMathJax\u83DC\u5355\u4E0E\u7F29\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u70B9\u51FBAlt-Click\u6216\u70B9\u51FB\u4E00\u4E2A\u8868\u8FBE\u5F0F\u6765\u8FDB\u5165MathJax\u83DC\u5355\u3002\n\n\u786E\u5B9E\u8981\u66F4\u6539MathPlayer\u8BBE\u7F6E\u5417\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u83DC\u5355\u5C06\u5173\u95ED\uFF0C\u4F46\u60A8\u53EF\u4EE5\u6309Alt\u5E76\u70B9\u51FB\u8868\u8FBE\u5F0F\u6765\u547C\u51FA\u83DC\u5355\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathMenu.js");
+MathJax.Localization.addTranslation("zh-hans","MathMenu",{version:"2.4-beta",isLoaded:true,strings:{Show:"\u6570\u5F0F\u663E\u793A\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u7801",OriginalMathML:"\u539F\u59CB\u7684MathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F93\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u9519\u8BEF\u4FE1\u606F",Annotation:"\u6CE8\u91CA",TeX:"TeX",StarMath:"StarMath",Maple:"\u67AB\u53F6",ContentMathML:"MathML\u5185\u5BB9",OpenMath:"\u5F00\u6E90\u6570\u5B66",texHints:"\u5728MathML\u4E2D\u663E\u793ATeX\u63D0\u793A",Settings:"\u6570\u5B66\u8BBE\u7F6E",ZoomTrigger:"\u7F29\u653E\u89E6\u53D1",Hover:"\u6307\u9488\u60AC\u505C",Click:"\u70B9\u51FB",DoubleClick:"\u53CC\u51FB",NoZoom:"\u5E76\u65E0\u7F29\u653E",TriggerRequires:"\u89E6\u53D1\u9700\u8981\uFF1A",Option:"\u9009\u9879",Alt:"Alt\u952E",Command:"Command\u952E",Control:"Ctrl\u952E",Shift:"Shift\u952E",ZoomFactor:"\u53D8\u7126\u500D\u7387",Renderer:"\u6570\u5B66\u6E32\u67D3",MPHandles:"\u5141\u8BB8MathPlayer\u5904\u7406\uFF1A",MenuEvents:"\u83DC\u5355\u4E8B\u4EF6",MouseEvents:"\u9F20\u6807\u4E8B\u4EF6",MenuAndMouse:"\u9F20\u6807\u548C\u83DC\u5355\u4E8B\u4EF6",FontPrefs:"\u5B57\u4F53\u8BBE\u7F6E",ForHTMLCSS:"\u7528\u4E8EHTML-CSS\uFF1A",Auto:"\u81EA\u52A8",TeXLocal:"TeX\uFF08\u672C\u5730\uFF09",TeXWeb:"TeX\uFF08\u7F51\u9875\uFF09",TeXImage:"TeX\uFF08\u56FE\u7247\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08web\uFF09",LatinModernWeb:"\u62C9\u4E01\u6469\u767B\uFF08web\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u83DC\u5355",Browser:"\u6D4F\u89C8\u5668",Scale:"\u7F29\u653E\u6240\u6709\u6570\u5B66...",Discoverable:"\u60AC\u505C\u4EAE\u70B9",Locale:"\u8BED\u8A00",LoadLocale:"\u4ECEURL\u8F7D\u5165...",About:"\u5173\u4E8EMathJax",Help:"MathJax\u5E2E\u52A9",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u4F53",webTeXfonts:"\u4F7F\u7528\u7F51\u9875TeX\u5B57\u4F53",imagefonts:"\u56FE\u50CF\u5B57\u4F53\u4F7F\u7528\u4E2D",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u4F53",webSVGfonts:"\u4F7F\u7528\u7F51\u9875SVG\u5B57\u4F53",genericfonts:"\u4F7F\u7528\u901A\u7528Unicode\u5B57\u4F53",wofforotffonts:"woff\u6216otf\u5B57\u4F53",eotffonts:"eot\u5B57\u4F53",svgfonts:"svg\u5B57\u4F53",WebkitNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u636E\u4FE1\u65E0\u6CD5\u652F\u6301MathML\u672C\u8EAB\uFF0C\u56E0\u6B64\u5207\u6362\u5230MathML\u8F93\u51FA\u5C06\u53EF\u80FD\u5BFC\u81F4\u9875\u9762\u4E0A\u7684\u6570\u5B66\u516C\u5F0F\u4E0D\u53EF\u8BFB\u3002",MSIENativeMMLWarning:"Internet Explorer\u9700\u8981MathPlayer\u63D2\u4EF6\u6765\u5904\u7406MathML\u8F93\u51FA\u3002",OperaNativeMMLWarning:"Opera\u5BF9MathML\u7684\u652F\u6301\u5341\u5206\u6709\u9650\uFF0C\u56E0\u6B64\u8F6C\u6362\u81F3MathML\u8F93\u51FA\u53EF\u80FD\u4F1A\u5BFC\u81F4\u4E00\u4E9B\u8868\u8FBE\u5F0F\u65E0\u6CD5\u6B63\u5E38\u6E32\u67D3\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",LoadURL:"\u4ECE\u6B64URL\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\uFF1A",BadURL:"URL\u5FC5\u987B\u94FE\u81F3\u5B9A\u4E49MathJax\u7FFB\u8BD1\u6570\u636E\u7684JavaScript\u6587\u4EF6\u3002JavaScript\u7684\u6587\u4EF6\u540D\u5E94\u4EE5\u201C.js\u201D\u7ED3\u5C3E",BadData:"\u4ECE%1\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\u5931\u8D25",SwitchAnyway:"\u4E00\u5B9A\u8981\u66F4\u6539\u6E32\u67D3\u5668\uFF1F\n\n\uFF08\u70B9OK\u66F4\u6539\uFF0C\u70B9\u53D6\u6D88\u5373\u4EE5\u5F53\u524D\u6E32\u67D3\u5668\u7EE7\u7EED\uFF09",ScaleMath:"\u6570\u5F0F\u7F29\u653E\u767E\u5206\u6BD4\uFF08\u5BF9\u6BD4\u4E8E\u65C1\u8FB9\u7684\u6587\u5B57\uFF09",NonZeroScale:"\u500D\u7387\u4E0D\u5E94\u4E3A\u96F6",PercentScale:"\u500D\u7387\u5E94\u8BE5\u662F\u4E00\u4E2A\u767E\u5206\u6BD4 \uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u8FD9\u5C06\u5173\u95EDMathJax\u83DC\u5355\u4E0E\u7F29\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u70B9\u51FBAlt-Click\u6216\u70B9\u51FB\u4E00\u4E2A\u8868\u8FBE\u5F0F\u6765\u8FDB\u5165MathJax\u83DC\u5355\u3002\n\n\u786E\u5B9E\u8981\u66F4\u6539MathPlayer\u8BBE\u7F6E\u5417\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u83DC\u5355\u5C06\u5173\u95ED\uFF0C\u4F46\u60A8\u53EF\u4EE5\u6309Alt\u5E76\u70B9\u51FB\u8868\u8FBE\u5F0F\u6765\u547C\u51FA\u83DC\u5355\u3002",NoOriginalForm:"\u6CA1\u6709\u53EF\u7528\u7684\u539F\u59CB\u5F62\u5F0F",Close:"\u5173\u95ED",EqSource:"MathJax \u65B9\u7A0B\u6E90"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathMenu.js");
diff --git a/localization/zh-hans/TeX.js b/localization/zh-hans/TeX.js
index c5c440b8c..92f95baf1 100644
--- a/localization/zh-hans/TeX.js
+++ b/localization/zh-hans/TeX.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","TeX",{version:"2.3",isLoaded:true,strings:{ExtraOpenMissingClose:"\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7",ExtraCloseMissingOpen:"\u6709\u591A\u4F59\u7684\u53F3\u62EC\u53F7\u6216\u7F3A\u5C11\u5DE6\u62EC\u53F7",MissingLeftExtraRight:"\u4E22\u5931\\left\u6216\u989D\u5916\u51FA\u73B0\\right",MissingScript:"\u6709\u4E0A\u6807\u6216\u4E0B\u6807\u7F3A\u5C11\u53C2\u6570",ExtraLeftMissingRight:"\u989D\u5916\u7684\\left\u6216\u8005\u4E22\u5931\\right",Misplaced:"%1\u88AB\u653E\u7F6E\u4E8E\u9519\u8BEF\u7684\u5730\u65B9",MissingOpenForSub:"\u7F3A\u5C11\u4E0B\u6807\u7684\u5DE6\u62EC\u53F7",MissingOpenForSup:"\u7F3A\u5C11\u4E0A\u6807\u7684\u5DE6\u62EC\u53F7",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u786E",EnvBadEnd:"\\begin{%1}\u7531\\end{%2}\u7ED3\u675F\u4E4B",EnvMissingEnd:"\\end{%1}\u4E22\u5931",MissingBoxFor:"\u7F3A\u5C11\u7528\u4E8E%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u53F7",UndefinedControlSequence:"\u672A\u5B9A\u4E49\u7684\u63A7\u5236\u6570\u5217%1",DoubleSubscripts:"\u53CC\u4E0B\u6807\uFF1A\u4F7F\u7528\u62EC\u53F7\u6765\u660E\u786E",CantUseHash1:"\u60A8\u65E0\u6CD5\u5728\u6570\u5B66\u6A21\u5F0F\u4E2D\u4F7F\u7528'\u5B8F\u53C2\u6570\u5B57\u7B26#'",MisplacedLimits:"%1\u53EA\u5141\u8BB8\u5728\u8FD0\u7B97\u7B26\u4E0A",MultipleCommand:"\u591A\u79CD%1",IntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6574\u6570",NotMathMLToken:"%1\u4E0D\u662F\u6743\u6807\u5143\u7D20",InvalidMathMLAttr:"\u65E0\u6548MathML\u5C5E\u6027\uFF1A%1",UnknownAttrForElement:"%1\u4E0D\u662F%2\u7684\u5DF2\u8BC6\u522B\u5C5E\u6027",MissingArgFor:"\u4E0E%1\u76F8\u5173\u7684\u53C2\u6570\u7F3A\u5931",InvalidEnv:"\u65E0\u6548\u7684\u73AF\u5883\u540D\u79F0\u201C%1\u201D",UnknownEnv:"\u672A\u77E5\u7684\u73AF\u5883\u53D8\u91CF'%1'",MissingCloseBracket:"\u65E0\u6CD5\u627E\u5230%1\u7684\u53C2\u6570\u7684\u53F3\u201C]\u201D",MissingOrUnrecognizedDelim:"\u627E\u4E0D\u5230\u6216\u65E0\u6CD5\u8BC6\u522B%1\u7684\u5206\u9694\u7B26",TokenNotFoundForCommand:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E%2\u7684%1",MathNotTerminated:"\u6570\u5B66\u5F0F\u5728\u6587\u672C\u6846\u4E2D\u672A\u7ED3\u675F",CommandNotAllowedInEnv:"%1\u5728%2\u73AF\u5883\u4E2D\u4E0D\u5141\u8BB8",IllegalAlign:"\u6307\u5B9A\u7684\u5BF9\u9F50\u65B9\u5F0F%1\u4E0D\u7B26\u7F16\u8F91\u624B\u518C",BadMathStyleFor:"%1\u7684\u6570\u5F0F\u6837\u5F0F\u65E0\u6548",MultipleBBoxProperty:"%1\u5728%2\u4E2D\u6307\u5B9A\u4E86\u4E24\u6B21",ExtraEndMissingBegin:"\u6709\u591A\u4F59\u7684%1\u6216\u7F3A\u5C11\\begingroup",UndefinedColorModel:"\u8272\u5F69\u6A21\u5757\u201C%1\u201D\u672A\u5B9A\u4E49",ModelArg1:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u9700\u8981\u4E09\u4E2A\u6570\u5B57",InvalidDecimalNumber:"\u65E0\u6548\u5341\u8FDB\u5236\u6570",ModelArg2:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u5FC5\u987B\u5728%2\u548C%3\u4E4B\u95F4",InvalidNumber:"\u4E0D\u5141\u8BB8\u7684\u6570\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u63A7\u5236\u6570\u5217\u540D\u79F0",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u7531\u9017\u53F7\u5206\u5F00\u7684\u4E24\u4E2A\u6574\u6570",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u4E2A\u53C2\u6570\u5FC5\u987B\u662FUnicode\u5B57\u7B26\u503C",NoClosingChar:"\u672A\u80FD\u627E\u5230\u5173\u95ED\u7684%1",MissingCS:"%1\u5FC5\u987B\u8DDF\u7740\u4E00\u4E2A\u63A7\u5236\u5E8F\u5217",CantUseHash2:"%1\u7684\u6A21\u677F\u4E2D\u975E\u6CD5\u4F7F\u7528#",SequentialParam:"%1\u7684\u53C2\u6570\u5FC5\u987B\u987A\u5E8F\u6807\u53F7",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5176\u5B9A\u4E49",NoClosingDelim:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E\u7ED3\u675F\u7684\u5206\u9694\u7B26%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/TeX.js");
+MathJax.Localization.addTranslation("zh-hans","TeX",{version:"2.4-beta",isLoaded:true,strings:{ExtraOpenMissingClose:"\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7",ExtraCloseMissingOpen:"\u6709\u591A\u4F59\u7684\u53F3\u62EC\u53F7\u6216\u7F3A\u5C11\u5DE6\u62EC\u53F7",MissingLeftExtraRight:"\u4E22\u5931\\left\u6216\u989D\u5916\u51FA\u73B0\\right",MissingScript:"\u6709\u4E0A\u6807\u6216\u4E0B\u6807\u7F3A\u5C11\u53C2\u6570",ExtraLeftMissingRight:"\u989D\u5916\u7684\\left\u6216\u8005\u4E22\u5931\\right",Misplaced:"%1\u88AB\u653E\u7F6E\u4E8E\u9519\u8BEF\u7684\u5730\u65B9",MissingOpenForSub:"\u7F3A\u5C11\u4E0B\u6807\u7684\u5DE6\u62EC\u53F7",MissingOpenForSup:"\u7F3A\u5C11\u4E0A\u6807\u7684\u5DE6\u62EC\u53F7",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u786E",EnvBadEnd:"\\begin{%1}\u7531\\end{%2}\u7ED3\u675F\u4E4B",EnvMissingEnd:"\\end{%1}\u4E22\u5931",MissingBoxFor:"\u7F3A\u5C11\u7528\u4E8E%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u53F7",UndefinedControlSequence:"\u672A\u5B9A\u4E49\u7684\u63A7\u5236\u6570\u5217%1",DoubleExponent:"\u4E24\u4E2A\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6765\u6F84\u6E05",DoubleSubscripts:"\u53CC\u4E0B\u6807\uFF1A\u4F7F\u7528\u62EC\u53F7\u6765\u660E\u786E",CantUseHash1:"\u60A8\u65E0\u6CD5\u5728\u6570\u5B66\u6A21\u5F0F\u4E2D\u4F7F\u7528'\u5B8F\u53C2\u6570\u5B57\u7B26#'",MisplacedMiddle:"%1\u5FC5\u987B\u5728\\left\u548C\\right\u4E4B\u5185",MisplacedLimits:"%1\u53EA\u5141\u8BB8\u5728\u8FD0\u7B97\u7B26\u4E0A",MisplacedMoveRoot:"%1\u53EA\u80FD\u5728\u6839\u4E2D\u51FA\u73B0",MultipleCommand:"\u591A\u79CD%1",IntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6574\u6570",NotMathMLToken:"%1\u4E0D\u662F\u6743\u6807\u5143\u7D20",InvalidMathMLAttr:"\u65E0\u6548MathML\u5C5E\u6027\uFF1A%1",UnknownAttrForElement:"%1\u4E0D\u662F%2\u7684\u5DF2\u8BC6\u522B\u5C5E\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u6700\u5927\u5B8F\u66FF\u4EE3\u6B21\u6570\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",MissingArgFor:"\u4E0E%1\u76F8\u5173\u7684\u53C2\u6570\u7F3A\u5931",InvalidEnv:"\u65E0\u6548\u7684\u73AF\u5883\u540D\u79F0\u201C%1\u201D",UnknownEnv:"\u672A\u77E5\u7684\u73AF\u5883\u53D8\u91CF'%1'",MissingCloseBracket:"\u65E0\u6CD5\u627E\u5230%1\u7684\u53C2\u6570\u7684\u53F3\u201C]\u201D",MissingOrUnrecognizedDelim:"\u627E\u4E0D\u5230\u6216\u65E0\u6CD5\u8BC6\u522B%1\u7684\u5206\u9694\u7B26",MissingDimOrUnits:"\u7F3A\u5C11%1\u7684\u7EF4\u5EA6\u6216\u5176\u5355\u4F4D",TokenNotFoundForCommand:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E%2\u7684%1",MathNotTerminated:"\u6570\u5B66\u5F0F\u5728\u6587\u672C\u6846\u4E2D\u672A\u7ED3\u675F",IllegalMacroParam:"\u975E\u6CD5\u5B8F\u53C2\u6570\u5F15\u7528",MaxBufferSize:"MathJax\u5185\u90E8\u7F13\u51B2\u533A\u5927\u5C0F\u8D85\u9650\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",CommandNotAllowedInEnv:"%1\u5728%2\u73AF\u5883\u4E2D\u4E0D\u5141\u8BB8",IllegalAlign:"\u6307\u5B9A\u7684\u5BF9\u9F50\u65B9\u5F0F%1\u4E0D\u7B26\u7F16\u8F91\u624B\u518C",BadMathStyleFor:"%1\u7684\u6570\u5F0F\u6837\u5F0F\u65E0\u6548",PositiveIntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6B63\u6574\u6570",ErroneousNestingEq:"\u9519\u8BEF\u7684\u65B9\u7A0B\u5D4C\u5957\u7ED3\u6784",MultipleBBoxProperty:"%1\u5728%2\u4E2D\u6307\u5B9A\u4E86\u4E24\u6B21",ExtraEndMissingBegin:"\u6709\u591A\u4F59\u7684%1\u6216\u7F3A\u5C11\\begingroup",UndefinedColorModel:"\u8272\u5F69\u6A21\u5757\u201C%1\u201D\u672A\u5B9A\u4E49",ModelArg1:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u9700\u8981\u4E09\u4E2A\u6570\u5B57",InvalidDecimalNumber:"\u65E0\u6548\u5341\u8FDB\u5236\u6570",ModelArg2:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u5FC5\u987B\u5728%2\u548C%3\u4E4B\u95F4",InvalidNumber:"\u4E0D\u5141\u8BB8\u7684\u6570\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u63A7\u5236\u6570\u5217\u540D\u79F0",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u7531\u9017\u53F7\u5206\u5F00\u7684\u4E24\u4E2A\u6574\u6570",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u4E2A\u53C2\u6570\u5FC5\u987B\u662FUnicode\u5B57\u7B26\u503C",NoClosingChar:"\u672A\u80FD\u627E\u5230\u5173\u95ED\u7684%1",IllegalControlSequenceName:"\u975E\u6CD5\u63A7\u5236\u5E8F\u5217\u540D\u79F0%1",IllegalParamNumber:"%1\u6307\u5B9A\u7684\u53C2\u6570\u6570\u91CF\u975E\u6CD5",MissingCS:"%1\u5FC5\u987B\u8DDF\u7740\u4E00\u4E2A\u63A7\u5236\u5E8F\u5217",CantUseHash2:"%1\u7684\u6A21\u677F\u4E2D\u975E\u6CD5\u4F7F\u7528#",SequentialParam:"%1\u7684\u53C2\u6570\u5FC5\u987B\u987A\u5E8F\u6807\u53F7",MissingReplacementString:"%1\u7684\u5B9A\u4E49\u7F3A\u5C11\u66FF\u6362\u5B57\u7B26\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5176\u5B9A\u4E49",NoClosingDelim:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E\u7ED3\u675F\u7684\u5206\u9694\u7B26%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/TeX.js");
diff --git a/localization/zh-hans/zh-hans.js b/localization/zh-hans/zh-hans.js
index e30909c5e..7751dd3a0 100644
--- a/localization/zh-hans/zh-hans.js
+++ b/localization/zh-hans/zh-hans.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans",null,{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09",version:"2.3",isLoaded:true,domains:{_:{version:"2.3",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09",MathProcessingError:"\u6570\u5B66\u5904\u7406\u9519\u8BEF",MathError:"\u6570\u5B66\u9519\u8BEF",LoadFile:"%1\u52A0\u8F7D\u4E2D",Loading:"\u52A0\u8F7D\u4E2D",LoadFailed:"\u65E0\u6CD5\u52A0\u8F7D\u6587\u4EF6\uFF1A%1",ProcessMath:"\u6570\u5B66\u5904\u7406\uFF1A%1%%",Processing:"\u5904\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6570\u5B66\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u6D4F\u89C8\u5668\u6682\u4E0D\u652F\u6301MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/zh-hans.js");
+MathJax.Localization.addTranslation("zh-hans",null,{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09",version:"2.4-beta",isLoaded:true,domains:{_:{version:"2.4-beta",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09",MathProcessingError:"\u6570\u5B66\u5904\u7406\u9519\u8BEF",MathError:"\u6570\u5B66\u9519\u8BEF",LoadFile:"%1\u52A0\u8F7D\u4E2D",Loading:"\u52A0\u8F7D\u4E2D",LoadFailed:"\u65E0\u6CD5\u52A0\u8F7D\u6587\u4EF6\uFF1A%1",ProcessMath:"\u6570\u5B66\u5904\u7406\uFF1A%1%%",Processing:"\u5904\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6570\u5B66\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u6D4F\u89C8\u5668\u6682\u4E0D\u652F\u6301MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/zh-hans.js");
diff --git a/unpacked/config/AM_HTMLorMML-full.js b/unpacked/config/AM_HTMLorMML-full.js
index be7acdad8..54feed76f 100644
--- a/unpacked/config/AM_HTMLorMML-full.js
+++ b/unpacked/config/AM_HTMLorMML-full.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/AM_HTMLorMML-full.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/AM_HTMLorMML.js b/unpacked/config/AM_HTMLorMML.js
index 18457c21f..4d4bc7ba7 100644
--- a/unpacked/config/AM_HTMLorMML.js
+++ b/unpacked/config/AM_HTMLorMML.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/AM_HTMLorMML.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/Accessible-full.js b/unpacked/config/Accessible-full.js
index 9365e7393..488f9a327 100644
--- a/unpacked/config/Accessible-full.js
+++ b/unpacked/config/Accessible-full.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/Accessible-full.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/Accessible.js b/unpacked/config/Accessible.js
index 58eb2c68f..ae6866fdb 100644
--- a/unpacked/config/Accessible.js
+++ b/unpacked/config/Accessible.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/Accessible.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/MML_HTMLorMML-full.js b/unpacked/config/MML_HTMLorMML-full.js
index 52798186d..d6481bc03 100644
--- a/unpacked/config/MML_HTMLorMML-full.js
+++ b/unpacked/config/MML_HTMLorMML-full.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/MML_HTMLorMML-full.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/MML_HTMLorMML.js b/unpacked/config/MML_HTMLorMML.js
index c2359eee7..9064ccac0 100644
--- a/unpacked/config/MML_HTMLorMML.js
+++ b/unpacked/config/MML_HTMLorMML.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/MML_HTMLorMML.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js b/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js
index ab951f092..c3a2a8a23 100644
--- a/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-AMS-MML_HTMLorMML-full.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-AMS-MML_HTMLorMML.js b/unpacked/config/TeX-AMS-MML_HTMLorMML.js
index 347c6df15..ca69a95d4 100644
--- a/unpacked/config/TeX-AMS-MML_HTMLorMML.js
+++ b/unpacked/config/TeX-AMS-MML_HTMLorMML.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-AMS-MML_HTMLorMML.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-AMS-MML_SVG-full.js b/unpacked/config/TeX-AMS-MML_SVG-full.js
index 683520a00..decf09c7b 100644
--- a/unpacked/config/TeX-AMS-MML_SVG-full.js
+++ b/unpacked/config/TeX-AMS-MML_SVG-full.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-AMS-MML_SVG-full.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-AMS-MML_SVG.js b/unpacked/config/TeX-AMS-MML_SVG.js
index 0abbf07cf..26839312a 100644
--- a/unpacked/config/TeX-AMS-MML_SVG.js
+++ b/unpacked/config/TeX-AMS-MML_SVG.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-AMS-MML_SVG.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-AMS_HTML-full.js b/unpacked/config/TeX-AMS_HTML-full.js
index 64dfcdee0..a1f387ce7 100644
--- a/unpacked/config/TeX-AMS_HTML-full.js
+++ b/unpacked/config/TeX-AMS_HTML-full.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-AMS_HTML-full.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-AMS_HTML.js b/unpacked/config/TeX-AMS_HTML.js
index 57b8ed8d1..f2a3e2409 100644
--- a/unpacked/config/TeX-AMS_HTML.js
+++ b/unpacked/config/TeX-AMS_HTML.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-AMS_HTML.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-MML-AM_HTMLorMML-full.js b/unpacked/config/TeX-MML-AM_HTMLorMML-full.js
index 995285e92..e591e29a5 100644
--- a/unpacked/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/unpacked/config/TeX-MML-AM_HTMLorMML-full.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-MML-AM_HTMLorMML-full.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.
diff --git a/unpacked/config/TeX-MML-AM_HTMLorMML.js b/unpacked/config/TeX-MML-AM_HTMLorMML.js
index 21be25b2f..313ced4ef 100644
--- a/unpacked/config/TeX-MML-AM_HTMLorMML.js
+++ b/unpacked/config/TeX-MML-AM_HTMLorMML.js
@@ -5,7 +5,7 @@
  *
  *  /MathJax/unpacked/config/TeX-MML-AM_HTMLorMML.js
  *  
- *  Copyright (c) 2010-2014 The MathJax Consortium
+ *  Copyright (c) 2010-2013 The MathJax Consortium
  *
  *  Part of the MathJax library.
  *  See http://www.mathjax.org for details.